diff --git "a/data/dm_maths/full_data/1309_11255.jsonl" "b/data/dm_maths/full_data/1309_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1309_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the fourth biggest value in -2\/13, -0.4, -17, 16, 5, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 2)*(8*c + 71*c + 6*c) + (-3 - 2 + 4)*(-2*c + 4*c + c).\nAnswer: -598*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/5 - 17*p**2\/5 - 106*p\/5 - 88\/5 = 0 for p.\nAnswer: -4, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285*g**2 - 231*g wrt g?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1054 + -1048.77. Let w = -0.23 + t. Which is the third biggest value? (a) w (b) 0.1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/28 - 1047\/140. Find the common denominator of 7\/32 and k.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*z - 402, 0*z + 3*z + 819 = 4*o. Let g = -12 + o. Suppose 0*u + g = 3*u. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1071\/8 >= -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (610*z**2 - 610*z**2 - 9*z**4)*(-2*z + 5*z - z + (0 + 1 - 3)*(0 + 0 - 2*z)).\nAnswer: -54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220282 + 44755 = -5319*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6475\/(-26640)*36\/(-15)\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 309? (a) -2\/13 (b) -2 (c) 0.5 (d) -0.21 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.5067 and -0.1553.\nAnswer: 3.3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 8. Let a be r(7). Find the third derivative of 4*w**6 - 3*w**2 + w**6 - 2*w**a wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 18*b = -770. Suppose -43 = -l + b. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.05, -2\/5, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atataltratl. Give prob of sequence al.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9560 is divided by 255.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 - -402. Solve 0 = 14*b - l*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1429)\/12 + (-6)\/36. Let t = j - -120. Determine k, given that 0 + t*k**2 + 3\/4*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 8*r + 33. Suppose 3*a + 25 - 1 = 0. Let v be y(a). Suppose 0*u + 3*u + 4*p = v, u + 4*p = 91. What is the remainder when u is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 35*i**2 + 86*i - 43. What is b(18)?\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 28*c - 28*c)*(-100 - c - 108 + 223).\nAnswer: 4*c**5 - 60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - 22. Let k = a + 54. What is the least common multiple of k and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 5 (c) 2\/5 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(21\/(-7))*(8\/(-6))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**8\/896 - 9*q**7\/560 + 7*q**6\/160 + q**5\/80 - 15*q**4\/64 + 7*q**3\/16 + 20*q**2. Factor j(s).\nAnswer: 3*(s - 7)*(s - 1)**3*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1482570, 1482583, 1482594, 1482603, 1482610, 1482615?\n\"Answer: -k**2 + 16*k + 1482555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.1. Let t = 0 - g. Let i be (42\/1071)\/((-2)\/(-6)). What is the biggest value in i, -0.1, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - h + 5*h + 100 = 0, -104 = -3*x + 5*h. What is the greatest common factor of x and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89*99181.\nAnswer: -8827109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/4 + 45\/60. Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:56 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*j + 960*j = -1434*j - 77282 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 721\/4 - 1\/4. What is the greatest common factor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/31 (b) 2435 (c) 0.02 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1719*y**5 - 1448*y**2?\nAnswer: 103140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 8 = 3*k - u, -k - 9 = -3*u. Solve k*f - 12 = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let a(j) = 6*j + 1. Let w(q) = -6*a(q) - 10*d(q). Let g(b) = b + 1. Let h(z) = 4*g(z) + w(z). Let r be (-6)\/(-14)*(-14)\/(-18)*6. Give h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (7 + -11) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 82. Let z(q) = g - 29*q**3 + 10*q**2 - 8*q - 2*q**2 + 30*q**3. What is z(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f + 0*f)*(3*f**2 - 4*f**2 + 3*f**2)*(-44*f - 45*f + 86*f - 11).\nAnswer: -6*f**5 - 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 81.\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1171 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4180*s = -2649*s + 300476 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 76.181661s?\nAnswer: 0.0211615725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1747*i**5 - 199304*i**2?\nAnswer: -104820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93*s**3 + 324?\nAnswer: 279*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000597 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 57 - 48 + 14 - 11)*(9*n**2 + 107*n - 107*n) + n**3 + n**3 - 3*n**3.\nAnswer: -28*n**3 - 918*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-9451857.\nAnswer: -189037.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:04 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15106216?\nAnswer: 2, 19, 23, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 + 4*m**3\/3 - 2*m**2 - 9*m + 33. Calculate f(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5 - 422*n**4 + 42231*n**3 + 456668*n**2 + 784960*n + 370944 = 0.\nAnswer: -504, -8, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19380 and 27132?\nAnswer: 135660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - f - 28 = f, 0 = -a + 2*f + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q + 4. Suppose d + 6 = -r, q = -4*r - d - 2. Is (-481)\/26*r*(13 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-4 + -5 + 6 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2 - 7*i - 11. Let z(h) = h**2 - 4*h. Determine -t(x) + z(x).\nAnswer: -x**3 + 3*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1)*-1)**2 + sqrt(117) - (sqrt(78) + (sqrt(78) - (sqrt(78) - -1*(sqrt(78) + (sqrt(78) - (sqrt(78)*1 + sqrt(78)))))))\/sqrt(6).\nAnswer: 8*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = 0, -4*s - 62 = -u - 8*s. What is the tens digit of (-4 - -3 - 2) + u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2742*l**2 + 7498*l**2 + 3483*l**2 + 2660*l**2.\nAnswer: 10899*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 216737*v + 216741*v = 14, -2*r + 12 = r + 3*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7761687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(54)*-2 - ((sqrt(156)\/(sqrt(36)\/sqrt(3)) - sqrt(13)) + 0))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/21)\/(6\/603))\/((-14825)\/(-207550)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/((-105)\/(-112)) - 2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/3 + 19486*o\/3 - 9088588\/3 = 0.\nAnswer: -10189, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 50*z**2 - 366*z + 17. Is f(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 22 + 56. Calculate the remainder when 112 is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 850*k**2*r**4 + 371*k**2*r**2 + 316*r**4 - 144*r**2 wrt r?\nAnswer: 20400*k**2*r + 7584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 (base 4) in base 2?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/3 - 46504*o**2\/3 + 186028*o\/3 - 186032\/3 = 0 for o.\nAnswer: -46508, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 6 = 0. Suppose r*d + 5*w = -5, -20 = 2*d - 3*d + 2*w. Suppose -24 = -3*t + 6. Calculate the greatest common factor of d and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - l = 62619, l - 5*l - 104365 = -5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -68. Suppose z = 4 + j. Find the common denominator of 89\/4 and 43*(-2 - (1 - 32\/z)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 1, e: 2, p: 1}. Give prob of sequence sk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*z + 12459 - 12459 + 418*z as j*z + p and give j.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -113, -6, 4, -73, 17 in ascending order.\nAnswer: -113, -73, -6, -2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:32 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 4104?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/20, -15223, 3\/4, -8\/3, 1\/2?\nAnswer: -15223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157007 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(18\/4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10756429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7596.0947 and 0.121.\nAnswer: -7595.9737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l - 480. What is v(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -5. Let f be 468\/(-80) + g\/10. Let j = f + 25\/4. Which is the nearest to j? (a) -2\/7 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/55)*y**(-7)*y*y assuming y is positive.\nAnswer: y**(-273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) 14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, q: 5, y: 1, w: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:43 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -799 - 813*f**3 - 494*f**3 - 798 - 1078 with respect to f.\nAnswer: -3921*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**3 + i**2 - i + 1. Let k be j(1). Suppose k*h = 478 + 116. Let u be 1*((-18)\/(-2) - -2). What is the highest common divisor of h and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) + (-12)\/(-42). Let h(m) = b*m - 7*m + 4*m. Let l(d) = -15*d**2 - 9*d**2 + 25*d**2. Calculate h(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144.88134 or 2?\nAnswer: 144.88134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 471764 - 471756 = -3*c, 0 = -3*c + 5*p + 7 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 13) to base 2.\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1584266637 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 + -92.9. What is the fourth smallest value in o, -0.1, -2\/7, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:10 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:09 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 23*i - 47*i to w*i + r and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s + 3*k, k - 51 = -47. Let i(f) = 87*f**2 + 2*f + 206. Let h(y) = 437*y**2 + 11*y + 1030. Let r(v) = s*i(v) - 2*h(v). Differentiate r(g) wrt g.\nAnswer: 166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 421225443*a**2*u**3 - 1231005*a*u**3 + 48*a*u**2 wrt a.\nAnswer: 24*a**2 + 842450886*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43023 is divided by 250?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.0207 + 0.0207. Which is the third biggest value? (a) 0.2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let w(p) = 759 - 759 - 2*p. What is w(f(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.93 - -108. Which is the nearest to m? (a) 1\/2 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = -3*o - 36, -3*q + 4*o = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + -1105\/9. Suppose 0*q - 2\/9*q**4 + 0*q**3 + m*q**2 + 0 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/45, 2, 1261, 0.5 in ascending order.\nAnswer: -5, 2\/45, 0.5, 2, 1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 2 (c) 2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50980161, 101960317, 152940473, 203920629, 254900785?\n\"Answer: 50980156*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*n + 2*l + 5, 2*n - 4*l + 22 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (4 - (-120)\/95). Let r = 406\/171 + h. Let x = 694\/75 + -4\/75. Find the common denominator of r and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 23\/30*r**5 - 194*r**2 + 0*r**3 + 0*r + 0*r**4 + 0. Let f(t) = -2*t. Determine f(w(l)).\nAnswer: -92*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, 122, 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*n**3*v**3 + n**3*v**2 + 3*n**3*v - 2*n**3 - 3*n**2*v**3 + 12878*n**2*v**2 - 11*n*v**3 + 6*v**3 + v**2 - 11*v wrt v.\nAnswer: 330*n**3 - 18*n**2 - 66*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13054*l**2 + 13071*l**2 - 26127*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 greater than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(3010\/(-1247))*(-18)\/(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 13*i. Suppose 2*a - 2 - 2 = 0. Sort i, -2, a in ascending order.\nAnswer: -2, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = 4. Let k(p) = 2 - 4 + 0*p - p - u. Calculate k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1 (c) 1188 (d) -1\/2 (e) 4 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432032, -1728142, -3888326, -6912584, -10800916?\nAnswer: -15553322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145684 and 88?\nAnswer: 291368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = 0, 3*b = -0*b - 2*g + 449. Suppose 5 = -4*f - b. Let u = f + 89. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377119537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 209894, 419760, 629624, 839486, 1049346, 1259204?\n\"Answer: -r**2 + 209869*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 135 - 128 + 22)*(7*o - 5*o + 5*o) + (-5 + 2 + 4)*(-o**2 + 0*o**2 + 3*o**2) + 1 - o**2 - 1.\nAnswer: 8*o**2 - 1687*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 22. Which is the closest to f? (a) 0.5 (b) 2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 5*m - 5. Let q(z) = -z**2 - z + 1. Let c(h) = 2*a(h) + 10*q(h). Let d(t) = -27*t**2. Determine d(c(o)).\nAnswer: -108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g - 15 = 2*y, g = 5*y - 3. Let f(j) be the second derivative of -1\/12*j**4 - 1\/3*j**3 + y + 0*j**2 + 2*j. Let f(s) = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 8 (b) 0.178965 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 2022222220?\nAnswer: -2100000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 21*t = 31*t - 10560. What is the lowest common multiple of t and 220?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063 + 1078 - 2*w**2 - 2141.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -280*-762\nAnswer: 213360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 18*i - 4 = 0. Is 1*-1 - ((i - 300) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexeex. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 61 = -23*f, -4*s - 3683*f + 3687*f = -20 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f**2 - 233*f + 1167. Determine a(5).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y - 9. Calculate the remainder when c(-7) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b**2 + 11*b - 16. Let d(m) = 3*m**2 + 2*m - 3. Calculate -33*d(n) + 6*w(n).\nAnswer: -3*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17668*-139.\nAnswer: -2455852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327 + 459 + 465 + 411 - 9*z.\nAnswer: -9*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98, -410, -928, -1652, -2582?\n\"Answer: -103*k**2 - 3*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 243\/16*i**2 + 9\/8*i**3 + 1\/32*i**4 + 29*i + 0. Factor w(q).\nAnswer: 3*(q + 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -49. Let i be 126\/(-15) + ((-4)\/10)\/q. Let s(h) = -9*h + 5. Let n(z) = 14*z - 8. Give i*s(f) - 5*n(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2)*(-1)\/(4\/(-12)). Solve r*n - 8 = i, -8*n + 4*n = 3*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 1, 3, -3904 in descending order.\nAnswer: 11, 3, 1, -4, -3904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6358 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -512 + 1013 + 4*h**3 - 573 + 3*h**3 - 3*h**3 wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from kududqd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, -1\/3, -492, 2\/7, 6\/199?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l - 5*b, -6*l + 8*l = 4*b - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300103201 (base 4) in base 12?\nAnswer: -2a9aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55354, -111153, -167400, -224095, -281238, -338829, -396868?\nAnswer: -455355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -32. Let d = 55962 + -55938. Calculate the lowest common multiple of d and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(187)*2 + sqrt(187)))\/(-6*sqrt(33)\/sqrt(3)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3.8. Let t = -1.8 + j. Which is the third biggest value? (a) t (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4150*x - 47. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - -2*sqrt(84)) + sqrt(84) - sqrt(84))*-5 - ((sqrt(84) + sqrt(84)*2)*2 + sqrt(84)))\/(sqrt(120)\/(-3*sqrt(20)\/sqrt(2))).\nAnswer: 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhk when three letters picked without replacement from {k: 15, h: 5}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.677 - 23.\nAnswer: -54.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*x - 24 + 6, 4 = 2*l - 4*x. Suppose 3*u = -3*u + 7*u. Suppose l = s - u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 72?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 297*o + 3. Let n be q(1). Suppose 5*g + 2*u + 2*u - 300 = 0, 0 = -5*g + 5*u + n. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 9*c - 6. Let f be x(-6). Let v = f + -13. Let g be (v + -2)\/((-18)\/24). Solve 2*m = g*y + 4, 4*m = -5*y + 3*m + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22474477?\nAnswer: 359, 62603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + 0 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 6}. What is prob of sequence lk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 64*j + 43. Let p be u(-6). Let q = -216 - p. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5)*5\/2*-6. Which is bigger: c or -49?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 50, 65, 70, 65?\n\"Answer: -5*l**2 + 40*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*z + 4*w, 0*z - 14 = -4*z - 3*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*x = -51*x - 37*x - 59*x - 1380 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93854252?\nAnswer: 2, 23463563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 + z**3 - 50*z**2 + 48*z = 0?\nAnswer: -8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126029137*i - 360*i**2 - 1 - 607*i**2 - 126029137*i.\nAnswer: -967*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.31 - -70.69. Let z = 63 - t. Which is smaller: 2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 349164250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 + h + 6. Let z be b(0). Let k be 12\/(-189) - z\/27. Let j = 2\/45 - -13\/45. What is the closest to k in 4, 7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -24*f**2 - 4538*f - 164. Give g(-189).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(4)\/sqrt(2) + -2 + (sqrt(8))**2 + sqrt(2) + sqrt(2) - (0 + (sqrt(18)*6 + sqrt(2))**2 + sqrt(2))).\nAnswer: -710 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21886 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 126 = -4*m - 5*h, 2*m - 4*h = -84. Let p be 2*(m\/(-4) + -2). What is the greatest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 11455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3062.7884 to the nearest integer.\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63374, -506967, -1710958, -4055531, -7920870, -13687159, -21734582?\nAnswer: -32443323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3309.258t?\nAnswer: 3309258000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 12*z - 3. What is the units digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 - 423 = -4*o, 11 = 2*i + o for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -5\/4, -337, -11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 19. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672661.\nAnswer: 11, 61151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 0.3, -0.8, -0.52, 0.4 in descending order.\nAnswer: 50, 0.4, 0.3, -0.52, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 32 + 11 = 0. Suppose -41 + 11 = 10*u. Let r be 6\/u*(-2)\/(4\/1). Calculate the highest common divisor of r and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 462898 = 33*p - 8*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 5\/(15\/6). Suppose 3*m - k = m + 9, -3*k = -2*m + 7. Suppose -x + 3*t = -l - 9, -2*x + 31 = -m*t. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/60 and 53\/112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 2 + (29 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253348*r = -251847*r - 6004 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 2*d + 648. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 293359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**2 - 9 - 2*f + 3\/35*f**5 + 0*f**3 + 1\/70*f**6 + 3\/28*f**4. Determine w so that r(w) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3 in descending order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49223311*i**3 + 2*i**2 + 1218948 wrt i?\nAnswer: 295339866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 - 2*g**4 + (-203*g + 122*g + 209*g - g**3)*(-4*g + 4 - 4).\nAnswer: 3*g**4 - 512*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 172 (b) -20 (c) 2\/25 (d) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 4778*l\/5 + 9564\/5.\nAnswer: -2*(l - 2391)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/7, 17\/2, -498.7 in decreasing order.\nAnswer: 17\/2, 0.3, 2\/7, -498.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/66192 and 157\/16548.\nAnswer: 66192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - 244. Sort m, 2, -1.\nAnswer: -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 3, c: 1}. What is prob of picking 1 j, 1 s, and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8876 - 8875.7. What is the nearest to 0 in 2\/135, -3, -1\/3, i?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 - 38*j**3 - 18*j wrt j.\nAnswer: 20*j**3 - 228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 302, -5 in increasing order.\nAnswer: -52, -5, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 divided by 16?\nAnswer: -183\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x + 207740 = -22*x + 35*x. Is x a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82946 is divided by 13823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/20*3432\/10296.\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 8*j = -12*j + 2161768. Round j to the nearest 100.\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r - 3. Let n be z(4). Let m = 2 + n. Suppose -m*d + 364 = d. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 24\/4)*5\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -o + 43, -5*z - 5*o + 65 = -0*o. Find the common denominator of 31\/4 and 40\/(-16)*119\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 945*w**4\/4 + 2141*w**3\/6 - w**2 - 208*w + 1. Differentiate i(g) wrt g.\nAnswer: 5670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + y + 474 = 473, 3*y - 3 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1177 + 1181. Solve 5*x = -3*m + 1, 7*m = -4*x + 3*m + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5834661)\/(-14))\/1 + 10\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -147*((-8)\/(-12) + -1). Let w be (-12)\/(-5) + (-4)\/10. Suppose -5*n = -3*i + 107, -w*i = -i + n - y. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359679041 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 16) in base 8?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 3\/2 (b) -0.08 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**21*n*n**(-38)*((n**(-26)\/n)\/n)\/n**(-8\/15) assuming n is positive.\nAnswer: n**(-652\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -85*f - 4. Let u be h(-3). Suppose 4*o - u - 17 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**2 + s - 207. Let u(q) = -11*q**2 - 191. Calculate -5*d(l) + 4*u(l).\nAnswer: l**2 - 5*l + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66039812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4740468887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19247555221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33260099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136099474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -251*a - 4270. Let c be l(-17). Put -37, -8, -2, c in descending order.\nAnswer: -2, c, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 6190*k**3.\nAnswer: -6190*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(1539) + -1) + -5)**2 + (-4*sqrt(190))\/sqrt(10) + 0 + (-3 + sqrt(19) - sqrt(19)) + 1.\nAnswer: -9332 - 436*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -15. Let l(c) = c + 2. Let j be l(x). Suppose 5*p + 4*f - 67 = 0, j = 5*p - 0*f + 2*f - 61. Calculate the greatest common divisor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n - 2. Let g(s) be the first derivative of -5*s**2\/2 + s + 335. What is -2*a(z) - 5*g(z)?\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-5\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*n - 8, 2*k + 5*n = 4*k + 16. Suppose -p = -x - k*p + 40, -2*x + 82 = 3*p. Calculate the highest common divisor of 304 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12207 - -12196 - (122 - -1)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 11*r - 15*r + 69 - r**2.\nAnswer: -r**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v - 10. Let m be z(6). Let c(n) = -1 - 6 - m*n**3 + n**3 - 4*n**2. Does 5 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g**5\/5 - 1354*g**4 - 1052052*g**3\/5 - 1194478*g**2\/5 - 149189*g\/5 = 0. What is g?\nAnswer: -773, -193, -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -53, -87, -123, -161?\n\"Answer: -o**2 - 29*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 10*w**2 + 14*w + 18. What is the tens digit of v(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -5400?\nAnswer: -53a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-10)*t*t**27\/t)\/(t*t\/(t\/(t\/t**(8\/3)*t))*t)**49 assuming t is positive.\nAnswer: t**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 57 = m + 186, 4*m = 0. Sort t, 4, -4 in decreasing order.\nAnswer: t, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519771207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2467326 and 1568418?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222113332 + -3?\nAnswer: 1222113324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 6 (c) 1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8018 * -3239.\nAnswer: -5836.0302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1861 - 1250. Does 42 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y**2. Let p(h) be the second derivative of -4*h**3\/3 - 67*h - 2. Calculate p(w(g)).\nAnswer: 296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -416*(-453)\/4832?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjmmmbmljlmqpjl. Give prob of sequence mbq.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -6)\/308*6.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + 423\/45 - (-194)\/(-10). Is j not equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**3 - 1863*u**2 - 254*u + 3186. Determine d(-266).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148038108 and 2211.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1056960 and 151\/422784.\nAnswer: 2113920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 5*o + 1. Let h be r(-2). Let c be (h - (-21)\/9)*9\/6. Let j(m) = 8*m - 6. Let w be j(c). What is the greatest common divisor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 3*g + 3. Let u(j) = 6*j**2 + j - 3*j**2 - 5 + 7*j - 3*j. Let w(b) = b**3 + 4*b**2 + 3*b + 3. Let q be w(-3). What is q*u(v) + 5*x(v)?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 10.1\nAnswer: -5.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)\/i)\/(i**7\/i*i))\/(i*i\/(i*i**(-1)\/i)*i*i*i*i*i\/i**(2\/21)) assuming i is positive.\nAnswer: i**(-502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3 - 14. Find n, given that -5*n**2 + 22*n**3 - 5*n**3 - 11*n**3 + 10*n - w*n**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 19 = 3*w, w + 1 = 3. Let i(a) = 6*a + 34. Let m be i(z). What is d in -1\/5*d**2 + 7\/5*d**m + 0*d - 2\/5*d**3 + 0 - 4\/5*d**5 = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 36. What are the prime factors of q(14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from bwblbwlbllbbl.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(539) + -2)**2 + 3*sqrt(1331) + -2)*3.\nAnswer: 15*sqrt(11) + 1628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 < 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (0 + -3 + 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -5\/139, -18?\nAnswer: -5\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amv when three letters picked without replacement from {x: 4, m: 6, a: 2, v: 4, o: 1, u: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - 4) + 3 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24 + 121)\/(-3 + 2))\/33 + 3.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -32*f**2 - 2*f. Let r(u) = -8*u. Give r(p(l)).\nAnswer: 256*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25420 is divided by 1925.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.38. Let h = -19.38 - j. Let q = h + 19.1. What is the smallest value in q, 4, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {u: 4, k: 1, a: 4, q: 1, s: 2, b: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 392 = 33*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 0, -s - y = -2*y. Find d such that -1011*d + 1010*d + s*d**3 + d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20628 and 316818?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.84984 less than 0.5186?\nAnswer: -11.33124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 1, y: 2}. What is prob of picking 1 y, 1 r, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, -3, -45 in descending order.\nAnswer: 16, 3, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122915683 at least 122915683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2))**2 - sqrt(11))*-1 + -1 + (-5*2*sqrt(11) + -4)**2.\nAnswer: 81*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -136236 (base 7) to base 11\nAnswer: -18752","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 + 2*h**2 + 5 - 5*h + 2*h**2. Let u be l(5). Let n = -17 + 26. Calculate the highest common factor of n and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -967, -961, -955, -949, -943?\n\"Answer: 6*f - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890 = -225*x + 3140 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 104118.\nAnswer: 3644130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v + 4. Let a(f) = -f**3 + 4*f**2 - f - 2. Let x be a(2). Let q be w(x). What is the units digit of 1 + (2 - (q + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 15*r**2 + r + 49. Let t be m(10). Suppose -t*i = -557*i - 63098. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = n - 80. Is -18\/5 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2350341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 14) + -16 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let n(w) = w**2 + 9*w + 10. Let k(d) = 5*i(d) + n(d). Let p be k(-7). Find the third derivative of 0 + 3*v**2 - p + 1 - 6*v**6 wrt v.\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 30.6. Let n = d + -3.4. Which is the nearest to -0.1? (a) n (b) 0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 8\/105?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.7, -1, 2\/17, -2, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3 (b) -1 (c) 2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 2\/9 (b) -11.37 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(8 - 39 - 2)*(2*m**2 - 6*m**2 + 2*m**2).\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(322*6\/980)\/(-5*(-30)\/125).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27))\/((-8)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-30) + (-1)\/3. Let r be (-74 - 45560\/(-612))\/((-2)\/(-9)). Factor -22\/15*k + 2\/5 + g*k**3 + 2\/3*k**r.\nAnswer: 2*(k - 1)*(k + 3)*(3*k - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 2\/(-4). Suppose -9 = -g - 2*a, 2*g - 5*g + a - 1 = 0. Let s = y + g. Solve s = -z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 240223341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65347.2km in millimeters?\nAnswer: 65347200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5672)\/(-24)*(1 - 4)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/120 - p**4\/24 + p**3\/12 - 8*p**2. Let u(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40 and 0.03361458282621.\nAnswer: 40.03361458282621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3\/4, -0.24, 3, -0.1 in ascending order.\nAnswer: -2\/7, -0.24, -0.1, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 3. Let q = -9\/26 - 2\/13. Let b be 125\/(-15)*38\/4180*22. What is the closest to -1\/4 in q, r, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-28\/3)*m*m)**11 assuming m is positive.\nAnswer: m**(-242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) - (12 + 172\/(-10)). Suppose 4*x - o - 12 = 0, -3 = -x + 9*o - m*o. Solve 3*k + 3*z = -x, -2*k - 3*z - 5 = -2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5083, -5078, -5141, -5308, -5615?\nAnswer: -6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0187 + -149.6813. Let h = j - -149. What is the third smallest value in 3\/4, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7648502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 66*m - 105903. What are the prime factors of m?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.168 - 0.168. Let n be 122\/24 - (-3)\/(-9). Let i = -4 + n. What is the biggest value in i, w, 2\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 8*a + 41. Calculate the remainder when 81 is divided by i(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:18 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 54313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.90807, 2, -4, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -7*q**5\/120 + 5*q**4\/48 + q**3\/6 - q**2 - 2. Let y(i) be the second derivative of a(i). Factor y(o).\nAnswer: -(o - 1)*(7*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m - 2*i, 0 = i + 4 - 0. Let f be 1\/(0 + 2\/14). Let c = f - m. Solve 4*h - 2*t - 22 = 0, -2*h - 4*t - c = -2*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 23 = 3*c, -t + 2*c + c + 13 = 0. What is the common denominator of (1\/40)\/((-2)\/(-116)) and (-2695)\/280 - 10\/t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19501271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c85b57 - -4?\nAnswer: 9c85b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1138 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*u + 3855?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14147\/4 + -3555. What is the common denominator of (-33)\/(-44)*-286*(-2 + (-111)\/(-54)) and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14996210?\nAnswer: 2, 5, 17, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, w: 1, t: 1, b: 1}. Give prob of sequence nb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76\/27 - 48709\/297. Let y = j + 167. Which is the second biggest value? (a) 1\/2 (b) -1\/21 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 106. Solve z = q - 5*i + 5 + 5, -4*q + 5*i - 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1520\/(-2926))\/((-392)\/(-686))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 1. Let n(j) = 10*j**2 - j + 11. Let b(d) = 2*n(d) + 22*v(d). Let z be 24\/40 - (72\/(-5) + 1). Let g = 12 - z. Give b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/27257965?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3034594000 to the nearest one million.\nAnswer: 3035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2480104503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*l + 26, -l + 12*g = 16*g - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*p - 8, -3*x - 5*p = -0*x - 30. Suppose m - 314 = -g + 47, x*m = -15. What are the prime factors of g?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - l**2 + l + (5*l**2 + 6*l**2 - 5*l**2)*(3 + 2 - 4).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4890 is divided by 659.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-13)\/(-3). Let v = 192 - 213. Let h = 21 + v. Solve h = t*u - 2 + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-3)\/(-6))\/2. Suppose 0 = -w*b - 5*b + 50. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -30*c - 3*b + 9, -2*c = 5*b - 23. Suppose 40 = 7*d - 2*d + 2*r, 3*d - 33 = -3*r. What is the greatest common divisor of d and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/66 - ((-1320)\/(-45) - 30)) + 3760\/(-55).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let q(i) = -41. Let m(b) = -b**2 + 83. Let u(l) = -6*m(l) - 11*q(l). Let z(c) be the first derivative of u(c). What is z(j(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.091 + 0.039. Let u = 12 - 11.87. Let l = z - u. Which is the third biggest value? (a) 0.4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 11*y**2 + 10*y + 2. Let h be u(10). Suppose -5*x = -87 - 8. What is the tens digit of x\/2*h - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/35 in -5, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*l + 1438 + 1676, -4*l + 2*n + 2490 = 0. List the prime factors of l.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 16*a + 29. Suppose 4*v - 68 = -4*j, -5*j - v + 21 + 60 = 0. Let o = j + -3. What is the remainder when n(-10) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 1725 - l**2 + 577 - 61*l**3 + 570 + 577 + 2*l**3 to the form a*l + y + d*l**3 + c*l**2 and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/8229 and 145\/78.\nAnswer: 16458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/5 - 2*m**4\/5 - 8*m**3\/5 + 16*m**2\/5 + 16*m\/5 - 32\/5.\nAnswer: (m - 2)**3*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*p**3*t**2 + 17*p**3 + 1198*p**2 + 1730*t**2 wrt t.\nAnswer: -20*p**3*t + 3460*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31568*k**3*w**2 + 1807*k**3 - k**2*w**4 wrt w.\nAnswer: 63136*k**3*w - 4*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 4. Let u = -100 - g. Let z = u - -58. Which is the third biggest value? (a) -3 (b) z (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-120)\/75)\/((-4)\/(-10)) - -2447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2424, 2282, 2046, 1716, 1292?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -11.9. Let n = q - -7. What is the biggest value in -1\/4, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40320.4 and -1.3?\nAnswer: -52416.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*o + 1057 = 0, 2110 - 475 = 3*f + 9*o. Calculate the highest common factor of 352 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 2*h - 2*h - 38, -3*h - 27 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*t = -0*t - 8, -r + 3*t - 1 = 0. What is the common denominator of -2 + 85\/(-24) + r\/4 and 19\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 + 6*m**2 - 15*m - 6. Let v be t(10). Sort 2, v, 1.\nAnswer: 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452982084 a multiple of 1732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*h + 2*h**4 + 1665*h**3 - 1654*h**3 + h to x + k*h**4 + r*h**3 + c*h + i*h**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 6, 0 = 3*f + 4*i + 38 - 46 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.95 - 50882.\nAnswer: -50895.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moo when three letters picked without replacement from nnonoooomnmomo?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {h: 4, m: 1, d: 3, a: 5, t: 5}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120590011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**(-1\/7)\/a)*a*a)**(3\/4)\/(a**(2\/15)*a**(-2\/37)*a))**(6\/11) assuming a is positive.\nAnswer: a**(9929\/14245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*p - 5*p - 20 = 0, -11 = -2*w - p. What is the remainder when 28 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -i, 2*i - 3*i - 3*b = 0. Suppose -w = -4, d = -i*w + w - 5. Let k(o) = 1200*o**2. Let j be k(d). What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8336954*u**2 + 70327*u**3 + 8336954*u**2.\nAnswer: 70327*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651280055?\nAnswer: 3, 5, 23, 251, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(900) + 4*sqrt(900)).\nAnswer: sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -4*j**3\/3 + 1. Let g(i) be the first derivative of -i**2 + 7. Determine v(g(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18035076 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 38*g**2 - 81*g - 12. Determine z(-40).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61.96 - -63.0417. Round c to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2129 + -2125. Solve -8 = h*j - 2*y, 3*j - 8*y = -5*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -38. What is the common denominator of (1\/f)\/((-24)\/(-1580)) and 366\/28*(-2)\/(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 10696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s**2 + 6*s**3 + 22*s**2 - 1 - 28*s**2 - 18*s**3 in the form f + v*s + y*s**2 + b*s**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114\/11, -3, -2\/5, -65 in ascending order.\nAnswer: -65, -3, -2\/5, 114\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093301 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280548 and 506.\nAnswer: 14086028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165866565018757 + -5.\nAnswer: 165866565018752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = t, t + t = 2*n + 4. Let l be t + 1 - -1*1. Suppose 8 + 36 = 4*j - 4*v, 3*j + 3*v - 51 = l. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 7, 1\/3, -0.54, 17, 1\/2, 44?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and 0.111.\nAnswer: 9.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 6) to base 13\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 + ((-4806)\/(-24))\/9. Which is the third biggest value? (a) -0.23 (b) x (c) -9\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by 39368?\nAnswer: 3\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/v**(-4))\/v)\/v*v)\/v)\/(v**(-8)*v*v))\/((v**1*v)\/v)**(-10)*((v*v*v**(-2))\/v)**39\/(v\/(v\/v**(3\/2))*v**(-4)) assuming v is positive.\nAnswer: v**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i - 2*p + 28, 0 = 5*p - 5. Sort -1, 2, i in increasing order.\nAnswer: -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-9)*b**(6\/5)*b**(1\/5)*(b\/(b\/b**(-5)))\/b)**(-27))**(-2\/19) assuming b is positive.\nAnswer: b**(-3402\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.4, -1\/8, -0.5, 4\/5, -2\/9 in decreasing order.\nAnswer: 30.4, 4\/5, -1\/8, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.071 - -20.071. Put -2\/11, g, 4\/5 in descending order.\nAnswer: g, 4\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + ((-843024)\/4816 - -102).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -131 - ((16 - 32) + -57)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 771.\nAnswer: -4\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - 3*p**2 - p**2 + (-1 + 0 + 2)*(0*p + p**2 + 0*p) + (-2 + 0 + 4)*(3*p - 5*p + p)*(-p + 0*p + 3*p) as v*p + d + q*p**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 304320444 (base 5) to base 13\nAnswer: 34797a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -147\/7150 and -27\/19170250.\nAnswer: 249213250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -6*z + 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2 + 2 + 37*q - 37*q + 1 - 3*q**2. Let n(b) = 16*b**2. Calculate v(n(z)).\nAnswer: -768*z**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1908b (base 14) to base 7\nAnswer: -352234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 698624 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: Suppose -v = -u + 70, 3*v - 48 = 2*u - 189. Suppose g = 151 + u. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3*r + 6. Let k = 0 - 4. Let l be x(k). Solve -l*s + 5 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10759980 = -a - 4*n, 10 = 2*n. Round a to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000 (base 5) to base 8.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 37 = 4*d, -3*d = 3*z - z + 1. Suppose -d*n + 4*n = 77. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-39\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 + 20.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.047861 and -5.\nAnswer: -4.952139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -331, -681, -1055, -1465, -1923, -2441, -3031?\n\"Answer: -2*w**3 - 336*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-72) + 1\/((-80)\/12). Find l such that 18\/5 + 39\/5*l + 24\/5*l**2 + a*l**3 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3352?\nAnswer: -1\/3352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 11:17 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (1 - 3) + -5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 471 * -30900\nAnswer: -14553900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 2. Let o be n(2). Let s = -17 - o. Let d be 2 + s\/((-4)\/48). Solve -6 = -4*t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -81*y**2 - 720*y + 508. Let z(j) = 1055*j**2 + 9375*j - 6605. Let l(i) = 105*v(i) + 8*z(i). Factor l(c).\nAnswer: -5*(c + 10)*(13*c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 - 4*d - 5. Let c(k) = -6*k**2 - 3*k - 4. Suppose -70 + 80 = -2*z. Give z*c(p) + 4*m(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 639*n - 32886 = 0. What is n?\nAnswer: 87, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61031 - -61031. Let d(v) = -4*v**2 - 2*v + v**3 + 4*v**2 + 3. Calculate d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 6*r + 27. Suppose -37*g + 96 = -49*g. List the prime factors of x(g).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 14) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383 - 157. Calculate the common denominator of (-11)\/22 - d\/96 and -99\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + q)*(-1069 + 1548 + 2296 + 1384).\nAnswer: -16636*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1 (c) -1\/42973 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2 - 6\/(-2)). Solve -1 = t*v - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641132 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -2 + 10 - (2 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 483068 - 183195. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-7))\/(88\/(-308)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.735*197018.\nAnswer: 144808.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12*o - 24. Let j be (6\/9)\/(((-1032)\/27)\/(-8) - 5). Calculate h(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/3 (b) -5 (c) 2\/11 (d) 300\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -1 + 12)*(18 + -12). Let d = 74 + -61. Let k = 43 - d. What is the highest common divisor of u and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/87? (a) 3 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 4*t**4 - 3*t**4)*(3 - 2*t - 3) + 4*t**2 - 4*t**2 - t**5 + (-2*t**3 + t**5 + 2*t**3)*(-6 + 3 + 2) + 0*t**2 + 0*t**2 - t**5.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4263*o - 82. Let m be l(14). What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1297 + 4681. What are the prime factors of v?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 128 = 2*t, -2*g + 53*t = 48*t - 140. Calculate the greatest common factor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.3. Let k = -101 - -95. Which is the third smallest value? (a) k (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + 33?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 + 254*h**2 + 502*h + 250 = 0 for h.\nAnswer: -125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhxlmxhmxxlxxmggmo. What is prob of sequence ghxm?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 356, 130, -96, -322?\n\"Answer: -226*c + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 14. Solve 0 = -0*f - 3*f - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2740459.\nAnswer: 5\/2740459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 2 + 9*q - 4*q + 11*q. Suppose n - 5*x + 1 = -n, 0 = 3*x - 3. Is 14 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*g**3*l + 3*a**3*l**3 + 15*a**2*g**3*l + a*g**3*l**3 + 3*a*g**3*l**2 + a*g**3*l + 21*a*g*l**4 wrt l.\nAnswer: 18*a**3 + 6*a*g**3 + 504*a*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.94749763 - -0.94816. Round s to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5)\/((-4)\/10). Let v be (-6)\/(-4)*(-1 + o). Is 96620\/30 - (-1)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4108*b**3 + 5*b + 25410 with respect to b.\nAnswer: 12324*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -140 (b) 8007 (c) 34 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12 + (-194)\/8. Let h = -16 - n. Suppose 3*a - 4*k + h = 0, 4*k = -2*a + 3 + 5. Solve 3*g + 3*f + 12 = 0, a = -2*g - 8*f + 4*f - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(130)\/(sqrt(110)\/sqrt(275)) + (-2*sqrt(52)\/sqrt(4) + (sqrt(104)\/sqrt(2))**2)*-6.\nAnswer: -312 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 9*g + 4. Let u be x(-9). Let i(s) = -s**3 + 4*s**2 + 2*s - 4. Let f be i(u). Calculate the greatest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*d - 1205*d + 54370 = 7306 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 6 = -3*d, 4*d + 1 = -n + 6*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -5*y**4\/24 - 10*y**2 - 33. Let m(z) = 1 - 1 - 8*z. Calculate a(m(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14874 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 1 + (1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 + 204788*j\/3 - 10484531236\/3 = 0. What is j?\nAnswer: 102394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-21))\/(15\/(-70)*126\/(-378))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 + 2*y - 3. Let z be b(2). Are z and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p - 46. What is the hundreds digit of x(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-5)\/3) - -1. Let d = -307 - -286.1. Let r = 21 + d. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - 0.1. What is the third biggest value in o, 0.4, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -608, -603, -588, -563, -528, -483, -428?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 3, -173937\/5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43947616?\nAnswer: 2, 1373363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-5080)\/(-13716)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2166640 and 468076.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkfj when four letters picked without replacement from {j: 1, k: 1, f: 1, m: 2, e: 1, w: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g**2 - 3*g - 1. Let t(y) = -9*y**2 - 2*y - 1. Calculate 4*a(x) - 5*t(x).\nAnswer: 5*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 2. What is the units digit of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 14) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + sqrt(96)*2)\/sqrt(12) - sqrt(8).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**7\/420 + d**6\/90 - d**5\/40 + d**4\/12 - 41*d**3\/6 + d**2 + 19*d. Let p(m) be the first derivative of v(m). Calculate p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 + 228*t**2 - 526*t + 240. Let k(q) = -5*q**3 + 228*q**2 - 525*q + 256. Let w(m) = -3*j(m) + 2*k(m). Factor w(g).\nAnswer: 4*(g - 26)*(g - 2)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*w**4 + 165870\/11*w**2 + 487350\/11*w + 1146\/11*w**3 + 0 = 0.\nAnswer: -285, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*l - 9*u + 4*u, 5*l = 4*u - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(616\/33))\/((-27)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186113 is divided by 509.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 275\/4 in 3, 1, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18672.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 3*i)*(2 - 2 + 2) + (-79 + 182 - 59)*(0*i - 2*i + 0*i).\nAnswer: -86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:02 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534785428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7*s**4\/12 - 8*s**3\/3 - 3*s**2. Let p(u) = 4*u - 2. Let t be p(4). Let o be x(t). Round o to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004073 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33925911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2528*p**3 + 4*p**2 - 25 wrt p?\nAnswer: 15168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65833871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + ((-21)\/19)\/(-1). Which is the closest to 2\/5? (a) -0.3 (b) 4\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18446 - 0.1.\nAnswer: -18446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.09 - -2191.91. Sort 4, 5, f in ascending order.\nAnswer: 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let w(n) = -5*n - 7. Give 2*t(d) - w(d).\nAnswer: 3*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*c - 1023 = 196*c - 301 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*q + 21905 - 2275. Calculate the greatest common factor of q and 676.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 83 = -59. Suppose -16 = -2*r - 3*k, s = -r - 5*k + 18. Sort r, 0, 1 in descending order.\nAnswer: r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 + -3.42. Let u = 0.68 - x. Is u bigger than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvjr when four letters picked without replacement from vrjvvrvvvvjvfjfv?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((240\/(-72))\/(-5))\/((-256)\/(-24)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**2 - 4602378*c - 920476 = 0. Calculate c.\nAnswer: -1\/5, 460238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.595 or -0.2162?\nAnswer: 0.595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168*j**4 - 240*j**2*u - 855745*u wrt j.\nAnswer: -672*j**3 - 480*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 717\/5. Let v(z) = -z**3 - 7*z**2 - 7*z - 4. Let u be v(-6). Let p = u + -5. Which is the third smallest value? (a) k (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289470 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 3, 4 = -4*y - 4*f. Let c(p) = 0*p**2 + 0*p + 4*p**y - 3*p**2 + 5*p - 4. Let i be c(-6). Solve 5*h + i*j = 4*j - 30, 0 = 5*h + j + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/3537 - -215761\/14148. Find the common denominator of -113\/20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 6*z**2 - 3*z - 6. Let s be d(5). Let f be (16\/(-14))\/((-16)\/56). What is the first derivative of -22*v**4 + 1 + 10*v**f + 9*v**s wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:18 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 9}. Give prob of sequence mk.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2520 = -10*z - 95*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111358622143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11075718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -38. Suppose -5*i + 5*j - 10 = -6*i, i - 5*j + 30 = 0. Calculate the common denominator of -69\/2 and i\/w + 6 + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-5\/3)\/f*f)\/f)*f*f*f)\/((f*f*f\/f**7)\/f)*((f**(-1)\/f)\/f*f)**(2\/35) assuming f is positive.\nAnswer: f**(1213\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.175 - -24.325. Let y = s + -29.5. Sort y, -0.15, -2, 1.\nAnswer: y, -2, -0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81890 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47451\/937 > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-17 - 20) - (-6 - (-6 - -2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 = -6*o, -2*l + 2*o + 66 = 0. Let g = l - 12. Let s = 20 - g. Solve 10 = -s*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -12. Suppose -29*y - 23 = h. Let n = 1 + -1.5. What is the smallest value in n, y, 0.1, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 154547583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 4, g: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 122 in increasing order.\nAnswer: 2, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100680691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 735 + -9571\/13. Let q = 229\/91 + t. Let j = 107 + -106. Is q greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -13. What is the remainder when 74 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*(65 - 64)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329056983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**5 - p**4 + p**3 - p**2 + p - 1. Let k = -19 + 21. Let x(c) = c**5 + 8*c**4 - 5*c**3 - 4*c**2 - 2*c + 2. Let h(w) = k*f(w) + x(w). Factor h(r).\nAnswer: 3*r**2*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 42 = 38 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3099 + -1450. List the prime factors of q.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486439131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69 - 28*h**4 - 5*h**4 - 18*h**4 wrt h.\nAnswer: -204*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/429136 and -93\/107284.\nAnswer: 429136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.96 + -46. Sort y, 0.2, 2 in descending order.\nAnswer: 2, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 8*m + 14. Is u(12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430976 plus -0.3?\nAnswer: 430975.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*i**4 + 1107*g**3 - 821507*g**2*i**4 + 152*g*i**2 wrt i.\nAnswer: 24*g**3*i - 19716168*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 634250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 94629.81 minutes?\nAnswer: 5677788600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 353614 and 25?\nAnswer: 8840350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffl. What is prob of sequence fl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4191 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 15, 19*i + 815997 = 2*r + 18*i. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 267. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7386415.8 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64760, -64761, -64762?\nAnswer: -64763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 92. Let w(l) = l + 35. Let y be w(-20). What is the units digit of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 11\/4, 2.\nAnswer: 2, 11\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -4083824?\nAnswer: 4083823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 3*m - 30. Let s be g(11). Let h(p) be the third derivative of 0*p**s + 9*p**2 + 0*p + 1\/6*p**4 + 0. Let j(o) = o. Give h(j(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160629 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 3.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -o - 6, 7*o - 3*o = 5*u - 2. Suppose -3*r + 135 + 1421 = u*l, -10 = 5*l. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 4*p + 4 = 0, -5*b = -5*p - 30. Let a(s) = -b*s**2 - 6*s**2 + 13*s**2 - 15*s**2 - 4*s**2. Let u(q) = -9*q**2. What is u(a(c))?\nAnswer: -2304*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x**3 + 7*x**2 + 28*x - 154. Does 100 divide i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 228.7805 millimeters?\nAnswer: 228780500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v. Let t be ((-64)\/(-12))\/(4\/(-12)). Let m be (-389)\/(-1) - t\/12*3. Let h(z) = -2 + 382*z + 2 - m*z. What is h(p(d))?\nAnswer: 55*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-48)*(-166)\/(-3). Let f = y - 88. Let k = 1 - -2. Sort k, f, 5 in ascending order.\nAnswer: f, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2)\/(50 + -51). Solve 0 = -t + n*f - 0 - 6, 3*f - 11 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(8) + -5 + 3 + sqrt(6)\/sqrt(3)).\nAnswer: -72*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d - 1. Let t(v) = 2*v**3 + 5*v**2 - v + 10. Let r(o) = -t(o) + y(o). Let b be r(-7). Suppose -285 = -11*l - b. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8, -5*h + 5*u = -9 - 346. Solve 139 + 86 = -h*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739612\/1435 - 3608\/7. Is 0 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -0.06942831?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/27826 and -33\/4?\nAnswer: 55652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 567532796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9706 (base 12) to base 11\nAnswer: -114a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1167*u - 971*u + 689*u)*(-4 + 1 + 2) to c*u + s and give c.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3111 - -34?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -17 - (-5 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117506, 117610, 117792, 118052, 118390, 118806?\nAnswer: 119300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7989 + 7991. Let t(l) = -9*l**2 + l + 2. Let u be t(-4). Does 11 divide z*(u\/(-4) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (22 - (2 + 25))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 9*c + 7. Let b(q) = q**3 - 3*q - 2. Determine 7*b(y) + 2*f(y).\nAnswer: y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let k be w(-4). Suppose -5*n + 17 = x, n - 5 = -5*x - k. Let g be 1\/(-3)*(-2)\/n. Which is the third biggest value? (a) 5 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5\/3 - 10*u**4\/3 + 16*u**3 + 42*u**2.\nAnswer: -2*u**2*(u + 3)**2*(2*u - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 9. Let p be j(7). Let i(g) = 0 - 5*g**2 - 3 - 3*g + 8*g + 6*g**p. What is i(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -66, -108, -156, -210?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -1705, -2\/3 in descending order.\nAnswer: -2\/3, -37, -1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a factor of 125087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = 3*s, -s - 4*n + 11 - 3 = 0. Let c = -45 - -55. Suppose s = -5*v + c, -55 = -2*b - 3*v + 13. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + 187. Let t = -288.16 + j. Round t to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*u + 20*u + 9*u**2 + (-25*u - 75 + 75)*((-4 - 1 + 4)*(u + 3 - 3) - 5*u + 2*u - u).\nAnswer: 134*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11373, -11393, -11449, -11559, -11741?\nAnswer: -12013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002162613 rounded to six decimal places?\nAnswer: 0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -49. What is the third derivative of -3940*f - 29*f**2 + 3940*f - c*f**3 wrt f?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 11\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1046 + 3483. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 2 + sqrt(891))**2 - (sqrt(110)\/(sqrt(10)*1) + sqrt(132)\/(2*sqrt(12) - sqrt(12))).\nAnswer: -4460 - 92*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g*g**(-5\/4))**8*g*(g*g\/(g**(-4\/7)\/g))\/g*g*g*g\/(g\/((g*g\/(g\/(g*g\/g**1)*g))\/g)*g)*(g**(-1))**37 assuming g is positive.\nAnswer: g**(-577\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.4 - 9. Suppose 7*q = 3*q - 4*y - 44, 2*q + y = -27. Let u be 6\/q + 1 - 1. Which is the biggest value? (a) -1\/3 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 312?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 7, f: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h + 16 = 37*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13929*(3 + -2) - (-12 - -10))*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/86 and -41\/387?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866 = 10*c + 3984. Let j = 340 - c. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = u + 8 - 85, 4*u = -3*a + 273. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2307 + 2363. Which is bigger: 73 or u?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -5*g + 36. Let y = g - 13. Suppose 5*w - y = -0*w. What is the highest common divisor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 2*y)*(-1 + 2 + 1)*(0 + 2 + 0)*(0 + 2 + 0).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13446 and 95616.\nAnswer: 860544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-28) - 44\/110*(-1210)\/176?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1)\/(630\/84).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1459549, 13, -2\/31?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1217\/9 - 135. Let q = 1.3 - 0.8. Let f = 247 - 240. Sort f, o, q in ascending order.\nAnswer: o, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 112 = 118, -2*i = -4*s - 28. Solve a = -4*o - 8, -9*o - a + 1 = -i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -30*j + 162. Let s be k(5). Calculate the least common multiple of s\/(-10)*((-45)\/6)\/3 and 98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66896, 132944, 198992, 265040, 331088?\nAnswer: 397136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3*b**2\/2 + b - 2. Let k be x(1). Suppose -2*o = -a + 23, a + 7 = -0*o - k*o. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = 0, -3*l - o = 206 - 204 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12282282*z + 12282283*z - 24564562*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 13. Let g be 5*(1 - 4\/2). Calculate the remainder when 38 is divided by z(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6350.763 days?\nAnswer: 548705923200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 3*b + 4. Let c be z(4). Suppose c*p = 2*p - 26. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.205 times 13\nAnswer: 2.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-40)\/70)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = 21621 - 56337. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 91*i**3 + 50*i**2 + 29*i - 12. Let c(s) = -31*s**3 - 15*s**2 - 9*s + 4. Calculate -10*c(w) - 3*n(w).\nAnswer: 37*w**3 + 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2 + 0*h**3 - 8 + h**3. Let b(s) = 9 + 2 - 31*s**3 + 29*s**3. What is 4*b(y) + 7*g(y)?\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2\/7 - 268*z\/7 + 240 = 0.\nAnswer: 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.8 - -0.2. Let u = k - 24. What is the nearest to -0.1 in u, 2, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480130 rounded to the nearest 10000?\nAnswer: 6480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/99*(48984\/(-520))\/(-157).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -17. Suppose -3*h + h - l = 0. Let a(f) = -f. Does 4 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -3 + 0 - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5076323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -10) + 26 + -21 - 31.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.119446 tonnes?\nAnswer: 119446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 4*u - 1152 = 5*u. Calculate the remainder when 133 is divided by u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8376534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.06 (b) -14 (c) -3\/4 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6059 - -3868. What are the prime factors of t?\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/132*-2*12\/18.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 92*c + 280. What is the remainder when 616 is divided by r(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1079942014*d**2 - 479*d - 186782.\nAnswer: 2159884028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -17.032. Let c = g - 4.268. Let v = 0.3 + c. Which is bigger: v or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0) + (0 - -1). Let x(v) = -v**3 - 6*v**2 - 5*v + 7. Let j be x(-5). Let d = j - 5. Solve 0 = -b - w - d - 1, i = -5*b + 5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(14 + 23 + 100)*((4*n + n - 4*n)*(2 + 1 - 5) + 1 - 1 - n - n - 1 + 1)*(n - n + n).\nAnswer: 548*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -17*i**3 - i**2 - 1. Determine t(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let f(h) = -47714*h**2. What is f(w(o))?\nAnswer: -47714*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -3*c + 5*t - 443, -47 = -5*c + 3*t. Solve -11*i = c*i + 120 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, -h + 12 = -4*k - 6*h. Let r(m) = 4 - 2 + 0 + 3*m. Let v(y) = -3*y - 2. Determine k*v(t) - 4*r(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let k(q) = -q**2 + 60*q - 5. What is r(k(l))?\nAnswer: l**2 - 60*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 21, 11, -17, -69, -151, -269, -429?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 24*z**2 - 61*z - 39. Determine g(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 13. Let u = -7 + p. Let o be (9\/(-12))\/(3\/u). Calculate the highest common factor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -7*v**4\/6 - 177*v**2. Let k(c) be the second derivative of -c**3\/3 - 2*c. Calculate t(k(w)).\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 47, -1\/4, 18, -7\/3 in ascending order.\nAnswer: -7\/3, -1\/4, 4, 18, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 63 = -2. What is the remainder when 5 is divided by 1\/(-6) + y\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388 + -270. Let w = 54 - 42. What is the remainder when p is divided by (-90)\/(-4)*16\/w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 4*k - 4*w, -2*w + 0*w = -8. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 121*t**2 + 115*t**2 - 366*t**2 + 135*t**2 - 23*t**3 - 5*t**4 to the form v*t**3 + q*t**4 + k + g*t**2 + f*t and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 6*o**2 - 4*o - 3. Let r = 2384 + -2373. Let s(w) = 6*w**3 - 17*w**2 + 11*w + 10. Calculate r*n(a) + 4*s(a).\nAnswer: 2*a**3 - 2*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 243*n + 243*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o. Let f be d(-1). Let u be 56\/(-189)*(-6)\/f. Which is the second biggest value? (a) u (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11067\/(-62))\/((-7)\/294).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/48)\/(3\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*q - 3 = -33, q = -5. Let v = 158 - 148. What is the lowest common multiple of v and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 19, 10 in ascending order.\nAnswer: -46, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*u + 215 = 0, -4*d + u - 2*u = 175. Let l = -21 - d. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6362341180 divided by -5\nAnswer: 1272468236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 24*s - 5890 = 0. Let f = 190 + s. Solve f = -4*w + 18 - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*b + 920*b + 752*b - 310*b)*(5*b**3 - 3*b**3 + 0*b**3).\nAnswer: 2948*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.56 - 19.56. Sort 2\/19, s, 5, 36.\nAnswer: s, 2\/19, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85115.\nAnswer: 5, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*s - 115*s - 427*s to the form k + p*s and give p.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.6 + 121.6. Which is the second smallest value? (a) -3\/5 (b) o (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1250 (base 9) to base 2\nAnswer: -1110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 866623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(154)\/(sqrt(11) - (sqrt(1100) - sqrt(1100)*2 - sqrt(1100))))\/((sqrt(2304)*-1 + sqrt(16))\/sqrt(8)))**2*4.\nAnswer: 4\/2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16*-12*7\/252. Let c(n) be the first derivative of 0*n + 0*n**2 + 21\/4*n**4 + w*n**3 - 11. Find the third derivative of c(s) wrt s.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1594239 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78679 + -53569. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25246 > -27567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 402, 603, 804, 1005, 1206?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 11245.644\nAnswer: -56228.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -1.4 in ascending order.\nAnswer: -5, -1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 33273529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 16*a**2 - 10*a + 4. Let c be g(-10). Let u be 14131\/(-20) - 2\/8. Let f = c + u. Calculate the common denominator of -16\/11 and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y**(-39)*y))\/y)\/y**4)\/(y**3*y**12) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-99)\/(-55))\/(-9))\/(3\/(-730)) - (-10)\/(-15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**2 + 92*n**2 - 31*n**2 - 13*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 141 = 5*x, 5*x - 4*d = -0*x + 123. Let s = 45 - x. Let q = 80 + -26. Calculate the greatest common factor of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -o - 320, 2015*o = 2020*o + 5*z - 375 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n + 14. Let a be f(-2). Solve -5*q = a*r - 21*r, -4*r = 4*q + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 1, k: 3, p: 1, e: 4}. What is prob of picking 1 p, 1 r, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 1 c when three letters picked without replacement from vuuuhccuuvvu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose a = -2*o + 3*o + 8, 2*a - 8 = p*o. Solve 4*b = a + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07266 rounded to three decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 - 3762 = 79*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkllklllll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:08 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240 divided by 279?\nAnswer: 4240\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + -220?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -29*s - s + 0*s**3 + s**3 + 29*s**2 + 8 - 5. Let i be t(-30). Let c(w) = w - 4. Let f be c(i). Round f to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 = -4*z. Suppose -z = -0*x - x. Suppose -i = -4*o - 43, 4*o - 24 = -i + x. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9.2, 1\/4, -7 in increasing order.\nAnswer: -9.2, -7, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 23 = 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 718?\nAnswer: -57\/718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48941, -97892, -146853, -195824?\n\"Answer: -5*g**2 - 48936*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12812681 is divided by 337.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18004525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2444, 2443, 2442, 2441, 2440, 2439?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*u + 4*m = -275*u - 274*u + 76, -u = -2*m + 42 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274925083 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*t - 24 + 24 in the form r + l*t and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.955 + -0.045. Which is greater: j or 185\/19?\nAnswer: 185\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -751.7?\nAnswer: 751.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1087*a**2 + 15*a + 6539. Let w(p) = 363*p**2 - 5*p - 2178. Let i(r) = 6*v(r) + 17*w(r). Differentiate i(u) with respect to u.\nAnswer: -702*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2.19, 0.3, 2, 212 in increasing order.\nAnswer: -5, 0.3, 2, 2.19, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 8 + -8 + 0 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/69)\/(40\/12)*(1025\/75)\/(-41).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 10*w - 25. List the prime factors of o(-7).\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -160816367 and 1756.\nAnswer: -160814611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9117*w. Let k(f) = 190*f**2 + 2. Give i(k(p)).\nAnswer: 1732230*p**2 + 18234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (-4 + 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from bbvvvvbbvvvbbbbb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147\/29 + 1979\/522. Let l be (-9)\/(-11) + (-8)\/(-44). Calculate the common denominator of l + 0 - (-141)\/(-48) and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.375 or -121633?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.0627812\nAnswer: -0.1255624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose a*z - z - 1 = u, -5*u + 15 = 5*z. Suppose 6 = -z*s + 28. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**6\/6 - 2*x**5 + 95*x**4\/12 - 10*x**3 + 5*x - 41. Let y(f) = 0. Calculate f.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 + 70314832*l + 140629648 = 0. What is l?\nAnswer: -17578706, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4)*g*((g*(g\/g**(4\/9))\/g*g)\/g)\/g)\/(g**(1\/3)\/g**(-3\/13)) assuming g is positive.\nAnswer: g**(347\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -30 - 322. Which is greater: -89 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176714938 to the nearest integer?\nAnswer: 13293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-8) + (-85)\/(-10)*-2. Let o(f) = -23*f**2 + 52*f. Let r(p) = -8*p**2 + 17*p. Determine a*r(d) + 6*o(d).\nAnswer: -2*d**2 + 23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(-o + 5*o - 13*o)*(-5 - 3 + 5).\nAnswer: 108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12623535 at most as big as 12623522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -537 times -989.33\nAnswer: 531270.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1187 + 2388. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2027\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 15828, -45, 0.3, 1\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 608423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - -6*(1 + sqrt(162))) + 1*(sqrt(162) + 1*sqrt(162)))*6 + 4*(-1 + sqrt(162) + sqrt(162) - sqrt(162)) + -1*sqrt(162)*-2 + -4)**2.\nAnswer: 30240*sqrt(2) + 583984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/21 or -77134?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 6*c**3 + 0*c**3)*(291 + 10*c - 291)*(3*c + 0*c - 5*c).\nAnswer: -40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.19 + -37. Let m = -0.29 + u. Which is the closest to m? (a) -0.1 (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = -3*z, 2*g + z = -98. Let r be (-12)\/24*(-4 - 0). Is (-3240)\/g + r\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*p - 14*p - 13*p)*(-3 - 9 + 0 - 1) in the form x*p + q and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2487, -1, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.5. Which is the third smallest value? (a) y (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115145420.5 to the nearest ten thousand.\nAnswer: 115150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 18*d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, z: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -3, 3, 836267, 4 in descending order.\nAnswer: 836267, 4, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + -4. Calculate the common denominator of ((-3)\/5)\/(14\/t) and -46\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.1 + 31.1. Let f = a - 46. Let t = f + 19.29. What is t rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2146191229 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2863*r + 19998. Give o(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63852 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12046 divided by -6023?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let l be 19*-3*(-1)\/k. Calculate the greatest common factor of 57 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6720*c**2 - 385*c + 385. Suppose 0*r + 3*n = -r + 370, -2*r = -4*n - 790. Let f(y) = -35*y**2 + 2*y - 2. Determine r*f(h) + 2*q(h).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 - 2*m. Let g be s(3). Suppose n = -g*n. Suppose -a + 9 = 5*q, 5*a - 2*q - 126 = -n*q. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4482 and 75326?\nAnswer: 168805566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45072 minus -4?\nAnswer: 45076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 44.06133 months?\nAnswer: 0.0036717775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**5 + 2022*g**4 + 346719*g**3 + 2026044*g**2 + 3012012*g = 0.\nAnswer: -334, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(4\/12). Suppose 4*q - 3*r - 21 = p*q, -29 = -4*q + r. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 70*s + 36. Let c(r) = -44*r - 19. Let u(m) = -5*c(m) - 3*n(m). Let z(v) = 6*v**2. Calculate z(u(i)).\nAnswer: 600*i**2 - 1560*i + 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5234 + -5234. Solve u = -3*t - h - 17, -5*t - 7*h + 2*h = 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*u**4*v - 22*m*u**3*v - 4*m*u**2*v + 25*m*u*v + 8*m*v - 2*u**4*v wrt u?\nAnswer: -24*m*u*v - 132*m*v - 48*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -1120131?\nAnswer: 1120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6\/5))\/s)**(-46)\/(s**13\/s**(-14)) assuming s is positive.\nAnswer: s**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 = 3*v, 2*b - b - 6 = -2*v. Suppose q + 5*m = 37, 0 = -q - m + 4*m - v. What are the prime factors of q\/(-16) + 94\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 23. Let a be y(14). Let u(f) = -3*f + 5. Let b(q) = -4*q + 7. Determine a*b(m) + 7*u(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29856 or -567254\/19?\nAnswer: -29856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 - p**2 - 4*p + 3. Let l(h) = -h - 15. Let k be l(-12). Let r be (k + 1 + 3)*2. Calculate the remainder when n(r) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5233 - 5232.7. Let c = -389.97 - -392. Let m = 0.03 - c. What is the second biggest value in -0.1, m, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -27. Let h = -25 + 33. Let j = u + h. Which is the third smallest value? (a) 2\/13 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -161, -384, -729, -1214, -1857, -2676, -3689?\nAnswer: -4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8850 + -8826. Solve 47 = -f*d - 73 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**7\/120 + 2*h**4\/3 - 23*h**3\/6 - 20*h. Let d(x) be the second derivative of o(x). Differentiate d(c) with respect to c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5069879 and 0.3.\nAnswer: 0.8069879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 109 = 605 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)\/d*d)**(-2\/13)\/(((d**(-2)\/d)\/d*d)\/(d**(2\/15)\/d)) assuming d is positive.\nAnswer: d**(434\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002018 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814360?\nAnswer: 2, 5, 67, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76349.7 rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (708\/24 - 29)\/(4 + 260\/(-64)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -0.059, -0.06, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/12 + 5*d**3\/4 - 35*d**2\/4 - 575*d\/12 - 38 = 0?\nAnswer: -19, -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (4 + sqrt(468) + 0 + sqrt(468) + sqrt(468) - (-5 + sqrt(468) + 1 - sqrt(468))**2)).\nAnswer: -24 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212758?\nAnswer: 2, 606379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146752121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*t - 27, 0 = -5*w + 2*t + 16 + 8. Suppose 5*j - w = p, -2*j = 5*p + 3*j. Let f = p - -4. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 6*r**2 + 8*r + 10. Let z be k(-7). Suppose 5*h = 5*a + 20, 26*a - 3*h + 12 = 25*a. Suppose a = -z*n - 0 + 237. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9621, -9616, -9607, -9594, -9577?\nAnswer: -9556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28238 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.3, 3, -0.6, 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 9*f + 351. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + 4*o, -4*o + 29 = 3*s + 5. Suppose 0 = -s*v + 336 - 108. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2336)\/11753 + 1\/(-14)*-4. What is the closest to 1\/5 in 0.4, s, -0.2, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4035?\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 10 - 3*q**2 + 2*q**2 + 0*q**2 - 12*q. Let t be l(-6). Solve 2 = -t*h - 0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514103841 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*i - 211*i + 72 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 - -136. Let x = 469\/180 + 22\/9. What is the common denominator of (-411)\/(-6)*2\/d and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c\/(c\/(c\/(c\/(c\/c**9)*c))))**8 assuming c is positive.\nAnswer: c**(-664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18667, -37255, -55841, -74425?\nAnswer: -93007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-5 - 0 - 9) - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715617 (base 8) in base 3?\nAnswer: -221022220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223112 + 1000213?\nAnswer: 1223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2418588 or 2418583?\nAnswer: 2418588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6255201 - 3127603 - 3127597 - 4*h**3.\nAnswer: -4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/114 - -2\/19. Let j be (-2404)\/504 + (-2)\/(-9). Let g = j + 29\/6. Sort g, -0.1, h in descending order.\nAnswer: g, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4 (b) 0.5 (c) 1 (d) 9\/7 (e) 10442\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 15 = 0, 3*u = 3*a + 2*a + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/3))**(-5))**8)**(-4) assuming c is positive.\nAnswer: c**(640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006093500 rounded to the nearest one hundred thousand?\nAnswer: 1006100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 58 - 6*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/12*(-2)\/(-7). Let x = -0.266 - 0.334. Is x less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 6\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*n**3 + 227710*n**2 - 130096*n + 18584.\nAnswer: -2*(n - 2323)*(7*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*o - 3*o + 20*o)*(6*o - 5*o + 6*o) as j*o + q*o**2 + m and give q.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 30345 = 37879. Suppose -15*z = -41*z + s. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15 + (15 - (-8396 - -9))?\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (-171)\/36)\/((-466)\/(-4)). Is 0 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 4210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7898 + -6861. Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 5) to base 3.\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9638149, 9638150, 9638149, 9638146, 9638141, 9638134, 9638125?\nAnswer: 9638114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289 and 229466?\nAnswer: 229466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 139626 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 * 475\nAnswer: 26.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15621, 14023, 12421, 10815, 9205?\nAnswer: 7591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 + 3*h + 2*h**2 + 0 + 2 + h**3 + h**3 in the form s*h**2 + x*h**3 + j*h + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Let r = n + -4. Let y = -0.2 + -0.3. Which is the nearest to 0.1? (a) y (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 13*i - 43*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3222590, 6445161, 9667730, 12890297, 16112862?\nAnswer: 19335425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f*f\/f**1*f)))*f*(f\/(f**27*f))\/f*f)**(-3\/7))**(-10) assuming f is positive.\nAnswer: f**(-780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 19*t**3 + 3*t**2 - 3*t + 4. Let h(x) = 19*x**3 + 4*x**2 - 4*x + 5. What is 4*g(q) - 3*h(q)?\nAnswer: 19*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 860527.5 decades?\nAnswer: 8605275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 456. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s - 65. Let r be u(-18). Calculate the highest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434168788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l. Let y(i) = i**3 - i**2 + i + 3. Calculate y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 558 = 5*u - 3*h, 564 = 3*u - 5*h. Suppose -2*z = -5*j - 69, u = 5*z + 2*j + 25. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163381, -24, 2 in decreasing order.\nAnswer: 2, -24, -163381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 66\/(1 - -10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -51*g - 31. Let z(m) = -77*m - 49. Give -8*y(p) + 5*z(p).\nAnswer: 23*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13849 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - w**5 - 3*w**3 + 189*w**5 + 83*w**5 - 81*w**5 + (2*w**2 - 4*w**2 + 4*w**2)*(2*w**3 + 2*w - 2*w).\nAnswer: 194*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18160.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -594 - 67?\nAnswer: -60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 799, -3, -26, -4 in descending order.\nAnswer: 799, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 497277 >= 497276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 40\/(-6))*(355 + -1). Let c = -231 + n. Solve o - c*h = -27, -2*o - 29 = -8*h + 3*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878*p - 851*p - 229122 = 0. What are the prime factors of p?\nAnswer: 2, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -19 + -1 + -2 + 25 + 0 + 82.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -125*j**3\/3 - 238*j + 50. Find the first derivative of x(w) wrt w.\nAnswer: -250*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfmoppxxxpppxomx. Give prob of sequence pppp.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 444, 439, 434?\n\"Answer: -5*c + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288205288 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 2*z**2 - 2*z**2 - 7*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -253084344 divided by 2\nAnswer: -126542172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407 + 399. Put -4, -2, t in increasing order.\nAnswer: t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 8 - 38, 0 = -8*a + 3*m + 78. Suppose 225 = 2*s + 9. Calculate the greatest common divisor of a and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -1\/2 (b) -1\/11 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23405744?\nAnswer: 2, 31, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 (base 7) in base 3?\nAnswer: -122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtfffgfvttgfffvftgv. Give prob of picking 1 f, 2 v, and 1 t.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azjj when four letters picked without replacement from jzajazjjajaazjajjjzj.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25\/13 + 2251\/312. What is the common denominator of (-30)\/(-28) - 0\/(-2) and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7985 - 2896. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2948 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + 3 + 5*(-2 + sqrt(1539))*-5 + 1)*-1)**2.\nAnswer: -79650*sqrt(19) + 2896068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8640 + 8640.00004252. What is p rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 665*i**2. Let p(o) = 3*o**2. Determine p(c(f)).\nAnswer: 1326675*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 + 18\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 66. Suppose p = -3*i - 3*g + 717, -2*g + 426 + 536 = 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let g(m) = -16*m + 310770. What is g(w(x))?\nAnswer: 32*x + 310770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 11:49 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14*v - 5. Let n(p) = -21*p + 8. Give -8*i(r) - 5*n(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 230, 382, 622, 938, 1318, 1750?\n\"Answer: -2*m**3 + 56*m**2 - 2*m + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409577 divided by -1?\nAnswer: 1409577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27888204 by -9296068.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7846 + 6969.4. Round o to the nearest ten.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 26 = -13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose -2*n - n + 18 = i. Put 4, 1, n in decreasing order.\nAnswer: n, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1801 - -3362. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. Suppose -9 = -c*y - y. Solve 2*t - 5*t = -y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let q(n) = 6*n + 1. Let k(f) = -q(f) + 4*y(f). Let w(p) = p - 2. Let g = -9 - -6. Calculate g*k(c) - 4*w(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 8229?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 24*r**2 - 24*r + 27. Let w be g(22). Suppose -2*n = w - 1185. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 101. Suppose -x*l + 9*l = 60. Suppose 5*y - 21 = -b, -y + 0*b - l = 5*b. Solve -y*o = -3*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21539123?\nAnswer: 1009, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, m: 1, x: 1, e: 1}. Give prob of sequence mx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 44*o + 1 + 4*o)*(-1 + o + 1) as x + h*o + b*o**2 and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-55)\/(-22))\/(-2*1\/(-4)). Suppose v + 5 = 2*s - 0*v, -j*s - v + 16 = 0. Solve 6 = 3*k - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -3*w - 27, -4*c = -w - 16. Suppose 5 = -5*a + 2*q, -4*a + 2*q = q + 1. Solve c = d + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-3)\/(-8))\/3). Suppose -3*r - 220 = j*r. What is the units digit of (68\/r - 1)\/((-2)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(143) + sqrt(143))*2)\/(sqrt(11)*-5*-5))**2.\nAnswer: 208\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:47 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 4*g**2 + 678 + 2*g - 672.\nAnswer: 4*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1701 and -0.14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2. Let t be (-34)\/(-10) + 4*(-3)\/30. Let b(m) be the first derivative of -t + 0*m**2 + 0*m - 2\/3*m**3. Calculate b(j(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpvpvpvpvvppvpv. What is prob of picking 1 v and 1 p?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 46 = -29*y + 32*y, -5*y = 2*w - 78. What is the remainder when w is divided by -2 + 1 - (-9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/15)\/(4\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -u + 14. Let t = u + -25. Let r(x) = x**3 - 11*x**2 + 6*x - 12. Let s be r(t). Calculate the greatest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - 1 - 2 + 4)*(2 + 4 - 4)*(1 + 3 - 2)*(2*k + 0 + 0) to v*k**3 + r*k**2 + a*k + g and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 63 = -3*q, -3*q - 2*a + 63 = a. What is the common denominator of 48\/5 and (q\/28)\/(15\/214)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61862*v**6 - 178*v**3 + 32612*v**2 - 505 wrt v.\nAnswer: -7423440*v**3 - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*j + 181*j - 4*j - 51*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -370384\nAnswer: -370384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 14*v - 47, 3*t = -4*v + 18. Let f(j) = 20*j + 2. Give f(t).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjpw when four letters picked without replacement from wwwwwwwpwwpjjw?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0 (b) -1\/7 (c) 0.4 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 8) in base 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from {p: 7, q: 2, n: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11009 = -3*g - 11024, j = -4*g - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125375100 and 30090024.\nAnswer: 752250600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.4 (c) -8 (d) -2\/13 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110176?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4714545 centimeters in nanometers?\nAnswer: 4714545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6)\/((-4)\/(-1956)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -588, -882, -1176, -1470, -1764?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 22*l**2 - 20*l + 16. Determine j(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61758, -61784, -61810, -61836, -61862, -61888?\n\"Answer: -26*a - 61732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -954*y**3 - 928*y**3 + 3984*y**3 - 1000*y**3 - 728*y**3.\nAnswer: 374*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -116. Let d = -492.03 - -492. What is the fourth biggest value in -4, -2, h, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + b**3 + 0*b**3)*((3 + 0 - 2)*(0*b + 2*b + b) - 1 + 3*b + 7*b + 5*b + (-4*b + 4*b - b)*(1 - 1 + 1) - 1 + 1 + 2*b).\nAnswer: -38*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 5*k + 2. Calculate the remainder when ((-2)\/(-3))\/(3\/9) is divided by r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(c**2 + 1 + 1 + 1).\nAnswer: -3*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*p + 4*p**2 + 38*p**2 + 76*p)*(3 - 2 + 1 + (1 - 1 + 2)*(-3 - 4 + 5) + (0 - 1 - 1)*(26 - 4 - 5)) to the form l*p + z*p**2 + u and give z.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265327347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*((-360)\/522)\/4\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-10)\/68*12\/15). Let u(y) = y**3 + 17*y**2 + 10. Let g be u(z). Solve 3*v + b + g = 5*b, 0 = 5*v - b + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -b, -5*b - 17 = 3*u + 3. Let g be 1\/b*(-3 + 2). Let h be g + 12 + (-6)\/(-3). Solve 2*o + 19 = -3*j, -4*j - h = o + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -7*z - 3*z. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/7 + 3005*r**2\/7 + 859*r + 3007\/7 = 0.\nAnswer: -1, 3007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2181*a + 723*a + 30794*a**2 + 726*a - 30798*a**2 + 732*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 733 + 5205?\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(12\/11)\/(t\/(((t\/(t**(-1\/6)\/t*t))\/t)\/t))*(t**3*t)**36 assuming t is positive.\nAnswer: t**(9455\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20708 and 51770.\nAnswer: 103540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -46547 divided by 60?\nAnswer: -46547\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:56 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26394, 52806, 79218, 105630, 132042?\n\"Answer: 26412*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 4, i: 9, q: 2}. Give prob of sequence iiia.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 89419431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 24*p + 6. Let q be n(-8). Suppose -q + 16 = 5*z. Suppose 35 = 3*l + o + o, -l + 9 = -z*o. Calculate the greatest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2)*(0 + 0 - 1) - 1 + 1 - 3 + 80 + 13 + 84)*(-2*h + h - 6*h) as o + d*h and give d.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 4\/(16\/(-92)). Suppose 0 = -5*z - 47 - 28. Let v = w + z. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*l + 258 - 86 - 197, -l + 3*j = l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*o - 20, 0*i = i + 4*o - 2. Let t be (1*-1 + -102)*-28. Let z be t\/i + (-12)\/(-18). Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33955111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (34086\/(-37050)*6\/(-46))\/(-1)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33086778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440.9 + -441. Which is greater: -89 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2*z**3 + s**2*z**2 - 23*s**2*z + 7*s**2 + 8*s*z**2 + 9119*z**4 wrt z?\nAnswer: -12*s**2 + 218856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 times -18455?\nAnswer: -885.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -88, -196, -356, -574, -856?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31709.42ml to litres.\nAnswer: 31.70942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 43*q**2 + 90*q + 2. Let y be l(45). Solve -4*z - y = 5*j + 8, -j + 5*z = -27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*u**2 + 21*u**2 - 31*u**2)*(-6 - 23*u**2 + 48*u**2 - 20*u**2).\nAnswer: -520*u**4 + 624*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2 - sqrt(130))*-3)\/(-4*sqrt(30)\/sqrt(3)).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25030 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-7)*h*h*h**(1\/2)\/h*h)**(-36))**(-36) assuming h is positive.\nAnswer: h**14904","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lljf when four letters picked without replacement from {l: 4, j: 1, f: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1200 - -1742. Let y = t - 393. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dc645b (base 15) to base 2\nAnswer: -101000000011101000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 5332?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, -0.02858, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*102\/(-660) - (-2)\/5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -112, 5, -0.5, 25.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 7. Let s = c + -11. Is 14 a factor of (-8)\/s + (-1 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjjg when four letters picked without replacement from {j: 3, i: 1, r: 1, g: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2660 - 2659. Let m(q) = 32*q. Give m(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**2 - 2*j**2)*(-2*j**3 + 3*j - 3*j) + (2*j**2 - 2*j + 2*j)*(5*j**3 - 5*j**3 - j**3).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffiiizifz. Give prob of sequence zzff.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4272512\/5649 + -5\/1883. Is -757 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 3. Let j be f(4). Let n be 50 - ((-2 - j) + 2). Suppose 4*i = 31 + n. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2013470244 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9575\/(-355) + -2 + (-154)\/5467?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1733555*28\nAnswer: 48539540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1069, 4387, 9973, 17845, 28021, 40519, 55357?\n\"Answer: 3*b**3 + 1116*b**2 - 51*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50850 and 290?\nAnswer: 1474650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, 2 in ascending order.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*h = -199*h + 612 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/20 + 203*s**4\/8 + 398*s**3 + 7*s**2 + 9*s - 23. Solve t(f) = 0 for f.\nAnswer: -199, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from iwwwwiw?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/3 - -22)*1. Let h = t + -23. Solve 5*o = -h*i - 9, -o + 2*i = i - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548209*b**2 + 3 - 4644636*b**2 - 3 + 1548214*b**2 + 1548221*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/236664 and -32\/562077.\nAnswer: 4496616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b + 404. What is y(32)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, n: 1, b: 4, i: 3}. Give prob of sequence bi.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 + 8*j**2 + 8*j - 3. Let p(m) = -2*m**3 - 3*m**2 - 3*m + 1. Let z(n) = 8*p(n) + 3*s(n). Let b(w) = -4*w**3 + 4*w**2. Calculate b(c) - 2*z(c).\nAnswer: -2*c**3 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 144.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -86, -32, 76, 256, 526, 904, 1408?\n\"Answer: 3*g**3 - 3*g - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36 - 0)*((-1)\/1)\/4. Let h(c) = c - 12. What is h(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 529 + -532. Sort -21, 1, x in descending order.\nAnswer: 1, x, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 1228*w - 66843. What is x(52)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.1945 weeks in hours?\nAnswer: 90080.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4472*i**3*q**3 + 4*i**2*q**2 - 4*i**2*q - 2*i**2 + 6*i*q**3 wrt i.\nAnswer: -26832*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (-16)\/(-30). Let s = -331\/24 - -41\/3. Let j = -1 - -2. Which is the biggest value? (a) s (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Let c(t) = t**3 + 3*t**2 + 4*t - 7. Let f(h) = 2*h**3 + 2*h**2 + 5*h - 8. Let r(i) = l*c(i) + 2*f(i). Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611430 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12373)\/(-5) - (-16)\/40. Suppose c = 5*x - 0*x. Let u = x + -332. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 47 + 2*q + 7*q - 6*q + 8*q**2 - 66 to n*q + u*q**2 + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 30. Let j = -19 + 23. Suppose -5*p - 2*k = -35, j*p = -0*k + 2*k + 28. Let c be d(p). Is c >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3333 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2, -3*d = -0*d - 3*o + 27. What is the remainder when d\/((-11)\/(-6) + -2) is divided by ((-4)\/3)\/(4\/(-66))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1329*q**5\/20 - 550*q**2 + 22*q. What is the first derivative of x(h) wrt h?\nAnswer: 3987*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -28. Suppose 4*q = 4*i - 2*i - m, 8 = 2*i - 2*q. Let l(f) = 159*f**2 - f - 3. Is l(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + (134 - (206 - 95)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*f**2 + 23*f**3 + 87*f**2 + (-4*f**3 - 2*f**3 + 3*f**3)*(66 - 246 + 80) as g*f**3 + n + d*f**2 + q*f and give g.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 - j**2 + j**2)*(-1 - j**2 + j**2 + 2*j**2).\nAnswer: -10*j**4 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k + 110*k = 3*z + 221*k - 15, 36 = -4*z - 8*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**(2\/87)\/l)\/l)*l\/l**(-18) assuming l is positive.\nAnswer: l**(1912\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115132497 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(44)\/sqrt(4)))\/(sqrt(242) + sqrt(242)*-3).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.794745l to millilitres.\nAnswer: 8794.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-5 + 5 + 0). Solve -3*d - v + x*v - 18 = 0, -5*v - 40 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13)\/(s*((s*s*s**(-3\/5))\/s)\/s))\/(s\/(s**1*s*s)*s*s)**(7\/2))**(-29) assuming s is positive.\nAnswer: s**(464\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.24 (c) -3\/5 (d) 0.5 (e) 0.0767 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/145 - -737\/580. Which is the third smallest value? (a) 8 (b) q (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1027, -2076, -3161, -4300, -5511, -6812, -8221, -9756?\nAnswer: -11435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 15*h**2 + 16*h + 9. Give g(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*6\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -490743177.6 to the nearest ten thousand.\nAnswer: -490740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + h. Let a be j(1). Suppose -2*x - 4 + 8 = 0. Let m be x\/21 - 733\/(-21). What is the greatest common factor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*w - 12*w - 7821 = -151*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357, 2899, 9791, 23205, 45313, 78287, 124299?\nAnswer: 185521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(700)*-2).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -163, -275, -387?\n\"Answer: -112*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1) + 14*9. Suppose -3 + 0 = -2*l + c, 4*c - 4 = 4*l. Suppose 5*x = -2*o + j - 32, 0 = -5*x - l*o + 105. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/144 - 634\/(-18). Let l = -3.89 + 5.89. What is the third biggest value in l, 3, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h + 2. Suppose 0 = 2*j + 2*j. Let u(g) = g + 5. Let y be u(j). Determine q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2825 + 550. Let d = 3445 + z. List the prime factors of d.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733*z - 174*z - 514*z.\nAnswer: -1421*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 19*t + 75 = 0. Let p(y) = -y**3 + y + 6. Let x be p(0). Factor t*k**3 + x*k**4 - 2 - k - 2*k**3 - k**4 + 9*k**2.\nAnswer: (k + 1)**3*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137013?\nAnswer: 3, 109, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26195816681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111000111010011 (base 2) to base 11.\nAnswer: -121a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5019b6 (base 16) in base 11?\nAnswer: -2a65aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/(-495))\/(4\/(-396)*2) + -46.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 2013.\nAnswer: -67\/2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - 4*6*sqrt(228)) + (3*sqrt(228)*-6 - sqrt(228)))\/((6*(sqrt(12) + 2*sqrt(12) - sqrt(12)) - sqrt(12)) + sqrt(972)*1 + sqrt(12)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/60 + p**3 - 96*p**2. Let h(u) = u**2 - 1. What is -6*h(f) - n(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + 12*r**2 - 26*r + 53. What is b(4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30891337 and 2701.\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:52 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (sqrt(245)*4 + -1)*6)**2 + -4.\nAnswer: -4368*sqrt(5) + 141285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(363) + -3)**2*4 - (0 + sqrt(363)*-5)*1.\nAnswer: -209*sqrt(3) + 1484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15*g = -18*g - 9079, 0 = 3*k - g - 27229. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 397285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 9*d + 10. Calculate the highest common factor of d and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 2*x + 2. Let r(s) = 10*s**3 - 11*s - 11. Let m = 5 + -16. Let b(n) = m*v(n) - 2*r(n). Factor b(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150.91 - 158.91. Which is the closest to -0.1? (a) 59 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1014 and 219.\nAnswer: 74022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 + 0 - 4 - 5*i**2 - 3*i + 2*i**3 - 8*i**3. Calculate m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 2*u - 1. Suppose -4*x - 2 - 2 = 0. Let t be p(x). Factor t + 2\/5*i**4 - 2\/5*i**2 + 0*i - 2\/5*i**5 + 2\/5*i**3.\nAnswer: -2*i**2*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/10)\/(s*s**(1\/6)))\/(s**(-1\/2)\/s)**(-49) assuming s is positive.\nAnswer: s**(-2231\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 5)*2*1. Let k = 52 + -55. Let i be 4 - k\/((-9)\/(-240)). What is the highest common divisor of l and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/44 + 8\/33. Let v(l) be the second derivative of 7*l + w*l**4 - 1\/5*l**5 + 2\/3*l**3 - 1\/2*l**2 + 0. Determine t, given that v(t) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109053*j**3*o*x - j**3*x**2 + 2*j**2*o*x + 3768*j**2*o + 3*o*x**2 wrt j.\nAnswer: 654318*o*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - (-13)\/2. Let z be (-9)\/(-6)*1\/l. Which is the nearest to z? (a) 1\/4 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -179?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 311855017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 604470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 510 = 498 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -359, 1 in decreasing order.\nAnswer: 3, 1, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -167*h**2 + 6*h - 41. Let w(f) = 40 - 132*f**2 + 132*f**2 + 166*f**2 - 7*f. Let j(t) = -7*b(t) - 6*w(t). What is the first derivative of j(d) wrt d?\nAnswer: 346*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -m + 2865, -2*m = 2*m + 4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 12*t + 18. Let h = 68 - 81. Let p be g(h). Which is the third biggest value? (a) -0.2 (b) p (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*f + 173 - 233 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15963*k**3*u**3 - 112*k**3*u**2 + 19*k**2*u**3 - 344165*u**3 wrt k?\nAnswer: -95778*u**3 - 672*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782445438 to the power of 1\/2, to the nearest integer?\nAnswer: 52749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43018\/9 - -211393\/36. Let d = z + -1115. What is the common denominator of -29\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -34*c**2 - 991*c + 868. Give w(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (8\/16)\/((-2)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173186 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 24 - 54 + 16)*(-2*f**3 + 2*f**3 - 6*f**4) to o*f**2 + a*f + i*f**3 + z*f**4 + k and give z.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 328137?\nAnswer: -19\/328137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -34\/7 (b) -39\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (12622\/(-3906) - -3). Let f = i + 2\/217. Let r = 37.9 - 38. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 10. Let s be n(-6). Suppose 12*a - 27 = 9. Is a at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-126) + (-3120)\/280?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1586\/231 + 42\/11. What is the common denominator of q and 89\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-10440)\/640)\/(-87)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138, 293, 468, 663, 878, 1113, 1368?\n\"Answer: 10*q**2 + 125*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 - 3842*g = 0.\nAnswer: 0, 1921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0758431kg in nanograms?\nAnswer: 75843100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -23258532\nAnswer: 4651706.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.22. Let h = j - -0.02. Which is bigger: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/((-53)\/159)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11\/11*(-2)\/5*-30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 247121\nAnswer: 9\/247121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/64 and -1\/6392?\nAnswer: 51136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10165144, 10165145, 10165148, 10165153?\n\"Answer: x**2 - 2*x + 10165145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(2\/3)*j*j))\/j)\/j)\/j**(-12) assuming j is positive.\nAnswer: j**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, 0.4, -0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*s = -35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -50710 and -686.08649.\nAnswer: -51396.08649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 smaller than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 13*d - d**2 - 4*d**2 + d**2 + 10*d.\nAnswer: -4*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/11 - 788*v**2\/11 - 40574*v\/11 + 3760 = 0.\nAnswer: -47, 1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1368\/8*(2\/3 + -4). Find the common denominator of -63\/44 and (-100)\/(-64)*w\/(-75).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 5*s**3 - 4*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25*x**2 + 37*x - 37*x - 35*x**2. Let n(b) = -37*b. Give n(h(k)).\nAnswer: 370*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 12, 0, 5, 640, 1 in decreasing order.\nAnswer: 640, 28, 12, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 s when four letters picked without replacement from snnss?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 12. Let m be r(-7). Let s = -315 - -311. What are the prime factors of 26\/s*(-30)\/m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and -29\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 13*k**4\/12 - k. Let m(q) = 4*q. Give w(m(f)).\nAnswer: 208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36732.283 rounded to the nearest integer?\nAnswer: 36732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 312971521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -346*j**5 + 619*j - 619*j + j**5 + 0*j**5 - 3*j**5 + (-3*j**4 - j**4 + 2*j**4)*(3*j - j - j).\nAnswer: -350*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 7*m - 12. List the prime factors of x(6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489764600 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.78 take away -25.895?\nAnswer: 19.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(((-10)\/(-5))\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 12*p**2 - 9*p + 2. Let f be a(8). Let r(h) = 376 - 188 - f - 3*h. Calculate r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3797564 times -1\nAnswer: 0.3797564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141312 and 1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/174 and -13\/54.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-11443.\nAnswer: -34329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*m - 5, 2*l = 36*m - 39*m + 3. Suppose -2*o + 6 = -o. Solve l*b + 3*i = -o, -b - 6 = 2*i + 3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 314\/8 + -1 + 1\/(-4)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -20. Suppose -6*n + 4 = -2*n. What is the remainder when u is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(28\/6 - 4) + 4. Let x be (-654)\/(-3) - (1 - 3). Suppose -7*i = -y*i - x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20885 + 241*z**2 + 20883 + 1162*z**2 + (2*z**2 + 0*z**2 - 4*z**2)*(3 - 4 + 0) as t + a*z + c*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33060 = 285*b + 95*b. Calculate the least common multiple of b and 29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*n**2 + 2*n - 2*n to the form z*n + h*n**2 + u and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -322*l + 326*l. Solve -138*w + 145*w - 28 = l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*g + 13 = -7*g, 4*g + 5 = -j. Solve 4*n = j*f + 29, 5*f + 0 - 5 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-2)\/(-3))*-1. Suppose 0 = 4*l - 5 - u. Suppose -4*x + 2 = -3*b, -2*x + 0*x = -4*b + 4. Is l greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-44) - 24\/(-66)) + (-19 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6126*j - 87. Is v(-3) a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7364273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 533*x**3 + 74 wrt x?\nAnswer: 1599*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 654252315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21))\/(60\/(-105))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**5 - 129*t**4 - 204*t**3 - 60*t**2 = 0. What is t?\nAnswer: -1, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 21*u**3 + u - 2. Let j be g(2). Let a = -116 + j. Let m(z) = -3438*z + 34399. Calculate the remainder when a is divided by m(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4 - 0) + -1. Suppose -26*x + 124 = -6. What is the closest to -2\/5 in x, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**3 + t**3 + 2*t**3 + (t + 4*t - 6*t)*(t**2 - t**2 + t**2) - t**3 + 0*t + 0*t + 1 - 2*t**3 - 1.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 6*y)*(-y**2 + y**2 + y**2) - y + y - 2*y**3 + (17*y**2 - 9 + 9)*(2*y + 0*y + 0*y).\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4040*(-6 - -4288). Let b = 2\/101 - p. Calculate the common denominator of 49\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 9*z + 5. Let u be l(-9). Find the third derivative of 23*o**2 + 12*o**4 - 53*o**2 - o**2 - 3*o**u wrt o.\nAnswer: -180*o**2 + 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - n - 2*n + 3 - n - 3 + (1 - 5 + 2)*(3 - 3 + 2*n) + n - 2*n + 2*n + (-2*n + 2*n + 6*n)*(-231 + 247 - 160) to the form z*n + w and give z.\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 at least 1.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 25733479902?\nAnswer: -25733479904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - 2*k)*(-k**2 - k**3 + k**2 + 3*k**4) + (-2*k + 2*k - 3*k)*(-k**2 + 2*k**4 + k**2).\nAnswer: -15*k**5 + 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + 2*39\/30. Is (-11)\/(77\/(-2226))*a\/4 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1088821\/56 - -19444. What is the common denominator of 1\/(-4) + 74\/56 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, i: 5, a: 1, b: 4}. What is prob of picking 1 b and 1 i?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(96) - (sqrt(96) - (sqrt(96) + sqrt(96)*-2))) - (sqrt(3) - (sqrt(48) + 1)**2 - ((sqrt(3) + -2*sqrt(3))**2 + 2)).\nAnswer: 27*sqrt(3)\/4 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3290 by 470.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 10440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuw. Give prob of sequence uw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 12*j**2 + 17*j + 4. Calculate u(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b - 60 = 0. Let m = 119\/6 + b. Is 17\/4 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2058 and -2080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5411732361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w + 117*w = 64*w. Let u be 2\/(-7) + 88\/14. Solve w*b = u*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4536 divided by -42.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 128*k**2 - 1881*k - 674. What is a(111)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let q(g) be the third derivative of g**5\/20 + 3*g**4\/4 + 4*g**2. Calculate r(q(s)).\nAnswer: -9*s**4 - 108*s**3 - 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14138*n + 248 + 28275*n - 14138*n as z*n + s and give s.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*t*t**(5\/2))**(-6\/7) assuming t is positive.\nAnswer: t**(-261\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36647495 - -18\nAnswer: -36647477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-210)*77\/759)\/(12\/10).\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 12. Let u be h(-5). Suppose 0*w - u*v + 29 = 5*w, -3*v = 4*w - 25. Suppose w*j = -3*c - c + 148, 2*c - 73 = -j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s - 108. Let z = s - -81. Suppose i + 4*i - z = 0. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(72) - (sqrt(72) + -1)) + -1)*-4)**2 - ((sqrt(1152) + -1*(0 + sqrt(1152)))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**2 + 94*t**2 - 72*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -104, -90, -76, -62, -48, -34?\n\"Answer: 14*c - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**5\/60 - 4*c**3\/3 + 2. Let j(p) be the third derivative of n(p). Let v(a) = -7 + 3 - a + 4. Give j(v(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*39\/1690)\/(9\/(-15))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-50) - ((-428)\/(-10) + -2). Let r = 89 + d. Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + u - 49 = 11*r + 53*r - 63*r, -4*u + 80 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 24*s**3 - 12*s**3.\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)*((c*c**2*c)\/c)\/c*c**(-5\/3)\/c**5)**(-9) assuming c is positive.\nAnswer: c**(330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3985925 is divided by 384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/260 + 2\/65. Let o = -103 - -26. Let i = 77 + o. Which is the third biggest value? (a) -0.2 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36))\/((-1)\/9)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 - 2832874845.\nAnswer: -2832875029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10256, -2639 in descending order.\nAnswer: 10256, 4, -2639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*w + 19 = -7*m, -3*m - 3*w - 15 = 0. Let a be 1\/m + 1100\/120. Is a greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 47651*b**3 - 3*b**2 - 14*b + 13. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 3*h**2 - 2449*h + 365*h + 372*h + 366*h + 1346*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 2842?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203057676 to the nearest integer?\nAnswer: 14250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, h: 2, d: 9}. Give prob of sequence ydh.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. What is the second derivative of 16*x**4 + 3*x**o + 113*x - 99*x + 4*x**4 wrt x?\nAnswer: 276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -511.9 - -512.3. What is the smallest value in -2, 3, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -42, -65, -92?\n\"Answer: -2*d**2 - 13*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1160*p. Let t(c) = 9*c. Give t(x(n)).\nAnswer: 10440*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 11, w: 8}. What is prob of picking 4 o?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 60 = -7*b. Solve -y = 3*y - b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 12*g + 20. Calculate the remainder when 149 is divided by t(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108\/5 + 0*b**2 - 2\/5*b**3 + 54\/5*b.\nAnswer: -2*(b - 6)*(b + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) 8 (c) -51 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095820880 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -63230225245 - 0.1\nAnswer: -63230225245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3861 (b) 0 (c) 20\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, m: 2, f: 1}. What is prob of picking 1 m and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b + 163. Let f be o(-10). What is the third smallest value in f, 0.1, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 605 + -603. Solve 0 = v - w - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 0*r**2 - r**2 + (4 - 6 + 1)*(8*r**2 - 7*r**2 + 6*r**2) + (4*r + r - 4*r)*(3*r - 3*r - r) in the form b*r + i + m*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*n, 6*n - 4*n = 2*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-2)\/(-2)))\/((-1)\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0. Let x = -1 - -11. Let n be x\/(-60)*(-8)\/(-6). Put n, 0, i in decreasing order.\nAnswer: i, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6602 - -9346. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.3 - -22.8. Let o = 0.01 - 0.41. Sort s, o, -4\/7.\nAnswer: -4\/7, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = z + 2*o - 121, -472 = -4*z - 5*o. Let d = z + -62. Let t = -2 + d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 43 - 17 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 9108984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1)*13\/(-26). Suppose 0 = 5*q + 4*b - m - 5, 5*b - 26 = 3*q. Let x(r) be the second derivative of r**5\/20 + r**3\/3 + 3*r**2\/2 - 2*r. What is x(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/19 + -47\/76. Let b be 13\/(-18) - (-2)\/4. What is the nearest to 1 in 1, z, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*x + 5*m, -4*x = -9*x + 2*m - 82. What is the common denominator of (-24)\/(-5)*(-8)\/x and -81\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -161*b - 299 - 301 = -201*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -29) + 10 + -12 - (51 - 87 - -41).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4 + (-29509434)\/(-108) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*x = 3 + 3, -3 = j - 3*x. Suppose -5*m + 320 = -3*t, 4*t = 11 + j. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -420\/17 (c) 4\/15 (d) 5 (e) -0.4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188686278 plus -0.061?\nAnswer: 188686277.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.12, -760.54, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 32621 and 32624 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*o**2 - 16*o**2 - 10*o**2 + 5*o**3 + 3*o in the form w + n*o + k*o**3 + r*o**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*a - 552*a = -206*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22202002 + 11?\nAnswer: -22201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 take away -542737?\nAnswer: 541487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5202867.\nAnswer: 3, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 17*i**2 - 78*i - 360. Calculate h(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248490 divided by 36.\nAnswer: 13805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -3, 97, 2\/15, 0.1, -2\/13, -11.9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 227 + 13 = 0. Let s = c - -85. Solve 4*a + 5*n - 41 = 0, -3*n + s = 2*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7764 and 2241208?\nAnswer: 6723624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 1, -0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11*l - 10. Let q(u) = 5*u + 5. Let f be -11 + (-2 - 1) + 1. Let c(g) = f*q(g) - 6*v(g). Determine c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**3 - 7*q**2 + 2*q. Let u = -24272 + 24268. Let h(y) = -19*y**3 + 15*y**2 - 4*y. Determine u*h(x) - 9*v(x).\nAnswer: -5*x**3 + 3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9614 or -9439?\nAnswer: -9439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*-5*(1*((sqrt(7) - (sqrt(63)*-1)**2) + sqrt(7)) - (4 + sqrt(63) + -1)**2).\nAnswer: 80*sqrt(7) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.5. Let h = -534 - -2671\/5. What is the third smallest value in f, -4, 11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f**(-3\/4)*f)\/f))**23)**(-2\/9)\/((f**(2\/9))**24\/(f**(1\/3)*f\/(((f*f*f**(-4\/5))\/f*f)\/f))) assuming f is positive.\nAnswer: f**(-241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -4) + (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 358 - 358. Suppose -3*u + 92 = -5*t - 18, o = -2*t + 4. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943591 is divided by 343.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.321 rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 144953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2764 + 5741 + 20836 = -481*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*u**5 - u**2 - 6.\nAnswer: 19200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*v = -154*v - 15. Let j be 1460 + (1 - 0)*1. Suppose j = v*c + 114. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 8d?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q**2 - 1389951*q - 347487.\nAnswer: -3*(q + 115829)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0 + 2 + 0*w + 4 + w. Suppose 0*o - 4*o = -36. Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 28. What is the remainder when t is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63615 is divided by 2761?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(475) + (-1 + 1*sqrt(475) + sqrt(475))**2 + sqrt(475) + (-2 + sqrt(475)*-2)**2.\nAnswer: 30*sqrt(19) + 3803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 475922544 and 7584.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -46\/5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1923112 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1504, 3102, 4700, 6298, 7896?\n\"Answer: 1598*y - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 15*c**2 + 5*c + 15.\nAnswer: -5*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) + 4526\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 4*o - o. Let y(m) = -m**2 + 7*m - 3. Let x be y(6). Suppose o*w = -x*w + 39. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83 and 0.3.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(17\/4)*(h*h*(h\/(h*h**4*h))\/h)\/((h\/(h\/h**5))\/h))**(-14\/9) assuming h is positive.\nAnswer: h**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 92836744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 - 150.7. Let c = -144.06 - p. What is the third biggest value in -0.1, -2, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1640 - 1636. Let v be (1\/(-3))\/((-1)\/3). Let w be (v - 0)\/((-3)\/(-6)). Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*x**2 + 11779959*x + 11779866 = 0. What is x?\nAnswer: -3926622\/31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -36 - (-8 + -11 - -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 17*g**2 + g + 9. Determine q(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-10))\/((-360)\/400) + (-2323417)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 127 = -3*d, -d + 3*b - 51 = -b. Let u = d - -1332\/31. Suppose 0 = o + 2*m + 4, 24*o - 28*o = -4*m - 8. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(((-3)\/4)\/((-192)\/768)*(-2)\/(-6))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -187537, -187525, -187501, -187459, -187393, -187297, -187165?\n\"Answer: k**3 + 5*k - 187543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v + 6. Let b be m(-9). Let t = -2 - b. Suppose -i + t = 4*h, -4*h - 17 + 85 = 2*i. Calculate the highest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 33*g**2 - 74*g + 571. Let d be p(15). Solve -2*z + 36*z - d = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*k - 16*k - 2*k - 18*k**2 - 59*k**2 to the form r + f*k + a*k**2 and give a.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -12. Let c(k) = -7*k + 6. Let v(l) = l - 1. Let j(p) = t*v(p) - c(p). What is the derivative of j(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2 - (0 - 3)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 0.241?\nAnswer: -0.03374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274772 is divided by 154.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 10 - (-2 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.523718 to three dps.\nAnswer: -3.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:12 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 2\/19, 1, -1.6, -9 in increasing order.\nAnswer: -9, -3, -1.6, -0.1, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-3)\/(-5))\/(9 + (-731)\/85)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2636*s = 2631*s - 5*k + 55, -k = -13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 k when four letters picked without replacement from {k: 3, u: 4, e: 11}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 122779986*i + 122779983.\nAnswer: 3*(i + 1)*(i + 40926661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z - 1. Let h(d) = 6*d**2 - 2*d + 2. What is -h(g) - 2*x(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (323 - 273 - (-6 - (2 - 2)))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1711*p**3 - 855*p**3 - 856*p**3 - 86 - 330*p**4 wrt p.\nAnswer: -1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127656 is divided by 9965?\nAnswer: 8076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*s - 338, 825*z - 828*z + 335 = -2*s. Calculate the remainder when z is divided by 0 + -2 + 31 + -1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3126 - -3?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -127, -321, -601, -967?\nAnswer: -1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 - 155?\nAnswer: -155.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -3893.\nAnswer: -3893.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/4 - 185*j\/2.\nAnswer: 5*j*(j - 74)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92264 is divided by 22780.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/251 (b) 0.3 (c) 0.5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 - l - 2. Let g(h) = h**3 - 24*h**2 - 24*h - 22. Let f be g(25). List the prime factors of v(f).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = 3*z + 5*i, -4*z - 3*i + 4*i - 18 = -9*i + 390 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22057 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9052, -18091, -27116, -36127, -45124, -54107, -63076?\n\"Answer: 7*f**2 - 9060*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 367574?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6375*g + 374 - 12753*g + 6371*g + (0 - 1 - 1)*(-5*g + 2*g + 2*g) to v*g + t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199098, 796346, 1791752, 3185316, 4977038?\nAnswer: 7166918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5)*(-1 - 4). Let m = -0.0978 - -1.0978. Put p, 5, -0.1, m in increasing order.\nAnswer: p, -0.1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 3*w. Let n(b) = 3*b**2 - 2*b. Let q(t) = -2*f(t) - 3*n(t). Let p(r) = r**2. Calculate q(p(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 + -3)) + (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = -36*p + 2756. Solve -18 = 16*v + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*f - 8 = 4*f, 5*i - f = 19. Let k be 2\/i*(-15)\/(-35). Suppose x - 5 = -5*h, -3*x + 4*h - 4 + 19 = 0. What is the nearest to 1 in x, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*z - 4423 + 535. Calculate the remainder when 644 is divided by z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(32)\/sqrt(4)) + sqrt(72)*1)\/(sqrt(44)\/sqrt(176) + sqrt(20)\/(sqrt(5)*-2)) + 5.\nAnswer: -16*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 28. Let c(y) = y**2 - 11*y + 12. Let i be c(12). Let h(p) = p**2 + 1. Let u be h(2). Solve -4*l - i = -4*m, -f*m - 20 = -2*m + u*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 0*y. What is the units digit of 11 - y\/((-4)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58664941 is divided by 262?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -41*o + 38*o. Find the second derivative of -3*w - 28*w**4 + 26*w**4 - 35*w**o wrt w.\nAnswer: -444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182153?\nAnswer: 3, 7, 41, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9596.7265 + 35839.\nAnswer: 45435.7265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*y**2 + y**2 + 2*y**2)*(0*y**2 - y**2 - y**2) + y**4 + 4*y**4 - 7*y**4 to the form c*y + m*y**4 + u + w*y**2 + x*y**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 70 = -4*z + 258, -256 = -3*z - j. Let g = z + -68. What is the greatest common divisor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8))\/((-1)\/10). Suppose -4*l + 12 = 2*z - 3*z, -5*z - w*l + 15 = 0. Suppose 0 = t - z - 10. Calculate the lowest common multiple of t and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let m(f) be the second derivative of f**4\/12 + 5*f**2\/2 + 3*f. Let n(u) be the first derivative of m(u). What is n(y(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1031246741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (375\/6)\/5*20\/100\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/120 and -50\/21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*d + 24 = 0, -5*z = -3*z + 4*d + 8. Let p = z + 13. Suppose -p*y**2 + 2*y**2 + y**3 - 3*y**2 + 7*y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -17.\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a + 8 = 2*h + h + 47*a + 46*a - 16, -7*h - 4*a = -96 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 6*w - 8*w, -5*w + 9 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 64374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z - 2. Let l(f) = -5*f + 1. Let k(c) = -10*l(c) - 6*w(c). Give k(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 288 - 136 = 0. Solve -5*q = m - 10, -c = 2*m + 5*q - 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328677 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/49 - (-348)\/(-7). Let t = c - -54. Let q be (-15)\/(-3) + 2\/(-1). Sort q, 14, t in increasing order.\nAnswer: q, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4347 + 16273 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104551000 + -1?\nAnswer: 104550555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, k: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 33 = -63. What is the third biggest value in t, -18, -0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6974 - -6986.212. Let r = -12 + c. Round r to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*q + 55779 = 56262 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - 5\/3. Let k(u) = -u**3 + 3*u + 1. Let q be k(x). Solve 0 = -2*r - r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqrqqqrqqdqqeqqqqqr. What is prob of sequence kr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3991, 2094, 197, -1700, -3597?\n\"Answer: -1897*c + 5888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2*6 - (sqrt(68) + (2*sqrt(68))**2 + 5) - ((sqrt(68) - (2 + sqrt(68) + -1)) + -1*sqrt(68)*1)**2.\nAnswer: -6*sqrt(17) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -0.11 (b) 0.1 (c) -3 (d) -1494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*q - 190, 140 = 3*o - 3*q + 14. Suppose 0 = o*g - 10*g + 150. Let n be (-1)\/(-1*(-1)\/2). Sort 4, n, g.\nAnswer: g, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -0.1 (c) 4\/11 (d) -1\/90 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-3)\/g)\/g*g\/g**(-3\/4))**(-6\/5)*(g**(3\/4)\/((g\/(g*g\/g**5))\/g))\/(g**(7\/4)\/(g*g**(-1\/2)\/g)) assuming g is positive.\nAnswer: g**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17935.\nAnswer: 5, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 406 + 9. What are the prime factors of b?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/3)\/(42\/56). Solve 11 = 3*k - 2*k + 2*r, p*r + 13 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.444 or -614?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -25*m**5 + 3688*m**3\/3 - 2471. Find the third derivative of h(z) wrt z.\nAnswer: -3000*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 = 1. Suppose 5*x = -2*v - 6, -2*x - 3*x + q*v = -9. What is the units digit of x + 2*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence err when three letters picked without replacement from {e: 2, q: 1, r: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -1. Let t be a\/((-48)\/(-20) - 2). Is t at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 9*u**2 + 10*u + 4. Let y be p(8). Suppose -l - y = -2*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Solve g = a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:21 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 + 1 + 4*x**4 + 4*x**3 + x**4 - 4*x**3 - 4*x**3 + 4*x**3 + 2*x**4 + (-2*x - 2 + 2)*(0*x**3 - 2*x**3 + 0*x**3) + 3*x**4 + x**4 - 2*x**4.\nAnswer: 13*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101793698?\nAnswer: 2, 4967, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10377 + -4033. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + q. Let p be g(1). Suppose 6 = -d + 4*y + 23, 5*d = -3*y + 131. Let b(o) = d + 21 - 2*o - 45. Give b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 12:43 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -854, -1703, -2538, -3353, -4142, -4899, -5618?\n\"Answer: x**3 + x**2 - 859*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2015167 (base 8) to base 7.\nAnswer: 4341201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37292195 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, -5, 1, -619 in increasing order.\nAnswer: -619, -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*k - 1)*(-2*k**2 + 3*k**2 + 0*k**2)*(0 + 2 - 5) - k**3 - 3*k**3 + 5*k**3 - 7*k**3 + 4*k**3 + 15*k**3 as d*k + g*k**2 + a*k**3 + q and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, -0.0072 in decreasing order.\nAnswer: 0.1, -0.0072, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4531\/11 greater than or equal to -412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3\/4, -5, 2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/21*(-366)\/(-4). Find the third derivative of m - 8*m + 7*m + u*m**2 + 52*m**5 wrt m.\nAnswer: 3120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1570924118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1238395755 and 126.\nAnswer: -1238395629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1050671 divided by -5\nAnswer: -1050671\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -1081\/4 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 30*w**2 + 2 - 4 + 4 in the form h + l*w + r*w**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569\/6 - 462\/5. What is the common denominator of t and -149\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82846.156 plus -1061.8?\nAnswer: 81784.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3)\/(1\/(-13)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3857.23, 1\/3, -0.4, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118 - 42*u**2 + 13*u**2 - 1118 - 23*u**2.\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 31 = -3*q. Let o be 10*16*2\/10. Suppose 2*a = -x - 3*x + o, 0 = -a - x + 15. Calculate the remainder when q is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855611638.\nAnswer: 2, 181, 5125999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17972.16 * -4.9.\nAnswer: 88063.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-1)*l))**(5\/7)\/((l*l**(-2\/3)*l)\/l)**(-6\/11))**(-2\/123) assuming l is positive.\nAnswer: l**(-4\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24 - -91) + 3*-1. Let h be 57\/2 + 44\/(-8) + 5. Calculate the highest common divisor of f and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)\/t)**14 assuming t is positive.\nAnswer: t**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 203381.\nAnswer: -64\/203381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15.29. Let j = y + -0.11. Let u = -21.7 - -16.7. Which is the closest to 0.2? (a) j (b) -4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of (56160\/(-182))\/(2\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:04 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 30*j + 33. Let o be p(20). Suppose 217 - o = -4*r. Solve r*x - 6 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 6. Let p be a(8). Suppose -10*g = -p*g - 280. Let t = g + -1. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 14*s**2. Let h be (4 - (-8 + 4)) + -3. Let v(k) = 5*k - 2*k - h*k. Give a(v(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 4 = -10*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16\/15, 1.38, -0.75, -0.5?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/15 + 126\/945\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (22\/(-24) + 2). Let r be 0\/3 + -2 + 1. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 j, and 1 s when four letters picked without replacement from {j: 4, t: 1, f: 5, o: 1, x: 3, s: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 142 (b) -0.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1802414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/((-9)\/243*-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*i**2 - 39*i**2 + 63*i**2 - 99*i**2 + 299*i**2 as k*i + m*i**2 + l and give m.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 146947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + 182. Suppose 503 = 5*z + f, 2*z - 4*f = f + y. Calculate the remainder when z is divided by 2\/(-9) + 1416\/54.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41679 + -41284. Calculate the remainder when 9870 is divided by i.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 206*u**2 - 2500*u + 1741. What is d(-193)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -110 - (-43 - -16)) + 13 + 1 + -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -159424045 divided by 31884809\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 - -229.71. Is 0.1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 706 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465 and 30.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 10*n**2 - 11*n + 3. Let p be u(-11). Let g = 8 - p. Suppose 3*f + 0 = 63. Solve -2*i = -5*r + 1 - 4, g*r - f = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-895)\/4 - 2) + 60\/80. Let t = 226 + v. Let g(o) be the first derivative of 4*o**2 + o - 1. What is g(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2b8?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/3))\/((-7)\/70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 21 = 3*k - 5*t, -k - 4 = 2*t. Suppose -3*y + k = -2*y. Let w(n) be the first derivative of n**4\/2 - n**3 - n**2\/2 + 2*n - 31984. What is w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + p**5 - 2*p**5 - 2 - p**5 + 2 + (4*p**3 - 3*p**3 - 2*p**3)*(0*p**2 + 3*p**2 - p**2) + (-p**3 + 2*p**5 + p**3)*(-2 - 2 + 6).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 40*k - 30. Let c(x) = 13*x - 9. Let m(j) = -10*c(j) + 3*r(j). Let t(i) = -14*i**2 + 3. Calculate m(t(n)).\nAnswer: 140*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262408 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -949*k**3\/3 - 1054*k + 181. Differentiate w(g) with respect to g.\nAnswer: -1898*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19385 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*o + 428*o + 866*o = -71785 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 14, 1\/4, 3, -2.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1567 divided by 3\nAnswer: -1567\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**2. Let y(u) = -u + 2*u + u + 0*u. Give h(y(d)).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + h = -6, 11*t - 14 = 15*t - 3*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9 + 4*k**2 - 33 - 3*k**2 - 2*k. Is 6 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312022 + 221?\nAnswer: -1311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808410*y**3 + 3624042*y**3 - 1815636*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5966888172.\nAnswer: 2, 3, 7, 523, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1102 - -1101. Which is the closest to q? (a) 3 (b) 18 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*f + 4*f. Suppose -5*s - 40 = -2*z - 3*s, -116 = -4*z - f*s. Suppose 0*g - z = -4*g. Solve 4 = -5*l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Let y(b) = -2*b - 5. Let m(u) = 7*f(u) - 4*y(u). Let z(g) = -5*g - 3. Let a(i) = 6*m(i) + z(i). Let l be a(9). Solve l = v + v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, 354, 791, 1224, 1653, 2078?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1)\/2*-2. Suppose t*y = y + 6. Suppose -19 - 119 = -y*x. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 5, u: 3}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3086 + 26214 = 7*l. List the prime factors of 1\/(-3) + l\/21.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*p = 414*p + 4328. What are the prime factors of p?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - u**2 - 2*u - 1. Let i(o) = 21*o**3 - 6*o**2 - 11*o - 5. Suppose 0 = 12*h - 8*h - 8. Calculate h*i(f) - 11*l(f).\nAnswer: -2*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -11. Let w be 65\/25 - (-2)\/x. Suppose -w*u = -97 - 101. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190, 191, 192?\n\"Answer: l + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q + 48 = 57*q. List the prime factors of ((-72)\/(-84))\/q + (-6914)\/(-14).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 69, 73, 77, 81?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 15*a + 35. Let u be y(-10). Let r be (0 + (-3)\/9)*(6 + u). Solve 4*h + 2 = -r*t + 12, -2*h = -5*t + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.5560771.\nAnswer: -0.27803855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*-3*sqrt(55))\/(-4*sqrt(10)\/sqrt(2)).\nAnswer: -2 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.42 - 184.42. Let i = 154947859 - 154948041.999927. Let j = f - i. What is j rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102077 by 1.\nAnswer: -102077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 365*h**4\/24 + 103*h**3\/3 - 312*h**2. Differentiate b(l) with respect to l.\nAnswer: 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3098*t + 96342 = -219774 - 36013 + 20643 for t.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-10))\/k**(-9))\/(((k*k**(-2\/9)*k)\/k*k)\/k**(-2\/7)) assuming k is positive.\nAnswer: k**(1130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)\/(b*b**(-8)))**(-7) assuming b is positive.\nAnswer: b**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 3303.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6 = 18*h - 15*h, -4*q + 24 = 5*h for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100364 + -55365. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 2*f**2 + f + 3. Let b be q(2). Let h(g) = g**3 - 12*g**2 - 12*g. Let u be h(b). What is the greatest common factor of 117 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:01 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/65*(0\/17)\/(-15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccc when four letters picked without replacement from cggcgccggccggcgcb?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.651506um?\nAnswer: 0.000000002651506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 r when four letters picked without replacement from {r: 1, t: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(-1\/59)*i*i**(-2) assuming i is positive.\nAnswer: i**(117\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3294.999997082 + 3295. What is a rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-40))\/(-3 - 76\/(-32))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(192) - ((sqrt(192) + 3)*-4 + sqrt(192) - sqrt(192))) + -1)**2.\nAnswer: 560*sqrt(3) + 4849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10 = 3*r, b = -5*r + 3*r + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089463427.\nAnswer: 13, 191, 438769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 + 2*n + 2. Let j be z(6). What is the common denominator of 47\/16 and j\/49 + 149\/(-154)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -233?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224996, -224966, -224938, -224912, -224888, -224866?\nAnswer: -224846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -362 - -371. Let o(u) = -2*u**2 + 7*u - 4. Let d(y) be the first derivative of -4*y**3\/3 + 15*y**2\/2 - 9*y - 43. What is z*o(l) - 4*d(l)?\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 1 + sqrt(72) + sqrt(72) + 0 + (-6*6*sqrt(72) - sqrt(72)) + 5.\nAnswer: -210*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + sqrt(76) + -1*sqrt(76))*5)\/(sqrt(4) + sqrt(400)*3).\nAnswer: -4*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**3*m**2*n - 4427*c**3*m**2 + 2*c**2*m**2 + 2*c**2*m*n + 91*c*m**2 + c*n - 2*m*n wrt c.\nAnswer: 60*m**2*n - 26562*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -880 + 15?\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(567)*-5 + -2 + (sqrt(7) - sqrt(42)\/(sqrt(6) + sqrt(294))) + 0 + sqrt(28)).\nAnswer: 10 + 1685*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q - 3. Let v be f(2). Let i be 36\/8*(-16)\/(-12). What is the units digit of i\/v - 54\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 112*a - 7. Let x(j) = -117*j + 8. What is 6*t(s) + 5*x(s)?\nAnswer: 87*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 181, -5 in decreasing order.\nAnswer: 181, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*l*p - 301*j*l*y**2 - 32496*j*y**2 + 589*l*p*y**2 + 223*l*p - 13*l*y wrt j.\nAnswer: l*p - 301*l*y**2 - 32496*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -166*l**2 + 7*l - 46. Let g be w(-10). What is the tens digit of (3\/(-2))\/(63\/g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.445 - 0.145. Put -1, 28, k in decreasing order.\nAnswer: 28, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 773025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*c - 901*c + 14*p = 38*p + 114 - 259, 2*p = 5*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 54. Let l(u) = -5*u - 7. Suppose -15 = p + 2*p. Let t be l(p). Calculate the greatest common factor of t and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1386, 1383, 1380, 1377, 1374, 1371?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/2545 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Let r = -10 + o. Let w = 0.5 + -1. Which is the smallest value? (a) w (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4154664*u**2 - 559*u - 1821.\nAnswer: -8309328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24835 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 4 + 1592*o.\nAnswer: 1592*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3281 - 0.0315053.\nAnswer: 3280.9684947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 345 - 53)*(3 - 3 + 1)*(-q - 4*q - q) to the form w + h*q and give h.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 3. Let p = 14 + x. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7702*r + 7719*r - 15392*r + 13*r**3 - 1)*(0*r + r + r) to j*r**3 + d*r**2 + p*r**4 + x + n*r and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and -14230351.\nAnswer: 2276856.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (-367 - -344 - (-33 + -2))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -125 + 225 + 15*j**2 - 128 - j. Let d(h) = -h**2 + 2*h - 1. Let k(r) = -d(r) - z(r). Find the first derivative of k(v) wrt v.\nAnswer: -28*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - (0 - (2 - 1)). Suppose 0 = -5*j + 21 - 1. Solve j*l - a = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 5*c - 11 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*t - 0*t - 4, -5*t - 20 = 0. What is the tens digit of -3 - (m\/66 + 2502\/(-33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119.4 - 102.8. Round d to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 90641 = 55109 + 90078. Does 77 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2183 (base 9) to base 3\nAnswer: 2012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2860 and 832190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 2*f - 21, 5*m - 119 = -4*f. Is m 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 100216570?\nAnswer: 2, 5, 2273, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -144\/906071?\nAnswer: -144\/906071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbmblbmlvlvbmjlbl. What is prob of picking 1 l, 1 b, and 2 m?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 5960 = 2*q, -5*q - 4496 = -3*y. Suppose -y = n - 5*n. Let m = 768 - n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(16\/8)*((-288)\/220)\/9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -101*x**2 - 242*x + 2. Determine v(-1).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -530 - -478. Let r be (6\/4)\/(x\/(-40) + -1). Let c(d) = d**2 - 6*d. Give c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Suppose 3 = 3*g - 2*h, -5*g + 4 = 3*h - 6*h. Let t be (0 - g\/3) + (-6)\/(-9). What is the closest to t in 2, -4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from baajhhhbj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + d + 1)*((-3 - 1 + 2)*(-2*d - 2*d + 2*d) - 8*d - 6*d - 2*d - 6*d + 4*d + 3*d + (-1 + 2*d + 1)*(1 - 1 - 1)).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 27*q**2 + 6*q**2 + 8*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -1406\/9. Suppose 5*b = 9 + 1. Suppose 3*y = f - 2 + 9, 7 = 3*f - b*y. Put x, f, 2 in descending order.\nAnswer: f, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 12930. Let r(f) = f - 1. Give r(t(z)).\nAnswer: -z**2 + 12929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 23*o + 6. Let v(y) = 9*y + 50*y + 8*y + 10 - 21*y + 3. Give -13*t(x) + 6*v(x).\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2. Let x(n) = 3 - 2385*n**2 + 4841*n**2 - 2377*n**2 - 3. Calculate x(k(g)).\nAnswer: 5056*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/11 - 9\/22. Let n(x) = 1. Let d(h) = 6*h**2 + 2. Let k(l) = -d(l) + 3*n(l). Let o be k(1). What is the second smallest value in o, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 1\/2 (c) 16 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 1 + 5. Suppose -4*p + 13 + 1 = -g*n, -n - 12 = -3*p. Is p != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 10, t: 2}. What is prob of picking 2 c?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 2*s + 1. Let m be o(1). What is the remainder when 37 is divided by (2*9)\/(m\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/(-6)*(-3 - -6). Let s = -55 + k. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 670704 - 670710 = 5*q, -u - 11 = 5*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*y**3 - 156954*y**2 + 14791203*y + 8931222 = 0. Calculate y.\nAnswer: -10557, -3\/5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 811695 and 2385.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*t**2 - 3758*t + 3758*t)*(-24*t**2 + 28*t**2 + 8 + 8).\nAnswer: 132*t**4 + 528*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -60*((-8)\/(-48) - (-10)\/(-12)). Let n = 46 - d. Solve -n*c + c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 21*k**2 - 19*k + 25. Let i be g(-20). Solve -5*a - 5*y + 11 = 36, -20 = i*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 434.1515 nanoseconds?\nAnswer: 0.0000004341515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -166, -245, -312, -361?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 6822 + 246822. Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*q + 186. Let d be q\/4*8\/(-3). Suppose 3*c - 61 = 2*s + 1, 2*c = -2*s + d. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 385*u**3 + 6660*u**2 + 640*u - 465920 = 0. What is u?\nAnswer: -7, 16, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012 (base 4) in base 14?\nAnswer: -2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-207)\/(-30) - (-2)\/(-5))*58?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:18 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606953294.\nAnswer: 2, 61, 4975027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkrkkrkhlrkkkkhkrkkk. Give prob of sequence krk.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13243 is divided by 1019.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8252868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.64 + -0.16. Let p = -2.99 - d. Let u = 1.19 + p. Which is the nearest to 0? (a) -3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 95 = -4*c. Put c, -5, 3, -3 in decreasing order.\nAnswer: 3, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5412420 or 15?\nAnswer: 5412420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 314 + (-96)\/21 + (-12)\/(-21). Let j(z) = 3*z**2 + 8*z - 25. Let u be j(9). Let o be -2 + 1 + a\/u. Is o != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*x = -45, 5*w - 20*x + 31*x = 101 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -15\/4*b**4 + 0*b + 14 - b**5 - 25\/2*b**2 + 15*b**3. What is w in u(w) = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.054*-0.08\nAnswer: 0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077638732 rounded to 5 dps?\nAnswer: 0.07764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 6*f)*(5*f - 3*f - f) + (-6 + 1 + 3)*(-3 - 2*f**2 + 3).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 20. Let n(b) = -b**2 - 6*b - 6. Let l be n(-4). Suppose -l*t - 20 = -6*t, 3*c - 4*t = -20. What is the tens digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3080)\/320 + 10 - 153\/24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 3. Let s be 1 + (-5 - -1) + z. Suppose -2*c = t - 11, -s*t + 4*c - c = -42. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942523537 to the power of 1\/3, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 238*w + 22398. Calculate m(-94).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.3, -0.2535, 5?\nAnswer: -0.2535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8084999713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from pptypbyiiibtiaiyai?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + -6 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19683 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.13 + -0.13. What is the nearest to j in 5, 1\/9, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 27869868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 113. Does 9 divide 551\/5 - (s\/20 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -19*n**3 - 4*n. Suppose 4*q - 9 = 3. Let s(j) = 13*j**q + j + 7*j - 5*j. Let b(k) = -5*c(k) - 7*s(k). Find the second derivative of b(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 * -2.76\nAnswer: 328.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36\/373 + -49177\/4476. What is the common denominator of -113\/10 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680\/(-850)*(-1 + 101)*1086\/(-5)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*k**4*m**2 - 2*k**2*m**3 - 4*m**3 - 36*m**2 wrt k?\nAnswer: 196*k**3*m**2 - 4*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-30) - 1\/3. Let l = -9 + 13. What is the second smallest value in 3\/2, l, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + 2 + 4 + -2*sqrt(175)*-4 + 1 + (sqrt(175)*-3 + 4)*5)**2.\nAnswer: -1350*sqrt(7) + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 147344*t**2 - 1353051840*t + 70757676288.\nAnswer: -4*(t - 52)*(t + 18444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 90. Let h = l + 39. Solve 1 = -0*a - 2*a - 3*j, 0 = -4*a - h*j + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -5*c - 4*l, 2*l - 7201 = -7119 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02204 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.00001. What is z rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v - 11. Let z(x) = x**2 - 2*x - 1. Let g be z(3). Let d(q) = 2*q - 5. Let o(l) = g*f(l) - 5*d(l). Differentiate o(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g - 2578 - 6379 = -85*g + 4153 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100 + 11101001100?\nAnswer: 11100202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27298\/1207 + 384\/17. Let s(v) = -14*v - 281. Let i be (-8)\/(-22) - (-4480)\/(-220). Let k be s(i). Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 13734.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2. Let v(i) = 1170*i**2. Determine l(v(u)).\nAnswer: -6844500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -10. Let p = -4.6 - b. Let k = 0.1 + -0.1. What is the closest to -2\/7 in -2\/3, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 291008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.09 (b) 0.3 (c) -1 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25121*b**2 + 50 - 14049*b**2 - 50 - 13652*b**2.\nAnswer: -2580*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*d - 6*d - 5*a, 2*d - 6 = -a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63599879*o + 20091741?\nAnswer: -63599879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 12. Suppose -3*p + 2*n - 6*n + 2 = 0, 0 = -4*p + 3*n + 36. Let a be ((-14)\/p)\/((-11)\/(-33)). What are the prime factors of d(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - h + 2*h**3 - h**3 + 2*h**2 + 2. Suppose -21 = 9*n - 2*n. List the prime factors of t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3\/3 - 8*p**2 - 17*p - 36666. Let d = 0 + -15. Give l(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 25 = 79*h. Solve 5*z = 3*g - 4*g - 1, 2*z + 5*g + h = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 12*x + 9*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 3*k - 405. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 5*r. Solve -2*s - 2*s - 3*h - 2 = r, s + 2*h = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*i + 5, -q + 7 = -3*q - 5*i. Suppose -2*g - 39 = -3*h, 4*h - 2*g - 52 = -5*g. Find the first derivative of -h*a + 13*a - 4*a**4 + q wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398906?\nAnswer: 2, 3, 23, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3\/4, -33\/20, -0.5, 4 in decreasing order.\nAnswer: 4, 0.2, -0.5, -3\/4, -33\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170166168\/35 + 4862579. Let a = i - 3453\/5. Calculate the common denominator of a and (118\/80)\/(1\/4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11755, -24454, -37153, -49852, -62551, -75250?\nAnswer: -87949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8853922km to meters.\nAnswer: 885.3922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37447 times -0.1\nAnswer: 3744.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20968 and 1569979?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/11))**(33\/2) assuming d is positive.\nAnswer: d**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0301 + 0.08. Let t = 0.04990304 - w. Round t to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 + 27*r. Let w be a(-4). Let b be 4\/18 + 100\/(-45). What are the prime factors of ((-168)\/w)\/(-2) - (-3 - b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172958 - 157862 = -444*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 q when four letters picked without replacement from {q: 3, c: 2, a: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246 (base 11) to base 10.\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000072412 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379350?\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 78*n**2 + 92*n - 921. What is the remainder when 349 is divided by w(79)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-9)*(-2 + -1). Let i = -492 - -491.7. Which is the second biggest value? (a) p (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 10:26 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27*r**2 - 2. Let x be a(1). Suppose w = -x + 32. Let 2 + 0*c - 8*c**2 + 0*c + w*c**2 + c = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 81205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66238, -132633, -199028, -265423, -331818?\nAnswer: -398213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**2 - 2 + 1\/4*q**4 - 11*q + 1\/3*q**3. Determine h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -170132, -340238, -510356, -680492, -850652, -1020842, -1191068, -1361336?\n\"Answer: -h**3 - 170099*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343)*-4 + -1 + sqrt(343) + 0 + -1 + -3 + -4 + -1 + sqrt(343))**2.\nAnswer: 336*sqrt(7) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*z = -10, -314*h - 3*z = -311*h - 30 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 484\/(-1320)*-15 - (-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -31 + 0 + 0. Let w = g - -89\/3. Solve -2\/3*o + 0 + w*o**2 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y + 4. Let m(l) = -l**2 - 11*l - 7. Let f be m(-10). Is i(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 4. Let l be (-44)\/(-4) - (-2)\/((-6)\/15). Let b(t) = -3*t + 8 - l + 1 + 3*t - t. Determine 4*b(z) + 3*w(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362876?\nAnswer: 2, 83, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 + 2. Let b be f(-9). Suppose 3 = o - b. Suppose -193 + 2063 = o*x. What is the highest common factor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238 - 123 - 65*c - 117)*(-3*c**2 + c**2 + 0*c**2).\nAnswer: 130*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -2491, -5632, -10091, -15904, -23107, -31736, -41827?\nAnswer: -53416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 84 + 776 = -96*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11\/4)\/a*a)\/(a**(4\/11)*a))\/((a\/a**(2\/13))\/(a**12\/a)) assuming a is positive.\nAnswer: a**(3455\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 30*u + 91. Let f be t(-3). Solve 5*r - f = -5*l, 5*r - 15 = 4*l + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 63*v**2 + 1. Is t(-1) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95939 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(sqrt(1377) - (sqrt(1377) - -3*(3*sqrt(1377))**2)).\nAnswer: -111533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14 - -15))\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19283 = 25*o - 3917. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1938\/(-152)*(-3)\/(-18)*-8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1143472 and 107\/363832?\nAnswer: 8004304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + (sqrt(931) - -2*sqrt(931))**2 - sqrt(931)) + 4 + (2*sqrt(931))**2) + 3.\nAnswer: -24215 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose -5*n - 18 = -r, 2*r - 54 = -r - t*n. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1683871 (base 11) to base 5\nAnswer: 1213010114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 3*q + 43. Is z(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1365*c**4 - 120*c**3 + 24548069 wrt c.\nAnswer: -5460*c**3 - 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/6)\/(4\/(-24)). Suppose -5*d + d = -h. Put -2, d, -4 in decreasing order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/3 - 4*u**4 + 22*u**3\/3 + 16*u**2 - 23*u\/3 - 12 = 0.\nAnswer: -1, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*o + 406*o - 70 = -2*l, o - 3*l - 51 = 0. Solve -3*b - o = -30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497713, 497711, 497707, 497701, 497693?\nAnswer: 497683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**4*x + r**3*x - 287*r + 1157*x wrt r?\nAnswer: 4*r**3*x + 3*r**2*x - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let n be m(-1). Let k = n - -1. Sort -5, k, 3.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 6935\/2377?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.6 + 11.72. Let o = y + -0.12. Which is the second biggest value? (a) -2\/5 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*i + 80, 9*s = 8*s + 4*i. Suppose 0 = 6*o + 11 - 35. Solve o*h = -s, -h - 5 = l - 0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2509 and 9568?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 694758027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-120))\/((-2)\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5))**(-29)*(w**(-1\/9))**(-17\/3))**22 assuming w is positive.\nAnswer: w**(-15356\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10) + -10 + 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/7392)\/((-21)\/(-441))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -218. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -82 - 48. Let w = m + -25. Let j(a) = w - 4*a + 5*a + 2*a - 4*a. What is j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*p + 2*o + 49 = -409*p, -29*p - 307 = 4*o for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -62\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u + 2*m - 11 = 0, -u + 5*m - 17 = 0. Let f(a) = 4*a + 3. What is the units digit of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/738 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 11*p**2 - 20*p + 21. Give m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -38. Let d(s) = -3*s + 2 - 14*s**2 - 6 + 15*s**2. Let k be d(4). Solve k = -6*w + 2*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b. Let k(i) = -i + 3. Let q be k(-4). Let n be o(q). Let y = n + -41. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 1. Let a(w) = w**3 - 20*w**2 - 60*w - 183. Let z be a(23). Let m = 23 - 1. Let n(b) = z - m - b + 6*b. Calculate -3*n(r) - 7*q(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.46 - 216.3. Let z = f - -254. Round z to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 776771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**6 + 5*f**5 + 5*f**4 - 3*f**2 + 5*f. Let y(v) = v**5 + v**4 - v**2 + v. Let i(z) = o(z) - 5*y(z). What is the third derivative of i(b) wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1948929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w. Suppose 4*j + w*j = 16. Suppose j*f = 2*f. Solve f = i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2095, 10319, 24085, 43393, 68243?\nAnswer: 98635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 33*c - c - 13*c as a*c + v and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -44.92 (c) 4\/7 (d) -0.1 (e) 5 (f) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40846 and 19266.\nAnswer: 30266886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 808, 1641, 2502, 3397, 4332?\n\"Answer: u**3 + 8*u**2 + 802*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6001, 5999, 5997?\n\"Answer: -2*r + 6003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48730*f**6 - 4681*f**2?\nAnswer: 5847600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -381*m + 388*m - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0*z + 2*z + 52 = 0, -6*p + 6*z = 12*p - 30*p + 9*p - 12 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) 0.3 (c) 0.08 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 9:05 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, e: 1, n: 3}. What is prob of sequence ne?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5535?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 634*d**5 - 1366*d**2 wrt d?\nAnswer: 38040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11268 and 10?\nAnswer: 56340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1020 by -204.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*j**2*k - 7*j**2*l - 2*k**2 - 291*k*l - 469*l wrt k?\nAnswer: 36*j**2 - 4*k - 291*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**7\/252 - y**6\/720 - 7*y**4\/12 + 5*y. Let v(c) be the third derivative of r(c). Find the second derivative of v(m) wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 31 = 3*m + 8, -m - 3 = -2*n. Solve -b + 4 = -m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 63 = 5*h, 5*h = -6*d + 2*d + 113. Calculate the least common multiple of 15\/(-65) - 660\/(-715)*524\/16 and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*v**5 - 19*v wrt v?\nAnswer: 2780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -511396*r**3 + 3 - 26 - 15*r + 12*r**2 - r**2 + 511397*r**3 - 3. What is v(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-57700)\/(-15))\/(-5))\/(4\/24). Let b = k - -50739\/11. What is the common denominator of b and 99\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h + 590*h**2 + 21161*h**5 + 13*h**4 + 752*h**2 + h - 21111*h**5 wrt h.\nAnswer: 3000*h**2 + 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**5 + 2538*v**4 - 159314*v**3 + 604662*v**2 - 447876*v = 0. Calculate v.\nAnswer: 0, 1, 3, 99, 754\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173633820 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1952, 15751, 53204, 126137, 246376?\n\"Answer: 1971*g**3 + g**2 - g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -5*z + 16*o, -3*z - 1061 = 3*o - 1076 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002947056 rounded to seven dps?\nAnswer: -0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 1767*k + 110626. Calculate x(-65).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*r - 0*r - 16, 4*v - 34 = -2*r. Let o(y) = -y**3 + 10*y**2 + 3*y - 14. What is the tens digit of o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9725*o**2 - 3 + 9728*o**2 + 3.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 384\/40*(-1 - -6). Let n(f) = -19 + 2*f**2 + 23 + 3*f - 2*f. Let q be n(-4). What is the greatest common factor of q and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2615 - -2617. Suppose 0 = -5*y + 2 - 37. Let r = -2 - y. Solve -r*s - 3*v = -9, -4*s + 2*s + w*v = 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 28325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 141*n**2 + 1969*n - 3086. What is z(-154)?\nAnswer: 1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Suppose -3*g = 3*y - 0 - 3, 5 = g - 3*y. Suppose -g*x = 29 - 33. Let f(p) = -819 + 819 - 2*p**x + p**3. Determine 4*d(m) + 2*f(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-11)*(6 + 91\/(-14))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - 71. What is the units digit of -1 + t + (-4)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4862360*w**4 - 7050598*w**2.\nAnswer: -116696640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2)**16\/(k*k*k*k\/(k\/((k*k*k**1)\/k))*k*k*k*k**1))**(-40))**45 assuming k is positive.\nAnswer: k**(-70200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9919 - 676 = -631*p - 853 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -69. Let a(q) = -2*q**2 - 8*q - 3. Let l be a(-6). Let z be (-6)\/(-4)*9\/l. What is the nearest to z in h, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) + 6 + -4. Suppose 4*d = 3*w - 22, n*w + 2 = -5*w - 3*d. Factor c**w + 3*c**2 - 9*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + sqrt(38)\/sqrt(2) + 5 + -3.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 463 - 223. Let l = y - 111. Is 43 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29726416 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1267, -2524, -3741, -4912, -6031, -7092, -8089, -9016?\n\"Answer: s**3 + 14*s**2 - 1306*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/3, 298?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c**4 - 2 + 4*c**3 + 2*c**3 + 12*c**4 to the form o*c**2 + x*c**3 + i + p*c**4 + t*c and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**3 - 2*j**2 + 4*j. Calculate z(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from {l: 7, f: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l + 5*q = 43*l - 1426, 4*q + 8 = 0. What is the greatest common factor of l and 531?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14871 + -104101\/7. Which is the second biggest value? (a) -5 (b) q (c) -1283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5 - 20, -4*y + 3*c + 151 = 0. Calculate the least common multiple of y and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2*t**4 - 11*s**2*t**2 + 4*s**2 + 102*s*t**4 - 3*s*t**3 + t**2 wrt t?\nAnswer: -48*s**2*t + 2448*s*t - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72768 or -2?\nAnswer: 72768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*s = 5, 3*h - 2*s = -0*s + 1. Suppose -2 = -5*c + g, -4*g = -2*c + h*c + 8. Solve c*d - 10 = -q + 5*d, 5*q - 30 = 5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - -30. Suppose -5*t + 5*q - 2*q + b = 0, q + 32 = 2*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670941 and 5715.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.34 + 0.679264.\nAnswer: -6.660736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - 1. What is the common denominator of (-8 - 793\/(-104))*(-5)\/3 and ((-3)\/(-2) - 3)*h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*w + 606180 = 1924680. Factor w*s**2 + 2916*s + 169\/4*s**5 + 4798*s**3 + 216 + 1547\/2*s**4.\nAnswer: (s + 6)**3*(13*s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14149 + 14305. What is the lowest common multiple of z and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -115, -269, -485, -763?\n\"Answer: -31*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**5 - y**4 + y**2 - y + 1. Let l(b) = -6*b**5 + 4*b**4 - 6*b**3 - 4*b**2 + 4*b + 4. Let t(d) = 4*j(d) - l(d). Factor t(v).\nAnswer: 2*v*(v - 2)**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*x + 2*x + 6, 0 = -x. Let w be (0 - 3\/9)\/(c\/36). Solve 0 = -w*b - 3*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 16. Let m = 15 - y. Suppose 0 = -2*f - 0*f - m*r + 16, 0 = f + 5*r - 17. What is the third biggest value in 4\/3, -5\/2, f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7575 + -60599\/8. Put 0.21, c, 0.4, 9, -1 in ascending order.\nAnswer: -1, c, 0.21, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6384035 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 q when four letters picked without replacement from qqqqggqqq.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -5*u - 3*p - 238, 3*u = 5*p - 26. Let f(x) = 12*x**2 + 2*x + 2. Give f(u).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2399667344 to the nearest integer?\nAnswer: 48986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31716, -31843, -32036, -32289, -32596?\n\"Answer: n**3 - 39*n**2 - 17*n - 31661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -3\/4, -0.5 in decreasing order.\nAnswer: -0.5, -3\/4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a**2 + a - 2. Let g be k(2). Suppose -50 = -l - g. Solve d - 2*u - 8 + 1 = 0, d = u + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*y - 15*y**2 + 19*y**2 - 151*y + 57*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -121. Suppose -15*x + c = x. Factor -61*k**2 + 120*k**2 - 62*k**2 - x*k**3 + 7*k - 2 + 2*k.\nAnswer: -(k - 1)*(k + 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 - 2\/2)\/(-1). What is the nearest to 0 in g, -0.2, 3\/4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 4*z**3 - z + 153 - 153 to w*z + u*z**2 + t + r*z**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4455, -8926, -13397, -17868, -22339?\nAnswer: -26810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2641*o*s**2 + 10*o*s - 2*o + 13*s wrt s.\nAnswer: 5282*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from ssssoosss.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 + 57 - 54)*(-1 + 1 + 3*j).\nAnswer: -510*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/80 + 33*l**5\/40 + 965*l**2. Solve m(f) = 0 for f.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/10)\/(6\/(-20)). Let r = z - 3. Suppose -d + 5 + r = 0. What is the lowest common multiple of 10 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Let l be q(5). Suppose -5*f + 237 = 4*a, -4*f - 13 = -1. Calculate the highest common divisor of a and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 5 + 285*o + 14.\nAnswer: 285*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.6 - 43.6. What is the closest to 3 in -1, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:42 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12.18 times -6274\nAnswer: -76417.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76\/(-8)*-5 + (-7)\/(-84)*6 and 87.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*d**4 + 7658*d**3 - 22944*d**2 - 15032*d - 2240 = 0. Calculate d.\nAnswer: -2\/7, 5, 56\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24157\/(-17255) + (1 - (-64)\/(-65)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179816261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 509 + -492. Suppose -1 = c + 6. Let b = c + 12. Calculate the remainder when s is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -372.5 + 375. Put w, 1, -3\/5, -1\/3 in descending order.\nAnswer: w, 1, -1\/3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Which is greater: 3\/7 or d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -40 + 232 + -186?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a*a**2\/a*a))*a)\/a**3)\/((a*((a\/a**(1\/4))\/a)\/a)\/a**6)*(a**(-2\/3)*a)**(5\/8)*(a**(-1))**(-21) assuming a is positive.\nAnswer: a**(707\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3241328485 to 5 dps.\nAnswer: -0.32413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -107. Solve 0 = 3*h - 7*h + t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 47*w - 68*w - 234 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000899 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8356, 66816, 225504, 534538, 1044036, 1804116?\nAnswer: 2864896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 3*u**2 + u - 4. Let d be r(3). Let w = -337 + 192. Let h be 4\/(-1) - w\/140*4. Which is the closest to -1? (a) 3 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 42. Let x be 90\/f + (-3)\/(-12). Let p(s) = -s + 11. Calculate the remainder when p(x) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32171 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 141776379*i. Let t(l) = 2*l. Determine k(t(o)).\nAnswer: 283552758*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let m(b) = -b**3 - 4*b**2 - 2*b + 2. Let w be m(u). Calculate the remainder when 16 is divided by ((-9)\/4)\/(w\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3*p**3 - 4 - 1\/2*p**2 + 0*p. What is the second derivative of s(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1.002 (b) 3 (c) 2\/45 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 27*r + 79. Give l(-17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1789\/28 - -470\/7. Calculate the common denominator of (-74)\/(-6) + 1 - -1 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4480.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*-5*1\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.97545576 - 9.34719. Let k = u - -0.5717338. Let o = -0.2 + k. Round o to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:36 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q - 2*q**4 - q**3 + 0*q**3 - q**4 + 6*q + 5*q + 165*q**2 to the form y*q**2 + k*q**3 + m + u*q**4 + i*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 229647271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 14410.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380080793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -3, -31, -1501, 0, 2, -5 in decreasing order.\nAnswer: 59, 2, 0, -3, -5, -31, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 0.06.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g**3 - g**3 - 4*g**3)*((0 + 1 + 2)*(-5 + 5 - 2*g) + (3 - 1 - 1)*(3*g + g - 5*g)) to k*g**3 + t + j*g**2 + p*g + n*g**4 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3724*v**2 + 1860*v**2 + 7680*v + 1862*v**2 + (5*v - 3*v - 3*v)*(3 - 3 + 2*v) as q*v + x + s*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41152572*i**3 - 34288214*i?\nAnswer: 246915432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8832 and 144.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -3102?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -0.5, -0.2 in ascending order.\nAnswer: -40, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let g(x) = -220*x - 1. Calculate l(g(j)).\nAnswer: -440*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -432024 (base 5) to base 13\nAnswer: -6881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*d + 41, -2*d + 8*z - 10*z + 32 = 0. Suppose -4*v = 4*p - 16, -7 = -3*p + d*v - 15*v. Which is bigger: -3\/173 or p?\nAnswer: -3\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 16*p**2 + 12*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.8, 1, 979?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322210112 + -10?\nAnswer: 22322210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 - ((-163575)\/756)\/25. Let h = -465103\/28 + 16613. Let c = i + h. Find the common denominator of c and 67\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-22) - (-2320)\/(-2640). Which is the second smallest value? (a) -0.5 (b) g (c) -22 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from engcqgz. Give prob of sequence qze.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/6143779?\nAnswer: 2\/6143779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -997960, -1996003, -2994048, -3992095?\n\"Answer: -q**2 - 998040*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30067 and 5339.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 - 1506*c**2 + 2110?\nAnswer: -8*c**3 - 3012*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/15 + 4*b**3\/3 + 16*b**2\/5 + 44*b\/15 + 14\/15 = 0 for b.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(-4*m - m + 4*m)*(2*m**4 - 11*m**3 + 11*m**3).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 5, 1.08, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2448) - (-3 + sqrt(2448))) + (sqrt(153)*-2 - sqrt(153)) - (sqrt(153)\/(sqrt(9)*4) + -3 + sqrt(68))))**2.\nAnswer: -2160*sqrt(17) + 35001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 m, and 1 k when four letters picked without replacement from rrrkrrkrmjrkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/169 and -115\/182?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*d - 2 - 10, -4*n + 2*d = 18. Let k be n\/((-6)\/(-4))*-2. Suppose 34 - 10 = k*x. Calculate the least common multiple of 4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1699 = -131. Suppose a = 25*m + 3*m. Is m at most as big as 40\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2233 + 22?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 9. Let m be u(0). Let l be (-1*(-6)\/m)\/((-24)\/(-1332)). Which is the nearest to 0? (a) -0.3 (b) l (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 43. Let q(n) = -n**2 - 11*n + 9. Let p be q(-13). Let i = -36 - p. Let a be w(i). Solve 2 = -a*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 9680, 32654, 77392, 151148?\nAnswer: 261176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.8. Let w = 12 - r. Let y = -13.76 + w. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*w)*(-4*w**3 + 4 - 4) in the form b + h*w**4 + y*w + v*w**3 + m*w**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3\/5))\/w)\/w*w)**(-11) assuming w is positive.\nAnswer: w**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7764, 8530, 9784, 11514, 13708, 16354?\nAnswer: 19440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7591705 is divided by 583976?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053*y - 3425*y = 654278 for y.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*p*r**2 + 8*p*r - 35*p + 776*r + 2357583 wrt r.\nAnswer: -288*p*r + 8*p + 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18679 + 18699. Calculate the remainder when 535 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 - 6 + 2*z + 9*z - z**3 + 3*z**2. Let s be c(-5). What is the remainder when 340\/s - (-2)\/(-7) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363228.\nAnswer: 2, 3, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19232 and 490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:09 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-267)\/(-21) - 10\/35. Let d be 5 - j*(-2)\/6. Suppose -h + d + 11 = 0. Is h less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 2079998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7442 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31999056 - -0.32. Round y to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + -1 + 2. Suppose 2*w + 3*o - 6*o - 181 = t, -5*w - 5*o = -440. Suppose -w + 9 = -4*p. Solve -q + 12 = -3*i, 6*i - i + 4*q + p = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 695\/(-15290) - (-15)\/(-33).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84873 by 3.\nAnswer: -28291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2761, 2762, 2763?\n\"Answer: v + 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/1 - 2\/(8\/(-12)). Suppose 2*v = -2*q + 2, -q + 6*q = 4*v + w. Solve 4*h - h - 2*y = -q, -4*y - 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 - i**5\/12 + i**4\/4 + i**3 + 3*i**2. Let o be h(-6). Suppose o*b - 4*b - 30 = 0. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 13554?\nAnswer: 149094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**6\/12 + w**5\/10 - w**4\/4 - w**3\/3 + w**2\/4 + w\/2 - 7. Find f, given that n(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336231154 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21427362?\nAnswer: 2, 3, 11, 36073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 8458 + 5342 = 0. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4332 + 4?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 - c - 1. Let z(x) = -31*x + 97*x - 35*x - 30*x + 1. Give 3*b(k) + 3*z(k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -10.713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 39803172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/175168 and -95\/1906516?\nAnswer: 213529792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*l - 5 - 1 = 0, 3*l + 15 = 5*d. Suppose -d*u = -5*k - 2630, -5*u + 2*k + 3071 = -1287. What is the highest common factor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889178187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52693.\nAnswer: 23, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - -0.8. Let m be -1 - (8\/(-24) + (0 - 8\/6)). Put m, j, 0.2 in decreasing order.\nAnswer: m, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*p**3 - 28*p**2 - 2?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let k be (-7)\/(-14)*(0 - -12). Suppose 0 = -3*w + k, 0 = v*m + 2*m - 4*w - 12. Solve 1 = 4*z + c - 0, m*z - 4*c = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -156*v**2 + 4*v**3 + 7*v - 3*v**3 + 164*v**2 - 9. Let g = 654 - 661. What is z(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167152 and 6944.\nAnswer: 2340128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705 + 744 = 177*u - 98*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 25*k**3 - k + 1. Let y = 4 - 2. Suppose -2*c + y = -0. Calculate the remainder when a(c) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711016, -1422106, -2133196?\nAnswer: -2844286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, -5, 6, -24269, -6 in increasing order.\nAnswer: -24269, -6, -5, 2, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.53 + 8.93. Which is bigger: 48 or o?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (807\/9)\/((-1)\/(-2409)). Suppose w = -2*a - 309935. Let h = 682971 + a. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*a**3 + 3 + (-1 + 0 - 5)*(-78*a + 8*a + 2087*a**3 + 70*a).\nAnswer: -12524*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 + (20 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(605) + -1 - ((-1*sqrt(605) - sqrt(605)) + -5)) + -1*sqrt(5) + 1 + sqrt(20)\/sqrt(144))**2.\nAnswer: 772*sqrt(5)\/3 + 186821\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 94 = -29. What is the derivative of -8475*m**2 + 24*m**x + 10 + 8476*m**2 - 1 + 27*m**3 wrt m?\nAnswer: 153*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20687417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69555 = -21*l + 12786. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20777*g = 20779*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*i = 221, -2*b - 11 = -4*i - 117. Suppose 4*w - b = 1569. List the prime factors of w.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641623653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 13607 - 4724 - 4908 - 4608.\nAnswer: -z - 633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201212122 (base 3) to base 2.\nAnswer: -11100010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 - 300. Suppose 2*u - 4 = z, 0 = -3*u + 3 + 6. Let m(q) = -5*q + 0*q - z*q + 8 + 8*q. What is m(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5482 + -0.3482. Let x = -2.9 + 1.8. Let y = x - -1.21. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 4. Suppose n = -d*l + 24, -3*n - 4*l - 28 + 100 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.33 - -53. Let w = 0.07 - q. What is the second smallest value in w, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*(-21)\/28*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 161811.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 87.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2*h - 10*h = -14*t + 144, 0 = 5*t + h - 48 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12810015 is divided by 1756?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1322 + 985. Let b = p - -397.4. What is b rounded to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/15 + 2\/4*4. Suppose m*y - 2*g - 7 = 3*g, -5*g + 20 = 5*y. Solve 3 = 3*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-one halves of a kilogram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 674\nAnswer: -7\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/24 + i**2. Suppose 4*o = t + 580, -o - t = t - 136. Let y(s) = 144 + 11*s - o. Calculate p(y(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18415248 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622529067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**21\/(u*u**(-1\/3))*u\/(u*u*u**(-30\/13)*u)*u*u**(8\/3)\/u)**34 assuming u is positive.\nAnswer: u**(10302\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(3 - 6 + 10)*(2*v - 4*v - v).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1938.4 > -1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132503, -132450, -132397?\n\"Answer: 53*h - 132556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159096 less than -1221?\nAnswer: -1221.0159096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15 + -2 - 899\/(-58) - 46\/(-20). Factor -h*p**4 - 2\/5*p**2 + 1\/5*p**5 - 12\/5*p**3 + 6\/5 + 11\/5*p.\nAnswer: (p - 6)*(p - 1)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292454838 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 959 - 954. Let s be ((-4)\/(-8))\/(3\/(-54)). Let i be (-18)\/(-81) + 2\/s. Put w, 4, i, -6 in ascending order.\nAnswer: -6, i, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33216529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-20)*l*l*l*l**5*l)\/(l**(-5\/4)*l**(-4\/3)*l) assuming l is positive.\nAnswer: l**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6110765 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s**7\/s)\/s)*s)\/s**(-1\/11))\/((s\/(((s*s**1*s)\/s)\/s))\/s)**(-5\/2)*(((s**3\/s)\/s)\/(s\/s**(1\/4)))**(-10) assuming s is positive.\nAnswer: s**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 28*x**3\/5 - 96932872*x**2\/5 - 52620748*x + 83085384\/5 = 0?\nAnswer: -3, 2\/7, 3461891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/7 - 11*f**4\/7 + 103*f**3\/7 + 11*f**2\/7 - 102*f\/7 = 0.\nAnswer: -17, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -14. Let v = -26 - -49. Let t = v - g. What is the nearest to 1 in -3, 2\/13, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 1.61\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20*((-44)\/(-8) - 1). Let g be 1*j\/(-2)*-1. Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 at least -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -76\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**2 - 4*k**2 - 3*k**2 - 3*k**2. Let q(x) = 2*x**2. What is q(o(s))?\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 162 = -4*k + 3*w, 4*w + 8 = 0. Let z = k - 46. What is the hundreds digit of 4\/(-6) + 610\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let v(p) = -46687867*p**2. What is v(m(t))?\nAnswer: -46687867*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64275 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (270\/40 + -7)*-8. Let f(a) be the first derivative of -3\/2*a**4 + 0*a + 0*a**2 + 4\/3*a**3 - x + 2\/5*a**5. Factor f(y).\nAnswer: 2*y**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 - 1300*p + 3429. Determine s(-34).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 391946*d. Let n(a) = -12*a**2. Give n(j(p)).\nAnswer: -1843460002992*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 116?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = 2*s. Let r(v) = -v**2 - 7*v - 5. Let c be r(s). Suppose 2*x - c*x = -120. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00835568226 to 6 decimal places.\nAnswer: -0.008356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Suppose -1 = m - g. Suppose 5*w - 5*n + 2*n - 16 = 0, n = m. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4119 - -4124. What is the nearest to 0.2 in 34\/5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/16*30\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1763 and -14044?\nAnswer: 14043.8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11812.77027 nanoseconds to weeks.\nAnswer: 0.000000000019531696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/43325, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164396 is divided by 18249.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 54*n**6 + 82*n**3\/3 + 181. Find the third derivative of a(j) wrt j.\nAnswer: 19440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -251, -253, -255?\n\"Answer: -2*a - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 138 - 62 = -6*t + t - 34, -4*t - 3 = q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 52*w**3 - 2*w**2 - w + 2. Let d be c(1). Calculate the highest common factor of d and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*d - 5*d - 142 = 0, -213 = 3*g + 5*d. Let r = -32 - g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 37 = -545. Let r = s - -107. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18*k**2 + k - 1. Let l(i) = -2*i. Calculate the remainder when r(1) is divided by l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 88, 108, 144, 202, 288?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 134*u - 669. What is the hundreds digit of x(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12385120367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2820*k - 609077. Determine i(216).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*j**2 + 2*b**2*j*o**3 + 236*b**2*o + 9*b*j**2*o**2 - 2*b*j**2 + 6*j**2*o**3 wrt b?\nAnswer: 4*j**2 + 4*j*o**3 + 472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2384*w + 2*h + 11 = -2389*w, h - 11 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339542 is divided by 56477?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + f - 9. Let j = -75 + 75. Calculate m(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 1, l: 2}. Give prob of sequence ijjl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2918, -3076, -3234, -3392, -3550, -3708?\nAnswer: -3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208325880 divided by 105?\nAnswer: -1984056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:08 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(1\/3)*c)\/c)\/c)**(-1)\/(c*c*c**(-2)*c)**(2\/79))\/(((c\/(c*c**(-4)\/c)*c)\/c)\/c**(-2\/3)*c*c*c*(c\/c**4*c)\/c*c*c*(c**(-6)\/c)\/c) assuming c is positive.\nAnswer: c**(77\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/105 + -1\/21. Let r be (-5 - -8)*(-2)\/3. Let k be (11\/4 + r)\/(-3). Which is the nearest to i? (a) -3 (b) -3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 71.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21490\/3 + -7013. Let t = i + -150. Let c be 72\/(-34) - (16 - 18). Sort -7\/4, t, c in ascending order.\nAnswer: -7\/4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = n - 14, 3*n - 5 = 5*n - 3*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.37 * 2\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 81\/5, 4, 15, 2\/9?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021638246 plus 13?\nAnswer: 12.978361754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -156010, -312031, -468052?\n\"Answer: -156021*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*n + 15 = -3*j, 5*j + n - 39 = 0. Let t = 8 + j. Let o = t - 0. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i - 827. List the prime factors of n(53).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70176313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/3*h**2 - 150 - 2\/3*h**3 - 130*h.\nAnswer: -2*(h - 15)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:25 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = -4*n + 65. Find the common denominator of (-2)\/6 - (-812)\/96 and (-5)\/25*n\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 26 + -36 - -45\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*p**3 - 10*p**2 - 669*p**3 + 333*p**3 + 11*p**2 - p**2.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 i when three letters picked without replacement from iwxwidszs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 18. Let p be n(6). Let t(m) = -2*m + 27. Let a be t(p). Solve -j - 6 = -3*g, 5*j - a = 3*g + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -196. What is the remainder when -4*(-1 + (-165)\/m) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19991407 divided by 60397.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 636 - 346. What is the highest common factor of 29 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 36*t + 14. Let j(f) = -4*f - 24. Let w be j(-7). Let c be a(w). Suppose c + 280 = 6*o. List the prime factors of o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 11*z - 41. Suppose 15*j = 11*j - 8. Let b(s) = -s**2 + s. Let p(g) = j*b(g) + d(g). Is p(17) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95592.8 years to decades.\nAnswer: 9559.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 8032338 and 8032333 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 622 and 2688.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + 36 + -33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.113 and 1421663.\nAnswer: -160647.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from ieeeeieieeiiee?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.42 - -1.42. Let r = -8.3 - -8. Which is the nearest to k? (a) r (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w - 91645 = -2625564. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -1444*t**5 - 7505*t**4\/4 + 5*t**3 + 140*t**2 - 20*t - 9. What is y in k(y) = 0?\nAnswer: -1, -1\/4, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -1, -b - 19 + 23 = 8*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3454, 1, 0 in ascending order.\nAnswer: -6, -3, 0, 1, 3454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -421*n**2*p + 123834768*n**2 - 2707*n*p + 28*p wrt p.\nAnswer: -421*n**2 - 2707*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*b**3 - 43*b + 34*b**3 + 26*b**3 - 3*b**2 + 4*b**2 + 27*b**3 - 3 to the form t*b**3 + w*b**2 + x + y*b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 6 = 5*z. Let m be z\/((-3)\/27*3). Solve -m*w - 3*n - 18 = w, 0 = -2*w + 4*n + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 - 9 = -4*d, -7 = -2*d + 3*v. Suppose -f + d*y = 6*y, 16 = 3*f - 4*y. Let l(q) = f*q - q**2 - 5*q + 0 - 7 + 6*q. Determine l(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4 - 8*j**3\/3 + 2*j**2 + 3. Factor p(z).\nAnswer: 4*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 1, n: 5, a: 7}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/10 + (-251867)\/(-22). Suppose 135*v = 145*v - f. List the prime factors of v.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 + 4*p - 3. Let u be g(2). Let k(f) = f - 3. Let v be k(6). Suppose -v*r - 10 = -r, 5*q = -5*r + u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - ((-25 - -13) + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(1\/4))**(-1\/5)*(m**(-1\/2))**(-2\/29) assuming m is positive.\nAnswer: m**(-183\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x - 517. Give d(44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 3\/5 + 4\/((-160)\/(-296)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117738 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128223134 and 94016?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404124 + 2?\nAnswer: -404122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**5 - 39*s**4 - 156*s**3 + 156*s**2 + 576*s = 0?\nAnswer: -3, -2, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9168 and 91\/498128.\nAnswer: 1494384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 9:48 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by 6?\nAnswer: 151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 + k. Calculate i(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76823.58 millennia?\nAnswer: 768235.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x - 14. Let p be d(2). Let a be 9\/(-27) + (-148)\/p*-1. What is the smallest value in 5, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = 3*u + 2*d, 24 = 5*u - d. Suppose -u*v - 5 = -5*z, 5*v + 3 = 2*z + 4. Let 0 + 1\/2*w**3 + 1\/4*w**4 + 1\/4*w**z + 0*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udd. What is prob of sequence du?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8383703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 4, d: 2, h: 1}. Give prob of picking 3 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose 2*u = -3*p + 144, 6*u - g*p = u + 385. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1997, -3986, -5967, -7940, -9905?\n\"Answer: 4*f**2 - 2001*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 59 - 199 = -32 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 3*r - 8. Let p be a(-5). Suppose -p*z + 62 = -z. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 338*v**2 - 6*v - 337*v**2 - 10*v.\nAnswer: v**2 - 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 486*w**2 - 4706*w = 0. What is w?\nAnswer: 0, 2353\/243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*w - 47 - 3, 2*k - 2*w = 24. Which is smaller: k or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4727278 decades to years.\nAnswer: 4.727278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) 4 (c) 5 (d) 0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = -2*j, -o + 2 = -2*j - 3. Find the second derivative of -o*a + 13*a + 12*a**5 + 3*a wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a = -41*a - 8932. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 24. Let m be c(-10). Suppose 0 = 5*t - 4*w - 21, -2*w - 7 + m = -t. Suppose t*k - 2244 = -3*q, 0 = 3*k + q + 3*q - 1353. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 678 - 2440?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qdddqlqqzdzdqddz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10713 is divided by 4590?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0*o**4 + 3\/10*o**5 + 0*o**3 + 3\/10*o**6 + 0*o**2 + 0 + 1\/14*o**7 + 6*o. Factor y(s).\nAnswer: 3*s**3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4\/5, -4, -3, 2 in descending order.\nAnswer: 2, 4\/5, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 135230575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 87\/3 - 2. Suppose -6*l = -l - y. Sort 2\/3, l, -0.2 in ascending order.\nAnswer: -0.2, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -647*f**9\/168 + 19*f**5\/30 - 11*f**3\/6 - 3*f**2 + 73*f + 1. What is the third derivative of u(n) wrt n?\nAnswer: -232920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826 is divided by 131.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Let i(m) = m - 5. Let f be i(9). Let q be 27\/(f + n) - -1. Solve -5*u = -q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 31 = q + 4*m, -3*m + 39 = 4*q. Suppose -13*w = -4*w - 1665. Suppose 41 - w = -12*z. Calculate the smallest common multiple of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26006*m**3 + 46803*m?\nAnswer: 156036*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 14*g**2 + 75*g + 806. Give z(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -14. What is the units digit of (-31 + g)*(-3)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*p - 854 = 50*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3486 - -3483. Sort 15, 2, y, 1, 5.\nAnswer: y, 1, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + d**2 + 0*d**2 - d**2 + d**2 + 2*d**2 + (0*d - 2*d + d)*(d - 5*d + 2*d) + (4*d - 2*d - 4*d)*(2322 - 1277*d - 2322).\nAnswer: 2560*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let w(f) be the third derivative of f**4\/24 - 4*f**3\/3 + 4*f**2. Determine w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3. Let u be x(-5). Let h = u + 30. Suppose 4 = 2*q, -7*q = 3*a - h*q - 37. Is a greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -1 - 24\/8. Let q be 1\/j*27\/18. Solve -q*t**3 - 7\/4*t**2 + 7\/4*t + 3\/4 = 0 for t.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85 from -0.72.\nAnswer: -85.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203034 + 203036 + 6352*d**5 + 17*d**2 - 17*d**2 - 25955*d**5 + (-d + 3*d - 4*d)*(-2*d**4 + 3*d - 3*d).\nAnswer: -19599*d**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07163 to 3 decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -433300 (base 5) to base 14\nAnswer: -558d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 1, y: 1, t: 1, z: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62705 rounded to two decimal places?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 232\/15*b + 2\/15*b**2 + 152\/5.\nAnswer: 2*(b + 2)*(b + 114)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 36869 = 8291. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 15*g + 44. Suppose 20 = -4*u + 4*u + 2*u. What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 34*s**4 + 49 - 4*s + 0*s**2 - 2*s**2 - 185*s**4 to the form f + v*s + w*s**2 + c*s**4 + b*s**3 and give c.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 264\/9 + 8\/(-6). Let f(k) = 16*k + 5*k**2 + 1 + 14*k - l*k. Give f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 114?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -298, -427, -670, -1051, -1594, -2323?\n\"Answer: -4*b**3 - 33*b**2 - 2*b - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i + 5. Let r(g) = -g + 3. Let k(q) = 3*q - 10. Let o(y) = 2*k(y) + 7*r(y). Let v(j) = 10*o(j) - 2*w(j). Factor v(s).\nAnswer: 2*s*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 119\/42 - (-5)\/30. What is the closest to 0.1 in l, -5.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 5*c**4\/4 - 13*c**3\/6 + 5*c. What is the second derivative of i(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + (sqrt(42) + sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6758963 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + 66\/297. Let s(d) = 4*d - 3*d + 20 + 0*d. What are the prime factors of s(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14*(q\/q**(6\/7)*q*q)\/q assuming q is positive.\nAnswer: q**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*i - 2*i = -23, 0 = 5*d - 5*i - 30. Suppose c + d = 0, -9 = 3*u + 4*c + 5. Suppose v - 111 = -u*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b00 - 5?\nAnswer: 2ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.3. Let g = k + -0.2. Which is the third smallest value? (a) -0.2 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 326*n**2 + 32*n + 2381. Is w(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/8, 10207, 9\/10 in decreasing order.\nAnswer: 10207, 9\/10, 3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Let u be (-2)\/10 + (-224)\/70. Let h = 29\/10 + u. Which is the closest to h? (a) 2\/23 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213920728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (-1 + -20 + -45 + 57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 5*v + 1 - 5*v + (-301 - 23 - 14)*(-1 - v + 1 + 0*v - 3*v + v - v + 5*v - 2*v + (0 + 2*v + 0)*(-1 - 1 + 5)).\nAnswer: -1688*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -423203 (base 5) to base 15\nAnswer: -4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15947406 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 6. What is the units digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54e + bc?\nAnswer: 61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*x + 269 - 1517. What is the remainder when 143 is divided by x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 10*i + 50. Let t be n(-8). Let u(q) = 15*q**2 - 3 + 153*q - 155*q - 4*q**t. Let w(d) = -23*d**2 + 5*d + 7. Give -5*u(m) - 2*w(m).\nAnswer: -9*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4845 divided by 2.\nAnswer: -4845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/30)\/(30\/(-36))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465504 (base 8) to base 5.\nAnswer: 20033112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7866 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*x + 195*x = 3. Let j = 133 - 16. Suppose z - 5*w + 10 - j = 0, -x*w = -12. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 67765\/(-45) + 4\/18. Let g = -1525 - q. Let x = -1\/105 - -947\/210. What is the common denominator of g and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 13 = 5*y - 8, 3*q = -4*y + 31 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5009278*v**3 + 828054*v?\nAnswer: -30055668*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c - 17435 + 19730 = -61*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)\/m)**(-14\/5)\/(m**(-1\/2))**(2\/5))**25 assuming m is positive.\nAnswer: m**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -814*g - 5215. Determine w(-7).\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - 11.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.9, -5, 21 in descending order.\nAnswer: 21, 4.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = 15, 4*z + 8 = -4*q. Suppose 3*a = 22*j - 20*j - 14, -j - 11 = 3*a. What is the nearest to 0.2 in z, 1.7, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - 1701207?\nAnswer: -1701161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-110)*(-22 - (-11 + -2) - -4). Which is the third biggest value? (a) 4 (b) z (c) -2 (d) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23187215 to the nearest integer?\nAnswer: 4815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/i*i**(5\/4))**(-30)*(i**(2\/3))**(-23\/3)\/((i*i\/((i**(-1\/10)\/i)\/i)*i)\/(i*i**(1\/4))) assuming i is positive.\nAnswer: i**(-2063\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 58 = -18. Let s = d - 22. Let j(m) = -5 + m**3 + 0*m + 4*m**2 + 3 + 2*m. Calculate j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c**2 + 7*c**3 + 6 - 17*c**3 + 3*c + 7*c**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 - 16*f**3 - 34*f**2 + 49*f**2 + 7 - 7*f + 15*f**3. Let a = -5 + 10. Determine z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -2\/13, -1, -122?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 135 + (25\/6 - 2\/12). Let y = -135 + c. Suppose -h + 120 = b, -3*h - 480 = -y*b - 2*h. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = 3*m. Let u be (-4)\/(-15) + m\/(-15). What is the third smallest value in 0.4, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*c + 7 = 0, -a + 6*a + 584 = 337*c - 417 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, 47, 164, 329?\n\"Answer: 24*a**2 - 3*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 37*n + 1654. Determine r(-49).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 91*c - 160*c + 76*c - 43. Let z be u(7). What is the greatest common factor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/23 + 87\/46. Let f = 0.8 + -0.86. Put f, a, 1, -0.3 in ascending order.\nAnswer: -0.3, f, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 154*x - 155*x - 18 = 0, -3*v - x + 18 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 + 73*n - 21. Calculate u(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1315584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74836 and 1285626.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Suppose 0*w - y*w + 64 = 0. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22095516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 88 = 106 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/66 - (-22436714)\/4884. Let i = k - 4594. Calculate the common denominator of i and 1\/2.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*g - 17, 0*y + 2*y = 4*g - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 23.19. Let s = p + -0.01. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -262?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (36\/(-30))\/((-56)\/50) and -73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -34, -8, 1, -4, 4 in decreasing order.\nAnswer: 4, 1, 0, -2, -4, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*((sqrt(1088) + -3 + sqrt(1088))*4 + sqrt(1088) + sqrt(1088)))**2)*5.\nAnswer: -9600*sqrt(17) + 544710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 5*x**2 - x**2)*(4*x + 0*x - x)*(-4*x + 0*x + 0*x).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 25?\nAnswer: 23\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 144*v**2. Let m(l) = -12*l**2 + 2. Give m(z(w)).\nAnswer: -248832*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4599, -4597, -4595, -4593?\n\"Answer: 2*q - 4601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmgmjummnmnhmnuj. Give prob of picking 2 n and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let o(u) = u**2. Let m(d) = -3*n(d) - 2*o(d). Let r(y) = -y**2 + 2*y. Let i(k) = -k**2 + 3*k. Let z(j) = -4*i(j) + 6*r(j). Determine z(m(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y - 6. Let u(z) = -189*z - 245. Let o(h) = -10*h - 13. Let p(i) = -56*o(i) + 3*u(i). Determine -5*p(s) + 6*r(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 - 4*h**3 - 4*h**2 - h**3 - 3*h**3 - 3*h + 4 + 4*h**3. Suppose 5*b - 35 = -2*w, 2*b = -4*w - 9 + 39. Determine j(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 6*a - 24, 73926*z + 4 = 73925*z + 4*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 6*v - 1 + 20*v - 8*v as f*v + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z - 6*z = 87*z - 3289 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578971888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/32)\/(5*7\/(-140))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 181?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -15 + -34 + 13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1329242 and 0.038?\nAnswer: 1329242.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udxvddxfxvvdfdxfxd. Give prob of sequence vxf.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -23*y - 5. Let m(x) = 68*x + 16. Let a(b) = -10*g(b) - 3*m(b). What is the derivative of a(z) wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/200)\/((-9)\/(-36)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j**2 - 235*j**2 + 1486*j**2.\nAnswer: 1318*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272*3.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318, -51, 2, -2.9 in ascending order.\nAnswer: -318, -51, -2.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -2\/5 (b) -2\/7 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 3}. Give prob of sequence uaau.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126961 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063260 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.8, -4, -2\/13, -0.06?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 12. Suppose 4*o = -7 + 23. Let f be (o - 6)\/1*1 - 11. Calculate i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2. Let u(o) = 21*o**2 + 2*o + 4. What is -u(m) + 6*x(m)?\nAnswer: -3*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1932829\/180 - -10738. Calculate the common denominator of 41\/220 and w.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 at most as big as -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*d + 5*j, 4*d = 38*j - 18*j + 12 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/24 in 5, 2, 0.8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5892 and 10.87?\nAnswer: 64046.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.93 * 0.0703.\nAnswer: 0.065379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(-45)\/(-5). Let v be ((-1)\/(-2))\/(r\/(-96)). Let a be (-2)\/v + 405\/20. Solve d = -3*d + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195032.\nAnswer: 2, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 0.27461673588.\nAnswer: 0.30461673588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-22)*-1 + 1 + 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - -1 - -4 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = -4. Solve l*o + 4*r - 13 = -0*r, 20 = 5*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4392 - -4393. What is the nearest to r in 0.04, -3, -7\/5, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 62964, -2, 6, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23569*w**2 - 90962 wrt w.\nAnswer: 47138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17031, 33993, 50955, 67917?\n\"Answer: 16962*j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3243, 3303, 3359, 3411, 3459?\nAnswer: 3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*1*sqrt(208) + -1.\nAnswer: -1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2) + (1 - 6\/4). Solve 65 = -i*v + 53 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 5. Let q(i) = -5*i + 19. Determine -9*b(x) + 2*q(x).\nAnswer: -x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -193 + 186 - l**4 + 13*l**4 wrt l?\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-18)\/15)\/((-318)\/530)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9268 - -16825. Suppose 0 = -13*m + l - 732. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(1\/11) assuming n is positive.\nAnswer: n**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = -734*s - 202*s + 79*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.725 + 0.275. Let l = -23\/3 + 41\/6. Which is the third biggest value? (a) 3\/2 (b) f (c) l (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8489473\/5353810 - 2\/76483. Calculate the common denominator of -113\/90 and j.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15\/3 + (-3 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 3*o + 2. Let a be z(-2). Let t be (-2)\/a*1446\/(-3). Suppose -3*y + 121 = l, -2*y - 3*y + t = 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {t: 1, w: 1, p: 1, s: 1, y: 2, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 + 2*k**2 - k**2 + k - 2*k to h*k**2 + w*k + i and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 57*a. Let c(z) = -157*z + 2. Determine o(c(h)).\nAnswer: -8949*h + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 9*u - 5. Let g be q(-8). Let i = g - -9. What is the greatest common divisor of i and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 48. Let b be 295 + (-5 + 3 - a). What is the greatest common divisor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 88, -4, 0, 1 in descending order.\nAnswer: 88, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*329\/(-33840)*144\/21.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 28 + 13*z to s*z + n and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72021402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3\/3 + 8*b**2 + 32*b - 68. Factor q(v).\nAnswer: 2*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j**2 - 109*j**2 + 144*j**2.\nAnswer: 94*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6350*f**4 - 2*f**3 - 491090*f wrt f?\nAnswer: 76200*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29917, 55401, 80885, 106369, 131853?\n\"Answer: 25484*o + 4433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706490147490532 + 1?\nAnswer: 706490147490533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2424 - 2423. What is the second biggest value in 0.2, -22, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let y = 0.04 + -0.34. What is the third smallest value in 2, w, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -66593*a - 66652. Determine y(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 1, d: 2}. Give prob of sequence dt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4\/7 + 0*u**2 - 2\/7*u**3 + 6\/7*u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36 (b) -26702689 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.0791?\nAnswer: 0.9492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, l: 3, n: 1}. Give prob of sequence vl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/15 + (-8)\/(-3). Suppose -3*a - v + 14 = 0. Suppose 0 = -2*j - c - 103997, -5*c + 261928 = -a*j + 53913. Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13888, -13879, -13868, -13855, -13840, -13823, -13804?\n\"Answer: n**2 + 6*n - 13895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -37. Suppose 0 = -0*z + 5*z - m. Suppose 0 = -5*d - 0*d + 85. What is the remainder when d is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700))**2 + 0 + -2 + (0 + 6*1*sqrt(343))**2.\nAnswer: -20*sqrt(7) + 13047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3\/8, 2\/9, -1409 in decreasing order.\nAnswer: 2\/9, -3\/8, -30, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60256 and -1.02.\nAnswer: 61461.12","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 5. Let v(p) = -1. Let f(o) = 6*v(o) - z(o). Let g(m) = 8*m**2 - 6. What is 6*f(l) - g(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12))**(-1\/4)*u**(-4)\/(u\/(u**(23\/4)*u)) assuming u is positive.\nAnswer: u**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -512d - -17?\nAnswer: -5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(2 + 28 + 22)*(3*s - 4*s - 3*s).\nAnswer: -208*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18829118 is divided by 5298?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lblrllllldtldldtlbl.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 + 0 + 2\/5*g**3 - 32\/5*g.\nAnswer: 2*g*(g - 4)*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -69. Let c be (a - -8)*(-133)\/14. Let s = -84 - c. Sort s, 5\/2, -1\/6, 1\/4.\nAnswer: -1\/6, 1\/4, s, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o + o - 2*o)*(4*o - 2*o - 3*o) - 7*o**2 + 4*o**2 + o**2)*(2*o**2 - o**2 + 0*o**2).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.83 - -18. Let g = 1614479.1700019 - 1614479. Let y = i - g. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6040*n - 132537. Determine y(22).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhxxjxhjxx. What is prob of sequence hh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120613 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661855477 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 6*v**2 + 8*v + 5. Let c be q(-7). Is (-9*2 + 2)\/c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 7. Calculate the highest common divisor of z and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 12, 1, -20?\n\"Answer: -5*i**2 + 14*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -36. Let k = -25 - d. Let t be (k\/4)\/(5\/20). Solve -1 = h - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1770, -3522, -5254, -6960, -8634, -10270, -11862?\n\"Answer: v**3 + 4*v**2 - 1771*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = b - 8, -4*g = -b - 12. Suppose 0*z + 2*z - 24 = b. What are the prime factors of (3\/z)\/((-2)\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-3))\/((-17)\/306). Let v = z - 29. Solve 7 = 3*c + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510831?\nAnswer: 3, 211, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -2308359.\nAnswer: 17\/769453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**3 - 63*q**2 - 5*q + 5. Let y(f) = -48*f**3 - 190*f**2 - 14*f + 14. Let j(w) = -14*d(w) + 5*y(w). What is the third derivative of j(p) wrt p?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + o - 3*o - 9 = 0, -4*m + 36 = 2*o. Which is greater: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 1. Let o(z) = 7*z - 7. Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868168*j = 868173*j - 205 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -563, 1\/2, 1\/383?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = -545*z - 29*z - 4997 - 1721 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:26 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.07 - 9.07. Put -2\/9, 0.1, 6, x in decreasing order.\nAnswer: 6, x, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116371609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31311033121 (base 4) to base 13\nAnswer: 99c53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 7)*(-2 + 0 + 4) - 4 + 0 + 2)*((4*c**2 - c**2 - 7*c**2)*(5*c - 2*c - 4*c) + c**3 + 4*c**3 - 3*c**3).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y + 5386 + y**2 - 5483 + 6*y. Let q be x(-15). What is the highest common divisor of q and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*a + 23*a + 23*a.\nAnswer: -113*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88240 and 4320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 525000 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 383 + 353 = -49*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168981437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s - 34*s + 17*s)*(-2*s**3 + 2*s**3 - 2*s**4).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/5)\/d))**(8\/15))**(-2\/131) assuming d is positive.\nAnswer: d**(-128\/9825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 172, 360, 558, 766, 984?\n\"Answer: 5*x**2 + 173*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1932)\/126)\/((-1)\/495). Let g = 11971 - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011011100100 (base 2) in base 7?\nAnswer: 136536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22313.94 micrograms in tonnes?\nAnswer: 0.00000002231394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*z + z - 87, -v + 5*z = -114. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12221012111222 (base 3) to base 10\nAnswer: -3153302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2724 = 4*h - 2*n, 5*h = n - 1497 - 1905. Is 29 a factor of h\/15*(2 - (-21)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + ((sqrt(119) - (sqrt(119) - sqrt(119)*-3 - sqrt(119))) + sqrt(119) - sqrt(119)))\/sqrt(7) - (-1*sqrt(17) + sqrt(17))*-1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 7, p: 3, s: 5}. What is prob of sequence ss?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 11*c + 7. Let n be p(8). Let x(q) = q**2 + 22*q + 37. Let w be x(n). What are the prime factors of -115*(w\/10 - -4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**2 + 9*p - 16. Let h(j) = 6*j**2 + 3*j - 5. Let f(t) = 7*h(t) - 2*w(t). Is f(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*u = 644*u + 174 + 283 + 60 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - 3.80053. What is k rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 12. Let k = g + -10. Is (-1)\/k + 213\/15 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/153 - (-8)\/12. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194134707 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Which is the closest to 3\/5? (a) -0.2 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - 6.01. Let z = o - -3. Let x = z + 3.00000025. Round x to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8) - (2 + -9) - 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 6*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4916 - 0.5916. Let q = -5 - -6. What is the smallest value in g, 2, q, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -16*t**5 - 246*t**4 + 496*t**3 + 4846*t**2 - 8280*t + 3200 = 0.\nAnswer: -16, -5, 5\/8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.7. What is w rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009587774037 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52439579 is divided by 962?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5fd9b (base 16) to base 8\nAnswer: -1376633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 2*l**3\/3 - 2*l**2 + 7*l. Is 13 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*b + 72, 0 = 65*h - 64*h + 2*b. Solve 20 - 44 = -h*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10498976*i**5 - 385026*i**2 - 1 wrt i.\nAnswer: 629938560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:34 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59447470*n**4 - 86664491*n wrt n?\nAnswer: -713369640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 10. Let w be -4 + 6*(-4)\/q. Let a = 77 + w. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5*v + 3*k**5 + 20*k**3*v + 868*k*v wrt k?\nAnswer: -60*k**3*v + 60*k**3 + 120*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*10 + (-18)\/9. Suppose c - t*i + 7*i = -15, -2*c + 5*i = -35. Solve -4*v - 3*a = -3, c*a = -v - 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c - 24. Determine y(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -445942, -892871, -1339800, -1786729, -2233658?\n\"Answer: -446929*t + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -26. Let c(y) = 27*y**2 - 12*y + 2 + 13*y**2 - 41*y**2. What is the remainder when c(h) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 4*(5*-3*(2 + sqrt(2736) + 0))**2).\nAnswer: 259200*sqrt(19) + 14796030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/7 + 4*h**4 - 76*h**3 + 472*h**2\/7 + 530*h\/7 - 500\/7 = 0.\nAnswer: -25, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-126) - 1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z - 777. Let s be w(12). Is -646 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.656 times -3?\nAnswer: 1.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*u**3 - 119*u**3 - 88*u**3.\nAnswer: -87*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/((-1600)\/10))\/(1\/1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0 + 2 - -1). Suppose 0 = 3*o + 4*x - 12, 0 = 4*o + x - a*x - 3. Solve 0 = 2*l - o*l - c + 3, -7 = 2*l + 3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(891) + sqrt(891) + 3*sqrt(891) + sqrt(891) + -5 - ((sqrt(891) + -3)*-6)**2).\nAnswer: -64810 + 3996*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 3\/5, -2\/19, -1\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:20 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -204530?\nAnswer: -205004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 9. Suppose y*s - 85 = 3*s. Suppose 0 = 3*n - 2*n - 85. What is the greatest common factor of n and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Let y be 6\/(-15)*-1*u. Suppose 1 = y*s - 5. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.1 - 36. Let z = -37\/2 + 17. Which is the closest to 0.1? (a) z (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-39) - 36\/(-234)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 656\/3 + -244. What is the common denominator of 3\/170 and z?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388179333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1*(sqrt(1100) - (-1 + sqrt(1100))) - sqrt(1100))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 + (21 - -1). Suppose 5*t - g = -4*y, -t = 2*y - 2 + 1. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*q**4 - 16*j*q**2 - j - 20008*q**4 + q**2 wrt q?\nAnswer: 48*j*q - 480192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 972715554439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89204815*i**3*x + 15*i**2*x - 904*i**2 - 9*i*x + 2*x wrt i?\nAnswer: 535228890*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/47, -14, -31, -3 in decreasing order.\nAnswer: 2, 2\/47, -3, -14, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-16)\/(-6). Suppose -5*k + 3*l + 44 = 0, -k + w*k - 2*l = 16. Let c = 249 + -245. What is the smallest common multiple of k and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 43*q + 252 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(249 - 33). Let z = -116 - r. Let x(s) = -s**2 - 8*s - 10. What is x(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -447, -670, -913, -1182?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b402 (base 14) in base 9?\nAnswer: 1516104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142065990 by -14206599.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 14 = -10, -2*j = 2*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:28 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/144*9\/(-75))\/(2*(-1)\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7031 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s - s - 14*s - 9*s as x + p*s and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and 0.081.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -48, -61, -58, -33, 20?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - v - 32 = 0, 4*s + v - 40 = -0*s. Solve -2*w = 6, -5*h - 3*w - s = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407499 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*y + 19*y + 45 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 55 - 3*h)*(-2062 - 2817 - 4265 - 1204 - 3378 + 2056) as b*h + r and give b.\nAnswer: 35010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6)*2)\/sqrt(3))**2*-1 + -1 - ((sqrt(324) - 1*sqrt(324))\/(1*sqrt(288)))**2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:59 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-8))\/((-6)\/16). Suppose t + 2 = 0, o*i = 4*i + 5*t. Which is the smallest value? (a) -1\/7 (b) 1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b - 33*b**2 - 39*b - 6*b**2.\nAnswer: -39*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*j + 4*b, -4*b = 3*j - 4*j - 6. Let q(l) = -5*l**3. Let f be q(-1). Solve -3*n = 2*u + 11, -f*u = -2*n - j*u - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - b = 22 + 27, -3*b - 97 = -2*k. Suppose 8*j - k = -17*j. Solve f - 9 = -j*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8311803 rounded to the nearest 1000?\nAnswer: -8312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1db (base 14) to base 8\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 20*g**3\/3 + 5*g**2\/2 - 15*g - 27. Suppose h(u) = 0. Calculate u.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(150\/(-366)) + 2\/(-10). Calculate the highest common divisor of v and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 523412 (base 8) to base 5\nAnswer: 21030314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 70\/15) + 3)*9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -561649400 rounded to the nearest 1000000?\nAnswer: -562000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 65590.\nAnswer: 1115030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5\/4 + 3*s**4 - 15*s**3\/4 + 3*s**2\/2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 192 = 2*g + 3*t, 4 = t. What is the greatest common divisor of g and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**3 + 11*l + 5. Suppose -3*o = -6*o - 15. Let c be u(o). Round c to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/18 - 8\/(-6). Suppose -3*f - 35 = -2*c, 0 = h*f - f - 1. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 11) to base 10.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkkeii. What is prob of picking 1 e and 3 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100, 117, 146, 187, 240, 305, 382?\n\"Answer: 6*j**2 - j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -5*k + 2*i = 31, -k + 4*i - 20 = -i. Let t(v) = -v**2 - 4*v + 7. Calculate the remainder when t(k) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 129 = 4*f. Let g be (-2)\/(-14) + (-1027)\/(-553). Factor -f*q**2 - 56*q**g - 5*q + 114*q**2.\nAnswer: 5*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(704) + 1).\nAnswer: -40*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 4, 5 in increasing order.\nAnswer: -3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1339 - -1336. Which is the nearest to -140? (a) 2 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8643 - 43488\/5. Let z = -46 - h. Find the common denominator of z and (-4)\/(-18)*21300\/(-200)*(-2)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 30801569.83.\nAnswer: 30801569.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, j: 8}. Give prob of sequence jmmj.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000682095 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -41. Let j = 12 - r. Let q(k) = -k**3 - 7*k**2 - 8*k - 6. What is the least common multiple of 2 and q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + g**2 + 5*g**2 + (1 - 3 + 3)*(4*g**2 - 4*g**2 + g**2))*(0*g + 12*g + 10*g)*(1 + 4 - 2).\nAnswer: 198*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 10) to base 4.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100110 (base 2) to base 12.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5) + (50 - 18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27438757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 31. Let o = n - 7. Let c = 1.17 + -0.87. What is the closest to 0 in c, o, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1914 = 8074. Let j be (-2)\/(-15) - r\/(-240). Let g = 12 + j. What is the remainder when 13 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5010 - -5994. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2*u - 103. What is q(-17)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:16 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3479282011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a3 (base 15) in base 4?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*u - 3. Let x be 4\/(-1)*(-1 - u). Let q be (x - 7)*(-1)\/((-10)\/(-4)). Sort q, 4, 5, 16\/5 in descending order.\nAnswer: 5, 4, 16\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 12*g**2 - 14*g + 17. Let q be y(13). Let j be (0 - q\/8)*2. Sort -3, j, -4.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34612 and 95183?\nAnswer: 380732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(637) + -1 - -3*sqrt(208)).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -62, 3, -2, 1 in decreasing order.\nAnswer: 3, 1, 0, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 104567 divided by -1\nAnswer: -104567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12724452 and 107\/6035958.\nAnswer: 470804724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 30. Determine p(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 25, -5*l + 10 + 45 = q. Suppose -5*c = l, -3*a + 702004 = -0*a - 2*c. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4087 + -3.608. Let z = -0.2 - y. What is z rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r + 8 + 0*r**2 - 15*r - 38 + r**2. Let f be z(17). Let p be (-2 - -2)\/(0 - -1). Solve 1 = 2*a - 5*j + 3, 2*a + f*j + 2 = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.1. Let f = -151.4 - -155.4. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 5. What is the lowest common multiple of w(-5) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 + 10*r - 6. Let o(d) = -2*d - 1. Let x(p) = -4*p - 1. Let z be x(1). Let a be o(z). Let h be f(a). Solve 5*m - h = 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ltelellttetltlelel.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 32. Let o(b) = 21 - 3 + 20*b - 21*b. What is the remainder when o(-5) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 189571?\nAnswer: 189571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**25\/((s**(-8\/7)\/s)\/s))\/(s**12*s**(13\/5)))**(4\/29) assuming s is positive.\nAnswer: s**(1896\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9266499?\nAnswer: 3, 11, 93601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g*s**5 - 3093*g*s - g + 199*s**3 + s - 3 wrt s.\nAnswer: -320*g*s**3 + 1194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 54, -1, 0.31, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 + 3*c + 4. Let o be n(5). Let v = -3 + o. Suppose u - 6 = -5*f + 2, 5*f + 10 = 0. Calculate the lowest common multiple of v and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:09 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98414939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 12*p + 12*p + 23*p - 42*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + q - 1. Suppose 3*j + 5*g = 22, 15 = 4*g - g. Let s(t) = -1. What is j*v(m) + 3*s(m)?\nAnswer: -2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22741288?\nAnswer: 2, 61, 46601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3918, -3858, -3796, -3732, -3666, -3598, -3528?\n\"Answer: a**2 + 57*a - 3976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let x be (n + 11)*(-2)\/(-4). Suppose -x*v = -3*v. Solve v = -j - 2*o + 12, j - 5*o + 33 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 2, t: 5, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324558 is divided by 18882.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 36*p - 13 + 31 in the form b*p + d and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 105 - 3*c + 2*c + 3*c.\nAnswer: 2*c + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, -0.09, -0.2, 3\/5, 20, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -71. What is the third derivative of -5*h**4 + 11*h**2 + 120*h**2 + h**l - 4*h**4 wrt h?\nAnswer: 60*h**2 - 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483039 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 23*g - 58. Let h(r) = -71*r + 174. Let c(s) = -4*h(s) - 11*y(s). Let p be c(2). Solve p*k = 0, 5*k - 10 = -2*t + k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -22*x**3\/3 - 67*x**2 + 5*x - 28. Let q be s(-6). What is the highest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748*s - 1104*s = -12236 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*t**2 - 3*n**2*t + 28*n**2 + 14*t**2 + t wrt t?\nAnswer: 6*n**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 28 - 28. Let o(v) = -v**2 - 2*v**2 + 8*v**2. Give u(o(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 1 + 0*l + l**3 - 2*l**3 + 3*l + l**2. Let y be c(1). Let b(v) = 4*v + 14. Let m(a) = -a - 5. Let t(f) = 4*b(f) + 11*m(f). What is t(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d = -37*d - 472 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -80594330 to the nearest 100000.\nAnswer: -80600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 0, -5*k + 0*k - 4*g = 2. Let u = 23 - 16. What is the smallest value in u, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 28, 53, 92, 145?\n\"Answer: 7*v**2 - 10*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 5185*y**3.\nAnswer: 5*y**3*(y - 1037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + sqrt(85)*-1)\/sqrt(5))**2 - (sqrt(102)\/(sqrt(18)\/sqrt(3)) + sqrt(17)).\nAnswer: -2*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u. Suppose 27 = -5*g - 43. Let c = g + 16. Let x(o) = -4*o + 2 - 4 + c. What is x(q(m))?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2*(sqrt(153) - 2*sqrt(153)))*-4*-2)\/((1*(sqrt(441) + sqrt(441)*2) - sqrt(441))*-3).\nAnswer: 4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/(-12) - 6\/9. Solve -19 = -4*d - w - l, w + 3 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(4\/(-8)*-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20787307469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30 - 10 - 40*s**2 + 26*s**3 + 12*s - 10 + 34*s**2 wrt s?\nAnswer: 156*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*n - 575 + 41, 2*o - 5*n = 356. Solve 0 = o*z - 185*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let r(n) = 10*n - 3343 + 15*n + 3343. What is a(p) + r(p)?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2*y + 4*y)*(-y**4 + y**4 + 2*y**4) + (-157992*y**2 + 157992*y**2 - 26*y**4)*(-2*y + 13*y - 4*y).\nAnswer: -186*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/16)\/(-7)*(-48)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2448, 0, -0.2, 3\/4, 4.\nAnswer: -2448, -0.2, 0, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*7\/(-630))\/((-143)\/(-78)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -14. Let v = t + 53. Which is the closest to -1\/4? (a) -5 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*z + z + 11842, a = -3*z + 5923. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.3 and 9352?\nAnswer: -96325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -44713332 divided by 612\nAnswer: -73061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:18 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 98*z**2 - 175*z + 1203. What are the prime factors of n(7)?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11303123234 (base 5) to base 13.\nAnswer: -28b1ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let n(q) = -229*q - 1. Determine 6*m(o) - n(o).\nAnswer: 229*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.25, 110, 3 in ascending order.\nAnswer: -0.25, 3, 20, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7554, -15061, -22526, -29943, -37306, -44609, -51846, -59011?\n\"Answer: i**3 + 15*i**2 - 7559*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 164019.6813 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -3.342?\nAnswer: -1.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 0, -34, 21, -37.\nAnswer: -37, -34, -5, -4, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -0.16618152413?\nAnswer: 0.83381847587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50893 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1153\/6 - 193. Is -1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-4)\/(-16))\/(15*(-1)\/27)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s - 16. Let m = s + 6. Solve -5*x - 13 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786125.9 millennia to decades.\nAnswer: 78612590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/12*-4*(8 + (-956028)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 29 - 5 = -2*h, 3*h - 85 = 283*t - 288*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64, -125, -186, -247, -308, -369?\n\"Answer: -61*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 805227444*o**4 - 387*o**2 + 709028 wrt o.\nAnswer: 19325458656*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -1 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -14, -6, -3, 5 in increasing order.\nAnswer: -48, -14, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.52478271 rounded to four decimal places?\nAnswer: 3.5248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) -5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/130)\/((-21)\/(3780\/24)). Which is bigger: d or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 89*r + 737. What is the remainder when 3904 is divided by n(-80)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -m, 4*m + 0*j = -5*j - 20. Suppose m = -4*c - 5*k + 306 + 117, -4*c = -2*k - 402. What is the least common multiple of c and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -3178, -1\/4, -4\/71, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 27?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -198*p**2 - 55*p. Let d(j) be the first derivative of 11*j**3\/3 + 3*j**2\/2 + 9. Let a(w) = -55*d(w) - 3*u(w). Let b(z) = z**2. What is b(a(r))?\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192390 - 192351. Suppose -189 = 3*g - 519. What is the remainder when g is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4\/3 + 6353*b**3\/3 + 294261*b**2 - 603339*b - 895482 = 0.\nAnswer: -138, -1, 3, 6489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, i: 1, e: 2, z: 1, r: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*i = -4*i - 4, -3*i - 3 = 0. Which is the closest to 0.1? (a) x (b) -4\/9 (c) 1\/4 (d) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2477 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-11)\/(-176)*-8.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (143 + 3)\/((-1)\/2). Let g = 296 + n. Solve g*w - 5 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -643.42 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-80)\/1120)\/(1 + 5\/(-4)). Put 13, 0.3, -1\/2, a in ascending order.\nAnswer: -1\/2, a, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/51)\/((-12845)\/(-87346))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 35003 = -3*k, -u + 4*k = 5*k + 34999. Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38762*u**2 - 4 + 72055*u**2 - 33296*u**2 + 4.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52509*r**4 - 2 + 400*r**3 + 26255*r**4 + 3*r + 26252*r**4 to s*r**2 + k*r**4 + p*r + j*r**3 + q and give j.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(3*(-14)\/112).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/210 + 5*q**4\/2 - 525*q**3 + 305*q**2. Solve a(o) = 0 for o.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1036 (base 10) to base 3\nAnswer: -1102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {q: 5, w: 1, o: 1, l: 1, c: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -200, -206, -212, -218?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -697.7418 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -318\/21137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -1778311.\nAnswer: 1778313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-44))\/(4\/(-48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 300?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 + 6*l**2)*(3*l - 3*l - 3*l + (-3*l + 7*l - 2*l)*(5 - 1 - 3)).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27.4*8\nAnswer: 219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 1\/5 (c) -3\/2 (d) 9 (e) 1\/122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 190*v + 1. Let l(y) = -3*y. Calculate x(l(k)).\nAnswer: -570*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*g - 221*g + 60 = 0. Let m be ((-8)\/(-54))\/(g + (-242)\/(-24)). Let -8\/9*o**2 - 8\/9 - 20\/9*o + m*o**3 + 16\/9*o**4 + 4\/9*o**5 = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2610 and 3250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((1972\/(-928))\/17*(0 + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.177 + 55.577. What is s rounded to zero dps?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1466933*0.026\nAnswer: 0.0038140258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183 + -54?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i**2 - 1 + 6*i**3 - 7*i**3 + 3 + 1347*i**4 + 2*i**3 - i - 1346*i**4 in the form z*i**3 + x*i**2 + t + a*i**4 + o*i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -8 - -3 - 1) + 36. Suppose -q - 5*x - 13 = 0, -5*q - 8 = -3*q + 4*x. Suppose -w = -g - q*g. Calculate the highest common factor of 88 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39000 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 307*g + 1727. What are the prime factors of y(37)?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*o**3 - o**2 + 37*o + 289109 wrt o?\nAnswer: -240*o**2 - 2*o + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 6. Let g be (-33)\/(-4 + 1) + 1. Let p = g + j. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -438?\nAnswer: -1\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 15*v + 15. Let k(z) = z + 1. Determine -15*k(j) + n(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 30 = -p, -9*d - 13*d + 70 = -p - 2*d - 7*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 7. Let a be d(0). Let u(i) = 11 - i**2 - 26 + 8*i + 10. List the prime factors of u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 2*o**6\/15 - 12*o**5\/5 + 37*o**4\/3 - 28*o**3 + 32*o**2 + o - 731. Let g(w) = 0. What is w?\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 4*i**2 - 5*i - 5. Let o be k(-2). Suppose 6*g - g = -o. Let r(q) = -6*q**2 + 1. Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -594*x + 593*x - 1408, 2*x = -3*n + 1078. What is the remainder when n is divided by 340?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5695\/2 or -2849?\nAnswer: -5695\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40029 is divided by 278.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-501)\/9)\/((-2)\/(-12)). What is the highest common divisor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -875 - -661. Let u = j + 246. Solve 35 = 3*k + u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from bxzlllllllbzzxb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6609520 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5512042, -11024083, -16536124?\nAnswer: -22048165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*z**3 + 2*r**2*z**2 + 2*r*z**2 - 215*z**3 with respect to r.\nAnswer: -4*r*z**3 + 4*r*z**2 + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00999119941 rounded to 6 decimal places?\nAnswer: 0.009991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/30 + 8*h**5\/5 + 2155*h**4\/12 + 19*h + 1. What is the third derivative of p(k) wrt k?\nAnswer: -24*k + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 - (-28 + -92)) + 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from tvvcttj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/6 + 80*z**2 - 155*z\/2 - 475\/3.\nAnswer: -5*(z - 95)*(z - 2)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 - 15*w**2 + 0*w**4 - 23\/10*w**5 + 0*w**3 - 16*w. What is the first derivative of r(c) wrt c?\nAnswer: -138*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -w, 2*w + 0*w = 5*m + 31. Suppose 4 = 2*h - 5*x, w*h - 5*x - 21 + 10 = 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*3 - sqrt(66))\/(sqrt(216) - sqrt(54)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -210, -3.\nAnswer: -210, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -1, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7261358 less than or equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12*j + 24. Suppose j*p + 68 = 146. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1602 + -492. Suppose 825 + k = 15*a. Do 129 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24111 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c05c9 (base 13) in base 14?\nAnswer: 29d2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011502 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1318, -1304, -1276, -1228, -1154, -1048, -904, -716?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 69. Let x(u) = 2*u**2 + 3*u - 8. Let a(r) = r**2 + 3*r - 7. Let h(f) = -3*a(f) + 2*x(f). Calculate the remainder when s is divided by h(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9181617 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/125 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 1809747699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*u - 21, 2*j + 51 = -2*u + 7*u. Let p = 67 - 67. Suppose -2*s - 5*w = -44, p*s - w = 3*s - 79. What is the highest common factor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470.555081 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 + q**4\/6 + 5*q**2. Determine l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -0.5 (c) 3 (d) -3 (e) 23\/3 (f) 1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-1050))\/(372\/144 - 3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 0*p. Suppose p = -22*a + 24*a + 10. Sort 3, 4, a, 2.\nAnswer: a, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**6\/6 - 3*z**5\/2 - 35*z**4\/12 - 2*z + 370. Solve q(u) = 0 for u.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*m**3 - 11*m**4 + m**2 - 11*m**2 - 40*m + 2*m**5 + 27*m**4 + 2*m**2.\nAnswer: 2*m*(m - 1)*(m + 2)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 + 8*b**2 - 3*b - 4. Let g be q(6). Let w = -32579\/18 + 1818. Calculate the common denominator of w and ((-1)\/(-5))\/(28\/g).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307 and 177139?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -25. Let v(c) = -2*c**3 + 9*c - 1022*c**2 + m*c**3 + 1029*c**2 + 1. What is v(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, l: 2, n: 2}. What is prob of picking 2 t, 1 l, and 1 n?\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1817321*m**2 - 874201?\nAnswer: -3634642*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iwkiiooowkhioii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4 + 4. Suppose o - 55 = p. Let y = o - 40. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 646996.\nAnswer: 3234980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 - -108.9999939. What is d rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -45. Suppose -4*d - l = 59. Let v(a) = -a**3 - 27*a**2 - 28*a - 48. Let y be v(d). Solve -5*z = 20, -3*c = c + y*z + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*u - 192*u + 33*u**2 - 195*u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 92202604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70543 = 25*x - 357. What is the remainder when x is divided by 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -65*h + 7. Let v be y(7). Let i be 1\/(-5) + v\/(-140). Let u be i*5\/((-45)\/(-911991)) + 3. Round u to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 + -218 - (25 + (0 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2, -3\/4, -2\/9.\nAnswer: -2, -3\/4, -2\/9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b - 6. What is s(-4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417917 is divided by 99?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 976.7 - 988. What is the second smallest value in -0.05, v, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -4*z + 1586, -a = 2. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 5616 = -7*t. Sort -4, t, -5 in descending order.\nAnswer: -4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*4*sqrt(648) + ((sqrt(2592) + -1)*1)**2) + -3.\nAnswer: -7782 - 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256793 + -2821397\/11. Let v = -302 + j. Let g(c) = -18*c + 109. Let u be g(6). Is u greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*f + 515 = -48*f - 545. Solve f*q - 8*q = 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-149189355.\nAnswer: -13427041.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15559 or 15558?\nAnswer: 15558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1767 + -1770. Let c(m) be the first derivative of m**4\/6 + m**3\/2 + m**2 + 2*m + 3. Let f(h) be the first derivative of c(h). Calculate f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 12*j - 15*j - 9, 5*r + j - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 13*i - 16. Let h be t(14). Let y be (h + (-1)\/(-4))*-4. Solve -2*s - 2*b = 14, y = -3*b + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35744620*s**2 + 30532619*s.\nAnswer: 71489240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 4*t + 8. Let g(o) = o**2 + o + 1. Determine 2*g(s) - h(s).\nAnswer: -2*s**2 - 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 28*o**2 - 19*o - 232. Is n(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/2)\/(2\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let t be (0 - y - 1)\/(-2). Solve t = -3*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17896103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1585*-0.2\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/13 equal to -4231828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzsq when four letters picked without replacement from {s: 1, z: 5, q: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260319101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**7\/42 - r**6\/10 + 3*r**5\/20 - r**4\/12 + 23*r. Determine h, given that a(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220112121 (base 3) to base 5.\nAnswer: -22220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*m**3 + 1474005*m**2 + 1094358260 wrt m.\nAnswer: -225*m**2 + 2948010*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20526, 19053, 17580?\n\"Answer: -1473*y + 21999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026*h**2 - 108 - 969*h**2 - 22 + 130.\nAnswer: -1995*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 54*b - 28. Is 14 a factor of l(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*p**6 - 5*p**5 - 16*p**3 - 5*p**2 + 476*p.\nAnswer: 4320*p**3 - 300*p**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.264505 - 4.264303. Let w = -148 + z. What is w rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6404*w + 3219*w + 3183*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 290114688415?\nAnswer: -290114688415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 25.8. Let i = 0.8 - r. Let z = -0.3 - -0.2. Which is the closest to -0.3? (a) -5 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + 6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78808, 78879, 78956, 79039, 79128, 79223?\n\"Answer: 3*s**2 + 62*s + 78743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.12 (b) 0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 1480*t**2 + 5872*t + 5856.\nAnswer: 4*(t + 2)**2*(t + 366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, -5\/3, 7829, 4, -2\/3, 13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**6\/180 - 2*o**3\/3 + 4. Let y(s) be the third derivative of m(s). Let k(b) = 3*b. What is y(k(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -994?\nAnswer: -25\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000858 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -571*w**3 + 2*w**2 + w - 2. Let y be j(-4). Let v be ((-12)\/(-18))\/(4\/y). Suppose 4*m - v = -m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/100 - 193521\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q + 3. Let h(c) = -14*c - 1. Let a(j) = -13*h(j) - 6*m(j). Give a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 1013*z**3 - 872*z**3 - 561*z**3 + 1776*z**3.\nAnswer: -670*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250131 greater than -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/81*(-5)\/((-40)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - 60\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*b + 46, -5*b - 4*v = -4*b - 28. Let r(p) = -12*p - 6. Calculate the remainder when r(-5) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27151 + -8.\nAnswer: -27159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (6\/44)\/(-2 - 212\/(-112)). Let d = 0 - 2. Is d less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -854\/3 or -18009.8?\nAnswer: -18009.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1241018\/722007 - 380\/221. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w + 6. What is a(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j**3 - 12*j**2 - 2*j + 30. Let q(a) = 29*a**3 + 22*a**2 + 4*a - 55. Give 6*q(u) + 11*t(u).\nAnswer: 9*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(153\/(-255)) - (-182)\/6.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -2)\/(38*(-40)\/1140). Find c such that 12\/5 + 34\/5*c + 6\/5*c**k + 6*c**2 - 2\/5*c**4 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*w + 2369, -5*w = -5*g - w + 5965. Suppose 5*v - 68 - g = 0. What is the derivative of 19 - 5 + 263*c - v*c wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1099368 by 8.\nAnswer: 137421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6. Suppose -164*z + 84*z - 240 = 0. Let u(i) = i**2 + i + 7. Give z*m(g) - 2*u(g).\nAnswer: -2*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**3 + 7*j**2 - 7*j + 15. Let m(b) = 3*b**3 + 4*b**2 - 4*b + 7. What is -7*m(i) + 4*u(i)?\nAnswer: 3*i**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302 at least as big as 4300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*q + 222 = 0, -q = -4*u - 2*q + 459. Suppose 5*s - 7*o + 2*o = 240, 2*s + 2*o - u = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377711.1557 + -19.6?\nAnswer: -377730.7557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 4. Let h be b(-2). Sort h, -2, 2 in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 1 + 1)*(6*d**2 - 3*d**2 - 2*d**2) + 0*d**2 - 5*d**2 - 28*d**3 + 29*d**3 to s + y*d**3 + k*d**2 + r*d and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 17, e: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -1 + 5 - -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 5*o + 34, 8 = -4*o. Let x be (2\/w)\/((-2)\/(-8)). Suppose -5*l + z + 68 = 0, 3*z + 8 = -x. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/66 and -1\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {b: 1, y: 3, k: 6, l: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3321299 - 3321444.99896. Let i = 146 + a. Round i to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:27 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(637)*-2 + sqrt(637) + sqrt(637)*-1 + -2)**2.\nAnswer: 140*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/130)\/(29\/((-4495)\/(-31)))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 26*a - 36. Determine f(-12).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5 = -7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50041940?\nAnswer: 2, 5, 13, 197, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341195 divided by -5?\nAnswer: 268239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 4*h - 1. Let f be (-5)\/2 - 1\/2. What is the units digit of j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -454 + -674?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**2 - 5897 - 149052*x - 434 + 6*x**2 + 1140 + 145988*x wrt x.\nAnswer: 4*x - 3064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -17*j - 18*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, -9467, 48, 6 in increasing order.\nAnswer: -9467, -1, 1, 4, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7551 minus 9036?\nAnswer: -16587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 382*p**3 - 237*p**3 - 1 - 3 - 210*p**3 to the form y*p**2 + g*p + i + q*p**3 and give q.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/52 (c) 5 (d) 0.011 (e) 0 (f) 0.5 (g) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 + 3*h. Let s be r(-5). Let a be 58 + 2\/s*3*5. Let d = -52 + a. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 8. Suppose 2*y + 0*y - 42 = -d*z, 3*y - 23 = 4*z. Calculate the remainder when ((-25)\/(-2))\/((-2)\/(-4)) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11221672769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7018 and 348.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.25 + -0.35. Let v = 12 + -6. Let q = v - 3. Which is the third biggest value? (a) -0.9 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 44*p - 62. Give g(22).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 1 - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -62, 1, 21, -12, -1\/3 in decreasing order.\nAnswer: 21, 4, 1, -1\/3, -12, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/1 + (-4815)\/(-15).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*d + 24 = 0, 6*h - 60 = h - 3*d. Let w = h - 10. Let x(m) = 4*m - 3. Let i be x(2). Put w, 1, i in descending order.\nAnswer: i, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.61689l in millilitres?\nAnswer: 27616.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18*5272\nAnswer: -94896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + -1997.\nAnswer: -1998.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**3 + s - 56*s**3 - 6*s.\nAnswer: -82*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/24 - 7*(-21)\/(-49). Sort r, -5, -2\/21.\nAnswer: -5, -2\/21, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 59, 86?\n\"Answer: 27*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 21*d**2 + 24*d + 32. List the prime factors of w(21).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let q(y) be the second derivative of -y**3\/3 + 3*y**2\/2 + 2*y. Give q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q**2. Let z(o) = 224211*o**2. Give z(t(h)).\nAnswer: 89684400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -139, -8, 313, 920, 1909, 3376, 5417, 8128?\n\"Answer: 16*q**3 - q**2 + 22*q - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (20 - 30) - -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-50 - -54 - -30).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.26 - -95.74. Let l = 139 - b. Let i = l + -42.37. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/11429 in 3, 4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 28. Give b(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001935262 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -1, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 3. Suppose 25*u = 31*u - 30. Suppose x + 5*p = -u, -5*p = x - p + 4. What is the smallest common multiple of 4 and i(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x\/(x\/x**7))))*x**(-4\/5)\/x)**(-6\/13))**(-50) assuming x is positive.\nAnswer: x**(-2640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4988 - 1455497\nAnswer: -1460485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 2. Let y(p) = -2*p**2 + 2*p + 7. Let f be -3*28\/6 - 1\/1. Let x(z) = -z**3 - 17*z**2 - 29*z + 18. Let d be x(f). Let m be y(d). Determine u(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p*p\/(p**(10\/3)\/p)*p*p**(-22)*p*p*p\/p**(-8\/7))**(-8\/17) assuming p is positive.\nAnswer: p**(2776\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnddnddddd. What is prob of sequence ddn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8742*p**4 + 3122 wrt p.\nAnswer: -34968*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + -160. Let v be (6\/p - (-200)\/(-52))\/(-22). Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97301*y**2 + 32452*y**2 + 32387*y**2 - 72 + 609*y + 32387*y**2.\nAnswer: -3*(y - 8)*(25*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)\/(sqrt(11) + (sqrt(11) - sqrt(44)) - sqrt(11))*6)\/(sqrt(24)\/(3*sqrt(486))))**2.\nAnswer: 288684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1513213213?\nAnswer: 1513213221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 183 = -606 - 539 for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -437 - -440. Solve 15 = 3*l - 5*w, -2*l + 0*w = i*w + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1759 + -1114. Suppose 0 = -3*k - 7*l + 2*l + 383, -5*l + p = 5*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 21*s**4 + 204*s**3 + 423*s**2 + 156*s - 84 = 0?\nAnswer: -7, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - r**2 + 31*r - 2. Let k(b) = -11*b**3 - 9*b**2 + 195*b - 43. Let d(g) = -k(g) + 6*q(g). Calculate d(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1534*a**3 + 3*a**2 - 3. Let s(h) = -1578489*h**3 - 3086*h**2 + 3086. Determine -3*s(z) - 3086*x(z).\nAnswer: 1543*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 4, b: 2, z: 1, e: 1}. Give prob of sequence sei.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/11)\/(16*(-22)\/48*2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {f: 3, q: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-3915)*29)\/(((-2132)\/(-40))\/(-13))\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 42 + 10*a)*(-225*a**4 - 223*a**4 + 444*a**4 + 88*a**3).\nAnswer: -40*a**5 + 880*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*b + 14*b + 320 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 16*n - 40*n = 0. Suppose 3*v + w - 130 = n, v = 3*v + 4*w - 70. Calculate the highest common factor of 315 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*o + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 r, and 1 l when three letters picked without replacement from rpvcrlljpcrp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 280, 274, 264, 250, 232, 210?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 8. Let p be o(8). Suppose p = 7*n - 112 + 21. Suppose n = s + 15. Round s to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from avqftqag?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1260, 1318, 1488, 1830, 2404, 3270, 4488, 6118?\nAnswer: 8220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -360 (base 15) to base 13.\nAnswer: -46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*c**3*l**3 + 8*c**3 + c**2 + 41*c + 2*l**3 - 9*l**2 wrt c?\nAnswer: -372*c*l**3 + 48*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-10)*-10*146\/(-6). Suppose -z - 753 = -7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = -3*d. Let f(y) = -2*y**d + 115*y - 115*y. Let z(c) be the third derivative of c**4\/6 + c**2. Determine f(z(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/189*(-5)\/25*(-75)\/(-30).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112, 8, -132, -296, -472, -648?\n\"Answer: 2*r**3 - 30*r**2 - 28*r + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l + 45*l - 20 = -3*c, 4*c - 5*l = 34 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10238143 is divided by 123350.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -46\/19*b - 2\/19*b**4 + 6\/19*b**2 + 14\/19*b**3 + 28\/19 = 0. Calculate b.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.04, -1\/3, -1.2, 4, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - 1d264b1?\nAnswer: -1d264c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 2*a + 224. Calculate the greatest common divisor of 128 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52535595 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -15, 3, -1, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, -1, -15, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*s**4 + 14*s**4 - 6*s**4)*(-3 - 6 + 5)*(5 - 3 - 11).\nAnswer: 1512*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -9*s**4\/2 + 12*s**3 + s**2 - 4*s - 25. Solve r(h) = 0.\nAnswer: -1\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -3\/16, 1 in increasing order.\nAnswer: -4, -2\/3, -3\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 648689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Let j = l + 0. Are j and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (sqrt(1053) - (sqrt(1053) + -2)) - (sqrt(1053) + -1)*-5)**2 + 0.\nAnswer: -270*sqrt(13) + 26334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 9\/5, 8220, 5, 4, -2\/3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -926 by 30.\nAnswer: -463\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 27*j**2 + 7*j - 44. List the prime factors of z(8).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2011812 and 113\/2377596?\nAnswer: 26153556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.629 - 0.229. Which is the closest to -1\/3? (a) -0.4 (b) 2\/13 (c) j (d) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*a**3 + a**2 + 555*a?\nAnswer: 1026*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.1894m in millimeters?\nAnswer: 453189.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 412*j - 210*j - 204*j + (-2*j - 2 + 2)*(-3 + 7 - 2) - 3*j - 1 + 1 + 1 - 1 + j + (0*j + 0*j - j)*(0 - 3 + 2) to the form a*j + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21352219 less than -92.7?\nAnswer: -21352311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2394.3 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.7642 and 93711083.\nAnswer: 93711084.7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3 + 2 - 6 - 5*t to q*t + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)\/h**(3\/7))\/((((h**1*h)\/h)\/h)\/h)**5)\/((h**(3\/7)\/h)\/h**(3\/2)*(h**(2\/7))**(-3\/10)) assuming h is positive.\nAnswer: h**(1273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (2 - (-3)\/(-3)). Suppose -n*v = 5*v - 7. Suppose -5*t = -2*g + 26, 4*t + v + 0 = -5*g. Solve -4*l + 5 = -g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/((c*c\/c**(-2\/41))\/c))*c*c\/(c**(-32)\/c) assuming c is positive.\nAnswer: c**(1478\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 5, x: 5, y: 2, o: 2, p: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31\/(1953\/135666)*(-1 + (-27)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*m - 192, m - 3*l = -0*l + 65. Let r = -51 + m. Let c(f) = f**3 + 3*f**2 - f - 1. Let q be c(-3). Solve 10 = r*d + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/((-10)\/6). Sort -5, 1\/4, 0.1, m.\nAnswer: -5, m, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1631157411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032310 - 2?\nAnswer: -12032312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10974, 21948, 32922, 43896?\n\"Answer: 10974*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + j**3 + 2*j**3 + (1 - 2*j - 1)*(2*j**2 - 3*j**2 + 0*j**2) + 0*j**3 - 2*j**3 - j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 119 - 13?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:56 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 divided by -391?\nAnswer: 316\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5181 - 0?\nAnswer: -5181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 40*r**2 - 2*r - 150. Calculate the lowest common multiple of w(22) and 8.\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p**(3\/7)*p)\/(p\/((p\/p**(-3))\/p)*p*((p**8\/p)\/p)\/p)*(p**(-7)\/(p*p**6))**(2\/7) assuming p is positive.\nAnswer: p**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -45004.22 to the nearest one hundred.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -389448361.66 and -0.063.\nAnswer: -389448361.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553600 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14 - ((-196590)\/8928 + 8) and -61\/1302.\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*v - 2 + 62 = 0, -14 = -m - v. Suppose 5*a - m = 4*s + 10, 4 = -4*s. Solve 3*o = a*l, -4*o + o - 2*l - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.9 take away -5973.7?\nAnswer: 5741.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - -6) + (2 - (52 + -19)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -269, 391, 27 in increasing order.\nAnswer: -269, 1, 27, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -82. Let d(f) = -f**2 + 7*f - 2. What is the remainder when t is divided by d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403.78 rounded to the nearest 10?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/19 and -119\/1482?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158498957 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33640, -67298, -100970, -134662, -168380?\n\"Answer: -p**3 - p**2 - 33648*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 10*w + 24. Let y be q(6). Sort y, 3, 15, -1.\nAnswer: -1, y, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4860 by 6.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1061, -5 in increasing order.\nAnswer: -5, 3, 1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5\/3 - 284*l**4\/3 - 2920*l**3\/3 + 37976*l**2 + 364260*l - 2585700 = 0.\nAnswer: -39, -15, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 3 - 9*j + 2. What is y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8440086*p**3 + 2802246*p**2 + p wrt p?\nAnswer: 50640516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167.557743 * -0.3.\nAnswer: 50.2673229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/(s*s\/((s**(-11)*s)\/s*s)*s))\/s))\/((s\/(s*(s\/s**(2\/9))\/s*s*s*s))\/s))**(4\/37)\/((s*s\/s**(-1\/2)*s)**(2\/41)*s**(-6)\/s**(-4)) assuming s is positive.\nAnswer: s**(49739\/13653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 2 (b) -68 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 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: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 3, w: 5, i: 4}. What is prob of sequence wdt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8609.265 + 8591. Let m = v + -2.365. Let o = m - -22.1. Round o to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 27*o**2. Let c(a) = -11062*a. Determine s(c(z)).\nAnswer: 3303931788*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58653025463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Let d be ((-2)\/5)\/(1\/u). Let q(t) = t. Let m(x) = x**2 - 4*x - 4. Let h(s) = d*q(s) - m(s). Calculate h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 22704*t**3 - 32555736*t**2 + 961400880*t - 7172396100.\nAnswer: -4*(t - 2823)**2*(t - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*x + 182*x = 7974 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p = -129*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 21. Give r(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8852926kg to grams.\nAnswer: 885.2926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 153. What is the highest common divisor of 28 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Suppose -12*d = -13*d + 3. Suppose d*q + q + 20 = 5*j, -5 = q + 5*j. Let m be 4\/(-22) + (-31)\/11. Let i(a) = 7*a. What is m*i(x) + q*b(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*p = -388*p + 1950 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - (-19)\/(-4). Let m = -8 - -9. Let w = -2 - m. What is the smallest value in w, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.14922 centimeters in kilometers?\nAnswer: 0.0000514922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468190?\nAnswer: 2, 5, 11, 41, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - n + 12 = -19, -3*z - 5*n = -36. Let g(w) = 2*w**2 + 71*w - 1296. Let c be g(23). Suppose -z*s - 513 + c = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -696642, 1 in descending order.\nAnswer: 3, 1, -16, -696642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-2))\/((51\/(-36))\/17). Let z = y - 87. Let h be 2 + z\/(-1) + 11 + -7. Solve -c = -4*c - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 8. Let j = -13 - -18. Let s(o) = 3*o - 5. Let r(q) = j*u(q) + 8*s(q). Let h(w) = 3*w. Give h(r(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6595 is divided by 3285?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 479?\nAnswer: -479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 2100233?\nAnswer: -2100214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -265, -294, -343, -412?\n\"Answer: -10*m**2 + m - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5019, 9997, 14973, 19947?\nAnswer: 24919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059402 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 18801*o**3 + 6*o - 18800*o**3 + 37*o as r*o**3 + n*o**2 + w + z*o and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Solve -2*v - 4 = 4*j, r*v - 12 = 3*j - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-65)\/(-4) + 90\/120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -p - 1, -70*p - q = -72*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 111*y**2 - 5*y - 7. Let j(u) = 336*u**2 - 17*u - 24. Give -7*i(l) + 2*j(l).\nAnswer: -105*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/105 - 39*p**5\/70 - 41*p**4\/42 + 13*p**3\/7 + 40*p**2\/7 + 3197*p. Let t(s) = 0. Calculate s.\nAnswer: -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101142 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 1)*((4 - 3 - 2)*(3 - 3 + g) - g - 2*g + g) + 4 - 4 + 2*g + (-3 + 1 + 1)*(-2*g + 0*g + g))*(4 - 6 + 1).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 65339.25?\nAnswer: -111076.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4 and -99\/718.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 l when four letters picked without replacement from {c: 5, l: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15209*v**2 + 469*v. Let y(x) = -65*x**2 + 2*x. Suppose 24*g + 58 = -0*g - 5*g. Calculate g*s(z) + 469*y(z).\nAnswer: -67*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -495 + 500. Let h = 929\/5 - 185. Which is the fourth smallest value? (a) h (b) 0 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k. Let a(h) = -h**3 + 5*h**2 + 7*h - 7. Let v be a(6). Let g(j) = -2*j**2 - 16 - 7*j - 10 + 18 - 3*j. Let f(b) = v*g(b) + 2*o(b). Factor f(c).\nAnswer: 4*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 27 = 28. Let u(y) = y**2 + 13*y - 15. Let k be u(-15). Suppose 3 + 12 = k*n. Put o, -2, -1, n in decreasing order.\nAnswer: o, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 x when three letters picked without replacement from fbqqqbyqqbx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -521 - -926. Let z be 54\/n + 29\/(-105). Let d = 464 + -464.2. What is the biggest value in 4, d, z, -1.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/9 + 88*y**2\/9 + 1048*y\/9 + 192 = 0. Calculate y.\nAnswer: -8, -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3180, -3170, -3154, -3132, -3104?\nAnswer: -3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4101 - 3765 = 30*b, -4*b = 5*g - 59 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:35 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 5*s + 9, -5*s = -4*m + 6. Let a(r) = r**3 + 6*r**2 + 7*r + 6. Let p be a(-5). Let d = 7545 + -7546. Put -5, d, s, p in decreasing order.\nAnswer: d, s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 13431?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39668047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*o - 10*o - 59*o)*(-1 - 7*o + 1)*(-4*o - 3*o + 5*o).\nAnswer: 602*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarazaaaarzaaaa. Give prob of sequence arr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 20 - 45. Let o(k) = k**2 + 4*k - 2. Let u(g) be the first derivative of -g + 8. Let z(f) = t*u(f) + o(f). Factor z(a).\nAnswer: (a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*t + 5*t. Let w(a) = 13*a - 2. Let r be w(t). Suppose r*z - 14*z + 6 = 0. Solve 2 = -0*d + z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 - 2*m + 347. Let k be u(0). Let r = k + -347. Solve 7*d - 1 + 15 = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/33 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1686*i + 15748. Give q(9).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65862?\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 4*o - 4. Let q(v) = 9*v**2 - 11*v - 11. Let z(f) = 11*h(f) - 4*q(f). Let w(u) = -u. Let p(y) = y. Let c(s) = 4*p(s) + 5*w(s). Give z(c(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 22*q + 12 = -23*q, -5*q + 130 = 20*l - 85 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 21. Let d = 26.0016 - k. Round d to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from mezoheeoeh?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -22*r - 2. Let h(y) = -y. What is 2*h(t) + s(t)?\nAnswer: -24*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813780 divided by 40.\nAnswer: 40689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000395084 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 232*z - 5887 = 0. What is z?\nAnswer: 29, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2. Let d = 7 + -5. Let w(c) = -5 + 5 + 2 - c**d. Calculate -2*u(y) - w(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let w(j) = -2*j - 2. Let c(o) = -o - 4. Suppose 0 = -3*y + 4*y + 7. Let m be c(y). Let u = 1 + m. Determine u*f(n) + w(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -10718?\nAnswer: 10717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/24 + v**5 - 45*v**4\/8 + 35*v**3\/3 + 75*v**2. Solve y(g) = 0 for g.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57672 and 19224.\nAnswer: 57672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000247169185 to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1901*v**2 - 270*v**2 + 2168*v**2.\nAnswer: 3799*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.2 - -63.06. Let z = b + -56.819984. Let d = -0.04 + z. What is d rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 > -1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43714736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 891155738 a multiple of 1517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 80*z**2 + 19*z + 326. Give r(27).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {h: 3, i: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3\/(-6)*10. Let p be 2*(4 - 3)*1. Suppose -p*h + 8 = -2. Do h and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -5\/4, 2 in decreasing order.\nAnswer: 5, 2, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*k**3 + 0*k**3 - 213*k**3 - 410*k**3.\nAnswer: -755*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1501568.2 + -134\nAnswer: -1501702.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7972 = -3*a - l, 31*a = 26*a - l + 13286. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-4))\/(-5*2\/20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 750921116 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.1662662.\nAnswer: -0.0831331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19490 plus 719.58?\nAnswer: -18770.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/90 - 7*c**5\/60 + 5*c**4\/18 - 82*c + 2. What is n in r(n) = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2549036 and 199892?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -3 + (-2 + 23 - 8). Solve 0 = -14*i + x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10838667 to the power of 1\/2, to the nearest integer?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {k: 1, h: 2, e: 4, o: 4}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - y - 2*y - 5008, 5*y - 20 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -63 - (3 - 3\/3). Let l = -327\/5 - r. Which is the second smallest value? (a) -4 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58612 rounded to two dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(2\/15)*l\/l**(-2\/27)*l*l**9)**(-4\/7) assuming l is positive.\nAnswer: l**(-844\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jjjn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3 (c) -0.1 (d) 1000\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 9468180*y + 634350104 = 0.\nAnswer: 67, 2366978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 4*a**3 + 0*a**2)*(22*a - 20*a + 47*a).\nAnswer: -196*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 - 1.46. Let g = 0.03 + p. Let r be (-200)\/(-624) + 4\/(-26). What is the closest to g in r, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(2835) - (sqrt(2835) - 2*sqrt(2835))))\/(1*sqrt(252)*-2 + (sqrt(252) + sqrt(252)*2 + sqrt(252) + sqrt(252))*-2).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -104005956 times 2\nAnswer: -208011912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1500622 (base 8) to base 9\nAnswer: -718802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18189*f**4*k*p**3 - 28*f**4 - 98*k*p**3 - 5*p**3 - 533*p wrt f?\nAnswer: 72756*f**3*k*p**3 - 112*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4 = -8. Suppose -51 = -f - 3*j + 39, -s*f - 4*j + 172 = 0. Let d = -55 + f. Solve 5*h + 0*h = -2*g - 11, -5*h = -4*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 4*x + x - 5*x. Let n(q) = 3*q. Calculate n(k(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = b + 37, -5*b + 39 = 3*n - 0*b. Suppose -5*h + n = -4*h - 2*q, h - 5*q = 20. Suppose k + h*d + 5*d = 282, 5*k - 3*d = 1550. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Let i(s) = 1 - 5*s**a - 1. Let u(m) = -330*m**2 - 329*m**2 + 658*m**2. Give i(u(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/107? (a) 1\/4 (b) -0.075 (c) 1\/6 (d) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10400\/320)\/(20\/8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -51*i + 96*i. Let f = 0.3 + -0.4. Put f, i, -5 in decreasing order.\nAnswer: f, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + t**3 + 0*t**2)*(t - 2*t + 2*t + (9*t + 8 - 8)*(-1 - 1 - 3)) in the form b*t**2 + a*t + c*t**4 + r*t**3 + q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 342*d**2 + 2181*d - 2520 = 0.\nAnswer: -7, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 + 5. Let a(l) = 4*l**2 - 5. Calculate 4*a(s) + 3*f(s).\nAnswer: s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001477388712 to seven dps.\nAnswer: -0.0001477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/20 - 5*n**4\/12 - 7*n**3\/6 + 9*n**2\/2 + 8*n. Let p be m(6). Differentiate -29*r**p + 12 + 2*r**3 - 8*r**3 + 11 wrt r.\nAnswer: -105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -181, -5.\nAnswer: -181, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -799 + 8799\/11. Let w be (-1)\/(-2) - 8723\/6534 - 0. Let f = w + l. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -2 - (sqrt(125) + -3).\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2*b - 8. Let h be (1\/2)\/((-2)\/(-12)). Solve -b*y**2 - h*y**2 + 2*y**4 + 3*y**2 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-5) - 1) + (-236)\/(-10). Differentiate -8*b - t - b - 13*b wrt b.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -38. Let j = d + 33. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*b + 127344, 131*v - 126*v - 1082139 = -17*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5942 + -202.453?\nAnswer: -200.8588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i**4\/4 - 2*i**3 + 6*i**2 + 15*i - 162. Is x(-8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 384.758 to the nearest integer.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812258421 to the nearest integer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1210099 by -11.\nAnswer: 110009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2142, 4168, 6222, 8316, 10462?\nAnswer: 12672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19)*-3 - (sqrt(19) + sqrt(19) + sqrt(2736) + -2 - sqrt(19)) - ((sqrt(304) - (0 + sqrt(304))) + sqrt(19)*4 + 0).\nAnswer: -20*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-1 + -6 + (28 - 33))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.79 (c) -2 (d) 0.028 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 65*a**2 + 175*a + 245.\nAnswer: 5*(a - 7)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g = 49*g - 4. Suppose 4*j = -20, g*j + 99 = -5*t + 919. What is the greatest common factor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 1883?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -10. Let m = -2 - o. Calculate the lowest common multiple of m and (26\/(-39))\/((-4)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 f, and 1 v when four letters picked without replacement from jefjfvfffjffjffjf?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 3*w)*(8 - 15 + 4).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q**3 - 82*q**3 + 38*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337 + 1872. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13864.692+-1\nAnswer: -13865.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14056*s. Let f(i) = 2198*i**2 + 2. What is f(h(o))?\nAnswer: 434261356928*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:36 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 693*d - 44. Let j(m) = -2*m + 23. Determine 2*j(g) + o(g).\nAnswer: 689*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.536206 rounded to 0 dps?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 7, -2, 41.5, -0.05, 2\/5 in ascending order.\nAnswer: -4, -2, -0.05, 2\/5, 3, 7, 41.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*24\/576*(-5)\/((-25)\/170).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 82 + 0*r**2 - 82.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 25*j**2 - 7*j**2 + 1 + 6*j**2. Does 6 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-24)*(0 + (48 - -8)). Solve 2*h - 5*i - 21 = 0, 5*i + 2 + w = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(3\/174). Differentiate -b*y**3 - 3*y**3 + 10 - 7*y**3 wrt y.\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:22 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158978059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 11)*(-3 + 3 - 2*l)*(l + 0*l + 0*l) + 106*l + 23*l**2 - 106*l + (3*l + 0*l - 2*l)*(4 + 2*l - 4).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 800*p**4 - 498 wrt p.\nAnswer: 3200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32610123 divided by -374829?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 199 in -2\/11, -1\/11, 501?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24593 + 24600. Let v(f) = 2*f**3 - 3*f**2 - 8*f - 3. Let u(q) = -4*q**3 + 7*q**2 + 17*q + 7. Give s*v(d) + 3*u(d).\nAnswer: 2*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 + -364.7. Let u = 15 - l. Which is smaller: 0.5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(85\/34)\/(-5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1515 divided by -17745.\nAnswer: -101\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-840))\/(4\/(-18)) - (-138)\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -759*(-3)\/(18\/58). Let t(n) = 7337 - 11*n - c. Let b(l) = 8*l**2. Give t(b(m)).\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzdzdumwuuuduzumu. Give prob of sequence zzdz.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 625 + 55. Suppose -7*v + 85 = -2*v. Calculate the greatest common factor of c and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (882\/(-3))\/(-14)*(-2)\/(-6)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 4*v = 364, 0 = l + 5*v - 36035 + 36046 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 24.8?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(52))**2 - (sqrt(156)*1)\/sqrt(12)) + (4 + 2 + sqrt(1872))**2.\nAnswer: 143*sqrt(13) + 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25893247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*6\/45*-5. Let y = l + 6. Suppose -4*p - 31 + 387 = y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -50024 and 3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 5641.\nAnswer: 77\/5641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33380, -33386, -33404, -33440, -33500, -33590, -33716?\n\"Answer: -n**3 + n - 33380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*v + 756, 2*v + 2*v = l - 245. List the prime factors of l.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16072 and 770?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134411469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (-33 - (-45 - (15 - 45)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 7*r + 14. Let l be s(9). Suppose 5*q - 7*q = 6. Does q = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270427280 divided by 40727?\nAnswer: -6640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let w be 3\/6 - (28\/(-8) + 3). Determine f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*j*(j*j*j**41*j)\/j)\/j))\/(j*j**(-20))*j**(-3\/2)\/(j\/(j\/(j*j\/(j\/j**(2\/33))))) assuming j is positive.\nAnswer: j**(-1819\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**3 + 8*r**2 - 8*r - 8. Let t(c) = c**3 + c**2 - c - 1. Let u(d) = -d + 9. Let a be u(8). Calculate a*y(i) - 8*t(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -316*v**6\/15 - v**3\/6 + 147*v**2\/2 + 567*v. What is the second derivative of k(u) wrt u?\nAnswer: -7584*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1228, 1227, 1226, 1225, 1224?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*r + 6*r + 230020. Does 53 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 32.9. Let n = 5 - k. Let l = -1.3 - 0.7. What is the closest to n in -2\/13, l, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 37*y**2. Let k(n) = -1075*n**2 + 2*n + 1. Give k(q(b)).\nAnswer: -1471675*b**4 + 74*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01567926068 to four dps.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9112 and 34272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62, -162, -356, -692, -1218, -1982?\n\"Answer: -8*g**3 + g**2 - 47*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let r be ((-10)\/(-3))\/((-2)\/(-15)). Suppose 3*s - 5*k - r = s, -4*s = -3*k - 15. Let w(d) = s - 2*d + 0. Determine n(w(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14660?\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 2 + 2 - b**3 - b**3 - 3*b**3 + (0*b - 2*b + b)*(-2*b**2 + 3*b**2 - 3*b**2) - 3*b**3 + 2*b**3 + 2*b**3 - 8*b**3 + 6*b**2 - 6*b**2 + 2*b.\nAnswer: -11*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 48*q - 149. Let m be x(-51). Solve 6*k - 10 = -m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*y - 5 = 0, -2*y + 0*y = -2*p + 20. Calculate the remainder when (-1 + p)\/(26\/663) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (692\/(-12110)*(-14)\/4)\/((-44)\/4)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 264456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37825466 by -1.\nAnswer: 37825466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.2. Let y be (-1)\/2 + (-11 + -2 - (-1375)\/110). Which is the third biggest value? (a) o (b) y (c) -42 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w*(w**(5\/4)\/w)\/w*w**(3\/7)*w**(-2))\/((w**(2\/5))**(-1\/3)*w**(3\/2)*((w*w**(-8)*w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(1531\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 181898186 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n + 160. Let f(t) = 6*t - 100. Let a(x) = -8*f(x) - 5*s(x). Let j(r) = 9*r - 10. Determine a(j(p)).\nAnswer: 18*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743474 is divided by 1962?\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:22 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/13)\/l*l*l**(-4)\/l*l)\/((l**(-1\/7)\/l)\/l**(-1\/5)))**(-1\/16) assuming l is positive.\nAnswer: l**(643\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the hundreds digit of 3729621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-21)\/(s*s**23) assuming s is positive.\nAnswer: s**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5\/48 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -78. Solve -4*j - 12 = -5*g, -s*j + 9 + 3 = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -15 + (-3 - -15) - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -588.904852 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y. Let n be l(4). Let h(o) = o**3 - 5*o**2 - o + 3. Let p be h(5). Put -4, p, n in decreasing order.\nAnswer: n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001249953 rounded to five dps?\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12155 - 36475 - 14*f + 12152 + 0*f + 12168.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 30. Let f be j(12). Let o(c) = 0*c - 9 + 5 - f*c + 4*c. Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**4 + 2*m**3 - m. Let s(n) = -55*n**4 - 38*n**3 - 746*n**2 + 19*n. Let q(o) = -38*a(o) - 2*s(o). Find the third derivative of q(f) wrt f.\nAnswer: 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/9 - -2) + ((-50)\/6)\/5. Is 1\/2169 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/260)\/((-7448)\/(-988)).\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/2, 0.4, 0.5, 6 in descending order.\nAnswer: 6, 0.5, 0.4, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d. Suppose f + 2*f - 43 = -4*g, -5*f - 35 = -4*g. Let y(p) = -92*p**2 + 10. Let j(m) = 31*m**2 - 3. Let n(u) = g*j(u) + 3*y(u). What is n(q(o))?\nAnswer: 850*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2584 + 2658. Calculate the remainder when 1842 is divided by o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -9. Let r = s + 6. Solve -5*o - r = 2*t, 9*o + 22 = 3*t + 4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24*d + 3. Let o be z(2). Let g = o + -19. Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2) + -20)\/((-2)\/(-4)). Let a = 53 + o. Calculate the remainder when a is divided by 4\/(2\/4*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 871, 1745, 2619, 3493, 4367, 5241?\n\"Answer: 874*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = -2. Let w(i) = -2*i**3 - 137*i**2 - 71*i - 264. Let a be w(-68). Let s be h\/6 + a\/(-18). Solve v = u - s, -1 = u + 2*u - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2693220, 2693219, 2693218, 2693217?\n\"Answer: -u + 2693221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145457?\nAnswer: 13, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - i - 14 = -0*i, -4*k - 32 = 4*i. Suppose -u - 5*x = -51, 171 - 18 = 4*u + 3*x. Calculate the lowest common multiple of 49 - ((-3)\/k)\/(3\/15) and u.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8348 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v + 36*v - 43*v - 793 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and 19\/5198.\nAnswer: 15594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (17 + ((9 - -10) + -7 - 12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891106319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 266667492493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, f: 16, o: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 313 + -327 - (-188)\/13\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - k - 3*k - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -183 in -0.04, 5, -5\/4, 2\/3, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-198) - 7424186\/77319?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from {n: 4, x: 2, d: 2, m: 4, e: 1, k: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40285*q**6 + 2*q**2 + 22231*q?\nAnswer: -4834200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 9 = -z. Let x(u) be the second derivative of 0 + 1\/12*u**z + 6*u + u**2 - 1\/2*u**3. What is m in x(m) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z*z**(4\/25))\/z*z\/z**(-1\/3)*z assuming z is positive.\nAnswer: z**(337\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*c - 897, -915 = -3*c - i - 4*i. What is the least common multiple of 12 and c?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 + 210.11. Let x = 146.11 + -147. Let a = p - x. Do -6 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -r - r - 740, -520 = -2*p - 4*r. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -671*f + 2710. Give j(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {u: 8, t: 5, d: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*20\/(-80)*28\/(-45)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17117557.\nAnswer: 17117557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5*(0 - -10). Let f = 0 - -1. Put j, f, 4 in increasing order.\nAnswer: j, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 4*a**2 - 6*a**2. Suppose -17*j + 13*j + 4*r + 4 = 0, -4*r + 12 = 4*j. Let b(w) = -77 - 11*w**j + 148 - 71. Determine b(d(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6526 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*(-10)\/(-75) - -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4381, -4373, -4365, -4357?\nAnswer: -4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r + 144. Let d be l(-8). Solve k + 5*v = -9, d = 7*k - 4*k + 3*v + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 5380 + 16863. What are the prime factors of v?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192\/224 - (-43*(-29429)\/(-7))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13456, 23, 9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(272)*6 + 1*sqrt(272)*5)*1 + -3 + sqrt(272)*-2*6 + 3*sqrt(272)*-2)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165687995 is divided by 1390.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64\/15, -2\/161, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191*a = 1460*a + 5380 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 124702874, 124702873, 124702872, 124702871?\n\"Answer: -h + 124702875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3\/7 - 14079*h**2\/7 + 2358735*h + 16525227\/7 = 0.\nAnswer: -1, 2347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5\/7, 1, 0, -232, 0.4.\nAnswer: -232, -11, 0, 0.4, 5\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -769 - -772. Find the third derivative of -4*k**2 + 191 + 218*k**3 - 2*k**2 - 175 + 156*k**t - 94*k**3 wrt k.\nAnswer: 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459112648.\nAnswer: 2, 7, 26055583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 637468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/v)**(-12\/7)*v**1\/(v*v**(-6)) assuming v is positive.\nAnswer: v**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1407 = -1036. What are the prime factors of g?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -w + 104. Solve 3*x = -3*s - s + 12, w*x + 9 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*y - 3*x + 2, 13 = 4*y - x. Solve y*c + 8 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 - 13 = 0. Let l = -3 + x. Solve -l*r = 4*g - 21, -g - 3*r - 26 = -8*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 2.6. Let g = -2 - o. Let r = g + 1.3. What is the biggest value in r, -3\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -307, -689, -1195, -1861, -2723, -3817, -5179, -6845?\n\"Answer: -6*g**3 - 26*g**2 - 262*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12207 and 88266.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 10. Let k(l) = -l**2 - 3*l - 2. What is k(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 493402 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(11 + -13)*19\/(-19)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*(g*g\/(g*g**4)*g)\/g*g)\/(g**(3\/4)\/(g*g**(3\/5)\/g)))**(-33) assuming g is positive.\nAnswer: g**(3399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*t + 5*f + 45, 4*t + f - 6 = 0. Let h(x) = x**2 - 7*x + 8. Let b be h(6). Sort b, -1, -3, t in ascending order.\nAnswer: -3, -1, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*24*(-19)\/(-228)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a millennium?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6320403 is divided by 1977?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -350 or -348?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3669077*y**4 + 24*y**3 + 76045*y**2 + 15*y - 15 wrt y?\nAnswer: 88057848*y + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 934 by 934.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 14, 5176 in ascending order.\nAnswer: -49, 14, 5176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 137, 500, 1205, 2366?\n\"Answer: 19*p**3 + 2*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12584966*a**2*o**3 - 10*a**2*o**2 + 4*a**2*y + 2*a*o**3*y - 3*o**3 + 976*o**2 + 7*o - 9*y wrt o.\nAnswer: -75509796*a**2 + 12*a*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34342489.\nAnswer: 34342489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a factor of 2173825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 62.039. Let l = m - -0.309. What is l rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.100412 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 9*m**2 - 3*m - 1. Suppose -4*s + 5*l - 44 = 3*l, 5*l - 11 = -s. Does 5 divide d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbzqqqqq. What is prob of picking 3 q and 1 z?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 460*h**2 + 908*h + 452.\nAnswer: 4*(h + 1)**2*(h + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6463 is divided by (-11200)\/(-170) - (11 + -16 - (-83)\/17).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 13. Suppose -j + 1 = -3*r, -j + 3 = -r - 0. What is the least common multiple of j and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -1268, -1893, -2518, -3143, -3768?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 433993438 and 3086?\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - (-24)\/9. Is 10\/9 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)\/(sqrt(15)\/sqrt(3)))\/(6*(sqrt(12) + sqrt(24)\/sqrt(2))))\/(-4*(1*sqrt(350))\/sqrt(7)))**2.\nAnswer: 1\/28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49617 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: Is 31124846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35))**(-31) assuming i is positive.\nAnswer: i**1085","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*r**2 - 10*r**2 - 842*r**3 + 836*r**3)*(0 + 1 - 3) as x*r + m*r**2 + f + i*r**3 and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 1, o: 3, n: 2}. What is prob of sequence eon?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21*j. Let o(s) = -44228*s. Determine o(d(h)).\nAnswer: 928788*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9777723, -19555458, -29333193, -39110928, -48888663?\n\"Answer: -9777735*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 4}. What is prob of sequence ww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3*(-1551)\/564?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122630646.\nAnswer: 2, 3, 20438441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1\/5, 99, -1\/2, -4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0*w - w + w + 2 - 2 + (2 + 2 - 6)*(-2*w + 0*w + 3*w) - 10477*w - 10547*w + 31687*w - 10567*w - 104 to the form p*w + d and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 1, a: 2, m: 1}. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -181563?\nAnswer: -10\/181563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.225085\nAnswer: -0.125085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3))\/((-1)\/(33\/(-44))*1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {q: 1, t: 8, y: 6, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 190762192809665 from -0.5.\nAnswer: -190762192809665.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39166, -39348, -39662, -40108, -40686, -41396?\nAnswer: -42238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 4279.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) + (-60)\/18. Let q(i) = i**4 - i**2 - i. Let k(s) = 8*s**4 - 4*s**2 - 3*s. Let o(h) = n*q(h) + k(h). Find the second derivative of o(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4, 2*n + 5*i = -3739 - 1363. Let y = 6382 + n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 15, -343 in increasing order.\nAnswer: -343, -6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, -39, 26, 4, -54.\nAnswer: -54, -39, -12, -8, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r. Let o(j) = 440*j**2. What is q(o(b))?\nAnswer: -10560*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 134275097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5 + ((-154)\/8 - (-291)\/(-388)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4820, -4807, -4792, -4775, -4756, -4735, -4712?\n\"Answer: a**2 + 10*a - 4831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a64?\nAnswer: -a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*h**2 + 310*h**2 - 71*h**2 - 9*h**2.\nAnswer: 770*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -38 (b) -3\/19 (c) 1\/3 (d) 0.1 (e) -29 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 84, 158, 288, 492, 788, 1194, 1728?\n\"Answer: 3*u**3 + u**2 + 12*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452*j*k*v**3 - j*k + 2*j*v + 7*k*v**2 + v**2 wrt v.\nAnswer: -2712*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-10 + -1 + 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (-3 - -6) - (-5 + 37 - 19).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/12)\/(95\/57))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v**2 - 5*v + 2. Suppose -5*k - u - 8 = 4, -4*k + u = 6. Let m be o(k). Solve m = -3*z + 8*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-21) - ((-89931)\/2170)\/((-369)\/820)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -4 - (-12 + 16 - 16). Let b(i) be the first derivative of -2\/15*i**5 + 0*i**2 + 0*i - 2\/9*i**3 + 1\/3*i**4 - h. Suppose b(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 474 = 569. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22444547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 - -6)*-1)\/(7455\/(-350) + 21)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-7) + (-16571)\/2044 - 16\/(-2). Find c such that -3\/2 - x*c**2 + 21\/8*c - 3\/8*c**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129991 + 129975.9886. Let j = -15 - p. Round j to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 16062*r - 112436\/7.\nAnswer: 2*(r - 56218)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148185 + 1149712040.\nAnswer: 1149860225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, 364, 2242, 4120, 5998, 7876?\nAnswer: 9754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 292379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34934 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -11, -20, -35, -56?\n\"Answer: -3*a**2 + 6*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2 - 9*s + 20. Let d be o(4). Let r be 1*9 + d + -30. Solve -4*i - 21 = -r*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 1950*v - 337471. What is m(-192)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.036344 to three dps.\nAnswer: 2.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - (8 + 4 + -7 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -30?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 822.3613 to the nearest integer.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g + 40. Let p be f(20). Let j = p - 187. Suppose -2*n + 3*q + 67 = 0, 3*q - q - 142 = -4*n. Calculate the remainder when n is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68\/45 - 2818\/1845. Does m = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17624773 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 40. Let w be 406\/6 + (-3)\/(-9). Let k = w - r. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00440322132 to seven dps.\nAnswer: -0.0044032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32103211112222 + 3?\nAnswer: 32103211112231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 + k**2 + 2*k + 5. Let w(t) = 12*t + 84. Let y be w(-7). Let o be f(y). Let g(i) = -3*i**2 + 4*i - 3. Give g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/51)\/((-4)\/(-10)*-5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-361) + 120\/(-665).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 + 6a44?\nAnswer: 6a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/121496 and -1\/75935?\nAnswer: 607480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -8641.\nAnswer: 111\/8641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 776934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*b + 6 = 0, -4*n + 3*n = -3*b - 12. Let p be (-2)\/(-2)*(3 - 37). Let c = -30 - p. Is c smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-909)\/(-9) + 3\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/7)\/(7\/(-49)). Suppose 7*p - q*p - 24 = 0. Is p\/(-3) - (1 - 30) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 99771. Let b(m) = -52*m - 1. Determine i(b(q)).\nAnswer: -5408*q**2 - 208*q - 99773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by ((-92)\/7)\/((-40)\/140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 a when four letters picked without replacement from {r: 1, a: 4, q: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*g + 1894 = -2526. Calculate the remainder when 198 is divided by g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Let r(n) = -80*n**2 + 55*n + 55. Suppose 12*v + 36 = 6*v. Let j(c) = -9*c**2 + 6*c + 6. Let o(z) = v*r(z) + 55*j(z). Give g(o(s)).\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3567835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from cccciwqcjwcbw.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9450 - n**2 + 9453 - 18903. Let y(z) = 1127*z. Calculate y(b(a)).\nAnswer: -1127*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 9.87. Let r = j - 2.87. Let g = 9 - 9.5. Put 5, r, g in descending order.\nAnswer: 5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-10 - 1) - 5) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/18 and 107\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**5\/20 + b**4\/2 + b**3\/6 - 8*b**2 - 129*b. Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1)*(-2 - 1) + (260 - 406 - -160)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c + 0)*(1 - 4 + 4)*(2815 - 5600 + 2965)*(1 - 3 + 3).\nAnswer: -360*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-6)*96\/(-40). Let d = r + 15. Calculate the greatest common divisor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000868 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25452\/707 - (20\/5 + 5 - 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illilliiiiiiilllllkl. What is prob of picking 3 l and 1 i?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 7*a + 4*a + 56, 0 = -5*a + 20. What is the remainder when 43 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14379 + 14406. Let u(o) be the first derivative of -5*o + 0*o**2 - l + 0*o**3 + 19\/5*o**5 + 0*o**4. Differentiate u(c) with respect to c.\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 + 507 + 783 = 185*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/8 (c) 12527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2360977 and 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 + b**3\/2 - 11*b**2. Determine z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) 0.1 (c) -11\/3 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -34455?\nAnswer: 34454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 z, and 1 q when four letters picked without replacement from qqlloszlzzl.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + -5 - (1 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 37*y - 68. What is u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-120)\/(-8))\/((-1)\/(-1)). Suppose -l = -3*c, -1 = 5*k - 5*c + 4. Let p(j) = j**3 - j**2 - 7*j + 6. What is the units digit of p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.70435 tonnes to grams.\nAnswer: 704350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 554 in descending order.\nAnswer: 554, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from {n: 6, f: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -333*f**2 - f. Let w(n) = 24*n**2 + 18*n**2 + 22*n**2 - 79*n**2 + 16*n**2. Determine w(q(p)).\nAnswer: 110889*p**4 + 666*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3138)\/14 + (7 - (-96)\/(-14)). Which is smaller: -222 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 0.3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0 - 3\/100*z**5 + 0*z**4 + 0*z**2 + 1\/50*z**6 + 0*z**3 + 8*z. Factor l(x).\nAnswer: 3*x**3*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -3103736356595.\nAnswer: -3103736356599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.6, 0.1, 7668, 0.3 in decreasing order.\nAnswer: 7668, 10.6, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2214110 (base 5) to base 15.\nAnswer: b6c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -798, 0.5, 2049, -5, 2\/13, 1\/3, 4?\nAnswer: 2049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85233 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121306 + 729.8.\nAnswer: -120576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/3 + 550*h\/3 - 2327 = 0. Calculate h.\nAnswer: 13, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - 1) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -15, 0.03, 114, -3 in ascending order.\nAnswer: -15, -3, -2, -1, 0.03, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 183*q + 99 = -186*q, 2*p = -3*q - 5*q - 264 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/72*9 - 12. Sort 1.1, 19, x.\nAnswer: x, 1.1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 1608, 4209, 7854?\nAnswer: 12543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211222.\nAnswer: 2, 11, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123 (base 5) to base 14.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89 + (-222 - (-7 - 60))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.2676g to kilograms.\nAnswer: 0.9482676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19830 is divided by 514?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 144. Let j = 80 + y. Calculate the remainder when 135 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 11*l - 7. Let x be k(-10). Suppose 20 = -x*h + 8*h. Solve -w = h*b - 17, 0*w + 3*b - 8 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**2 + 7*j**3 - 2 - 49*j - 3\/20*j**5 - 5\/4*j**4. Suppose w(h) = 0. Calculate h.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + y + 163 - 193 - 3*y. Let u be v(-7). Calculate the common denominator of 97\/4 and u + (-12)\/(-7) + (-90)\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - 70\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/6)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -2*k. Solve j + 4*j = k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/90*8\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, q: 3, y: 1, n: 5}. Give prob of picking 3 y and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 + 36*d - 35. Let t be ((-9)\/6)\/(2\/(-28)). Suppose -3*i + 24 = -3*p, -2*i + p = 4*p - t. What is the remainder when i is divided by a(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + q)*(-4*q + 5*q - 3*q) + 0*q**2 + q**2 + 0*q**2 + (-2 + 5 - 5)*(49 + 296*q + q**2 - 296*q).\nAnswer: -3*q**2 - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14361\/19148*(6\/(-15))\/(11\/5)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 98480*t - 606144400.\nAnswer: -4*(t + 12310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 12*g**2 - 3*g - 15. Let w be i(-12). Let r(m) = w - 10*m**2 - 15 + 18*m**2 - 12*m. Is r(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.89322 rounded to 2 dps?\nAnswer: 61.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owhhh. What is prob of picking 1 h, 1 w, and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(3\/2 + -2) and (-6)\/(-4)*40\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/7 + f**2\/7 + 44*f\/7 + 96\/7 = 0?\nAnswer: -4, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 13*f**2 - 7*f + 7. Let a = -1059 + 1053. What is h(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 4*l - 10 - 9*l**2 + 23 + l**3 + 7*l. Let m be k(-10). Solve 2*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i + 33 - 19 - 21. Let f be x(-5). Calculate the greatest common factor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 2\/(-7). Suppose 1 = -o - s. List the prime factors of 2*o + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -3, 1\/62, 2, 2024\/13 in ascending order.\nAnswer: -3, -1.4, 1\/62, 2, 2024\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100201 (base 3) to base 13.\nAnswer: c520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/10, -0.16, -9, 3 in decreasing order.\nAnswer: 5, 3, -0.16, -3\/10, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47885978*q + 47885978*q + 534*q**3.\nAnswer: 534*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 79, 168, 293, 454?\n\"Answer: 18*q**2 - q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -238, -1904, -6378, -15052, -29318?\n\"Answer: -232*l**3 - 12*l**2 - 6*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9754.377 micrograms?\nAnswer: 9.754377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47580458.\nAnswer: 2, 113, 210533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44\/105 - 3\/35. Suppose -293*j + 291*j - 2 = 0. What is the closest to b in 4, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315826557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/840 - s**5\/120 - s**3\/6 + 2*s**2. Let t(u) be the first derivative of x(u). Factor t(c).\nAnswer: c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 82*m**2 - 103*m + 1644. Determine a(81).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384426393.\nAnswer: 2384426393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 2*s - 14. Let z(w) = -w**3 - 17*w**2 + 2*w + 39. Suppose m + 5*j = -2, -3*m - 59 - 1 = -3*j. Let q be z(m). What is the units digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3270 and 895098735?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 4*i**2 - 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - z. Let v be c(-1). Suppose -q - t + 4 = 0, 5*q - t - 44 = -v*q. Let o be 24\/((q\/270)\/2). What is o rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*r + 1406*r + 1750*r = 158720 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose -v*c + c + y - 5 = 0, 0 = c - 5*y - 2. Let f be (11 + -3)\/2 - c. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5812 - 0.105723.\nAnswer: -5812.105723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from vvxvggvgxxgvvvgevvg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.5. Let x = -3.2262 - -1.2262. What is the fourth biggest value in -0.3, x, -0.7, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1, 8, 2959, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 - 30*m**2 - 94*m**2 + 0*m**3 - m**3 + 8*m**2.\nAnswer: -m**3 - 107*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30350 divided by 30350.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (62 - 0)\/((-1)\/((-44)\/8)).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:25 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/35 + (-4)\/14. Let w be (-5)\/(-7 + 8) + (-35)\/(-6). Which is the biggest value? (a) n (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2 - 8. Suppose 2*h - 18 = -4*w, h + 4*h + 2*w = 5. Is (-22)\/(-1 - (z + h)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svskgbbzk. Give prob of picking 1 g, 2 b, and 1 z.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584)*-2 - sqrt(1584)) + sqrt(11))**2 - sqrt(11) - (2 + sqrt(275))) + (4 + 1 + sqrt(176))**2 + 4.\nAnswer: 34*sqrt(11) + 13678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*z + 568, z + 0 = r + 139. Which is smaller: z or 704\/5?\nAnswer: 704\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 100397388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603730, -4829998, -16301324, -38640238, -75469270, -130410950, -207087808?\nAnswer: -309122374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23032132202 (base 4) in base 3?\nAnswer: -12112111212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -100000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000683 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -128*s + 121*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606432?\nAnswer: 2, 3, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 616097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 + 212. Let w be ((-210)\/25)\/(o\/10). Calculate the highest common divisor of 28 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-12)*-4*((-726)\/9)\/(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*o + 342 - 414 - 423 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 255007300 to the nearest 1000000.\nAnswer: 255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 613 + 509 = 5*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1295877.8\nAnswer: 129587.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z**3 - 3*z**2 + 19*z - 7. Let c be j(6). Is -1946 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165195 or -165192?\nAnswer: -165192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.989 + -0.011. Let v = 104.1 + r. Do -2\/73 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7865219077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5030 = -447*c - 15885 + 3035 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5 - 158*f**2 + 175*f**2 - 14*f**2. Let y(z) = -3*z + 3*z + z. Determine i(y(h)).\nAnswer: 3*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {i: 1, e: 2, w: 1, r: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {b: 2, y: 8, s: 8}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:29 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 - 2620\/11. Let n = -34 + 33.5. Let s = 0.4 + -0.7. What is the closest to s in g, n, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 86278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, o: 2}. Give prob of picking 1 o and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/10 of a gram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 + 12 = 0. Let n be -15 + 13 + (d - -1). Calculate the common denominator of -63\/8 and (56 + n)*4\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u + 146. Determine c(-29).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1548 and -67\/20943.\nAnswer: 3602196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1046, -1971, -2900, -3833?\n\"Answer: -2*d**2 - 919*d - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5494207?\nAnswer: 5494207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(3896\/(-3) - -4). Let m = 2531 - r. Is 8*(m\/(-12) - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**3 + 18*r**4 - 2*r**3 + r**2 + 14*r**3 + 2 + r**2 to the form q*r + d*r**2 + s*r**3 + k + b*r**4 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2, -2*i - 3*n + 9*n = 10*n - 50 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p - 1. Let m be (-1 - 8\/(-6))*3. Let c be x(m). Let g be (-1)\/6 - (-26)\/c. Sort 4, -5, g in increasing order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/(t*t**(-1\/5)))\/t*t))*t\/(t\/t**(-1\/9)))\/(((t*(t\/(t\/(t**(3\/4)\/t*t)))\/t)\/t)\/(t**(1\/3)\/t)) assuming t is positive.\nAnswer: t**(-59\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) 5 (b) 25 (c) 9467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 184\/3. Which is smaller: z or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqg when three letters picked without replacement from {n: 4, g: 2, q: 2, o: 2, s: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 504081 + -504078. Let r be 1 + -1 + (-1)\/3. Sort 42, r, h, 0.2 in decreasing order.\nAnswer: 42, h, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213333018 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: Total of 94 and 5525278237.15.\nAnswer: 5525278331.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538425 + 27*o**2 - 538425.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182623.\nAnswer: 7, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(13\/6)\/z**16 assuming z is positive.\nAnswer: z**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 138*i - 1587.\nAnswer: -3*(i - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 and 3975.\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*a + 89. Let q = a + 35. What are the prime factors of (q - 0)\/((-1)\/55)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-4)*h)\/h*h)\/h)\/(h\/(h\/(h*h*h*(h\/(h\/(h\/(h**(-5\/3)*h))))\/h))*h))\/((h\/h**1)\/h)**20 assuming h is positive.\nAnswer: h**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 6)\/(((-9)\/(-15))\/3). Calculate the remainder when ((-226)\/(-6))\/(y\/(-60)*4) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/(s**(-2)*s)*(s\/(s*s**(-2)\/s))**(-26))**(-2\/67))**(-2) assuming s is positive.\nAnswer: s**(-316\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 2\/13, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 1, k: 3, x: 1}. Give prob of sequence ux.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(242)*1 + (sqrt(4) - sqrt(20)\/sqrt(5))\/sqrt(2).\nAnswer: 4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.22 (c) 2\/5 (d) 1.2 (e) 2980\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1996 - 1906. Is 90 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9268, -35091, -77432, -136285, -211644, -303503, -411856, -536697?\n\"Answer: j**3 - 8265*j**2 - 1035*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16207583283 and -0.02?\nAnswer: 0.18207583283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 21 - 0. Suppose 0 = -5*h + 3*o - 8, 3*h + u*o + 24 = 4*o. Let z be -27*4\/12*h. What is the highest common divisor of 90 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*r**3 + 3*r**2 + 744*r - 12.\nAnswer: -3*(r - 2)*(r + 2)*(62*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 32. Let q be o(14). Let h(k) = -3*k + 41. Calculate the least common multiple of h(q) and (-6 - 1)*114\/(-133).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66.71, -0.3, -0.0634.\nAnswer: -66.71, -0.3, -0.0634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9170311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1154172 by 9.\nAnswer: -384724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y + 456 = 9*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16325 or 16301?\nAnswer: 16301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5435, 5105, 4247, 2597, -109, -4135, -9745?\nAnswer: -17203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 842164610*w - 35462061516822605.\nAnswer: -5*(w + 84216461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g + 11248. What is the hundreds digit of o(-152)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) + 1*sqrt(1275) - sqrt(510)\/(sqrt(10)*2))\/(((sqrt(66)*-1)\/sqrt(11))\/sqrt(2)).\nAnswer: -19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/5 + 16030706*g**2\/5 - 64122836*g\/5 + 12824568 = 0. Calculate g.\nAnswer: -16030710, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**2. Let c(u) = -4*u**2 + 9968*u - 9968*u. What is c(z(d))?\nAnswer: -1764*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*y + 787, 4*y = 3*y - 5*w - 135. Let u = y - -163. Solve u*a = -14 - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w. Let x(o) = -202982*o. Give k(x(g)).\nAnswer: -1420874*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = z - 10. Let i be -63*(-25*(-5)\/75 - (0 - -2)). Calculate the greatest common factor of z and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (557 + 421 - 280)*(6*m - 2*m + 0*m)*(-6 + 2 + 1).\nAnswer: -8376*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1211 and 151\/126.\nAnswer: 21798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47362366 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 2 f when four letters picked without replacement from defqfee.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -388 (base 10) to base 16\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206\/8 + (-7)\/(-28) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 1470 = 35*p - 78*p + 22*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15 = 8*f - 3*f, 0 = 4*f - 4. Suppose 0*j = 4*z + w*j - 81, 3*z - 62 = -4*j. Let q = z - 9. Solve q*m + 5 = 0, 3*k = 5*k - m - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7\/30, 3, -123?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -635606 divided by -70?\nAnswer: 317803\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93159 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -51.0000054. Round u to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*u - 5*m, -8777*m + 8774*m - 54 = 3*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17524119 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - 2) - 1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2839 - -0.35063. Round c to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*n - 2 + 2)*(-1 + 1 - 2*n) + 1526 - 1526 - 863*n**2)*(1 - 1 - n) as t*n**2 + d*n**3 + h*n + c and give d.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7930004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:23 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0*f**3 + 3*f + 0*f**2 + 0 - 1\/12*f**4. Let w(q) = -4*q**2. Give w(s(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-5))\/(4\/(-20)). Let s = -26 - y. Let l be (2 - 1) + (-22)\/8. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.4, 14, 1\/234?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 51*z - 62*z + 22 + 68 - 8. What is p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85, -47, 23, 125, 259, 425?\n\"Answer: 16*h**2 - 10*h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 9*u - 9 = 0. Let a(h) = 0*h - 4 + 2*h + u*h + 0*h + h**2. Calculate a(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/10*(-10)\/2. Let p = 13 + n. Suppose p*w = 6 + 59. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -14, 3\/2, 3\/4, -0.3354, -2, -16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1292)\/(-28))\/((-38522)\/(-4532))\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 48 = -3*i. Calculate the remainder when 28 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24\/11*y**2 - 94\/11*y**4 + 0*y - 18\/11*y**5 - 128\/11*y**3 = 0. What is y?\nAnswer: -3, -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 101096*j**3 + 2555201398*j**2 + 5110099512*j + 2554999209.\nAnswer: (j + 1)**2*(j + 50547)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1012 - 6041\/6. What is the common denominator of i and 54\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2312*q**2 + 25*q**3 + 2232*q**2 - 4544*q**2.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.42 - -0.08. Let u be -4 - (28\/6 + -5). Let n = -71\/21 - u. Which is the fourth smallest value? (a) 3 (b) 1 (c) k (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4. Let h(t) = 1. Let r(l) = c(l) + 5*h(l). Let x be (-1440)\/(-256) - 3\/(-8). Let g(s) = 17*s + x - 21*s + 5*s. Calculate 2*g(k) - 11*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*z + 74*z - 416*z + 63*z + 49*z + 46*z + 71*z.\nAnswer: -50*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 28, 0.4, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176894 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u - 61. Let n(c) = 6*c + 30. Let x(m) = 7*n(m) + 3*s(m). Let q be x(-19). What is the highest common divisor of q and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37*0.0164\nAnswer: -0.006068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/56) + -1. Suppose n + 2*n = -z. Let j = n + 9. Solve 2*b - 9 + 1 = j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-55)\/(-22))\/((-10)\/(-4)). Let f(p) be the third derivative of -2*p**2 + 0 - 1\/8*p**3 + 1\/240*p**x + 0*p - 1\/48*p**4. Solve f(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (6 + -7) - 0. Let f be (q - 0)\/(7 + (-21)\/(-6)). Let m = -1.3 + 0.6. What is the second smallest value in m, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*m + 3*v - 14, 5*m = 4*v + 101. Solve 8*s - 29 = 5*u + 9*s, 0 = 5*u - s + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(15) - sqrt(15))\/sqrt(3) + 0)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-904.93.\nAnswer: -1809.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*(-48)\/(-1368))\/((-56)\/6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8 and (32\/(-44) - -1)*-6?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.071 (b) 0.065 (c) 2 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.151106 and -252975.\nAnswer: -252975.151106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aa - -5?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 200\/(-520)*2\/(-5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.13 + -20. Let z = w + 4.87. Let j be 2\/(-1) - (-2)\/3. Put 0.4, z, j in ascending order.\nAnswer: j, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20213 - -214?\nAnswer: -16666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -150. Let i = n - 66. Let t = 0 + 5. Solve -6 = -t*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-9\/4))\/l)\/l**(-39)*l*l*l*l**(5\/2)*l\/(l**30\/l) assuming l is positive.\nAnswer: l**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109494857 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 9 + -20 + -13 - (-1 + -2) - 103\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -19*t - 20. Let o be b(-20). Suppose -5*g - 3*x + 54 + 562 = 0, o = 3*g + 5*x. What is the greatest common divisor of g and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 3*o - 2. Let p(k) = k**2. Determine -m(n) - 4*p(n).\nAnswer: -n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 5263032\/(-64) - 3\/24)\/(-1).\nAnswer: 5, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**4 + g**3. Let o(u) = 5*u**4 + u**3 + 8*u**2 + 4*u. Let n(w) = 12*j(w) + 3*o(w). Suppose n(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {j: 2, u: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 11 + 877*q - 26 + 7 to b*q + h and give b.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6848868 (base 9) to base 10\nAnswer: 3693824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egk when three letters picked without replacement from {x: 6, u: 2, k: 5, i: 1, e: 1, g: 1}.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2529 divided by -1\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 39. Let g = p - -7.4. Which is the third smallest value? (a) 5 (b) 0 (c) 0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 3*h**3 - 4*h**2 + 5*h - 1. Let s be m(8). Let y = -1 + s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 129 = -2*f + 102, 3 = -x. What is the nearest to 0 in -1\/8, 2\/21, f, 0.44?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126035 is divided by 674?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 128*4\/(-4)*-2. What is the greatest common factor of 576 and w?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*l = -422*l + 213794634. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 188\/(-11) + (-8796)\/(-8063)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 3, b: 4, r: 2, w: 2}. Give prob of sequence ru.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 7 - 6) + 6 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**2 - 2*u + 5. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 1\/3, -0.2 in increasing order.\nAnswer: -0.2, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3 = 0, 36*d = -2*k + 37*d - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -6 + 0*t**2 + 7\/3*t**3 + 12\/7*t**7 + 0*t + 0*t**6 + 0*t**5 + 0*t**4. What is the third derivative of d(j) wrt j?\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + ((sqrt(98)*-2 + sqrt(98) - sqrt(98) - sqrt(98)) + 2 - sqrt(98) - sqrt(98)))*6)**2*-3 + (2 + -4 + -2*sqrt(98) + -2)**2.\nAnswer: -169368 + 12208*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -6\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 105*h**2 - 964*h - 5. Give o(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/8 + 3*v**2\/8 + 51*v\/8 + 45\/8.\nAnswer: -3*(v - 5)*(v + 1)*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -176\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 greater than -352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Let a = 0 - i. Let g be (-18)\/(-12)*5\/(-3). What is the nearest to -1\/2 in 0, g, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/((-1)\/((12\/4)\/(-3))). Put 0, u, 2 in descending order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/39018 and 7\/574122.\nAnswer: 4018854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let n(m) = 2*m**2 - 9. What is n(q(o))?\nAnswer: 2*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.147 + -0.053. Is s equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.096 + 0.396. Let u = -11\/6 + 3\/2. Sort -2, u, f in descending order.\nAnswer: f, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9))**24\/(p**(-5\/2)*p**(2\/3)*p) assuming p is positive.\nAnswer: p**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2829.3853 plus 0.73?\nAnswer: -2828.6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 562082 and 7871.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 161, 501, 1163, 2255, 3885, 6161, 9191?\nAnswer: 13083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/5 + 64*q**4\/5 - 654*q**3\/5 + 1872*q**2\/5 + 2592*q\/5 = 0. What is q?\nAnswer: -1, 0, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.7, 331, -1?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ssppppssss.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152952 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -47\/25681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -32*q - 3. Let d(o) = 101*o - 23. Let i(s) = 503*s - 137. Let u(n) = 34*d(n) - 6*i(n). What is -3*u(r) - 40*x(r)?\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12677 and 11.\nAnswer: 139447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15567, -31625, -47683, -63741?\n\"Answer: -16058*s + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082777kg in nanograms?\nAnswer: 82777000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -35, -76, -133, -206?\n\"Answer: -8*m**2 - m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -205, -207, -209?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/30*45\/6. Suppose -x = -g*k - 5*x + 160, -4*k = -2*x - 228. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/5 and 49\/2034.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 25*h - h**2 + 9 - 9.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2795*m**3 - 4378*m**3 - 1289*m**3 + (1 - 1 - 1)*(0 - m**3 + 0) to c*m + l + z*m**3 + k*m**2 and give z.\nAnswer: -8461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25845*j - 1269 = -25868*j + 51666*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.674 and 5.\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*((2*h - h + h)*(3 + 0 - 1) - 23*h + 17*h - 14*h).\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194724350?\nAnswer: 2, 3, 5, 884981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 660.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(272))**2 - 4*(5 + sqrt(272)).\nAnswer: -48*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(1 + (sqrt(200) + 4 + sqrt(200) + 2)*-6)*-6*-2)**2.\nAnswer: 272160000*sqrt(2) + 972810000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1728348 + -13?\nAnswer: 1728335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 13067892 - 9*t - 13067892.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 11 - 19 - 10*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 + 472*h + 949. Calculate k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 25*u = -7*u. Let k(d) be the first derivative of -1\/3*d**3 + u*d**2 + 0*d + 5. Let n(x) = -9*x**2. Calculate k(n(v)).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, -168, -389, -590, -765, -908, -1013?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193068\/4 - (2 + -3)\/((-1)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:10 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -245, -247, -277, -347, -469?\n\"Answer: -2*v**3 - 2*v**2 + 18*v - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 1208800*y - 91324840000.\nAnswer: -4*(y + 151100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1002 divided by -3.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 18*y**5\/11 - 3272*y**4\/11 + 42368*y**3\/11 - 10752*y**2 = 0?\nAnswer: 0, 4, 88\/9, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2504*d**6 - 1252*d**2 wrt d?\nAnswer: -300480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/626 and 9\/11.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/4 and (5 + 6)*2\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 137 + 232 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3992, -7973, -11944, -15905?\n\"Answer: 5*x**2 - 3996*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/4 - 231*t**3 + 160083*t**2\/2 - 152*t + 1. Factor g(o).\nAnswer: 3*(o - 231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.29 + 10.59. What is the fourth smallest value in -2\/5, -2, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 14 (c) -10 (d) 2\/19 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1707840 and -97\/189760.\nAnswer: 1707840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -515963\/197777 + 1\/8599. What is the third smallest value in 0.08, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(36)\/sqrt(2) - (sqrt(50) + sqrt(2) + -2 - (-1*sqrt(2) + -3)))*-3)**2.\nAnswer: 720*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12 + -39 + 39?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -57667.\nAnswer: -57667.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*w - 21*w + 22*w - 30 + 18*w with respect to w.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(-1*sqrt(720) - sqrt(720)) + -5 + -4)**2.\nAnswer: 432*sqrt(5) + 2959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -35*j + 190. What is k(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 706787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/o**(3\/8))\/(o**(-3\/7)\/o**4) assuming o is positive.\nAnswer: o**(787\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 1 - 5 - 5 - d. Suppose 2 - 37 = -5*r. Let x be c(r). Solve 0 = q - 6*q + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-4)\/(-2))\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194496 and 630086.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfffffpff. Give prob of picking 3 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-15 - (-2 - 4)) + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j**2)**5\/(((j\/(j\/j**(-4)))\/j**7)\/(((j**0*j)\/j)\/j**6)) assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -5120?\nAnswer: -5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -51, 5, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/8? (a) -3 (b) 3\/4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30893?\nAnswer: 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000243 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866*h + 852*h + 462*h.\nAnswer: 2180*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhlmlhllllyymmhm. What is prob of sequence yly?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 - 395 - 392 + 791.\nAnswer: 10*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11097, 22109, 33137, 44187, 55265, 66377, 77529, 88727?\nAnswer: 99977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 4. Let q(m) = 15*m. Determine q(h(u)).\nAnswer: 105*u + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-30)*(21 - 1). Suppose 3*v = -v + c. Find the first derivative of v*s**4 - 2*s**4 - 3 - s**4 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/(u\/(u*u*(u\/u**5)\/u*u*u*u))*u*u\/(u*u*u*((u*u**(-9))\/u)\/u*u)*(u\/((u*u**(-6\/7))\/u))\/u)**(-3\/28) assuming u is positive.\nAnswer: u**(45\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13562771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-3)))**23\/(k*k*k*k**(2\/5)*k*k\/((k**(3\/7)*k)\/k)))**(8\/7) assuming k is positive.\nAnswer: k**(17928\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20862, -20013, -19164, -18315, -17466?\nAnswer: -16617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539883 and 69012?\nAnswer: 4139822844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 198, 396, 594?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84701*f**2*h + 5*f**2 - 19*f*h - 486*f + 1014 wrt h.\nAnswer: -84701*f**2 - 19*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**4 - t**3 + t**2 + 1. Let v(h) = -3*h**4 - 64*h**3 + 6*h**2 - 93*h + 6. Let r(s) = -6*a(s) + v(s). What is the second derivative of r(j) wrt j?\nAnswer: 36*j**2 - 348*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 13*b + 6. Let p be i(9). Suppose -2*l + 58 = -4*l. Let q = p + l. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*r = -9, 4*f - 5*r = 2*f + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/748*110\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622954800 a multiple of 8700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 227, 339, 451, 563?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuushhhsjjuhhjjuh. Give prob of picking 1 h and 2 u.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 9 + 7. Sort -2, m, 4 in decreasing order.\nAnswer: 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 114*m**3 - 408*m**3.\nAnswer: -522*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**2 - 9*z - 17. Is v(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 602013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992.664 rounded to the nearest ten?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1804439?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -18. Suppose 0 = -w*t + 626 + 450. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58, -63, -72, -85, -102, -123, -148?\n\"Answer: -2*c**2 + c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 2, 10, 67, 3 in decreasing order.\nAnswer: 67, 10, 4, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*(sqrt(76) + sqrt(76)*3))\/(-3*sqrt(36)))**2.\nAnswer: 2432\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232711 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 14) to base 11.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 17*i - 6 + 1\/6*i**4 - 1\/3*i**3 - i**2. Suppose 2*w + 5*a = 14, -3*w - 5*a + 6 + 10 = 0. Give l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -48*c**2 + 10*c + 23. What is o(-2)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d**4 + 6*d**4 + 23*d**4 + d**3 + d**4 - d**3 + (-2*d**2 - 2*d**2 + 6*d**2)*(d**2 - 3*d**2 + 4*d**2).\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 139 - 43 = -4*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 75*f**4 - 290*f**3 + 420*f**2 - 200*f = 0 for f.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.2. Let k = -0.27 - 2.13. Let s = -0.4 - k. Which is the closest to x? (a) -1 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 + -3.1. Which is the smallest value? (a) 4 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (8 + -7 - (15 + (4 - 11)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18275, 71298, 159067, 281582, 438843?\nAnswer: 630850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + s - 2)*(4*s - 5*s + 2*s) - 16*s - 16*s**2 + 16*s + (-4*s + 0*s + 2*s)*(2*s + s + 4*s) as g*s + i + q*s**2 and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*sqrt(500) + 3 + sqrt(500) + 1 + -3)**2.\nAnswer: 160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40867723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.3 - 0.3. Let s = 7 - r. Let u = -0.39 - -1.39. Which is the third biggest value? (a) -2\/15 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2976465*d**3 + 5979840*d - 3 wrt d.\nAnswer: -17858790*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynnn when four letters picked without replacement from {q: 2, y: 7, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21444.9456 - -21445. What is the third biggest value in 5\/2, 3, -2\/15, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 5*y = -3*c - 25, 2*y - 2 = 2*c. Suppose 3*p - 5*w = -2*p + 450, -c*p - 4*w = -210. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/12*((-68)\/51)\/((-4)\/(-144)*16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2. Let m be w(-1). Suppose 2*r + 0*r - 96 = m*n, 2*r - 3*n - 100 = 0. Suppose -3*t - 5 = -r. Solve 0*y + 4*y = t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320620.\nAnswer: 2, 5, 17, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*y = 28, y = 6*y - 5. Let l be 8\/f + (-13)\/(-3). Let t(a) = a**3 - 5*a**2 + a + 1. List the prime factors of t(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810 a factor of 169533942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 + 331. What is the third derivative of -z*m**2 + 5*m**3 - 15*m**3 - 21*m**2 - 3*m**3 wrt m?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25649.58 months to decades.\nAnswer: 213.7465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/708 and -87\/20.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r*r*r**8*(r**4)**8)**(-6\/11) assuming r is positive.\nAnswer: r**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**3 - 7*v**2 - 20*v + 35. Give b(4).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 3*p**4 + 0*p**4 - p**4 + 4*p**4 - 4*p**4 + (-4 + 4 + p**3)*(0 + 0 - 2*p) + 3*p**4 + 3*p**4 - 5*p**4.\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0 (b) 2\/5 (c) 55985\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946.963 times -0.128?\nAnswer: -249.211264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 112253267?\nAnswer: -112253276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 8*x**2 - 3*x**4 + 6*x - 58 + 60 as j*x**3 + g + q*x + z*x**4 + f*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13503337 is divided by 103.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.26 and -5.\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = 2*b, 2*w + 3*b = 50. Find the third derivative of w*a**3 - 21*a**4 - 19*a**2 - 4*a + 32*a**4 - 13*a**4 wrt a.\nAnswer: -48*a + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105088801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348215, 696263, 1044311?\nAnswer: 1392359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s - 20. Give h(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26919357*l*x**4 + l*x**3 + 8*l*x + 6*l + 117*x + 480 wrt x?\nAnswer: -323032284*l*x**2 + 6*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r**2. Let s(z) = -154*z + 154*z - z**2. Determine d(s(b)).\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 168?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2)*44\/6. What are the prime factors of (-1)\/22*-4 + (-4352)\/g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-70 - -5)\/(-5) + -3. Let m = 0.02 + -2.02. Let i = 141.8 - 142. What is the closest to i in x, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -64*c + 340. Calculate i(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107 + -2?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*n + 139, 4*n - 2*n - 79 = -3*i. Calculate the greatest common divisor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 15*d - 28. Let s be z(-9). Suppose -18*h + 19*h + 3*a = 16, -h - 5*a = -s. Let b be -1 - -14*(-1)\/(-11). Is b greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7297 + 8024. Round m to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 + -370. Let d(u) = 81*u**2 - 23*u + 17. Let l(z) = 27*z**2 - 8*z + 6. Let v(p) = c*d(p) + 17*l(p). Let i(w) = w**2. Give v(i(b)).\nAnswer: -27*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**2\/b))*b*b)\/((b\/((b\/(b*b\/(b**(-2)*b)))\/b))\/b))\/((b*b\/b**7)\/(b\/b**6)) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4330, -25998, -62112, -112672, -177678, -257130?\nAnswer: -351028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 7*o**2 + 11*o - 21. Suppose -3*x = 5*n - 21 - 22, 19 = 2*n + 3*x. Let p be g(n). Solve -2*t = -v - p*t, -12 = v - 3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 439*h - 16 = -434*h, 2 = 2*z + 2*h. What is the third biggest value in 0.2, 3, 0, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(-2*(-56)\/(-80))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179843.8 rounded to the nearest one hundred?\nAnswer: 179800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 390. Let w = d + -77. 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: 0.08 - -1179\nAnswer: 1179.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.45, -1.9 in decreasing order.\nAnswer: 1.45, -1.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:15 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1706484 + -35?\nAnswer: 1706448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3 + 9388*f**2 + 715496*f + 2711520 = 0.\nAnswer: -70, -4, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -384*v**4 + 6684*v + 598384 wrt v.\nAnswer: -1536*v**3 + 6684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 432\/(-54) + 2084\/2. Let p = z - 1032. Factor 4\/7*q**p + 0*q - 16\/7.\nAnswer: 4*(q - 2)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4\/7 + 3*j**3\/7 - 3*j**2\/7 - 3*j\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 3*l + 15 + 13 - 8. Let j be 4*((-114)\/12 - -9). Let w(h) = h - 4. Calculate j*i(r) - 11*w(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*o + 1020 = 0, 3*t - 5*t = -o + 2060. Let s = -535 - t. What are the prime factors of s?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -143. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 - x**2. Let v(p) be the third derivative of -7*p**4\/12 - 653*p**2. Determine m(v(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5499 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-74880)\/(-1092))\/(-160))\/(2\/182).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32487283*z + 32487285*z - 64974565*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = -2*a + 59, 4*g = -3*a + 106. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 8*m - 9. Which is the biggest value? (a) -5\/3 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:56 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**2 - 14*y + 1701. What is k(-15)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyufffyfuf. What is prob of picking 3 f and 1 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*u = -233*u + 60 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnsnbnvbbnbbvg. Give prob of picking 1 g and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28878018 divided by -740462?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Let v be 15\/6*w\/3. Solve -v*o = -2*n + 15, 3*n = o - 2*n + 26 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 3*l + l)*(-l**2 - l**2 + 4*l**2) + (-l - 6*l - 5*l)*(-23*l + 23*l + 8*l**2) to a*l**2 + t + w*l + p*l**3 and give p.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + a. Let j(w) = 30*w**3 - w**2 + 2*w - 20. What is -j(z) + t(z)?\nAnswer: -30*z**3 - 5*z**2 - z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337518668?\nAnswer: 2, 239, 353053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 - 7*n - 1. List the prime factors of y(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44517 - 89107 + 2*h + 44549.\nAnswer: 2*h - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -35. Let z = -20 - p. What is the third biggest value in z, -0.04, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5830197635 to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m*m\/(m\/m**(-6))*(((m*m\/(m**(-7)\/m))\/m)\/m)**(5\/8) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -10*2\/(-5). Suppose i*g - 476 = -170. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -0.2. Let f = -379.02 - -379. Let a = -0.07 - -0.37. What is the nearest to j in f, a, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 34*o**3 + 3*o**3 + 2 - 1 - 113*o**3 in the form j*o + r*o**3 + g + b*o**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -168, -183, -194, -201, -204, -203?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*g + 3, k = 3*g - 4*g - 1. Let u = k + 8. Solve 0*d = u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -82457?\nAnswer: 82438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.17, -1\/3, 5 in increasing order.\nAnswer: -1\/3, 0.17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40 = 17. What is the remainder when 26 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46367117*4\nAnswer: 185468468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 55 + 44 = 0. Solve -m*n - 20 - 15 = 4*l, -4*n = 5*l + 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.284 - -0.384. Which is greater: -2\/201 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*r, 5*b + 4*r + 30 = -0*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101121011111 + 12?\nAnswer: 10101121011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9*5)\/((-4)\/(-24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/4 - 3*u**2 - 7. Let q(p) = -4*p**2. What is s(q(j))?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 2, h: 3, t: 4, k: 4}. What is prob of picking 1 t, 1 q, and 2 k?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/3, -6081, -1.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 2, r: 1}. What is prob of sequence br?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544 or -545?\nAnswer: -545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5 - 27*s**4 - 3831*s**3 - 34821*s**2 + 3828*s + 34848 = 0.\nAnswer: -24, -11, -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10666\/31287 or 0?\nAnswer: -10666\/31287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4))\/sqrt(10) + (((sqrt(72)\/sqrt(6))\/sqrt(4))**2 - sqrt(3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 10*l + 2. Determine w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 239428.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 50\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -4*g + 55. Suppose 2*y - 5*a = -g, -5*y + 3*a - 105 - 68 = 0. Let d = y + 63. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/10 + 0 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y\/(y*y**9))\/y))*y**(-1\/2) assuming y is positive.\nAnswer: y**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90 and -1?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.4 (c) 19 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(5\/3 - 2). Let c = t + -3. What are the prime factors of c\/((-3)\/(-6)*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-21) - (-90)\/14. What is the third derivative of 5*a**2 + 15*a**4 + m*a**4 - 7*a**4 - 20*a**2 wrt a?\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2. Let m(n) = 55291606*n. Calculate a(m(r)).\nAnswer: -12228646776236944*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -10. Let b = -4 - t. Let l be (-928)\/704 + -6*2\/(-8). Does b = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.5 (c) 0 (d) 355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*i - f, -5 + 1 = -3*i - 2*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13271*t**4 + 760*t**3 - 146816080*t**2?\nAnswer: -318504*t + 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 3*n - 2. Suppose 0 = -24*f + 23*f + 328. Let w = f + -326. Calculate x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001607612 to 5 decimal places.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -127039 divided by -164\nAnswer: 127039\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -12, -0.2 in increasing order.\nAnswer: -12, -5, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 23*z + 18*z - 25, 5*z + 10 = -2*v. Solve 10 = i + 5*m, i - v*m + 2 = -6*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1854598, 1854559, 1854520, 1854481, 1854442, 1854403?\n\"Answer: -39*h + 1854637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 14 - 16 = -7*t, 5*k + 38 = 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) 2\/15 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 4*c - 3. Let v be y(-5). Suppose 0 = b + v*b - 300. Let l be 1160\/(199\/b - 2). Round l to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30268 and 124315.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18612\/81 + 4\/18. Suppose -9*a - q = -14*a. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 419 + 434 - 543*l - 855 as j*l + v and give j.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(4\/3))**(1\/38)\/(z**(-1\/2)\/(z\/(z\/z**(-15\/7)))) assuming z is positive.\nAnswer: z**(-631\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 278261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + j)*(j**2 - 2*j**2 + 2*j**2) - 2*j**3 + 4*j**3 - j**3 - 4*j**2 + 851*j**3 + 4*j**2 - 38*j**3.\nAnswer: 815*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10c (base 15) to base 6\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11763 * -3.287.\nAnswer: -38664.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 14085474.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 + 7 + -13 - (-196)\/2 and 450?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-15)\/(-6)*2. Suppose 40 = t*u - 4*y, -3*y = y + 20. Differentiate 3*j**2 - 5 + 4 + 0 + u with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 51*u**3. Let c(m) = 228*m**3 - 5*m**2 - 233*m**3 + 5*m**2. Suppose 0 = r - 2*z + 2, 3*r - z = -2*r - 10. What is r*h(d) - 21*c(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h. Let w be j(2). Let z(k) = k**3 + 21*k**2 + 37*k - 14. Let s be z(-19). Put 4, -2, w, s in decreasing order.\nAnswer: s, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**3 - 43202496*n**2 + 259215060*n - 345620112 = 0.\nAnswer: -14400838, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 994575 and 8990958.\nAnswer: 224773950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 2240250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3114)\/(-11072))\/(2\/(-3)*27\/12).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13407, 13404, 13399, 13392, 13383?\n\"Answer: -t**2 + 13408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -3. Let i(c) = c**2 - c. Let n(v) = -v**3 - 7*v**2 - v + 1. Let t(s) = 3*i(s) + n(s). Let o be t(x). Solve -y - 4 = 0, -4*y - 27 - 9 = -o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 - 2)*1. Let p(s) = 148*s**3 + s**2 - s - 1. Let y be p(g). Suppose -r = -4*r + y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(-2)\/(-4)*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165600 and 85352.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -48. Solve -4*d - 22 = 2*k, 5*k - 6 + g = -2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 719*v**2 + 725*v + 5. Let n(r) = -359*r**2 - 362*r - 3. Let z(d) = -5*n(d) - 3*p(d). What is the second derivative of z(h) wrt h?\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36389850 a multiple of 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {l: 7, k: 4, m: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/9, -0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5737 + 1970 = -319*j - 48*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -6) + -7 + (2 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/24)\/((-19116)\/(-486)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 216790 to the nearest one thousand.\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -350*x**4 - 12*x**2 - 1796*x**3 + 10*x**2 + 3*x + 1794*x**3 - 1 as q*x**2 + c*x**4 + t*x**3 + k + f*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((243\/90)\/9)\/((-3)\/(-32)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374 - -339) + (0 - -30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377 divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.134 - 7.134. Sort 4, -5, h in descending order.\nAnswer: 4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from php. Give prob of sequence ph.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 837*d - 12485. What is v(12)?\nAnswer: -2441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 608*w - 1822\/3.\nAnswer: -2*(w + 1)*(w + 911)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2124637, -2124646, -2124661, -2124682?\n\"Answer: -3*b**2 - 2124634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 1:52 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.3. Let s be 1 - 2*2\/(-8)*-8. What is the closest to 2\/9 in c, s, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -348147.045.\nAnswer: 348152.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -1\/3*c**3 - 1\/4*c**2 - 1\/8*c**4 + 86 + 0*c. Factor b(y).\nAnswer: -y*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -7.\nAnswer: -7, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t. Let g = 161\/40 - 45\/8. Calculate the common denominator of (-35)\/(-6) + t\/1 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 1059. Let a(o) = 3*o + 353. Let k(q) = 7*a(q) + 2*h(q). Let y = -9 + 9. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n - 4586120 = n. List the prime factors of n.\nAnswer: 2, 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 6484.\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1545124692 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4903654*0.5\nAnswer: -2451827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -403*f**7\/7 + 593*f**3\/3 + 498. Find the third derivative of k(g) wrt g.\nAnswer: -48360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7347 + 7843. Calculate the highest common factor of x and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (189 + 105 - 51)*(-z**4 + 4*z**4 + z**4) in the form y + j*z + r*z**4 + t*z**2 + c*z**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/120 and -17\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -46. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7400909\/22120 + -27\/3160. Let g = -334 + n. Find r such that 0*r - g + 4\/7*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 58?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate 4824\/402*3\/63.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m = 12*m + 221. What is the smallest common multiple of (9 - (9 - m)) + -1*1 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (145\/725)\/(1\/(-1)*(-3)\/5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3\/12)*2. Suppose 5*y = 4*d - 95, s = -2*y + 2. Suppose 5*r - d = 2*w, 2*w + 0*w + 16 = 4*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 502125558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 4*f**2 - 6*f - 3. Let t be s(-5). Suppose 0*u = -4*w + u, t*w - 5*u + 18 = 0. Solve 0 = 3*v - y + 3*y - 12, 3*y = 5*v - w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -730*j + 44. Let z(h) = -730*h + 55. Let t(x) = -5*u(x) + 4*z(x). Let a(y) = 2*y. Give t(a(p)).\nAnswer: 1460*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 765093209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18169669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2*q**7\/105 - 7*q**3\/6 - 22*q**2. Find the first derivative of f(p) wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t + 87. Let j be g(-8). Let y(i) be the first derivative of 0*i**3 + 10*i - 7\/4*i**4 + 0*i**2 - j. Differentiate y(f) wrt f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1340 + 55*s**4 + 9*s + 5*s**2 - 18*s**4 - 6*s - 30*s**4 - 21*s wrt s?\nAnswer: 28*s**3 + 10*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*s + 105. Is 4\/1595 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 + 129. Let a = b - -174. What is the nearest to 2 in a, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 + -6 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 2505?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-55) + 72\/(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -34?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5051 - 5016. Suppose 0 = n + 3*n + j - 688, 0 = -3*j. Calculate the remainder when n is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -83.05.\nAnswer: -76.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 2*z + 125. Let n(k) = 2*k + 3*k**2 + 2*k + k - 2*k**2 + 3. What is n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 1380 = 0. Find the common denominator of 0 + n\/48 - 2 and 49\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1020 - -1020.1. What is the biggest value in 1, -1\/4, q, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 2*a + 83. Let g be y(10). Let h(b) = -b**2 - 7 + 2 - 3*b - g + 6. What is h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 27 - -41) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:51 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*c + 3*s, 5*s = c - 32 + 1. Calculate the greatest common divisor of c and 2457.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i - 2. Let x = 186 - 189. Give y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -4.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1613037*g + 3 - 5 - 1613022*g + 2.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 1)*(p + 0*p + 0*p) - p**2 + 0 + 0 + (2*p + 1 - 1)*(5*p + 0*p - 3*p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -23. Which is the biggest value? (a) 0.1 (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -m + 5*w - 2, -5*m + w = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32242?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = -w, 5 = -4*i + 21. Let t(s) = 22*s**3 - s**2 + 2*s - 1. Determine t(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, 2 in ascending order.\nAnswer: -50, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*2 - (sqrt(143) + (sqrt(143) - (5*sqrt(143)*-2 - sqrt(143)))))\/((sqrt(11) + sqrt(11)*5*-2)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 q when four letters picked without replacement from gtggqttgqttgg?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - t + 65 = 52, 0 = -5*x - t + 37. Solve 5*b = -7*l + x*l - 12, -3*l + 6 = -5*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 4*g. Is 3 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1603 + 1602.5. Put -0.2, r, 33 in ascending order.\nAnswer: r, -0.2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from lllllllllllnllnlll?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 108. Calculate the greatest common divisor of k and 1608.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176935859 to the nearest integer?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25 greater than or equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21667060.9 to the nearest 10000.\nAnswer: 21670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -41\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 50860791\nAnswer: 50860790.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 34 + 9)*(2 + 2*o - 2).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 140759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + (-1)\/4. Let f be ((-6)\/8)\/(3\/(-852)). Let a(u) = -f + 2*u - u + 216. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (804\/81003)\/((6\/(-4))\/((-780)\/80))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243*k**4 + 3*k**2 + 117*k wrt k.\nAnswer: -5832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*v + 10 = 260, -4*v + 188 = 3*s. Suppose -65*f + s*f = -90. Suppose -4*p + f = -198. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12604550 and 1750?\nAnswer: 63022750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12\/32*(-36)\/(-27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 + (-5 + 2 - (-1 + 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o. Suppose o*w - 4*w = 11*w. Solve 2*t - 2 = 0, 3*r - 3*t = -w*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 72*t**2 - 2509*t\/3 + 908.\nAnswer: (t - 227)*(t - 1)*(t + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*b = -3, 4*j - 3*b = 5*j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479554092?\nAnswer: 2, 3, 29, 459343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8657 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360989 and 4?\nAnswer: 1443956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -939, -938, -937, -936, -935?\n\"Answer: u - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let y be n(-2). Let u be y\/(3\/(-6) + 1). Factor -x**5 - x**2 - 4 + x**u + x**3 + 4.\nAnswer: -x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n + 97 - 435 - 282 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*-3*(-7)\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 12728565.\nAnswer: 12728564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 5722?\nAnswer: 62942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4141773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k + 5. Suppose 12*l = 9*l + 6. Suppose -11 = -l*s + 3*s. Let m(g) = -7 + 13 - 7*g - 9. Give s*m(o) - 6*h(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9541 + 4*g**2 + 10423 - 3*g**2 + (-5 + 1 + 2)*(2*g**2 - 2*g**2 + 4*g**2) - 2*g + 2*g - g**2.\nAnswer: -8*g**2 + 882","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19858 + -0.10858. Which is smaller: n or -24.9?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 4, n: 4, o: 12}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1 - 2*y**3 - 2*y**3 + 5*y**3. Suppose 6*s - 2 = 5*s. List the prime factors of w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 781 and 9329078?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 62. Calculate the highest common factor of 162 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 3*u**2 - 5*u + 1. Let x be p(7). Let i be x\/(-21) - (-8)\/(-28). Suppose -s = -i - 26. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*f - 6697 - 8788 = 14378 - 4942 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + (8 - -3932) - 12 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8305137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:59 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 155.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 13. Let j be n(-4). Is j not equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 39*p**3\/2 - 3*p**2 - 24*p. Let z be m(1). Suppose 7*c - 456 = z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.01, -3\/17, 5, 1 in descending order.\nAnswer: 5, 1, 0.01, -3\/17, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (48\/2 - 2) + 2 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {k: 2, n: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 2, c: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.5, 1\/6, 75, -44, -4, -5\/4, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) - -2*sqrt(117))*2)\/(6*-1*sqrt(9) + sqrt(27)\/sqrt(48))*4.\nAnswer: -192*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*o - 36, -2*o + 1 = 4*g - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 2230085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5 + 338*f**4 + 22764*f**3 + 290312*f**2 + 899056*f + 813504 = 0.\nAnswer: -38, -12, -2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -42, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7542.513 microseconds to seconds.\nAnswer: 0.007542513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*g = 17, -2 + 8 = 3*g. Suppose 3*k = -n + 10, -k + 0*k + 4*n = 1. Suppose k*u - 846 = -j*u. What are the prime factors of u?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = -5*d + 2*t, 5*d - 9 = -t. Let n be (-11)\/3*4*9\/(-48). Is d at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/105 + 113*m**4\/14 - 680*m**3\/21 + m**2 + 480. Factor n(y).\nAnswer: 4*(y - 1)*(y + 340)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-637)\/21)\/(-7) + 3 + -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -8*k + 286 - 98, k = 4*a + 41 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + r + 7 = -4*d, -2*r - 7 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-35))\/(6\/21). Suppose 0 = m - c - 3. Put m, 3, -2 in increasing order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 660, 891, 1198, 1581, 2040?\n\"Answer: 38*t**2 + 117*t + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r**2. Let o(s) = -6628171*s**2. Calculate n(o(t)).\nAnswer: 966518317715302*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54761.\nAnswer: 7, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 30, 0, -67.\nAnswer: -67, 0, 30, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 12*u + 2. Let k be b(10). Solve h + 2*d + 3*d - k = 0, -3*h = 3*d - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326471587 * -0.1.\nAnswer: 32647158.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 - 14512*m + 126689. What is n(-1218)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d*d**(-2)*d)\/d*d)**3 assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*f + f + 10, 5*f - 4*j = -10. What is the biggest value in f, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -10. Let o(v) = -v**2 + 9*v - 4. Let b be o(h). Suppose 20 = b*d + 4. Solve k = -k + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*l - 10, -4*l + 456*a = 460*a + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16649230 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 186 = 4*b. Let a = -21 - 3. Let y = a - -48. What is the highest common factor of y and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000173836 rounded to 6 decimal places?\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 23*v**2 - 10. Let o(g) = -61*g**2. What is a(o(x))?\nAnswer: 85583*x**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giqrrqriqgrqrrrr. Give prob of picking 1 r and 3 q.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1136708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + sqrt(320))**2 + sqrt(5) - 5*(0 + sqrt(5)).\nAnswer: -36*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let n(i) be the second derivative of -4*i + 0*i**2 + 0*i**3 + 0 + 2\/3*i**4. What is w(n(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 7511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(8680\/(-924)))\/((-4)\/20)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10330 or 0.1?\nAnswer: -10330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 - 120080*k\/13.\nAnswer: 2*k*(k - 60040)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 m when four letters picked without replacement from {v: 2, y: 4, b: 1, q: 1, n: 1, m: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-216)*1\/(4\/(-60))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8307 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 11:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024656875.\nAnswer: 5, 6439451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from xqxqqqaqrarqaxqpqq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 4*t**2 - 2*t + 1. Let s be p(2). Suppose 9*r - 12 = s*r. Suppose 0 = -r*d - d + 24. Calculate the lowest common multiple of 5 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 146 = 4*o - y, 0 = 3*o - 5*y + 130. Let g = -48 - o. Let r(q) = 7*q**2 - 8*q**2 + 0*q**g. Let i(u) = -30*u**2. Calculate r(i(t)).\nAnswer: -900*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-5)*3\/(-216)*2*4928\/(-616)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23934, 48741, 73550, 98361, 123174, 147989?\n\"Answer: t**2 + 24804*t - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5))**38)**(7\/5)\/(l**9\/(l*l*l**(-4))*(l**0)**(-5\/3)) assuming l is positive.\nAnswer: l**(-541\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 0.1, -2, -9\/35, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*o**4 + 189*c**2*o + 4*c*o**2 - o**5 wrt o.\nAnswer: -24*c**2*o**2 + 8*c - 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5341131.9 milliseconds to hours.\nAnswer: 1.48364775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 + 0*t - 1\/8*t**4 - 176*t**2 + 1\/3*t**3 - 1\/60*t**5. Determine y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**3 - 4*j**2 - 4*j - 3. Let d be 3\/5*(-5)\/(-2)*2. Let z(a) = -5*a**3 - 3*a**2 - 3*a - 2. Give d*o(s) - 4*z(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1. Let w(b) = -4 - b - b + 0*b + 4*b. Suppose 3*z + 75 + 57 = 0. Let l = 49 + z. Calculate l*x(o) + w(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 4*s - 12. Let x be g(8). Let o = -40 - x. Solve 3*a - 2*t + o = 1, 0 = 2*a - 2*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 1667*i + 0*i**2 + 6972 - 3486 - 3486.\nAnswer: -3*i**2 + 1667*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 31 + 6*u**2 + 16.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/5040 + i**6\/80 - 46*i**5\/15 - 26*i**2. Let s(t) be the third derivative of m(t). Let w(k) = 3*k**2. Give w(s(j)).\nAnswer: 3*j**2 - 54*j + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -995*k + 7. Let p be w(-5). Let f = -49777\/10 + p. Calculate the common denominator of f and 91\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116615.\nAnswer: 5, 423323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*f + 21, 0 = 2*j - 2655*f + 2656*f - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5363 - 5358. Solve 8*o = 11*o - 5*m - 22, -i*m + 2 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 28. Let i be 7\/((-35)\/n)*1. Let a be (3\/i)\/(24\/(-144)). Calculate the highest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-5)\/(-18)) + (-3)\/5. Suppose -6*w + t - 11 = -2*w, -t + 7 = -p*w. Is 3\/((-1167)\/294 - w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488298300 rounded to the nearest 1000000?\nAnswer: 488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/96 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1*(-2 + -1). Suppose v*i - 4*i = -1. Solve -3 = 2*r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 6. Let h be p(0). Let v = -2 + h. Suppose v*i = -2*o + 36, 3*o - i - 68 = -0*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4349, 4340, 4327, 4310?\n\"Answer: -2*z**2 - 3*z + 4354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 = -5*i + i, 4*i - 12 = 3*f. Suppose -121*a + 241 = -22 + 21. Solve 2*k + 2*g - 6 = 0, 0 = -i*k - 4*g + 9 + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278 * 3201.\nAnswer: -889878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, 4, -227.\nAnswer: -227, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -197, -533, -1011, -1631, -2393?\n\"Answer: -71*y**2 + 19*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/10)\/((-19)\/(-95)). Suppose -b = 3, w + 8 = -5*b + i*b. Solve -o = -4*h + w + 11, 4*h + 3*o = 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 4 (c) -24 (d) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4296*t - 4301*t - 36*r = 128, -4*r = 5*t + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 124?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8898*h**2 + 172*h**5 + 8898*h**2 + h - h**5 - h + h**5 - 4*h**5 + 2*h**5 + (h**4 + 3*h**3 - 3*h**3)*(-1 + 1 - h).\nAnswer: 169*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -58 (b) 2\/3 (c) 0 (d) -3 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -647 or -648?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -216) + 2 + -3.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quqh when four letters picked without replacement from hsqurqsqqr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3061\/2793 - 9\/49. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*b - 458 = 0, -3*s = -3*b + 5*b - 346. What is the highest common divisor of 168 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:13 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1212, 1, 547 in descending order.\nAnswer: 1212, 547, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 88?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**6\/280 - 2*q**5\/35 + 3*q**4\/8 - 9*q**3\/7 - 3*q**2\/2 + 41. Let l(s) be the second derivative of j(s). Solve l(z) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32104377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 208 = -0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 + 1216. What are the prime factors of y?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141 - -149 - (1 - (-4 + -1 + 19)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((585\/(-234))\/((-10)\/(-6)))\/(-105). What is the fourth smallest value in h, -2, -0.1, 3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2959 and 47719255.\nAnswer: 524911805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:33 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.862 + 2.6. What is h rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 145056064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*o - 4, 7 = 46*w - 48*w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*c - 57*c = -140. Sort c, -12, 11.\nAnswer: -12, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 747*s**3 + 45366*s**2 + 141372*s + 95256.\nAnswer: 3*(s - 126)**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 48151*l - 537. Let x(o) = 1070*o - 12. Determine -4*r(v) + 179*x(v).\nAnswer: -1074*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -2. Let a = 33\/4 - 8. Let z = 576\/5 + -116. Sort a, z, x.\nAnswer: x, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 100. Solve -12 = 2*r - l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40267606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -269.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -5 (b) -2 (c) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 3*c + 24. Let y be n(8). Let b = y + -176. Let j = -88 + b. What is the greatest common divisor of j and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549352 - 2 - 1029\/(-147) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -196 or -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -40. Let p = y - -6. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*4\/(-6). Let o be 3*w - (-54)\/9. Suppose -o*r + 14 = -2*b, r + b = -0*r + 3. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhyy when four letters picked without replacement from hgyghgygyygyyhyghhyg?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5)*-4*-1 - sqrt(5)*1*-4).\nAnswer: -5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -4 (b) 2\/7 (c) -5\/2 (d) 1\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(405) + 0 + 2*(sqrt(5) + 2))**2 - (((sqrt(405) + 1)*-1)**2 + (sqrt(405) + -1 + -1 - sqrt(405)) + sqrt(405) + sqrt(405))) + 5.\nAnswer: 52*sqrt(5) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 2*x - 840. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwfhwwswhhkkwfwww. What is prob of picking 2 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from dddegdddd?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 + -0.1?\nAnswer: 2579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.148 and 21406.\nAnswer: 21406.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*k = -75, 10*w + 303*k = 299*k - 60 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-2)\/(-13) + 0. Let s = -56 + 117\/2. What is the smallest value in s, m, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15. Let i = -15 - -18.3. Let f = 6 - i. Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 87 - 82 = 0. Let a(r) = -14*r. Let t(g) = -g. Calculate c*a(h) + 6*t(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 87 = d, 3*d - n = 269. Let g be (d\/(-75))\/(2\/(-5)). Solve -g = z - 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b = 61*b - 15. Solve -9 = -b*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5, v = -4*h - v - 22. Let t = -2851 + 2957. Calculate the remainder when t is divided by 36 + h + 0 + 3.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1*35 - 3)\/1)\/(-2). Solve -z = 2*m + 5*l, l = -5*m - 19 + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaakbam. What is prob of sequence ab?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 26 - (-2 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 7*a - 17*a - 14*a - 25*a. Let s(k) = -3*k. Calculate l(s(q)).\nAnswer: 120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45, 95, 145, 195, 245?\n\"Answer: 50*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y + 2. Suppose 4*z - 3*v = -6*v - 7, -5 = v. Let s be a(z). Let k = -99\/215 - 6\/43. What is the nearest to s in -0.5, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89763271*a**6 - 843*a**2 + 33*a + 385 wrt a.\nAnswer: 10771592520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i = 134*i - 195 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - -1a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:32 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvqrqvzn. Give prob of picking 1 m, 2 q, and 1 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (0 + -2*sqrt(847))**2 + (sqrt(847) - -3*sqrt(847)*-1)).\nAnswer: -88*sqrt(7) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(11\/2))\/a**(1\/8))**11)**(2\/5) assuming a is positive.\nAnswer: a**(-407\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u - 2*u)*(-17*u + 16*u + 20 + 11 + 29).\nAnswer: 7*u**2 - 420*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -12 - (-11 + (9 - 21) + 5)) + 2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(81*3410\/1116))\/(2\/(-54))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58278?\nAnswer: 2, 3, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1976, -3955, -5932, -7907?\n\"Answer: l**2 - 1982*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 + 3 + -4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sla when three letters picked without replacement from saasslsssssssv?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 153*n**3 + 3110*n**2 - 6993*n + 2738.\nAnswer: (n - 37)**2*(n - 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)\/3*(-1)\/3. Suppose 5*s - 9*s + 1384 = h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*o + 3*f + 51, 5*o + 20 = 2*f. Let t = -31 + 22. Let l = o - t. What is the remainder when 4 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/207)\/((1\/((-21)\/(-7)))\/(20\/(-8))).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2545309*g**4 + 7*g**3 + 2*g**2 - 7516880*g - 6 wrt g?\nAnswer: -30543708*g**2 + 42*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00658646 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-6)\/(-15))\/((-12)\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f*f)**(-7))**33 assuming f is positive.\nAnswer: f**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77) - (-6*sqrt(77)*-2 - sqrt(77) - sqrt(77))) + sqrt(77) - sqrt(77)))*2)\/(sqrt(33)\/(sqrt(36)\/(sqrt(12) + sqrt(12)*2 - sqrt(12)))).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 9 - 39. Suppose -5*l - 6*w + 1255 = -a*w, w + 739 = 3*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20 - 1002\/(-10). Suppose 6 + 2 = 4*t. Solve n*g + 90*g**t + 35*g**3 + 5*g**4 + 0*g**4 + 3*g**4 - 3*g**4 + 40 = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.88 * 3.\nAnswer: -65.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, 16, -18, 60, 19 in descending order.\nAnswer: 60, 19, 16, 1, 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/7)*r**2)\/(((r*r**1*r*r)\/r*r*r)\/(r**(-5)*r*r)))**(-2\/43) assuming r is positive.\nAnswer: r**(76\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (328\/(-6))\/(-8 - (-44)\/(-6)*-1) is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from aggttzbggbtaaygggzz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzb when three letters picked without replacement from {d: 2, z: 1, q: 2, a: 3, g: 1, b: 8}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44402 + 2347 = -647*i for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2. Let n be 6\/33 - (-14)\/(-77) - -3. Give y(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 100*d + 1035. What is o(-110)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 7. Let v be 40\/(-6) + (68\/12 - 5). Let f(i) = i + 4. Give v*h(a) + 11*f(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -26. Suppose 5*w + 5 = 0, 0 = -4*r - 0*w + w + 33. Suppose -d*c = -r*c - 2760000. Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.3. Let n = -4 - -2. Let g = 1.4 + 0.6. What is the nearest to 2\/5 in q, g, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6236332g to tonnes.\nAnswer: 0.0000006236332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/4 + 413*i**3 - 684275*i**2\/4 + 505381*i + 1698345 = 0?\nAnswer: -2, 5, 803, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7480614 divided by 26527\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 + 144. Calculate the common denominator of -155\/252 and j.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4)\/(-16))*4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 + 7 = 2*r, -8 = 3*r + 5*p. List the prime factors of (23\/2)\/(r\/8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4205611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + u + 1. Let r(w) = -10*w**3 - 5*w**2 + 4*w + 3. Let o(i) = -i**3 - i**2 + i - 1. Let p(c) = o(c) - r(c). Give -p(g) - 4*t(g).\nAnswer: -5*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1496650 and 15910?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32853, -32851, -32849, -32847, -32845?\n\"Answer: 2*g - 32855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 21*o - 269. Calculate the remainder when 62 is divided by c(31).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:06 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -204*r + 71607. Calculate m(351).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -37. Let u be (-2116)\/(-180) - (2\/10 + l). Let z = u + -71\/6. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b - 1. Let m be q(-2). Suppose -3*v - 3 = -2*v. Let t = -5\/8 + 33\/40. Sort m, v, t in decreasing order.\nAnswer: m, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530416 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141045.\nAnswer: 3, 5, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376322646.\nAnswer: 2, 19, 71, 510127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.806 + 13490231.\nAnswer: 13490234.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370397*a**3*f**3 - 743*a**3*f + 957*a**2*f**3 - 5*a**2*f**2 - a - 14*f**3 - 13*f**2 + f wrt a.\nAnswer: -2222382*f**3 - 4458*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*g - 4*s + 91, -3*s + 53 = -g. Let l(t) = t + 208. What is the tens digit of l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -23*f**3 - 10*f - 12*f**3 + 9*f - 2*f**2. Let u be g(-1). What is the highest common factor of 170 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286 a factor of 344589354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221 by 1221.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/229 + -46\/19923. Which is the second smallest value? (a) q (b) 0.3 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 - 4736*q\/11 + 308334\/11.\nAnswer: 2*(q - 2301)*(q - 67)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -13*t + 18. Solve -t*y - 2*b = 14, -3*b - 9 = -0*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3173 bigger than -3173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(9\/6 + -1). List the prime factors of ((-6)\/2)\/(0 + h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/15))**(-2\/63)*j*j*j\/(j**(4\/3)*j)*j*j*(j\/j**(-14))\/j)**10 assuming j is positive.\nAnswer: j**(31496\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*(-2)\/2. Let s be (-24)\/(-32) + 212\/144. Is s at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -576, -5, 2\/5, 1, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**3 + 5*f**2 - 2*f. Let t be -1*(-9)\/(-6)*-2. Let h be p(t). Suppose -4*b + h = -b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 13.3. Let d = w - -1. What is the second biggest value in d, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41332220*k*v**2 + 57796*v**2 + 13*v wrt k?\nAnswer: 41332220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29869719421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -199, 0.2, -2, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163456 and 2497792.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53323436*c**4 + 41821978.\nAnswer: 213293744*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2794014101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m - 3. What is the remainder when 6 is divided by a(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-63)*(-30)\/4. Solve -2*z + 2*v - 1 = n*v, -2*z + 3*v = -17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(12\/(-60))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49645?\nAnswer: 5, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 8 = -10*a - 4*k, 6*a - 5*a + k + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41189.\nAnswer: 41189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11753 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5662 = -64*k + 3486 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/952 and 27\/221.\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.99664 from -340777.\nAnswer: -340768.00336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79180 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1 - 2*g - g**2 + 0*g + g + 2*g. Let b be r(2). Which is bigger: b or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236 (base 7) to base 15.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j - 5*j + 1566. Let m = j + -52. Solve 19 - 1 = m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -152, 250.\nAnswer: -152, -13, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 + 2*b**2 - 2*b - 1. Suppose 4*a + 3 = 11. Let p be g(a). Solve 10 = -p*j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-7) - (-34)\/(2 + 15)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*(r\/r**3)\/r)\/r)\/r)\/((r\/((((r**(-2\/9)*r)\/r)\/r)\/r))\/r*r*r))**1\/(r**(1\/5)*r*((r\/(r*r**(-6)*r))\/r)\/r)**(2\/3) assuming r is positive.\nAnswer: r**(-451\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3430*w - 2. Let p(c) = -151*c - 150*c - 155*c + 612*c - 155*c. Determine o(p(i)).\nAnswer: -3430*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -116*n**2. Let p(i) be the third derivative of 7*i**4\/24 - 2673*i**2. What is p(u(c))?\nAnswer: -812*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 80 = -6*q. Let r be (12\/q)\/((-2)\/5). Which is the closest to 1? (a) r (b) 2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f. Let r(z) = z**2 + 7*z + 3. Let h(w) = w**3 + 8*w + 4. Let b(x) = -3*h(x) + 4*r(x). Determine b(y) - 4*c(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 5*w + 6. Suppose -19 = -4*t - 5*a, 170*t - 165*t + 4*a = 17. Determine n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 123?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 1. Let l be 6\/54 + 34\/18. Let f(n) = n**2 + 6*n + 5. Let g(i) = l*o(i) + f(i). Give g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -529. What is the greatest common divisor of i and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 4*y - 20, 0 = h + 5*y + 11. Suppose -3*s + 23 = 2*s + h*c, -s + 3*c + 16 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**6\/165 - z**5\/55 - z**4\/66 - 3*z. Factor r(p).\nAnswer: -2*p**2*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from {g: 10, j: 5, m: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-80)\/32*((-7608)\/(-28080) + (-2)\/36).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 - 2*v + 4. Determine i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 84. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(931) - (1 + sqrt(931))*-6) + 4 + (4*(sqrt(684) + -1*sqrt(684)) + sqrt(684) - 2*(sqrt(684) - -3*sqrt(684))))**2.\nAnswer: 140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 15 - 24. Solve -5*l - 10 = -5*r, r = -4*l + 4 + v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458 - 79 + 537 - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o - 6. Let a be c(3). Let y be (-4)\/(-18) + 11\/a. Put -5, -3, y in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1634, 7 in decreasing order.\nAnswer: 1634, 26, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13142957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 32*z + 28. Let v be w(15). Let f be 3\/(101 + v)*108\/12. Let b be 0\/(2 - 6\/2). Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-2)\/(-117))\/(20\/36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:55 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)*(1717\/(-1734))\/101.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 996 + -691. Let p = 731 - c. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.6801 to 2 decimal places.\nAnswer: -9.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 348 = -3*w. Let z = w - 58. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.3 (b) 1\/6 (c) 127 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + 3. Let a = q - 51.6. What is the nearest to 1\/4 in a, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 98305 and 98305 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from {i: 4, u: 10}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4403)\/((1 + -9)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, 1, -2, -430, 4\/9, -3449?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315036 is divided by 171.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12952?\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 13*q - 15*q + 4, -3*q - 12 = -3*g. Suppose -2*i = -17 + 51. Let r = 32 + i. What is the remainder when r is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7898 + 9933. Calculate the greatest common divisor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.07 - -65.07. Let x = -63.867 + p. What is x rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24565*y**4 - 5692*y**2 - y wrt y?\nAnswer: 589560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c - 1. What is l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13218847*h**2 - 2*h*p**2 - 341556*p**2 + 5 wrt h.\nAnswer: -26437694*h - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 10 - 38 = -11*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/142, -37490, -0.03, -5 in increasing order.\nAnswer: -37490, -5, -4, -0.03, -1\/142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + n**3 - 43*n**4 + 3*n**3 - 2*n**3 + 33*n**4 + 3 + n**2 in the form p*n**4 + j*n**2 + b*n**3 + u*n + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(250) - -1*sqrt(250)) + sqrt(250))\/(sqrt(5) - (sqrt(35) - sqrt(70)\/sqrt(2))\/sqrt(7)))*2 + -2.\nAnswer: -8 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 531082277 divided by 4\nAnswer: 531082277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 19*s**2 + 3500*s + 62612. Determine g(-18).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 192 = 5*h - l, 5*h + 6*l = 144. Calculate the smallest common multiple of h and 2178.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15111894 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: Differentiate -309*d + 523 with respect to d.\nAnswer: -309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799897?\nAnswer: 3, 19, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543213739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 379 - ((8 + -1 - 3) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95227078.\nAnswer: 2, 47613539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36641 + 36686. Calculate the least common multiple of k and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.24.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 + (-5 - (5 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 177. Suppose 0 = t - 6*t + 70. Let d(o) = -o**2 + 14*o + 3. Let w be d(t). Sort -1, w, k in decreasing order.\nAnswer: w, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**7\/1260 + f**6\/90 + f**5\/20 - 2*f**3\/3 - 6. Let y(z) be the third derivative of p(z). Factor y(u).\nAnswer: 2*u*(u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {u: 5, k: 1, s: 7, z: 1, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3043 - 3040. Solve -i = -3*v - 3, j*v + 2*v + 2*i = -16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 4*x. Suppose 0 = -0*u - x*u + 10. What is the third derivative of m**u - m**5 - m - 3*m**2 + m wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 times -29429?\nAnswer: 5061788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5.7.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-465)\/3410)\/(3*1\/2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18895\/7293 + -1\/14586. Find the common denominator of j and -19\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-5)\/(-15)). Let j be (2 - 1)*8\/m. Solve -1 = -j*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43 - 27*l + l - 7*l wrt l?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69547994 and 243713?\nAnswer: 12827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68342964 and 3058.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9926 + -9926. Let k(c) be the second derivative of -25*c + 0*c**3 + 0*c**4 + 1\/4*c**5 + 0*c**6 + g - 5\/42*c**7 + 0*c**2. Suppose k(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(561\/(-110))*-3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((33 - -1) + (-267 - -261))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m + 85 - 62*m - 85.\nAnswer: -115*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16825555*f - 17455070 wrt f?\nAnswer: 16825555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let z be (-4)\/540 - 0\/(-2). Are z and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, w: 2, r: 2, g: 3, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3559 + -3564. Let t be (-1 - (-14)\/10)\/(-2). Put 6, t, o in decreasing order.\nAnswer: 6, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -240.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -2887*w**8\/168 - 1307*w**4\/6 - w**2 - 3*w + 64. What is the second derivative of x(c) wrt c?\nAnswer: -115480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20920359 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685270547?\nAnswer: 3, 101, 181, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(7) + sqrt(7) + sqrt(7) + -5)**2.\nAnswer: -200*sqrt(7) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 449. Let i = -5 + 5. Let l be k(i). Suppose 269 = 3*w - f, 2*w - 2*f = -3*w + l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 7 - 22 = -k + 24, 13*k - 243 = 2*h + 8*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2686 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4507587 is divided by 582.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**2. Let d(o) = -o. Determine d(c(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 + 139. Let q be (4 + -1)*(-4)\/(0 + j). Solve 4*i - 10 = q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/24, 0.1, 263 in decreasing order.\nAnswer: 263, 0.1, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-30)*14*11\/462*1.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2417, -777, 1961, 5797, 10731, 16763?\nAnswer: 23893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*h + 2*h - 1874, 2*g + 1884 = 2*h. Suppose 0*f - h = -4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535623 to the power of 1\/2, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (34 + -6 + -31) - (0 - 88).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*k + 45 = 0, 0 = f + 5*k - 7*k - 25. Factor -3\/2*q + 9\/4*q**2 + 0 - 3\/4*q**4 + 0*q**f.\nAnswer: -3*q*(q - 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-7)\/(-189)*6. Suppose 4\/9*z**2 + 2\/9*z**3 - 4\/9 - r*z = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 299, 129, -119, -451, -873, -1391, -2011?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - -6) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252043447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*(m*m**(-7\/4))\/m)**(-16\/5)*(m\/((m\/(m**(3\/2)\/m))\/m))\/(m*m**(1\/6))*(m\/m**(2\/3)*m)\/(m\/m**(-5\/2)) assuming m is positive.\nAnswer: m**(689\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -200 in descending order.\nAnswer: 3, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73648 is divided by 441.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.54 (b) -2\/5 (c) -4 (d) 3.3 (e) -1\/3 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -14) + (8 - 2). Suppose 9*k + 36 = t*k. Let p = k - 16. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:06 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = 3. Let v(s) = -8*s**2 - 6*s + 6. Let b(d) = -7*d**2 - 5*d + 5. Let g(h) = -6*b(h) + 5*v(h). Does 7 divide g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12101211 + -3?\nAnswer: 12101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5280 and 49\/21 - (-16 + (-10931)\/(-612)).\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 786, 2, 1896, -0.01 in increasing order.\nAnswer: -0.01, 2, 786, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(17) + -4 - (sqrt(68) + sqrt(68)*2)\/sqrt(4))**2*-2.\nAnswer: -66 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13373.\nAnswer: 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/((-96)\/18)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 + 12 = 0. Let d(g) = g**2 + 7*g + 8. Let k = 42 + -48. Let h be d(k). What is the second biggest value in y, h, -4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*k - 6, 3*j - 2*k = -j. Let l be 3\/j + 289\/(-170). Sort l, 2\/5, 1 in descending order.\nAnswer: 1, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 + 8.31. Let h = -1.6 - m. Let t = 7 + h. Which is greater: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62901303 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(-1 + (sqrt(175) + -1*sqrt(175))**2 + sqrt(175) + 3).\nAnswer: 4 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311159 and 137107?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand 23510 - 568*j**3 - 23510 + (6*j**2 - 3*j**2 - 4*j**2)*(2*j + 0 + 0).\nAnswer: -570*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -42 + 36 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4) - (950\/40)\/19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 13*s**2 - 26*s - 27. Let o be x(15). Solve 16*h = 11*h + 4*k - o, 0 = 5*h + k + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1633584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1065 + -1025. Is a at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/6*3\/10. Let d = 1.027077 + -0.027077. Sort 0, d, w in descending order.\nAnswer: d, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -998.7 - -810. Let b = 189 + w. What is the fourth smallest value in b, 9, -5, 1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) + (4 - 12). Let z = o + 15. Suppose -9*i + z = -7*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 16 (c) 9\/5 (d) -2\/3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*x + 144*x + 30 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (0 - (-1 - (-5 + 6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l - 22 = j, 5*j - 30 = -3*l. Suppose b - 27 = -l. Let o = b - 12. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 1 + 253729*c - 253728*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11101111110100000100000?\nAnswer: -11101111110100000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5763, -5602, -5325, -4926, -4399, -3738?\n\"Answer: a**3 + 52*a**2 - 2*a - 5814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70687232*h**5 + 437078483*h?\nAnswer: -1413744640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.5577 centimeters to nanometers.\nAnswer: 4005577000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 44*u + 9*u - 179. What is the fourth biggest value in 4\/9, u, 11, 7\/10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228735\/(-46))\/85*-6*8\/108.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17114 - -17110. Which is the second smallest value? (a) 4 (b) -0.02 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3893 (base 10) to base 9\nAnswer: -5305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/3))**(2\/99)\/(u*u**(2\/105)*(u**(-1\/7)*u)\/u*u) assuming u is positive.\nAnswer: u**(-1703\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:21 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 3634?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one sevenths of a week?\nAnswer: 73440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 11. Let r(q) = 30*q**2 + q. Let l be r(j). Let i = l + -21. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4177767498 and 18.\nAnswer: 12533302494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and -95067278567.09.\nAnswer: -95067278566.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8079970 divided by -1615994.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - r = 2*a - 2, -6 = -3*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 11*l**2 + 6*l**2)*((2*l - 2 + 2)*(-3*l + 2*l - l) - 12*l + 12*l - 26*l**2).\nAnswer: -360*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -87*n**3 - 2*n**2 - 2*n + 3. Let c(s) = s**2 + 370*s - 743. Let m be c(2). Calculate a(m).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 x, and 1 d when four letters picked without replacement from {a: 1, x: 2, d: 1, u: 2, e: 2, w: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 9*d**2 - 5*d - 18. Let n be i(-1). Let z = 19 + n. Let o(a) = -a. What is o(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:57 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-3)\/((-18)\/(-12)). Let k(u) be the third derivative of 0*u + a - 1\/30*u**4 + 19*u**2 + 1\/150*u**5 + 1\/15*u**3. Find i, given that k(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 6 - 56 - 9*w**2 - 57.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -3 + -3 + (-19 - -28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285919 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/396)\/(3\/9) - 189\/11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - 1.4. Let d = i - 1.9. Let f = -0.02 - -4.02. Put f, d, 2 in descending order.\nAnswer: f, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0367*4\nAnswer: -0.1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 4*v + 11. Let i(g) = g**3 + 16*g**2 + 15*g + 9. Let r be i(-15). Let h be y(r). Suppose 4*f - 401 = -h. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 55 = 15. What is the greatest common divisor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5592)\/132 + 16)*(-5214)\/1185?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*a**4 - 3*a**4 + 4*a + a**3 - 1 to the form v*a + w*a**2 + i + m*a**3 + g*a**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6)*(-2)\/119?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -12*r + 155. Factor -1\/4*a**r - 1 - 5\/4*a.\nAnswer: -(a + 1)*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101*u**2 - 2911*u**2 - 3256*u**2)*(1 - 1 - u**2) + 3*u**4 + 2*u**4 + 0*u**4 as h*u**2 + b*u**4 + n*u + c + q*u**3 and give b.\nAnswer: 6273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 8 = -27*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*k - 1056 + 749 = -3871 - 2277 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19521 and 0.1.\nAnswer: -19520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllccllo. What is prob of sequence lo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*j + 4228*i**3 - i*j - 4676*i wrt i?\nAnswer: 12*i*j + 25368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 0.03, 5, 3, 9\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1850, 3683, 5552, 7475, 9470, 11555, 13748?\n\"Answer: 3*r**3 + 1812*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 12:38 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 2\/7, -2, -0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i + 65 - 142 + 45. Let u(s) = -7*s + 11. Determine 6*l(x) + 17*u(x).\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*f - 48, -n - 10*f = -12*f - 3. Solve -29 = t + n*o, 5*t - 2 = -4*o + 8*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2242.1967 seconds to minutes.\nAnswer: 37.369945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1442\/5 + -4324\/15. Suppose h + 5*r + 94 = -h, 0 = 4*r - 8. What is the third biggest value in -2, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 10) to base 11\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1105 divided by 1105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*s - 5*r, 5*s - 457 = -3*r - 485 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times -15?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvejjvoj. What is prob of sequence ve?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 170737*c**4 - 9717610113*c**3 + 184404597325859*c**2 - 1843074382974290*c.\nAnswer: -c*(c - 56909)**3*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-77)\/(-44))\/((-25)\/40). Let k = -2.2 - -2. What is the second biggest value in k, 0.4, 2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 + 122*z**3 + 2804*z**2 + 5112*z = 0?\nAnswer: -18, -2, 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003276555 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:59 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 1. Let y be j(1). Put y, 2, -5 in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 160 = 2*b, 5*j - 3*b = 106 + 129. Let p = -99 + j. Let c = 7 - p. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u - 8*u + 20*u)*(-1 + 2 + 2).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.033 + -0.033. Which is the second smallest value? (a) m (b) -1.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, r: 3, d: 1, q: 1, b: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -98. Is 20 a factor of 49282\/i + (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 3*y + 1089. Suppose 1478 = 2*t + 1406. What is the greatest common factor of t and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 13 - 7. Suppose -13 = -k*x + 2. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2. Let l(o) = -19*o**2 + 7*o. Let x(j) be the first derivative of 13*j**3\/3 - 5*j**2\/2 - 13. Let u(c) = 5*l(c) + 7*x(c). What is u(w(v))?\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2151125 + 2151125.09100067. Let c = m + -0.091. What is c rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five halves of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*1 - 3\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 6034?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -105, -2, 0, 207, -7 in decreasing order.\nAnswer: 207, 1, 0, -2, -7, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-18)\/8*(-26)\/234\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13405895 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*t + 20, -4*c + t = 2*t + 5. Suppose c = -a - 1 + 14. Suppose 11 = 4*u - a. 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: Suppose -2*b + 32 = -6*b. Find the common denominator of (3*20)\/(84\/b) and 131\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6772596 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5*s + 38. What is the remainder when 47 is divided by i(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 2 + (-10 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 19048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*r**3 + 3 + 219*r**3 - 3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 5) + 127 + 0.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 0, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280 + -175. What is the highest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2) + 3\/6. Let x(l) = -6*l**3 - l**2. Let g be x(k). Solve 3*m = a - 20, 21 = a - g*m - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - 14) + 0 + 4. Solve 0 = -4*h - f + 7, 13*h - 8 = t*h + 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006491628 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1599 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/4 - 14*t**3\/3 + 6*t**2 + 16*t + 3. Let m be b(-15). Suppose 4*a = 5*l - m, 2*a = -5*l + 21 + 46. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 + 3 = 0. Find the first derivative of 0 + y - 3*h**4 + 28*h - 28*h wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -39. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99813443 or 99813445?\nAnswer: 99813445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0266? (a) 0.4 (b) -1\/4 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8114 is divided by 729.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448031?\nAnswer: 448031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)\/(-2 - 0). Let d(p) = p**3 + p**2 - 7. Let w be d(y). What are the prime factors of (-220)\/(-14) - 2\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 4*i - 1. Let r be c(-3). Let g = r - -6. Suppose -2*t + p + g = -85, 0 = -2*t + 4*p + 90. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32286 = 123*q - 78156 - 44538. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2005085668 to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15037 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 - 488*l**2 + 1627*l + 75614 = 0. Calculate l.\nAnswer: -491, -11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:20 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -102858 (b) 5 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -3*n, 0*n + 2 = -r - 5*n. Let i be 0\/((-2)\/(r + 1)). Suppose 0 = c - 4*k - 11, i = -3*c + k + 50 - 6. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 2*d**2 + 0 + (2*d - 3*d + 4*d)*(3*d + 34*d + 11*d).\nAnswer: 146*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l + 6. Let q be -18*(-2)\/(-12)*-2. Suppose d = q - 1. What is the remainder when n(d) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -652 (b) -35\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 10*o**2 - 9*o + 25. Let h be r(-11). Suppose -u + 4 = -h*u, -3*u + 84 = 5*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.1, -3624\/5, 3, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(304)*3 - sqrt(304))*5*4 + (-5 + -3 + sqrt(304) - (sqrt(304)*3 + -1)))**2.\nAnswer: 21392*sqrt(19) + 44360945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = 3*i + 8, -4*x = -8. Let w = 3 + i. Let o = -78 + 78.5. What is the closest to 1 in 4\/3, w, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 889*w**3 - 2*w**2 - 2327?\nAnswer: 2667*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -90. What is the biggest value in -3, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 386 in 1\/502, 0.5, 0.2, 5\/2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -7*u - 100 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461 or -699631\/479?\nAnswer: -1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7 take away 285590251248.1?\nAnswer: -285590251233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*x**6 + 7*x**6 - 9 - 18*x**2 + 25*x**2 wrt x.\nAnswer: 2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/4 (c) -29 (d) -0.048 (e) -1 (f) -11\/12 (g) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1731, 1503, 881, -333, -2337?\n\"Answer: -33*z**3 + z**2 + 1763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*q + 85*q + 84*q + q**2 + 72*q in the form s + y*q**2 + f*q and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3\/2. Suppose 0 = -6*c + c. Let k = -0.4 - -0.2. What is the smallest value in k, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-5 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000703 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Let 40*r**d + 34*r**4 + 2*r**3 - 75*r**4 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 20*g - 15. Let a be r(21). Let f(b) = -b + 3. Determine f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = h - 7, h = -3*w. Suppose -2*l + 2*b + h = 5, -19 = -3*l + b. Suppose 3*n - 8 = 2*s, 15 = 5*n - l*s + 2*s. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)*s**(-1\/6)*s**(-7)\/(s*s*s**(6\/13)*s))**(-21) assuming s is positive.\nAnswer: s**(5491\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 553 + -4?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9235 or -1300?\nAnswer: -1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -841070, -841069, -841068, -841067, -841066, -841065?\n\"Answer: f - 841071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 156 - -22?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224 - 222. Let o(n) = -30*n**2 - 20*n**2 - 4 + 49*n**j - 4 + 2*n. Determine o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 92980*x\/3 - 464950\/3.\nAnswer: 2*(x - 5)*(x + 46495)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2555 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.004993 times 5\nAnswer: -0.024965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110111101011010 + 1011001?\nAnswer: 101110110111110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7412, -7409, -7404, -7397?\nAnswer: -7388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 6*a + 14. Does 9 divide 2\/4 - 245\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(50\/5*160\/160)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(78) + sqrt(78)*4)\/sqrt(6).\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 0, 3, -24405, 2 in increasing order.\nAnswer: -24405, -5, 0, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104353952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j - 2*q + 2, -4*j + 5*q + 1 = 0. Let i(v) be the first derivative of -2 + 8*v + 7\/2*v**2. Let u(y) = y + 1. What is j*i(c) + 6*u(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:45 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 8 = -q. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 621*t + 396*t - 201*t + 772*t to the form c + p*t and give p.\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-16))\/(-4*9\/(-48))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19930 + -19930. Put -0.006, 1\/5, d, -9 in decreasing order.\nAnswer: 1\/5, d, -0.006, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 9 + 0*z**3 + 251\/12*z**4 + 0*z**2 + z + 13\/20*z**5 + 0*z**6 + 2\/21*z**7. What is the third derivative of b(k) wrt k?\nAnswer: 240*k**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4433 - 2?\nAnswer: -4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/42)\/(315\/(-168)). Sort -0.3, -7\/36, o in descending order.\nAnswer: o, -7\/36, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4793952 and 4392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -20. Let a(l) = -l - 3. Let f be a(-6). Let k = 0.052 + -4.052. What is the third biggest value in f, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-2 - 3)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 551 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*l**2 + 4)*(l**2 + 10 - 76*l - 11 - 3*l**2) to x*l**3 + a*l + b + r*l**2 + p*l**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 363*(468\/(-6318) - 228\/(-891))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*1539\/(-14364)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 43*k - 998. Let b be n(24). What is the highest common factor of b and 2210?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f**2 - 10*f + 261. Determine n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s + 820. Let v = 87 - s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 150 = 2*q, 4*a - 2*q - 441 = -141. Calculate the remainder when 675 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2514, -20132, -67956, -161088, -314630?\n\"Answer: -2517*a**3 - a**2 + 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52752888.\nAnswer: 2, 3, 383, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 + 2*x + 3. Let c be j(-3). Suppose c*l = 5*l + 21. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5184 = -9*v + 25*v. What is the greatest common factor of 72 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = -3. Suppose -15 = c*q - 9*q + 5*w, 3*w = 2*q - 7. Solve -3*r = 4*f + 7, -f = -2*f - q*r - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 232850785.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*1338.\nAnswer: 40.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(304))*2 + -3 + sqrt(304) + -4)**2 + -3.\nAnswer: -168*sqrt(19) + 2782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(500) + -2 + -2.\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 290806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/65 + 36\/143. Let p(k) be the first derivative of c*k**5 + 0*k**3 - 2\/11*k + 1\/11*k**4 - 2\/11*k**2 + 3. Let p(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 134, 200, 266, 332?\n\"Answer: 66*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 15) in base 6?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**7\/21 + 7*y**6\/3 + 19*y**4\/12 + y**2\/2 - 69*y - 2. Find the third derivative of n(l) wrt l.\nAnswer: 120*l**2 + 1680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -559*((-550)\/(-26) + -21). What is the closest to -1 in -5, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 0, 0 = -5*s - 2490*o + 2517*o + 30 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8359710226 minus -67033?\nAnswer: -8359643193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/288 and 149\/960.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 0, 13, -212, -2 in increasing order.\nAnswer: -212, -172, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:29 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 + 7. Let w = -8.12 - -8.1. Let r = 5.02 + w. Which is the third smallest value? (a) x (b) -1\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2301*l - 34506. Calculate t(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:39 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.092 + 21.592. Let p = x + -11. Let k = -10 + p. Which is the biggest value? (a) -0.4 (b) -2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s = 2*n - 67*s + 88, 207*s - 208*s = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354984.\nAnswer: 2, 3, 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*a - 42*a. Let n(m) = 2 - m - 4 + a. Calculate n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-8\/5)*x))\/(x*x**(9\/13))*(x**(-37))**42 assuming x is positive.\nAnswer: x**(-100951\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -5 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -49. Let y = w + -9. Suppose 5*p = n + 18, y*n = -7*p + 2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11419794 is divided by 133.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996\/(-16)*(-32)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 149?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 52*q + 1844 = 3314 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jql when three letters picked without replacement from {q: 2, f: 1, a: 1, l: 2, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:18 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4, -2 + 7 = -5*p + 5*m. Let g = 9 + p. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2698 = -149*z, 92 = -106*z + 102*z + 8*j - 3*j for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -19*y - 348. Give o(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.09257 + 0.04957. Let g = 0.043 + j. Sort g, -6, -0.7.\nAnswer: -6, g, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 10*q**2 - 15*q + 112. Let c be z(8). Suppose 1 - 41 = -r. What is the highest common divisor of c and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -6\/11 (c) -16.7 (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:01 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3578830497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1361222889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12347 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 267, -2201 in decreasing order.\nAnswer: 267, -2, -2201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 3*j + 24, -3*j - 2*j = 40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 71 + 17 = 0. Find the second derivative of 34*g - y + 3 - 258*g - 20*g**5 wrt g.\nAnswer: -400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 3}. What is prob of picking 1 v and 1 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**6 + 0 + 8*r**2 + 0*r**4 + 7\/20*r**5 + 0*r**3 + 0*r - 8\/105*r**7. Find the third derivative of s(m) wrt m.\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 694937 and 7915.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**3 + 10 + 77*c**3 + 8*c**2 - 38*c**3 + 0*c**2 + c**2.\nAnswer: 2*c**3 + 9*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c79 + 28?\nAnswer: ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**5 - 252*l**4\/5 + 92*l**3 - 368*l**2\/5 + 114*l\/5 - 4\/5 = 0 for l.\nAnswer: 1\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 14 - 14)*(-25 + 28 - 14)*(3*d - 5*d + 0*d) as m + l*d and give l.\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*z + 352 = 0, 7*z - 4*z + 1441 = 4*k. Suppose -44 = -6*l + k. Calculate the remainder when l is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 3*q**2 + q**2 + (6*q - 3*q - 2*q)*(15*q + 6*q + 11*q) in the form h*q + m + w*q**2 and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 638 and 6.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 17. Suppose 4*h - i*f - 41 = 0, -4*f + 20 = 4*h - 0*f. Solve -h = -3*d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = -h. Let r = 7 - h. Let u(g) = 3*g**3 + g + 0*g**2 + 3 - 2*g**3 + g**2. Let x(w) = -1. Determine r*x(s) + u(s).\nAnswer: s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 4, s: 5, o: 8, r: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 5*i**2 - 2. Suppose -4*v = b - 15, 4*v + 7 = 2*b + 1. Suppose 0 = 2*d + b + 1. What is the remainder when 39 is divided by z(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(8\/(-12)*35\/14). What is the second smallest value in c, 14\/53, 4\/9?\nAnswer: 14\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1494*f**2. Let j(z) = 83451*z. Determine p(j(t)).\nAnswer: -10404319685094*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-19 + (8 - 19 - -44))) + (9 - 2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-322)\/(-8) + -14)\/(2\/24). What is the greatest common factor of 1785 and i?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f + 43*f - 3*f**2 - 293 + 2*f**2 + 311 - 62*f.\nAnswer: -f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1\/4, 1\/2, -1, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 70204*r - 93600.\nAnswer: -(r + 23400)*(3*r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + w)*(0*w - 2*w + 5*w) + 1159*w - 6*w**2 + 2 - 1159*w + (w + w - 6*w)*(2 + 2*w - 2).\nAnswer: -11*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260996928.\nAnswer: 2, 3, 43, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 5, -1\/6, 1, -39, -97?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066767461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 6\/19, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1b445?\nAnswer: 1b442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12621314 divided by -12\nAnswer: 6310657\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0 - 3. Is 2\/43 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(1\/5)*m)\/m)*(m*m**2*m*m*m)\/m)\/(((m*(m*m**(-2\/5))\/m*m)\/m)\/m**(2\/11)) assuming m is positive.\nAnswer: m**(296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/46 and 51\/295144.\nAnswer: 6788312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n + 4207*n**2 - 87*n + 71*n as k + i*n**2 + f*n and give i.\nAnswer: 4207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 - (-8)\/160. Let i be 1*3\/(-3)*-1. Do w and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 5367.795.\nAnswer: 5368.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + p = -94, 3*p = -s - 0*s - 34. Put -4, -1, 0, s in descending order.\nAnswer: 0, -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 141 = -34. Suppose -m*l = -102*l - 370. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 13. Calculate the highest common factor of 38 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 9. Let l be 2 - (-30)\/(x\/(-3)). Let t = 485 - 477. Calculate the greatest common factor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368377723 to the power of 1\/2, to the nearest integer?\nAnswer: 19193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/18 + (-22)\/(-8))\/(350\/(-2200)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 478563517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + u + 19 = 0, -5*c - 5*u = -2*c + 46. Let d = c - -11. Factor 157\/4*g**2 + 99\/2*g**3 + 11*g + 81\/4*g**d + 1.\nAnswer: (g + 1)**2*(9*g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/7*d**2 - 2\/7 - 8\/7*d = 0. Calculate d.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 + 25 = 0. Calculate the remainder when (-12)\/r*(2 + (-23)\/3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10514 + 10513.9. Suppose 339 + 61 = -5*d. Let s = d + 558\/7. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Suppose -18*s + 13*s + 13 = 2*d, -s + 3 = 0. Let w(h) = -3*h - 2. Calculate d*w(p) - 6*g(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*t = 113*t + 9315. Let h(y) be the second derivative of 3*y**4\/2 + 5*y**3\/6 - y. Let z(w) = 99*w**2 + 27*w. Determine t*h(d) + 5*z(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -597210.88 rounded to the nearest one hundred?\nAnswer: -597200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 + 4*n + 7. Let a be w(5). Suppose -a*c + 11 = 3*g, 3*c - 8*c = 2*g - 11. Let q = 3 - -1. Solve 0 = g*m - q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 6, e: 1, y: 3, g: 8}?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80441544 rounded to 3 dps?\nAnswer: 0.804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/70238 and -169\/150510.\nAnswer: 1053570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 109.682+-1\nAnswer: 108.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*(11*c - 602 + 54*c + 600) in the form d + o*c and give o.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73\/28 - -11\/4. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eye when three letters picked without replacement from {w: 4, z: 1, e: 2, y: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + t - 4*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c - 206. Determine h(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 2, -2 in ascending order.\nAnswer: -8, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 2:22 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moooooooomoooomooo. What is prob of sequence mmo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c. Suppose c*j + 4 = 2*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92518932 from 34.58.\nAnswer: 92518966.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j - 194. Let h be s(10). Let p be 142 - -2*(7 - h). What is the greatest common divisor of 48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772734 is divided by 199.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 4, -13225*b + 1 = 3*n - 13227*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 16) in base 13?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 + n + 3*n**3 + 17*n**2 + 0*n + 2*n**3 - 196 to the form j + p*n + s*n**2 + a*n**3 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 1 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 252, 575, 1040, 1659, 2444, 3407?\nAnswer: 4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.76 - -2.8. What is n rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5851 - 5828. Calculate the remainder when 67 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:55 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -3, 2\/19, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -467*n**3 + 1811*n**3 - 2*n + 1029*n**3 + 674*n**3 + 143*n**2 - 218*n**3 wrt n?\nAnswer: 16974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38058*f*r - 124*f + 2*r + 101 wrt r?\nAnswer: -38058*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210301 + -1033?\nAnswer: 1203202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 14*q + 10 = 0. Suppose 0 = q*p + 4 - 0. Let f(v) = 0 + 5*v**3 - 1 - 6*v**3 + v**2. Give f(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-27 - 13) + 17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:42 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3511*j + 40013 = -5630 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-72)\/720 - 209\/510 and ((-63)\/90)\/((-24)\/170).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11594\/1023 - (-2)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v + 25. Factor -3*s**3 - v - 7*s**2 + 5 - 12*s - 5*s**2.\nAnswer: -3*s*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.1, 4\/7, -896?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 3:28 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from thhttthhtt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111122121021 (base 3) in base 13?\nAnswer: -95401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = -4*y, -5*k - y + 0*y = -4. Suppose 2*n - 3*n + 5*o + 11 = k, -o + 107 = 4*n. What is the units digit of n\/6 - 6\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-118)\/(-12) + 26\/(-78). Factor -7\/2*g**2 + 3 + i*g.\nAnswer: -(g - 3)*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154314466 rounded to four decimal places?\nAnswer: 0.1543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 27 - 22 + 8*b**3 + 48 to w*b + a*b**2 + d + m*b**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5, -0.2, -0.3, 13432, 74\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 0.02 (b) -6 (c) -0.4 (d) 0 (e) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.101 + -76.899. Let g = d - -32. Let z = g + 45.4. Which is the nearest to 0? (a) 13 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 237, 4, 15, -4 in ascending order.\nAnswer: -4, 2, 4, 15, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 203.33 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d + 101. Determine l(-17).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871847 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13161, 52829, 118949, 211527, 330569, 476081, 648069, 846539?\nAnswer: 1071497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.02, 0.5, 3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 0*k + 0*k + (-3 + 3 - 2)*(37*k + 32*k + 32*k) as f + x*k and give x.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -913 + 4?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 77*t**2 - 12850*t - 1505. What is m(167)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j + 21 = 2*c + 73*j, 4*c + 8*j + 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -25*s**2 + 17. Let u(o) = -8*o**2 + 6. Let f(k) = 6*i(k) - 17*u(k). Suppose 2*n + 20 = 6*n. Let t(z) = -16*z + z + 8*z + n*z. Calculate t(f(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 8*s**2 - 9*s + 10. What is the lowest common multiple of 18 and v(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - k + 19. Give x(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**6\/24 - w**5\/20 - w**4\/16 + w**3\/12 + 6. Let m(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:22 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1691 - -1758. Calculate the remainder when 4 + 0 - 9786\/(-42) is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 67 = -7*u - m, -1780*u - 2*m = -1775*u + 44 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-3 + 1 - 1 - -2). Let r(y) = -y + 4. Let s be r(0). Let n be (-112)\/60 - s\/30. Put k, n, 5 in ascending order.\nAnswer: n, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -705 + 3528 - 709 - 705 - 707 - 703. Let a(f) be the second derivative of f**4\/6 + f. Calculate a(v) + r(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 81 = 3*y, -103 - 38 = -5*y - 3*v. Let a = -25 + y. Solve 0*h - h - a = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -43. Solve 4*z - 2*m + 18 = 0, z + r*m = -0*m + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 1, m: 7, b: 2, f: 4}. Give prob of picking 1 b and 2 m.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 1 e when three letters picked without replacement from {d: 1, j: 1, x: 1, e: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - -76. Is (-6753)\/2*t\/(-84) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let s(k) = -k**2 + 9*k + 7. Let r be s(10). Let f be ((4 + r)*-1)\/5. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 19. Suppose -4*h - 5*z + 67 = 22, 13 = h + 3*z. Let n be k(h). What is the highest common factor of n and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 8 - 12 - 14 - 5 - 203*f as c + i*f and give i.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 55 = 5*k, -2*q = -19*k + 24*k + 27 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/o)\/o**(-4\/7)*(o**(1\/2))**(-18) assuming o is positive.\nAnswer: o**(-389\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8237288065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1057, 2119, 3181, 4243, 5305?\n\"Answer: 1062*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5083*q - 5858*q + 0 - 5542*q + 5720*q)*(-3 + 4 + 2).\nAnswer: -32289*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106471212.\nAnswer: 2, 3, 19, 127, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -191*d + 403. What is t(-9)?\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -223. Suppose 0 = 5*o + 25 - j. What is the highest common divisor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, i: 4}. What is prob of picking 2 l and 2 i?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -3 in descending order.\nAnswer: 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4881911.\nAnswer: 23, 31, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 0.86. Let p = q + 0.14. Which is the closest to p? (a) 2\/3 (b) -0.5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159667477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/60 - 23\/140. Let h(n) be the third derivative of 0 - n**2 + 1\/420*n**6 + u*n**4 + 1\/21*n**3 + 0*n + 1\/70*n**5. Factor h(d).\nAnswer: 2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 divided by -1.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3320428422098*x**2\/3 - 36077804*x\/3 - 98\/3.\nAnswer: -2*(1288493*x + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 - 170*v**4 - 1420*v**3 + 1670*v**2 + 43425*v + 40500 = 0.\nAnswer: -20, -9, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 12*r - 8. Let p be -12 - (-4 - (-2 + -1)). Let b be g(p). Find the second derivative of -2*i - 3*i**5 + 0*i**5 - b*i + 0*i**5 wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -5634274751?\nAnswer: 5634274755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 32 = -23. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(800))**2 + -5 - (sqrt(800) + -3)*1).\nAnswer: -20*sqrt(2) + 7194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -124. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13036*q + 49. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from gwzgwgqwwz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 11077?\nAnswer: -55385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*f - 4, 0 = -5*l + 2*l + 5*f + 2. Suppose k + 4*k - 5 = 0. Let i be 0\/(-2) + (-2)\/k. Put -4, l, i in decreasing order.\nAnswer: l, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 144903*w + 770. Let a(j) = -14990*j - 80. Let p(v) = -77*a(v) - 8*h(v). Let i(b) = b**2. Determine i(p(q)).\nAnswer: 24940036*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101011201 (base 3) in base 6?\nAnswer: -15545501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 61*t**2 - 4*t - 4. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7231 times 4.47\nAnswer: -32322.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 770052 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607192.8 rounded to the nearest 10000?\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -888, -1029, -420, 939, 3048, 5907, 9516?\nAnswer: 13875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 74*n - 72*n - 3*g, -5*n + 10 = -5*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*p - 1635 = 0, -k - 2*p = 2*p - 542. Let o be 812\/k + 4\/(-26). Sort -4, 2\/9, o, -5.\nAnswer: -5, -4, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/13*(-16)\/144*9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28 + 0)*5\/10. Suppose -h - 3*h + 28 = -5*z, -h + a = -3*z. Calculate the least common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 + 125 + 7. Suppose -115*z + n*z = 70. Solve -4 = z*m + a - 16, 3*m - 5*a + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2 + 4. Suppose -2*n - 3 = -o - 4*n, -x*n = 4*o - 7. Solve -1\/2*f**2 - 1\/2*f + o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*m + 17*n - 12*n, -3*m = n + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2\/4 - 798675*m\/2 + 127576351125\/4 = 0. Calculate m.\nAnswer: 159735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/75)\/(-4*5\/40*8\/(-310))?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2491*n - 14188. Is w(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 1, c: 2, l: 2}. Give prob of picking 2 c and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -389893839*r**4 + r**2 - 1269*r - 4619 wrt r?\nAnswer: -9357452136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-10) + 3\/2. Suppose x = 5*i - 2*f - 16, -5*f = 4*i + i + 5. Solve 3*c - 4*w - 8 = 20, -i*w - 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.6135 kilometers in nanometers?\nAnswer: 692613500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21423*g + 4238. What is the hundreds digit of b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -2*y + 270. Calculate the smallest common multiple of 12 and y.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.111 + 76.25. Let o = -0.049 + 8.249. Let s = d - o. Round s to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z - 1. Let s be h(-1). Suppose -3*j = 3*a - 12, 5*j = 2*a - 6 - 2. Suppose -3 - 9 = -a*o. Solve 0 = -s*u - o*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -15*v + 2430. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*w - 11, 0 = b + 1 - 2. Suppose -18 = -w*i + 26. Suppose m - i = j, -6 = -0*j + 3*j. What is the remainder when 33 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**3 + 5*z**2 - 6*z + 2. Suppose -1 = -3*i + 5. Is y(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (2 - 0)*(-57)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52183904 or 313103425\/6?\nAnswer: 313103425\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*c = -28, 8 = 3*x + 5*c - 34. Calculate the highest common divisor of x and 52066.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d - 28. Let f(j) = -j**2 + 8*j - 7. Let a be f(d). Suppose a = 2*t + t - 72. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -970387.\nAnswer: -970387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/(141328\/(-134904)).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -6*d. Let n(m) = -10*m**d - 35 + 13 + 23 + 16*m. Let w(l) = -7*l**2 + 11*l + 1. Let g(i) = 5*n(i) - 7*w(i). Factor g(t).\nAnswer: -(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230044205 - -5?\nAnswer: 230044214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 2*l + 2175 = 0. Let o = 223 + l. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 5*g - 7. Let x = 284 + -279. Calculate the remainder when 51 is divided by n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-6 + 8)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49529, -99056, -148587, -198122, -247661, -297204, -346751?\n\"Answer: -2*i**2 - 49521*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**5\/80 - 15*t**4\/32 + 7*t**3\/4 + 45*t**2\/2 + 47. Let u(c) be the second derivative of g(c). Determine v so that u(v) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433104314 (base 5) in base 16?\nAnswer: 1c30a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 5. Let b be m(8). Suppose -4*r + 133 = -b. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -368 + 1041. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*t**6 - 3*t**4 + 2*t**3 - 18*t**2 - 48 wrt t.\nAnswer: 15000*t**3 - 72*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztdtydtuddzuttt. What is prob of sequence zyt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x**3 + 8*x + 48. Let y(j) = -9*j**3 - 3*j - 25. What is -3*i(t) - 7*y(t)?\nAnswer: -3*t**3 - 3*t + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*i + 5 = 0, -458*w + 454*w + 4*i = -12. Factor -4\/13*x**w + 12\/13 - 2\/13*x.\nAnswer: -2*(x + 2)*(2*x - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.161 - 0.221. What is the nearest to -0.1 in -2, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t + 108 = 93*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 417*b**2 - 115*b - 231*b**2 - 218*b**2 to the form i + o*b**2 + g*b and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5216071.3 to the nearest one thousand.\nAnswer: 5216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -70, -95, -102, -85?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 1040 = -35*q + 9*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1574072 and 2132?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.500121 + -30.5. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22573?\nAnswer: 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33916 and -77760.5.\nAnswer: -43844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3479, 6722, 9443, 11342, 12119, 11474, 9107?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -227 (b) -0.051 (c) 2\/15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -6*(-1*sqrt(75) - sqrt(75)))\/(2*sqrt(5)*2))\/(4*5*(sqrt(720) + (sqrt(720) - -1*sqrt(720)))).\nAnswer: -11*sqrt(3)\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and -3861222.\nAnswer: 223950876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 21. Solve z = 2*d - 0 + 6, 0 = -5*z - 5*d - b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 559 + -555. Put -13, 5, a, -0.05 in decreasing order.\nAnswer: 5, a, -0.05, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/2*2 - (-1171 + 1138)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/9)\/(1\/3). Solve -4*x = -a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:43 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 19, -3.\nAnswer: -7, -3, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssyy when four letters picked without replacement from sysyssssssysysssys?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 2*r - 6*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5 - 15*a**3 - 10*a**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 855 + 801 = 0. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541331074 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-56)\/(-3))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36992, -6, 3 in decreasing order.\nAnswer: 3, -6, -36992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, 0.2, -0.09, -1\/4, 323.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66959*b**5 + 269*b**2 + 79*b?\nAnswer: -4017540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 40b9ad?\nAnswer: 40b9ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27650693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -36, 0.012, -2?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1160 - -1012. Are -736\/5 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -600 or -447?\nAnswer: -600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 5*j + 14*j)*(-52*j**3 + j**2 + 172*j**3 - 47*j**3 + 2*j**2).\nAnswer: 511*j**4 + 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108547 is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 49481 = 109962. What are the prime factors of x?\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.024, -1\/3, 4\/11, -0.2, 0.019, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*o - 38, -17 = 2*o + p - 0*p. Let g(r) = -r - 1. Let s be g(o). Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/12)\/(1\/42). Suppose 603 = 10*j - j. Calculate the common denominator of j\/c + 10\/35 and -59\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-98)*7 + 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - -29. Calculate the remainder when n is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose 8 = 2*v + 4*w - w, -7 = -n*v - w. Is v + 16\/12*66 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 21*b + 8. Calculate l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let l = 2 - v. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5642*l**2 + 10. Let a(k) = 36676*k**2 - 64. Give 5*a(n) + 32*v(n).\nAnswer: 2836*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/(-8)*(-15424)\/(-5784)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 3*a - 1\/3*a**3 + 0*a**2 + 1. Differentiate c(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 71*o + 0*o**2 + 93*o + 85*o - 249*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -173. Suppose 0 = -3*i + s + 70. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5389534 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 25*l = -49*l - 265 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l - 7*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let o(v) = 3*v + 1. Suppose -85*d = -87*d - 14. Determine d*q(y) - 3*o(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/140*-14)\/(56\/(-350))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:52 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 93. Let g be 16\/(-56) - (-312)\/14. Is l(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2606 (b) 1 (c) -1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709899155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*a = -20, 16 = -4*x + 10*a + 14*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/(-8)*5325\/(-639)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 32. What is the greatest common divisor of n and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405.751291 to two dps.\nAnswer: -405.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4369, 4226, 3979, 3622, 3149, 2554?\nAnswer: 1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001719353391 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**33)**(-24)*((m*m**(-1))**0)**(4\/15) assuming m is positive.\nAnswer: m**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14522088 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/11 + 2086*y\/11 - 243576 = 0. Calculate y.\nAnswer: -1791, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42328237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 20, -20 = -38*c + 43*c + 5*p for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.3751 times -0.008714\nAnswer: -0.0119826214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:04 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - sqrt(130)*1*-3 - sqrt(130)))\/(sqrt(10) - ((sqrt(10) - 2*sqrt(10))*-3 + sqrt(10))))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4. Let f be v(3). Let y be 11\/((-77)\/(-28)) - (2 - 0). Solve 5*w = -y*n + 23, 0 = -4*w - 4*n + 3 + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - -14. Suppose -8*c = -3*c - h. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4, 3*i - 160 = -4*n - i. Does 11 divide (-3)\/((n\/(-88))\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-16)\/6)\/(3\/(-90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -1. Let p(y) = -2*y**2 - y - 1. Let r be p(-3). Let s be (99\/(-44))\/(d\/r). Solve 4*l = u + 14, 4*l - 8 = s*u - 2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93733927?\nAnswer: 7, 167, 181, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4766, 4946, 5252, 5690, 6266?\nAnswer: 6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 3220. Suppose 0 = -3*p + 4*u - 486 - 718, 0 = -2*p + 3*u - 801. Let w = p + k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z + 9. Let u be y(-12). Let x be (u\/(-4))\/(-1)*-4. What is the second derivative of 2*r + 15*r**3 - r - 18*r**x wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8\/3)\/(32\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-20)\/13) + 12\/30. Let d = -2 + 35. What is the remainder when (k + -124 + -6)*(-1 - 0) is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 11 - 8 = -3*n, -4*d - n + 7 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/3*h**2 - 7\/3*h - 1\/3*h**3 - 1 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.942 - -0.822. What is the closest to 0.3 in -0.3, -2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 3*y + 2. Let p = -1 + 94. Let h = p - 75. What is the smallest common multiple of k(4) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/((-3)\/3))\/((-150)\/50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.1039 micrometers in nanometers?\nAnswer: 310103.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 3}. Give prob of sequence fi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 239 = 1551. Let j = c + 748. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40190\/51 - -788. Let m = 12\/17 + x. What is the closest to 0.1 in m, 0, 2\/17, -10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 2*c - 3*c)*(-3*c - 2*c + 4*c + (2*c - 5*c - c)*(-5 - 1 - 5)) to the form u*c + p + l*c**2 and give l.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 361 - 242. What are the prime factors of y?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 3454. List the prime factors of s.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wahh. What is prob of sequence wa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) -0.4 (c) 7\/2 (d) 0 (e) -1\/7 (f) 950\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-136341938\nAnswer: -136341938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 19443058.\nAnswer: 3\/19443058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-156)\/(-18))*2730\/(-315).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -668113760*m**2 - 612686421*m wrt m?\nAnswer: -1336227520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**29*s**(-4)\/s**(-1\/5) assuming s is positive.\nAnswer: s**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 3*r**3 + r**2)*(31 - 18 - 9)*(5*r + 0*r - 4*r)*(-3 - 1 + 3).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11000001001110111?\nAnswer: 11000001001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j**3 + 2*j**3 - 3*j**3)*(-3 + 1 + 3) - 618*j - 13*j**3 - 3*j**3 + 15*j**3)*(j - j - 3*j).\nAnswer: -3*j**4 + 1854*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((6 - 13) + 6 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 - 3*t**2 + 3*t + 1. Let p(k) = k**3 + k**2 - k. Let v be (-30)\/20 + (-9)\/6. Let l(c) = -c - 12. Let d be l(-11). Calculate d*i(u) + v*p(u).\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 215301393 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*r = 121*r - 48*r + 2730 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*l + 14, 4*c - 2*l = -6 + 28. Suppose c*f = 2*h + 178 - 54, 9 = 3*h. Calculate the remainder when 75 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 - 1110?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3833084191.\nAnswer: 3833084191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10110111?\nAnswer: -10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(19) - -5*sqrt(475)) + -2 + 1)**2.\nAnswer: 52*sqrt(19) + 12845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**4\/(k\/(k**(-1\/6)*k)*k*k**(1\/5)\/k) assuming k is positive.\nAnswer: k**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 325\/25*2*13\/(-26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 10*w - 13*w**2 + 3*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 2. Let m be f(3). Let k = m + 7. Suppose -4*u + 2*h + 184 = 6*h, -4*h + 138 = k*u. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 3*w - w**3 + 1 + 4*w - 3*w. Let l be u(-4). Let v be 3\/15 - 42\/l. Solve -2*h - 13 = -3*s, h = -2*h - v*s - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqxx when four letters picked without replacement from pxxkkipqpp?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 125*j - 7437. Let y be t(-44). Which is the third biggest value? (a) y (b) -11 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 70*r**2 + 1234*r + 53. Calculate the lowest common multiple of x(40) and 628.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*o*y**2 - 1817*m*o*y + 63*o*y - y**2 - 5*y wrt m.\nAnswer: 2*o*y**2 - 1817*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from prrxaaaairrv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 18486954?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -13*g + 56 + 27 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 49*f**2 - 50*f + 2216. What are the prime factors of p(35)?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 637*(5 + -2) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 161 = 12*o. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -719, -1444, -2183, -2942, -3727?\n\"Answer: -d**3 - d**2 - 715*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 16 + 68 = 0. Suppose 2*j = k + 2170, g*j - 3*k + 1078 = 8*j. List the prime factors of j.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702307 (base 10) to base 3\nAnswer: 1022200101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:49 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30983737*k**3 - 4781*k + 654 wrt k.\nAnswer: 185902422*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3 + 7*u**2 + 2*u + 7. Let j(l) = -7*l**3 + 6*l**2 + 2*l + 6. Calculate 7*j(z) - 6*k(z).\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 times -816040?\nAnswer: 348449080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Let d = m - 2. Solve -d*i = 2*r - 16, -2*r = -3*i + 3 + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3943 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18605.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - t**2 + 3*t**2)*(4*t**2 + 0*t**2 - 2*t**2) + (523*t**2 - 2*t**3 - 523*t**2)*(-t + 3*t + 0*t).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -11*k - 6. Is k less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -475 - -480. What is the third smallest value in 1\/4, -0.3, -45, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5) + 0)\/(16398\/(-13665))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -26. Let a = -12 + w. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18539*r + 3*r**2 - 14 - r**2 + 18536*r - 4*r**4 to u*r**4 + g*r**2 + z + s*r**3 + v*r and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404960 divided by 20248.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11246 is divided by 1225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 - ((-131 - 27) + 46)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21180 divided by 2118?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832035501?\nAnswer: 3, 11, 47, 178817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 4441532?\nAnswer: 4441455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y + 234*y + 36820 = -92*y - 96*y for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3269 from 132290.\nAnswer: 135559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79497 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + d - 6. Let k(h) = h**3 + 7*h**2 + 2*h. Let g be k(-3). Suppose 6*l = l + g. Let n be p(l). Solve 3*y = -n*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84)*2 + sqrt(84)))\/(3*sqrt(108)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/45)\/((-2)\/27). Find the third derivative of 9*s**5 - p*s**5 - 33*s**2 - 30*s**5 wrt s.\nAnswer: -1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 202. Let d = 117 + m. What is the highest common factor of d and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*b - 32218 + 7374 - 80404 = 0. Which is smaller: b or -1146?\nAnswer: -1146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/60 and 50\/7911.\nAnswer: 158220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1725004466 and 0.03.\nAnswer: 1725004466.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + o - 6. Let v(p) = -2*p - 3. Let q be v(o). Let n be 7 - (-8 + 4 - q). Solve 0 = -k + 5, r + 0*k = k - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94272.93mg to nanograms.\nAnswer: 94272930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*o + 10 = 3*u, -4 = -2*u - 4*o. Let f(h) be the first derivative of 133*h**3\/3 + h**2 - 3*h - 1. Is f(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -346 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9 + 3)*(2*c - 2*c - c) - 6*c + 3*c - 2*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 37 = 8*x. Calculate the least common multiple of x and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3503465 (base 7) to base 13.\nAnswer: 12462b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -48. Let q = 0 - -22. Let p = q - 11. What is the least common multiple of i and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 j, and 1 e when four letters picked without replacement from {e: 3, g: 4, y: 7, j: 3, u: 1}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:47 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1, 2, -1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -4 + 0*i - 7\/3*i**3 + 0*i**2 + 0*i**5 + 3\/2*i**6 + 0*i**4. Find the third derivative of g(j) wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*y**2 + y**3 + y**3 + 259*y**2 + 251*y**2.\nAnswer: 2*y**3 + 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.0436?\nAnswer: 0.01308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26055 (base 7) to base 4\nAnswer: 1223310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -a. Let h(x) = 4*x + 17. Let z be h(-5). Is a - (-3 + -74 - z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 11*k**2 + 32*k - 38. Let z be x(8). Solve z*s - 27 + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 3. Does 7 divide z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**4)\/(p**(-15)\/p))\/(p*p**(-11)*((p*p**(-14)*p)\/p)\/p) assuming p is positive.\nAnswer: p**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1000*x - 1082. Calculate f(1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s + 7, -1183 = -4*o - 3*s. Calculate the highest common factor of o and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bae when three letters picked without replacement from eeeeeeaeeeb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1213 - -3937. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-o + 1 - 1) - 8*o + 11*o - 11*o + 2*o - o - 3*o)*(0*o**3 + o**3 - 2*o**3).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12523 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 + 8*x - 4. Calculate i(-9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 48 = -72. Let u = 20 + z. Let n be (-30)\/56 + 12\/42. What is the closest to n in u, 1\/3, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + d + 27 - 6 = 0, -d = 5*v - 19. Suppose 4*w - 3*y = 31, y - 15 = v*y. Let l(g) = g**2 + w*g**2 + 0*g**2. Let b(x) = -x. Give l(b(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 669609176 = 337473702 - 695044526. What is r rounded to the nearest one million?\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13928177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 78. Suppose 237 + 93 = f*i. Suppose -5*v = 3 - i. Solve u - v*u - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20082 and -6314.\nAnswer: -6313.79918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 28. Put 0.4, u, 2\/11 in ascending order.\nAnswer: 2\/11, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117658753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004176793 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3797736 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 4) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7352*t**3 - 2*t**2 + 4*t - 3. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 3, 10, 21, 36, 55?\n\"Answer: 2*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -197. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46152 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(216))\/(sqrt(3) - (sqrt(3) + sqrt(24)\/sqrt(288))).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 8\/37, 2\/51, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143.1527 + 0.1473. Let o = 160 - k. Let s = o - 1.3. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22*n = -90. Suppose 185 = n*f + 2*x + 177, f - 6 = 4*x. What is d in 0 - 1\/2*d**3 + 3\/2*d + d**f = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 3*k)*(8217 + 105*k - 2*k**3 - 8217) + 5*k**4 - 2*k**4 + 3*k**4.\nAnswer: 4*k**4 + 105*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let t be r(-1). Suppose 2*i - 4 = -0*i, 4*i = 2*a - 10. Let z = t + a. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 - 26a770?\nAnswer: -26a819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/12)\/(12\/774) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290466.\nAnswer: 2, 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 - 0.3843. Round f to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821345 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7429 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11 = -4*v, 679*v - 5*u - 3*u = 687*v - 12*u + 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a1?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/8 + 3 + 1218 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6678 from 2274095.\nAnswer: 2280773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494866 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117016 - -472006. Suppose 3*b - 71010 = 2*b + 5*y, -5*y = 5*b - v. What is b rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1176 and 137\/16321704?\nAnswer: 16321704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-18)\/(3 - 4). Let a(j) = -2*j + 32. Let c be a(n). What is the derivative of m - m - 1 + 7*m - c*m wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*(-2 + sqrt(1331)*-1) + 4 + 0))**2*-5.\nAnswer: -106800 + 3520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:39 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410*v = -2626*v - 9728 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let f = 176 - 176.05. Put f, -2\/13, p in descending order.\nAnswer: p, f, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:27 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 78. What is the least common multiple of v(-5) and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 - 6*j + 8. Let x be z(2). Let i be 10\/(-4) - -2 - 70\/x. List the prime factors of (-15)\/(-30) + 141\/i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 17*o**2 - 12*o + 9. What is the units digit of l(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -4*h**2 + 339*h + 21. List the prime factors of n(0).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -0*h - h + 5*c, -3*h + 544 = -4*c. Let x(k) = 11*k + 72. Let d be x(0). What is the highest common factor of d and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46613 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59832600.\nAnswer: 2, 3, 5, 99721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.387 + -26.386955361. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -10) + 5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x + 2. Let u(z) = -20*z + 2. Suppose -172*q + 310 = -206. What is q*u(o) - 2*v(o)?\nAnswer: -18*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 9114*x - 12210624.\nAnswer: -(x + 1632)*(x + 7482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 3240?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 1. Let f = 4 - -1. Let t(q) = -q - 2. Let k(a) = f*y(a) - 3*t(a). Find the first derivative of k(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*d + 4 = 0, -2*m - 43*d + 38*d = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 3*u, -4*u - 4*f = -f - 22. Suppose c - 3*n - 3 = 0, -5*c + 4*n = -4*c - u. Find a, given that c*a + 0 + 2\/9*a**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -17*j + 13*j, 2*j - 114 = 3*r. Let a be (3 + -4)\/(166\/r). Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l + 489. Let c(q) = 33. Let d(o) = 15*c(o) - j(o). Determine d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 67, 1.32, -0.4 in ascending order.\nAnswer: -0.4, 3\/4, 1.32, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633170 is divided by 136080?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -26. Let s = 11 + -9. Put 3, a, s in descending order.\nAnswer: 3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193875 divided by 517.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18091*s**2 - 102*s + 6863475 wrt s.\nAnswer: 36182*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.56 - 42. Let s = g - -0.14. Which is the nearest to -2? (a) -4 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 + -6 - 22) - (-167 - -174).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -14*r**5\/5 - r**4\/12 - 17*r**2\/2 - 689*r - 1. What is the third derivative of d(u) wrt u?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5944 and 24519?\nAnswer: 196152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15439957, -30879919, -46319881, -61759843, -77199805, -92639767?\n\"Answer: -15439962*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 - 4*h - 3. Calculate the remainder when y(-2) is divided by 1\/((-26)\/(-24) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-72))\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 113. Let x = 101 + h. Suppose 0 = -2*a - 5*l - 19, 3*l + 4 = -2*a + l. Solve -a*y + x = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 4*k)*(0 + 0 + k)*(-5 + 1 + 1).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 - 5 = 0. Let y be -1 + -9*((-4)\/6)\/(-1). Let n = -8 - y. Sort o, 0, -9, n.\nAnswer: -9, o, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337795668.\nAnswer: 2, 3, 7, 1340459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k + 43*k + 29*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4025.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 517*i + 350. What are the prime factors of k(4)?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:00 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/b**4*(b**12\/b)\/b*b*b\/(b**(1\/3)*b))**29)**49 assuming b is positive.\nAnswer: b**(58261\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4965, 6412, 7949, 9582, 11317, 13160?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14 (b) 1\/2 (c) 5\/3266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(6\/3))\/1. Solve x = -5*i, 5*g = -4*i - 33 + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 1104\/77 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 - 71 = -9*s. Let q = 54 - s. Suppose -2*o + q*g = 10, o - 5*o - 3*g = -35. Solve 0 = 5*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (277576\/(-24) + -1)*-3. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -189?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21980 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2690618 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 44 + 208 = 0. Let a = f - -72. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3073667518 + 3073667560.99999937. Let i = 42.03 + 0.97. Let n = f - i. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 56\/(-7) + 7 - (-52)\/1?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**4 - 2459475*p**3 + 14141320*p**2.\nAnswer: 5*p**2*(p - 122968)*(4*p - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 720\/2025 + 2\/(-15). Determine k, given that 0 + 2\/9*k**3 + 0*k**2 - a*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -607 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (18 + -16)) + (-3 - (1 - (6 - 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8637, -18760, -28883, -39006, -49129, -59252?\nAnswer: -69375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i**2 + 3*i**2 + (-2*i + i + 4*i)*(-i + 2*i - 3*i) + 0*i**2 + 2*i**2 + 0*i**2)*(-1 + 2*i + 0 - 2*i**3 + 6).\nAnswer: 6*i**5 - 6*i**3 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205826*(7 + (-95)\/6 - -9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749705 divided by -68155.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-15))\/(-2*(-1)\/(-80)). Solve -4*p - 17 = -x, 5*p - 2*x - x + s = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 51*u**2 - 241*u + 837. What is n(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 298263716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1657 + 2359. Calculate the remainder when y is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 765*i**3 - 9190*i**2 - 34305*i + 450 = 0. What is i?\nAnswer: -3, 2\/153, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6946421579?\nAnswer: 23311, 297989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -312 in decreasing order.\nAnswer: -0.4, -2, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340843 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 (base 5) in base 14?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1206 - -3993. Suppose b = 4*c - 557. Suppose -c = -10*o - o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.374 - -10.096. Let h = 0.53 + d. What is the biggest value in h, 1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(128)*1)\/(5*sqrt(64)) + 3 + -4.\nAnswer: -1 + 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 2*h - 27. Let q be g(5). Let p be (q + (-42)\/(-6))\/(-1). Solve -5*i = p*v + 5, 3*v + 2*v = i + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12*w - 11*w = -5713, -5*w + 5707 = 2*o. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29283 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/(-84) + (-10)\/((-60)\/9).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304)*3 - ((2*sqrt(4598))\/sqrt(2))**2 - (5 + (sqrt(1216) - 1*(sqrt(1216)*2 - sqrt(1216))) + 3).\nAnswer: -9204 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:08 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*h - h + k, h = -2*k + 6. Solve h = -2*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 + 7*y - 4. Let w be c(6). What is the third derivative of u**2 + 7*u**4 - 3*u**4 - u**2 + 2*u**w wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*o**2 + 9\/2*o**3 - 63 - 435\/2*o.\nAnswer: 3*(o - 21)*(o + 2)*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61016 is divided by 29787.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + 12. Suppose -4*r + 11 = -3*r. What is the remainder when g is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42606 (b) -15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28806 and 0.2.\nAnswer: -28805.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 252, 560, 990, 1542, 2216?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((18 - 11) + -2 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 3, 0, -5, -12, -21?\n\"Answer: -l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/21 + (-8)\/(-6) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/14 - (-4)\/14. Let c(v) = 0 - 1 - 3*v - 1 + v**2. Let l be c(5). What is the highest common divisor of l and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 450*r**2 + 2*r + 3245. Let k(q) = 2*q. What is c(k(p))?\nAnswer: 1800*p**2 + 4*p + 3245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322 + 59*m + 322 - 59*m - 6*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 5*w - 3*n, 2*n = 1193*w - 1138*w - 664 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**7\/63 + p**5\/15 - p**3\/9 - 4*p - 1. Let d(q) be the first derivative of n(q). Find s, given that d(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -27a?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - y**3 - 1 + 1 - 6*y**2 + 5*y**2 to the form g + f*y**2 + i*y**3 + p*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r. Let u(n) = 7*n - n - 9*n. Give u(j(i)).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10302 - -17580941852\nAnswer: 17580931550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(5\/10)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6554922*m**2 + 20*m + 251585.\nAnswer: -13109844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3377311, 3377308, 3377305, 3377302?\n\"Answer: -3*x + 3377314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4801 in 1, 4, -1\/8, 40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*m**3 + 95*m**3 - 97*m**3)*(87 - 87 - 17*m).\nAnswer: -2193*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102550339930 - -102550339871.287236091. Let s = g - 0.287212491. Let c = 59 + s. What is c rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*2\/16*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1357048.2 months?\nAnswer: 11308.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 + 4*h - 5. What is x(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -982 (base 11) to base 13.\nAnswer: -6c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = 0, 0 = -4*v - 2*x + 83519 + 155503. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.8622\nAnswer: -0.25866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (21 - 8)) + (0 + 3 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203 (base 4) in base 2?\nAnswer: 11100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -10. Let s be 26\/h - 9\/(-12). Solve s*a + 0*n = -5*n + 7, -1 = a + 4*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -47. Suppose -315 = -b - 4*w - w, 4*w - 12 = u. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65462036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 2*i**4 + i**4 + (8*i - 3*i - 12*i)*(5*i**2 - 3*i**2 + 0*i**2)*(-2 - 2*i + 2) - 5*i**4 + i**4 + 39*i**4.\nAnswer: 65*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -709 - -727. Solve -30*o = -21*o - u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 17 = -2*r, 2*r - 2*x + 40 = 42 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 11939*d - 15 = -11937*d, -51*d = 153 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 169273719, 169273717, 169273715, 169273713, 169273711, 169273709?\n\"Answer: -2*z + 169273721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2. Let w be (22\/(-14) + 3)\/((-4)\/(-28)). Suppose 2*n - 6 - 18 = 5*r, -3*n = -r - w. Give i(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 2\/3 (c) -2\/5 (d) -1\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 17 + (77 - 90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2*s - s - 2*s) - 2 + s + 2 - 42 + 88 - 46 - 4463*s.\nAnswer: -4464*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 288249991 to the power of 1\/2, to the nearest integer?\nAnswer: 16978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**3 - 6*u**2. Let w = -7 + 11. Suppose 3*k + 9 = n - 4, -w*k = -5*n + 65. Let o(m) = -4*m + 4*m + 15*m**3 - 13*m**2. What is n*h(s) - 6*o(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m - 43. Let c(s) = -8*s + 22. Let j(o) = -5*c(o) - 3*r(o). Let p be j(-6). Suppose -3*w + p = -728. List the prime factors of w.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5532956141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -62*r**3 - 38*r**2 - 174*r - 11. What is the units digit of w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10158 (base 13) in base 14?\nAnswer: a6d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/11)\/(g**(2\/5)*g)*(g\/(g*g**15*g))\/(g**(-22)\/g*g) assuming g is positive.\nAnswer: g**(223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 17*w - 205 + 135 + 235, -5*w + 2*a - 51 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.5 - 11.7. Let n = 1.4 + y. Let b = -4 - -4.4. What is the second smallest value in n, 4, -0.2, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 2157900*c**2.\nAnswer: -4*c**2*(c - 539475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/(-12) + 3\/18. Let v be 178\/6 - q\/84*-7. What is the greatest common factor of v and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-29) assuming z is positive.\nAnswer: z**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, m: 4, o: 10}. Give prob of sequence oozo.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 2. Let v be g(6). Let n be ((-44)\/8 + 4)\/(2\/(-16)). Let l = v + n. Solve -2*h - l + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j*j**(-2\/15)*j)\/((j\/((j*j*j**(-2\/17))\/j))\/(j*j**0)))\/((j\/j**3)**(-13))**(1\/3) assuming j is positive.\nAnswer: j**(-2097\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 700 + -686. Suppose -9*s + y = -76. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000308281052 rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 + j**2 + 3*j**2 + 6*j**2 to the form h*j**2 + d + o*j and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13122 >= 13123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 111877117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)*(-5 + (-14)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121.18 + -0.18. Let t = -42 - r. Let w = 164.34 + t. Round w to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7796.\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 786288 + i + 262110 + 262078 - i + 262100.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) -0.1 (c) 2\/31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*s = -5*s - 3, 9 = 3*t - 3*s. Let p(n) = -3*n**3 + 0 - 3 + t*n**3 - 1 - n. What are the prime factors of p(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955\/15*(-12)\/(-4).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 7*z**2 + 13*z - 17. What is a(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001131485 rounded to six decimal places?\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 9*q + 1\/90*q**4 - 2\/15*q**2 - 1\/45*q**3 + 0. Find w, given that o(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12 - (-12 - -7) - -10) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*h + 3*i, -5*i = 5*h - 0*i + 5. Let u(p) = -p**2 + 3. Let o(r) = -r**2 + 1. Determine h*o(k) + 3*u(k).\nAnswer: 3*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 bigger than 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:53 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3032 - 1504. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*k**2*z**3 - k**2*z**2 - 2316*k**2 + 9*k*z**3 wrt z?\nAnswer: -66*k**2 + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/((-1908)\/(-216)))\/(9\/(162\/84)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 194*h**2 - 7*h - 437. Let m be b(-97). Is m less than 242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753736283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342 - r**2 - 9*r + 336 - 673 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -779700 rounded to the nearest ten thousand?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let t = w - -4. Suppose 5*j + 3*i = -9, -2*i = -t*j - 4*i - 6. Let b(u) = -u**3 + u**2 + 2. What is b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 5. Let d be ((-15)\/6)\/((21\/6)\/7). Let m(h) = 17*h - 9. Give d*t(y) - 3*m(y).\nAnswer: -6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -78. Suppose 7*w - 12*w + 100 = m. Let p = w - 7. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10509552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 45. Suppose 0 = -0*k - 5*k + q. Suppose 0*u + k*u - 87 = -2*b, -4*b - 2*u = -134. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + -0.27. Put -1\/3, 4, v in decreasing order.\nAnswer: 4, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (88 - (14 - 91))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - o**4 - o**4 + (5*o**2 - 3*o**2 + 0*o**2)*(0*o + 0*o + o**2) - o**4 - 3*o**4 + o**4 + 4*o**4 + o**4 - 7*o**4)*(-5*o - 79*o - 13*o).\nAnswer: 388*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209752970 by -38.\nAnswer: -5519815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 90*z**2 - z - 146. Is 3 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxv when three letters picked without replacement from vyvyvyxyyyyvvvxyyylv?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -1382.34?\nAnswer: -140998.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00397509 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 786255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1914\/7 - 274. Let s be (2 - 1)\/(-1) + 6. Let v = -6 + s. Is v at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/6 - w**3\/6 - w**2\/2 + 2*w. Let m be y(-1). Find the third derivative of 11*s**m - 8*s**2 + s**6 + s**6 - 7*s**2 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271315367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 - 7*r + 17. Let t be n(-7). Suppose 15*s - t = 9*s. What is the remainder when 54 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 + 2*l + 24. Let w be y(-10). What is the smallest value in 1\/3, w, -6, -1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436a9a (base 11) to base 13.\nAnswer: 1b55a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**6 - 5*p**5 - 14878*p**4 + 718011*p**2.\nAnswer: 480*p**3 - 300*p**2 - 357072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 53682140 = -251403052 - 86624808. What is s rounded to the nearest 100000?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277412748?\nAnswer: 2, 3, 3347, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**4\/24 - 5*a**2 + 6*a. Let m(r) = -44*r. Calculate w(m(g)).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139222994.\nAnswer: 2, 3, 7, 13, 43, 48523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 3, j: 10, g: 1}. What is prob of sequence eeb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p**2 - 2*p - 191. Give w(0).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -423 - -106. Let a = 571 + o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i + 12 - 8*i + 6*i + 22*i. Let t be s(4). What is the highest common divisor of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 61*n**4\/24 + 17*n**3\/6 - 6*n**2. Let t be j(6). Suppose -h + t = -18. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let b(x) = 4564*x. What is b(v(y))?\nAnswer: 4564*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 70*o - 90. Let r(f) = 7*f - 9. Let d(s) = -m(s) + 10*r(s). Let v(h) = h + 316. Calculate d(v(z)).\nAnswer: 3*z**2 + 1896*z + 299568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82858\/15 - -5524. Factor 8\/15 + w*u**3 - 14\/15*u + 4\/15*u**2.\nAnswer: 2*(u - 1)**2*(u + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - 21*h**2 + 5*h + 5. Let c(q) = q**3 + q**2 - q - 1. What is 5*c(v) + t(v)?\nAnswer: v**3 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3872534789.\nAnswer: 197, 19657537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d + 75*d = 81. Suppose -4*h + 3414 = 5*k, -k - d = -11. List the prime factors of h.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-14)\/35*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.83 - -21. Let a = -0.170009 + n. Round a to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4793513*u**2 - 4793634*u**2 - 2*u**3 + 12138*u - 12138*u.\nAnswer: -2*u**3 - 121*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 17 - 11 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 7*i - 7. Let d(t) = t**2 - 3*t - 3. Let z(b) = 7*d(b) - 3*p(b). Let f(h) = -h**2 - 5*h**2 - 3*h**2. Give f(z(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/25 - 46\/10. Let s = l - -9. Suppose -s*o = o - 10. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -71*p - 262. Let w(r) = 164*r + 526. What is 7*a(c) + 3*w(c)?\nAnswer: -5*c - 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(sqrt(1300) + sqrt(13)) + (sqrt(325) + (3*sqrt(325) - sqrt(325)) + sqrt(325))*1)**2.\nAnswer: 27508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*o - 856935 + 648825 - 4644795. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 506. Is n a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, l: 7}. Give prob of sequence lvlv.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 588 + 12*q**2 - 588 + 22*q**4 wrt q.\nAnswer: 528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*a + 56*a + 374. Suppose 8 - a = -2*o. Calculate the greatest common divisor of o and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:33 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.00302, -122, -4.\nAnswer: -122, -4, 2.00302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-4)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0.03, 5, -1, -9\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 671\/4 - 168. Which is the smallest value? (a) 3 (b) n (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40143 (base 5) to base 8.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 77861511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 - (4 - 0)) - (0 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 539\/6. Let r = 500119\/9 + -55457. Let n = 113 - r. Find the common denominator of m and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - i**3 + 0*i**3 + 3 + 0*i**3 + 3*i. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1504737 - 1?\nAnswer: 1504736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 545*v**2 - 439814*v\/3 - 269\/3.\nAnswer: (v - 269)*(1635*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/5 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2 + 9*u + 4. What is m(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2605.0179 to the nearest 10.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + c - 5 = 0, -5 = -3*z - 4*c + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2412*r + 1607 with respect to r.\nAnswer: -2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 131 + 9 = 0. What is the greatest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2\/15 (c) 0.4 (d) -0.3 (e) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086.568 years in centuries?\nAnswer: 10.86568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. Let y = 211 - 458. Let t = y - -252. Which is the nearest to m? (a) 4 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5 + 82*n + 6 - 16*n. What is the units digit of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -829 or -836?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(15\/(225\/20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 2, a: 1, f: 1}. Give prob of sequence xab.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -40 - -1) + 49\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*r - 12, 62*r + 70*r + 72*r - 3*y - 6 = 201*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/125*15)\/((-18)\/(-30)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 + 60*w**2 - 632*w - 2518. Let m(c) = -c**3 - c**2 - 7*c - 1. Let t(y) = 5*m(y) + q(y). Factor t(x).\nAnswer: -(x - 29)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 - 0 - 3)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1424*k**4 - 2903 wrt k?\nAnswer: 5696*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-3))\/(1 + -5)*4. Suppose 5*g - 21 = 2*g. Suppose -a*k - 4 = -0*f + 2*f, 3*k + g = -4*f. Is 2 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 38, 121, 244?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + -15 - -34).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 29*d + 19. List the prime factors of j(16).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.0098. Round u to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 312, -3, -324?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*((i\/(i**0\/i))\/i)\/i)\/i)**46)**(-23) assuming i is positive.\nAnswer: i**(-1058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7 + 15*q + 21 - 20*q + 6*q. Calculate the remainder when 76 is divided by b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 3. Let a(f) = 2*f**2. Determine t(a(u)).\nAnswer: 8*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*i = 3*i - 21, 4*i = 5*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 24*b + 4. Let f(q) = 111*q + 18. Let t(s) = -2*f(s) + 9*x(s). Let m(n) = 93*n. Calculate m(t(w)).\nAnswer: -558*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4766672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**4 - 24*w**4 + 2*w**3 + 3*w**2 - 1 + 2*w + 8*w**4 to the form f*w**2 + m*w**4 + q*w + n*w**3 + x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 + 3*n + 1. Let l be q(5). Let c(t) = -18*t + 1. Let i(z) = -251*z + 26. Let x(k) = -14*c(k) + i(k). What is x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 128*x**3 + 20*x - 127*x**3 + 9*x**2 - 24*x**2 + 2. Let f be d(14). Suppose f = 6*j - 10. Calculate the greatest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*n - 7, b + b = -5*n + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*n + 38*n**2 + 10*n**4 + 0*n + 3*n**3 + 12*n**3 + 0*n**3 - 36*n**2 to the form o*n**3 + u*n**2 + h*n**4 + x*n + z and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 8) in base 15?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2549, -5094, -7639, -10184, -12729, -15274?\nAnswer: -17819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m + 2. Let l be a(2). Let s = -13 - l. Suppose -5*x - 72 = i - 4*i, -s*i + 5*x + 120 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5 + 65 = 0. Solve -5*k + 5*v - 15 = 0, -5*k - 3*v - 13 - r = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 5\/(5\/(-3)). Let x(o) be the first derivative of 0*o + 2\/3*o**3 + 0*o**r + 1. Let i(w) = -2*w. Calculate i(x(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 599656011711\/3115 - 192505940. Let z = 96\/89 - q. Find the common denominator of -33\/50 and z.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(1700)).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6929 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31.5 or 0.23?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 2*l - 4. Suppose -10 = 2*n + 3*n. Let q(g) = -g**2 - 1. Let s(v) = n*x(v) + 10*q(v). Determine a, given that s(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4803603, 9607211, 14410819, 19214427, 24018035, 28821643?\nAnswer: 33625251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2531 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 12 - 7 = 71 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22768 (base 9) to base 7.\nAnswer: 62225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60030994*a**2*j**3 + 41*a**2*j**2 - 2*j**3 - 4780*j**2 - 7*j wrt j.\nAnswer: -360185964*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j - 6*j**2 - j**3 + 2*j**3 + 0*j. Suppose 2*w = 5*w - 15. What is q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (16 - 12 - 25 - -21)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/208 and -65\/85736.\nAnswer: 2229136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 - 1. Let f be y(-4). Let x be -3*1\/4*-4. Let u = x - 3. Which is the nearest to u? (a) 2\/9 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**4 + 8*x**4 + 56 + x**5 - 46*x**2 - 52*x - 277277*x**3 + 277302*x**3 = 0 for x.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2982? (a) -0.093 (b) -39\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -2, 1, 755 in ascending order.\nAnswer: -32, -2, 1, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 51 = 4*n, 3*n = -f - 0*n + 19. Suppose -5*p = 2*u - 36, -4*u + f*p - 4*p = -72. What is the remainder when 33 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253126 <= 7253128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 22610*g**2 + 113155*g - 90540.\nAnswer: -5*(g - 4)*(g - 1)*(g + 4527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let g(k) be the third derivative of -k**4\/8 + 2*k**2. Determine g(w(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r**5 - 40*r**4 - 100*r**3 + 80*r**2 = 0 for r.\nAnswer: -2, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18329 + -18305. Calculate the smallest common multiple of 5796 and w.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-40))\/((-4)\/16)*6\/27?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776902551.\nAnswer: 3, 258967517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4*d - 792. Calculate the remainder when 248 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-8)\/(-8) + -1. Solve 15 = -m*a - a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1686 + 1984 = 10*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.6. Which is the third biggest value? (a) -0.7 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n + 2. Let q(b) = -119*b - 49. Let m be ((-251)\/(-2))\/((-5)\/(-10)). Let y = m - 253. What is y*q(c) - 49*s(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3166788639+3261\nAnswer: -3166785378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b + 61*b - 21 = 0. Let h = 0 + 0. Suppose h = b*j - 10*j + 309. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.833758 centuries to millennia.\nAnswer: 0.3833758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/22 and -47\/156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-8)\/544*(-213)\/(-1065).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.086 - 10.914. Let b = -23 - f. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:37 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -695205*-136.\nAnswer: 94547880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, -0.1, 66 in ascending order.\nAnswer: -0.4, -0.3, -0.1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -603*r**4 + 8*r**3 - 9339*r**2 wrt r?\nAnswer: -14472*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 34*w**2 - 160*w + 200.\nAnswer: -2*(w - 10)*(w - 5)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = y + 25305 + 11499, -4*s - 2*y + 29446 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7 + 2 = 4*k, 3*k = 2*d + 2. Suppose -2*s + 8*f - 3*f + 10 = 0, 3*f = k. Suppose -25 = -s*u - j, -4*j - 20 = -4*u - 0*j. Solve -q + 0 = u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 216*h**3 + h - 1. Let x be t(1). Let d be 2\/5 - x\/(-10). Let p = d - -6. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c - 1030 = -5*x, 4*x - 2*c = 1032. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 + 0 - (-3 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-28))\/((-84)\/(-5488))\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1962603 - 1196774. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 14*h**2 - 72*h + 128. What is q(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 13. Determine z(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + 5\/10. Let o be (-5)\/(135\/21) + g. Put o, 1\/4, 1\/2 in ascending order.\nAnswer: o, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 30\/6 - -13. Let w(m) = m**2 - 99. Suppose j - 9 = c, 0*j - 2*j - 5*c + 39 = 0. Calculate the lowest common multiple of j and w(u).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*l = -109*l - 5*y - 23, 2*l - 3*y = 25 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -36*z**4 - 51*z**3 - 15*z**2 - 21. Let k(w) = 7*w**4 + 10*w**3 + 3*w**2 + 4. Let j(x) = 21*k(x) + 4*t(x). Factor j(s).\nAnswer: 3*s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95.45 - 627.65. Let u = -723.100003839 - q. Round u to 7 dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80521 is divided by 3108?\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125225 is divided by 327.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*86503.\nAnswer: 86503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j + h - 0*h, 2*h + 6 = 0. Suppose 2*g = j*l - 64, 2*g + 13 - 5 = 0. What is the greatest common factor of 112 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 95382492*o + 758151648344172 = 0 for o.\nAnswer: 15897082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 - 606*z\/5 - 72 = 0. What is z?\nAnswer: -60, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 7:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 11:23 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(39\/(-5876)*(-2)\/3). Solve -114*z + 6 = -f*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*y - 8838 = 0, -3*i = 5*y - 16748 + 3541. Let s = 44039\/10 - i. Let h = -149\/30 - s. What is the second biggest value in -1\/3, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.272655489 + -87.3\nAnswer: -87.027344511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 1\/5 + 124\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.932 - -0.068. Let t be (52\/18)\/(3\/9). Let p = 9 - t. Which is the biggest value? (a) p (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287112663?\nAnswer: 1287112663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 1 - 383)*(-1 + 0 + 2*x - x).\nAnswer: -302*x + 302","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i - 3 = -79*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 0 - (0 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 divided by 17?\nAnswer: 314\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + ((-6490)\/9)\/(-5). Let r = c - 147. Factor 0*m**2 + 0*m + 0 + 2\/9*m**3 - r*m**4.\nAnswer: -2*m**3*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 35*j**2 - 63*j + 102. Let c be u(-33). Suppose -4*l + 8 = -0. Let k = 0 + l. Solve -k*n + 13 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**2 + 8*a + 45*a**2 + 54*a wrt a?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12196962 and 6464.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12*g*g**(-28)\/g*g**(-19)*g*g\/(g*(g*(g*g**(2\/5))\/g)\/g) assuming g is positive.\nAnswer: g**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 110*v**2 + 38*v + 4182. Let r be l(-110). Factor -78\/5*g**r - 112\/5*g - 16\/5*g**3 - 49\/5 - 1\/5*g**4.\nAnswer: -(g + 1)**2*(g + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -0.6, -19, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -7. Let k(w) = -w**3 - 2*w**2 + 9*w + 9. Let t be k(-6). What is the greatest common factor of t and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*y**2 - 2 - 517*y**2 + 194*y**2 + 2.\nAnswer: -641*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*c**2 - c**3 + 0*c**3 + 3 - 8 to the form d*c**2 + s*c + a + b*c**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73303 (base 8) in base 16?\nAnswer: 76c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -71*r + 67*r + 12, 3*r = -5*w + 2. Suppose 172 = 8*i - 4*i. Suppose i = 5*y - 27. What is the smallest common multiple of y and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxoooox. Give prob of sequence oxxo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 - p - 1. Let b(g) = -4*g + 2*g - 124 + 123 - 7*g**3 - 19*g**2. Let j(i) = -b(i) + 5*u(i). What is the units digit of j(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.075 - 0.075. Which is the closest to 0.2? (a) 1\/32 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -6) + -9 - (0 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 + n - 2. Let v(u) = -u**2 + 24*u - 19. Let t be v(23). What is i(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(d**4 + d**4 + 0*d**4) + (-2*d - 5*d**2 + 3*d**2 - d)*(-2*d**2 - 3*d**2 + 7*d**2) in the form u*d**2 + q*d**4 + c*d**3 + j*d + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 + -10. Let z = s + 0.9. Let g = 0.7 - z. Put 5, g, 0.5 in ascending order.\nAnswer: g, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1819 - 1780. What is the remainder when 218 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 17 = -19*d. What is the remainder when 153 is divided by (-8745)\/110*(d\/(-3) + 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgggxxgggx. Give prob of picking 2 g and 2 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.40274\nAnswer: 0.20137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g**(1\/9))**(4\/5) assuming g is positive.\nAnswer: g**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -93, -136, -179, -222?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2267? (a) 3 (b) -2\/13 (c) 92 (d) -327 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 275*a**4 - 7*a**3 - 10113*a**2 wrt a?\nAnswer: 6600*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -18\/11 (c) -4 (d) 70 (e) -7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1174 + 578 = 3*g. Suppose 2*z - 157 = -l, -2*l - 2*l + g = -3*z. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52212615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 8, s: 1, z: 3, c: 5}. Give prob of sequence zc.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*z - 65, -6*z + 8*z + 4*f - 20 = 0. Let x be -4 + (2 - (-6)\/3). Solve -5*g = -z, x = -4*c + 2*c - g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 10 = -t + 2*h, 0 = -t - 2*h + 10. Let i(b) = 2*b**2 - 5*b + 16. Let a be i(t). Is ((-4)\/a)\/(26510\/13256 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1735390\nAnswer: 867695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(9048\/(-1808) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + ((-8)\/20*470\/8)\/(75\/30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let g(q) = 2 + 8 - 8. Calculate 2*g(o) - 3*i(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 5819100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252) + (sqrt(252) - ((5 + -5*sqrt(252) - sqrt(252) - sqrt(252)) + sqrt(252))) + 2)**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149313*u - 224084 = -147199*u for u.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812*k - 51263 = -4*c - 813*k, 2*c - 25645 = -5*k. What are the prime factors of c?\nAnswer: 5, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/70 - 521*b**6\/40 + 26*b**5 + 9*b**2 + 166*b. Solve z(v) = 0 for v.\nAnswer: 0, 1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052216 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 729313 to the power of 1\/2, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 4*j - 4*j)*(-2*j - 5*j + 4*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*(-417)\/(-278).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-15706.\nAnswer: 3141.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 697951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.273 and 16.\nAnswer: -4.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-88)\/8 - -6. Solve -4*q - 3*q - 14 = o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 24 = -19*z + 10*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6044 * -0.05\nAnswer: 302.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 10*u - 3. Let z be k(-10). Let x be (6\/(-3) + -2)\/1. Put z, x, 5, 2 in ascending order.\nAnswer: x, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (270 + -288)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*q - 101*q - 85*q.\nAnswer: -315*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1376, -2\/11, -1, -3 in ascending order.\nAnswer: -1376, -3, -1, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216209 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -43*1 - (-5 - -5). Let d = -79 - g. Is 121 - 1 - d\/12 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 {h: 6, l: 10, n: 2}. Give prob of sequence hhl.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l**3 - 62*l + 114*l - 59*l as q*l + u*l**3 + c*l**2 + r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -13\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, -2, -68, -6, 9 in descending order.\nAnswer: 9, 0.2, 0.1, -2, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i + 22 = 0, -2*s + 3*i = -7 - 12. What is the derivative of 2 - 2*p**2 - p**s - 1 - 5 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + c**2 - c + c + 2*c**2 in the form y*c + h + b*c**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4862 is divided by (12\/(-9))\/((-3)\/(-3)*3\/(-36)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 2761*d**3 + 382679*d**2 - 879755*d + 250834 = 0.\nAnswer: 1\/3, 2, 167, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmvmmxmexmnmn. Give prob of picking 1 e and 2 n.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915\/(-682)*(-1778)\/47117?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbxjjb. Give prob of picking 1 b and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 6*q - 3. Let g be w(-5). Let v be (-3 - -19)*1\/g. What is the second derivative of -z**2 + 4*z - z - 5*z - v*z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + 3*1*sqrt(17)*-4)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 949332?\nAnswer: 50314596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2739 - 2736. Sort 77, v, 1, -1.\nAnswer: -1, 1, v, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 5*k + 4*k)*(2 + 8 + 2)*(-147 - 112 - 133) in the form z + y*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + (sqrt(34) - (sqrt(374) - (sqrt(374)*-3 - sqrt(374)))\/sqrt(11)))*-2)\/(-3*sqrt(162)*2).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -3.01. Let a = -7 - -3. Let g = a - r. Sort g, 0.2, 3 in descending order.\nAnswer: 3, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 2*u. Let c(n) be the third derivative of -1\/60*n**5 + 1\/6*n**4 - 2*n**u - 2\/3*n**3 + 0 + 0*n. Solve c(f) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11242 is divided by 311.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26331064 is divided by 56?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 3.01. Suppose -5*s + 3*l - 140 = -2*l, -2*s + 5*l = 47. Let w = s - -30. Which is the smallest value? (a) w (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -48, -71, -94, -117, -140?\n\"Answer: -23*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = 5*a, 0 = -v + 4*a + 13. Solve -3*j - 12 = -2*r, -4*r - 3*j = -v - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2866 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7*g = -2*j, 5*j - 3*g - 21 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t**2 - 2*t - 1. Suppose -p = -13*m + 16*m - 372, -486 = -4*m + 2*p. Let d = -124 + m. Calculate x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 61\/(-4). Suppose -3*b = 2*b + o. Is (26\/(-1))\/(6\/b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.9929 - -19.6572. Let b = h + 0.0657. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 4 (c) 2\/9 (d) 0.37 (e) -3 (f) -9 (g) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/32)\/((-5)\/14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(320) + -2*(sqrt(320) + (sqrt(320) - sqrt(320)*-1 - sqrt(320))) + -6*(sqrt(320) + 1 + sqrt(320) - sqrt(320))) + 2)**2.\nAnswer: 89280*sqrt(5) + 2595844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x - 0*x. Solve m + 9*r + 2 = 4*r, 5*m + x*r = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from elmrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 - -13 - -1) + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4557101?\nAnswer: 59, 77239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/3, -2, 4\/5, 0.4, 39 in descending order.\nAnswer: 39, 7, 4\/5, 0.4, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (51\/12 + -4)*(22 + -10). Solve -3 = -4*o + 3*i - 10, -c*o + 3*i = 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + -158. Let v be 168\/f + (0 - 3). Solve -15 = 2*o - 5*k, o - v*o = 3*k - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - 4) - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -4\/3, -2\/3, 17, 0.01, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4 + 3243*l**3 - 98322*l**2 + 704832*l + 806400 = 0. What is l?\nAnswer: -1, 16, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/(0 - 1 - -4). Suppose -36 - 40 = 2*f. Let v = f + l. Which is greater: v or 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(-20)\/840*-24. Let x(l) be the first derivative of -l**4\/4 + 4*l**3\/3 - l**2 + 6*l - 1. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u - 1384 = -46*u + 47*u - 44*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -8. Let u be k\/(1 - (-8)\/(-5)). Suppose 9 = u*t - 4*y - 6, -15 = -5*t - 2*y. What is the greatest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11 = -y - 5*r, -4*r = -3*y + 18. Is 2302\/(y\/(-6)*(-18)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/2, -201, -2, 31, 1\/4, 0.1?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p + 86. Let s be b(9). Suppose 0 = 2*r - 8, -3*y + 0*r = -2*r + s. Which is smaller: y or 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/48 and 101\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -9*x + 14061. Suppose -k - 2*f + x = 0, -4*f + 8*f = 4*k - 18736. Let o = k + -1308. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 951079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1162*n**4 - 108350*n wrt n.\nAnswer: 13944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4220)\/(-211)*(-4)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 + 111*w**2 + 10*w**3 + 11*w**3 + 3 + 77*w**2.\nAnswer: -2*w**3 + 188*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 + 224472\/96. Suppose 272 = 3*b + w. What is b rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/297 or 109714?\nAnswer: 109714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-80)\/(-5))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 3.9. What is the closest to -1\/3 in -0.11, q, 3\/5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1257 = -17*x + 14*x. Suppose 2*q - q = l + 106, 4*q = -l + x. Does 39 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 11 - 20 - (-13 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 + -1 + (-8 - -13))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 28*p - 184. Let l be a(-17). Suppose -z + 8 = -l*n - 5, -7 = 3*n - 4*z. Sort n, -4, -103 in decreasing order.\nAnswer: -4, n, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -o + 117, -2*c - 2*c + 3*o + 105 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (866\/30)\/1 + 88\/660. Suppose 17*b - 277 = a. Solve -3*o - b = -z - 0*o, z - 8 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - 3) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 36*l**2\/5 + 34*l\/5.\nAnswer: 2*l*(l + 1)*(l + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-2\/5))\/w)**(-4\/13)\/((w\/(w\/(w*w*w\/(w\/w**(3\/5))))*w)\/(w*w**(-2\/5)))*w*w**(1\/9)\/w*w*w**6\/w*(w**1)**(5\/4) assuming w is positive.\nAnswer: w**(9773\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1)\/(15\/2*60\/(-18)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, x: 2, c: 1, f: 4, o: 2, z: 2}. What is prob of picking 1 c and 3 p?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -7, 4*k = 5*x + 825. What are the prime factors of (-4)\/12 - x\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 1817*q - 25772. Give h(468).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h - 20. Give t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5441*w**2 - w - 2. Let d(k) = -k**2 - 1. Let q(y) = d(y) - t(y). Is q(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 8307.\nAnswer: 8307.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 365.3. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -40, 4*s + 157 = 3*r + 189. Solve -27*k - 16 = -s*p - 23*k, 2*k = -4*p - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - (-12 + 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -8. Suppose -2*l - l = -f. Suppose 0 = 2*o + 6, -l*p + o + 0*o + 90 = 0. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(5520\/(-90))*70\/12*(-12)\/(-21)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, 0.3, 430.16, 1\/11, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -17*d + 19*d - 6, 12 = 3*w + 4*d. Do -14\/275 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12122 - -11?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2059602976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.3 (c) 0 (d) 38\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-468)\/(-1053)*90\/8. Let d = 18 + -1. Suppose -4*b - y + 17 = -90, -3*y + 69 = 3*b. Solve -b = j*c + 3*w, -2*w - d = c + 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2096 and 655.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = j, -5*w = -j + 15 + 9. Suppose b = -b + j. What is the third derivative of 16 - 16 - y**b + 2*y**3 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65716 and 1330?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -z + 4*z. Let h(d) = d + 1. Let a be h(6). Solve z*c - 1 - a = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -108?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 0.5, -16, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002072786 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1599762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-3)\/(-2))\/(27\/990)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-2480724.\nAnswer: -173650.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 7. Let c(b) = -b - 8. Let i = -24 - -40. Let n = i + -9. Give n*t(m) - 6*c(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -154*a + 1743. Let f be r(10). Solve 12*g + f = -17*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/2 + 3*u**2\/2 - 4*u. Let a be s(-3). Solve -3*b = n - 5, b + b + a*n - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 725 - 7978\/11. Which is smaller: d or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/13)*o)\/o*o**18 assuming o is positive.\nAnswer: o**(237\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)\/sqrt(7) + sqrt(52))\/sqrt(4) + -3*(1 + sqrt(13)))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*d - 4 - 2*d**2 + 40*d + 6*d**2 as i*d + f + q*d**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7107612 (base 9) to base 10\nAnswer: 3784736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -201 + -69 + 0 + -1. Let w = 1364\/5 + i. Factor w - 3\/5*k**2 - 6\/5*k.\nAnswer: -3*(k - 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 6 (b) 28 (c) -0.1 (d) 1\/1715 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by -472?\nAnswer: -175\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1819 + -54. Suppose -3*w - 4*h = -7*w + 3488, 2*w + 5*h = k. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9921970 by 5543.\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (6 + -14) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/13, 0.102, -0.2, -3.\nAnswer: -3, -5\/13, -0.2, 0.102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 10101112?\nAnswer: 10101334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, u: 12, a: 2, p: 3}. What is prob of sequence up?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228906 + 228903.1. Let q = 1.99 + -2. What is the biggest value in 4, q, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*u - 3 - 40 = 0, -20 = 5*u. Let s = -413 + 1035. Let w be s\/12 - (-10)\/(-12). What is the greatest common divisor of r and w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023336 = -67*w + 1061771. List the prime factors of w.\nAnswer: 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790802 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 176. Let y be f(0). Suppose -d = -5*d - 4*d. Suppose 3*k + 5*c = 73, d*k + 4*k = -4*c + 84. Calculate the greatest common divisor of y and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 - 4*k - 11. What are the prime factors of c(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2546184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-16)\/(-10)) + (-20 - (-114)\/24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 785 + -1345. Let q be -1 + 1 + a\/(-16). Let r = -10 + 14. Solve 0 = r*g + 15 - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*m + m = -4, 2*s + 4*m - 16 = 0. Solve -f - 3*f - 16 = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (14 + -17) - (-47 - (16 - 9))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and -73\/4696.\nAnswer: 4696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108125 is divided by 2108108?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 + 17099*m**3 + 268*m + 47?\nAnswer: -12*m**2 + 102594*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580349061.\nAnswer: 3, 107, 602647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 155 + 1527. Calculate the lowest common multiple of 4 and f.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270854 or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b - 10*b + 10*b + (-172 + 11*b + 172)*(3 - 3 - 4).\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 - 3\/20*l**5 + 0*l**3 - 5\/2*l**2 + 0*l**4 + l. Differentiate f(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2189097357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.3 - 0.3. Let p = 12 - g. Let z be (-1)\/4*(-3 + 6). Which is the third biggest value? (a) p (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 256\/(-40)) + -3 + -2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Suppose -2*t + 4 = -2. Let z = -3 + -1. Which is the second smallest value? (a) t (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10063 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2529 divided by 43\nAnswer: 2529\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.03, 1, 56, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 1347\/4. Calculate the common denominator of d and 5\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-nine fifths of a kilometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(5\/(-140)*6). Let g(t) = 56*t - 14. Is g(f) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74632 and 8170?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 16099660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-323 - (9 - 3)). Let w = -46 + h. What are the prime factors of w?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 - 2 - 3 + h to s + w*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = u - 6, 0 = 2*u + 198*z - 203*z + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k*y**2 - 93*k*y + 40*k + 32724*y**2 - y wrt k.\nAnswer: -5*y**2 - 93*y + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 731435 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23851 - -23856. Let p(n) = 3*n**2 - 7*n - 7. Let d(k) = 4*k**2 - 6*k - 6. Calculate u*d(t) - 4*p(t).\nAnswer: 8*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*o**2 + 1112*o + 96.\nAnswer: 4*(o + 12)*(23*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4 + 3\/4. Suppose 2*k = 5*y - 11, -2*k + 5*y - 2*y - 9 = b. What is the common denominator of -97\/4 and (k + 64\/6)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.5, 42\/11, 3\/8 in descending order.\nAnswer: 42\/11, 0.5, 3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 11625?\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149, 326, 561, 884, 1325, 1914, 2681?\n\"Answer: 5*a**3 - a**2 + 145*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77691 in -0.1, 2\/3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57274593 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 16. Let p(y) be the third derivative of -y**7\/5040 + y**6\/720 - y**5\/10 + 2*y**2. Let b(d) be the third derivative of p(d). Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 131647.\nAnswer: 12\/131647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 166. What is the remainder when 35 is divided by n(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -15, -0.5, -10321 in increasing order.\nAnswer: -10321, -15, -13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 25.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Suppose -3*u + 5*u - 2 = 0. Suppose -3*j + u + 3 = -2*a, 0 = -a + 4. Put -1\/6, b, j in ascending order.\nAnswer: -1\/6, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -980 (b) -17 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.58, 5, -1216, -7, 4, -3\/4 in descending order.\nAnswer: 5, 4, -0.58, -3\/4, -7, -1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:10 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3095 (b) 3 (c) 5\/3 (d) 0.06 (e) 1 (f) 1\/4 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 2. Let y(v) = 7*v + 3. Let u be ((-6)\/5)\/(6\/200). Let j = u - -38. What is j*y(r) + 3*t(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 184. Let h = f - -503. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/2 + v**3\/2 + v. Let y(r) = -17*r**2 - 8*r. Suppose -78 = 11*m - 37*m. Determine m*y(w) + 8*q(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 5, k: 3}. Give prob of sequence hhhk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-41.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(245)*-2 - sqrt(245)).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - v + 0*v + 2*v - 288.\nAnswer: -2*v - 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Let k = -33523\/3 + 11175. Put c, k, 2 in decreasing order.\nAnswer: 2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26598 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jijjijjmjjjjm?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22032 divided by -324?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(-10)\/15*39\/(-2) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 899 = -21*q. Which is the smallest value? (a) 1\/2 (b) q (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let f(x) = -6*x - 9. Let b(z) = z + 2. Let u(i) = 9*b(i) + 2*f(i). Determine 20*j(n) - 5*u(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4291630 is divided by 858243?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488468832.\nAnswer: 2, 73, 137, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222421690?\nAnswer: 2, 5, 2551, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1386\/2473?\nAnswer: 1386\/2473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - h = -21, v - h - 4*h = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 + 30\/12. Suppose q*h - 4*i - 6 = 0, 5*h + 4*i - 24 = h. Let r(g) = -g**2 + 6*g - 2. Calculate r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205900 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5689 + 5689.00023599. What is b rounded to 6 decimal places?\nAnswer: 0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, n: 2, a: 4}. Give prob of picking 3 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgmsgvgvvvmo. What is prob of sequence vg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32153567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 741\/217 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 17 - 65. Let q(t) = 27*t + 30. What is the units digit of q(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**8\/3780 + q**7\/756 + q**6\/540 + 2*q**3 - 20*q**2. Let w(r) be the first derivative of d(r). Find n, given that w(n) = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1470)\/56)\/105*(-19)\/((-38)\/312)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/485 and 49\/1160?\nAnswer: 112520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 411 = -68*m + 229. Calculate the least common multiple of 2*(0 + 3\/2) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 220 = -5*o + o, -o - 19 = 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 83780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, r: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, 1378, 5, -34, -4\/3?\nAnswer: 1378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 28 = -2*t, -z = -t + z + 8. Suppose 4*d - t = 3*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 6. Let i be (m\/20)\/(6\/(-2)). Factor 0*s + i*s**2 - 3\/4*s**3 + 0 + 3\/4*s**4 - 1\/4*s**5.\nAnswer: -s**2*(s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10 - 6 + 11 - 120*x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 17*c**2 + 17*c - 12. Let v be j(16). Suppose -5*n + 297 = 2*u + u, -v*n - 2*u = -238. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*z, -7 = 3*h - 4*z + 8*z. Let r be ((-18)\/4)\/(h\/2). Suppose 2*x - 35 = -3*j, 11 = 4*x - 4*j - r. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 1\/60*v**6 + 0*v**4 + 0*v**5 - 18*v**2 + 0*v**3 - 1\/21*v**7 + 0*v + 1\/42*v**8 + 0. Factor x(l).\nAnswer: 2*l**3*(l - 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50977 = 5*u - 2*c, -4*u + 40785 = -4*c - c. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14784.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -146.352078519.\nAnswer: -147.352078519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 721, 720, 719, 718, 717?\n\"Answer: -l + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1354*g**2 + 5984*g wrt g.\nAnswer: 2708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -31784*s + 31784*s - 54 - 2*s**2 as h*s + y + j*s**2 and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12002121101 (base 3) to base 7\nAnswer: -565315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2099 + -1118. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158427, -158428, -158429, -158430, -158431, -158432?\nAnswer: -158433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(78) + (-4*sqrt(78) + sqrt(78) - sqrt(78)) + sqrt(78)) - sqrt(78))\/(sqrt(18)\/sqrt(3)*5))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 104 = -4*f, 2078*f + 86 = 3*a + 2083*f for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - 82) + (19 - (7 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/3)*m*m**6*((m\/m**(-5)*m)\/m)\/(m*m\/m**(-3)) assuming m is positive.\nAnswer: m**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 7:27 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8009 - 9.8189. Let s = i - -0.018. Let c = s - -6.6. What is c rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2 + 3*z - 6 + 11 - 2*z**3. Let q(v) = 2*v - 34. Let l be q(16). What is w(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18)*(497 - 183 - (-17)\/((-102)\/156)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 - -221. Let f = 51\/190 - -5\/38. What is the closest to f in -6, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173434.\nAnswer: 2, 17, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 4*t + 5. What is the tens digit of o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278594581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196163314 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:15 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10065 + -10094. Let f(m) = m + 7. Let x be f(-6). Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557754175 take away -74.69?\nAnswer: -3557754100.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/8 - 4*p**2 - 10*p. Let a(b) be the first derivative of q(b). Let i(m) = -5*m. What is a(i(o))?\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 5*f - 35 = -15*i, -i - 7 = -3*f - 27 - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86273, 172645, 259017, 345389, 431761, 518133?\nAnswer: 604505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1882 (base 14) to base 15\nAnswer: -14a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2733 - -2971. Let d(p) = p**2 - 5*p - 10. Let t be d(8). Calculate the highest common factor of f and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2325*l + 2327*l = 5*y - 18, -2*l = -4*y + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137432206 + -4?\nAnswer: -137432212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.2678 nanograms to milligrams.\nAnswer: 0.0000472678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + 3 - ((sqrt(5) - ((sqrt(245) - (sqrt(245) + 1)) + sqrt(245) - sqrt(245))**2) + sqrt(5))) + (4*(sqrt(5) + -5 + sqrt(5)) + -2)**2.\nAnswer: -353*sqrt(5) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1138*s = -1123*s - 2655. Calculate the remainder when 1234 is divided by s.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1126*v + 277*v - 950*v + 9*v as a*v + m and give a.\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -38, -16, -53, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13343240 (base 6) in base 4?\nAnswer: -1231222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2304\/(-10) - (-12)\/30. Let b = g - -2528\/11. What is the nearest to 1\/11 in -1\/5, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzlr when four letters picked without replacement from zlrlllvlrvlvllllllv?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 1 + y + (-4 - 2*y + 4)*(8 - 1 - 1) - 4*y - 2*y + 4*y.\nAnswer: -13*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 3:58 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4844 is divided by 4840.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*23\/(-46)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2687218163 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 7182 + 50208. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = j + 17 + 15, 120 = 3*k + 5*j. Suppose -3*l + 7 = -k. Suppose 0*c - 2*c + 8 = 0. What is the smallest common multiple of c and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13813641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - c = 6, -2*c + 6 = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 2 - 21 + 19. Suppose 2 = -t + 5. Let y(r) = -t*r**2 + 0*r**2 + r**2. Determine y(z(d)).\nAnswer: -50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46141 - 138319\/3. Suppose 70*q**4 + 394\/3*q**2 + 8\/3 + 508\/3*q**3 + j*q = 0. Calculate q.\nAnswer: -1, -2\/7, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1440, 4 in descending order.\nAnswer: 1440, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 0*r + k*u = r - 4, 3*r + 3*u = 72. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/71? (a) -0.3 (b) -1 (c) 1\/24 (d) 1\/2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4799.76529 rounded to the nearest integer?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588\/(-12)*7\/(-245)*-15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293 - -66. Suppose -4*v - 758 = 5*u, 24*u = 26*u - 2*v + 296. Let p = u - k. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5, -2*v - 5*k + 101 = v. Let f be v\/4*(-1 - -2). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rull when four letters picked without replacement from ryrulri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 832*j**5\/7 + 19952*j**4\/7 + 18912*j**3\/7 + 3260*j**2\/7 - 1208*j\/7 - 276\/7 = 0.\nAnswer: -23, -1\/2, -3\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*l - l**2 - 2*l**2 - 26*l.\nAnswer: -3*l**2 + 241*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 4 (c) 5 (d) 6\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73080901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/10 - h**4\/24 - 38*h**3\/3 - 73*h**2. Find the first derivative of g(y) wrt y.\nAnswer: 12*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12205 - 5.72125. Round u to 1 decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Let c = 18 - i. Suppose v = -v + c. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -4*o. Let d be o + (42\/2)\/3. Let b = -27 - -48. Solve -5*r + 2*q - d*q = -b, 4*r + q = 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (-528 - -499)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**4 - 7\/20*t**5 - 1\/2*t**3 + 4*t + 0*t**2 + 0. What is the second derivative of j(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20196346 divided by -150719?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20))\/((-84)\/64)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -237, 1\/1683?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 - q - 4. Let i = 19 + -18. Calculate the remainder when z(-6) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 128*s**2 - 3*s - 7. Let l be h(5). Let c = 5538 - l. What is c rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100302 (base 4) to base 10\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k - 10*k - 15*k**2 + 10*k + 12*k**3.\nAnswer: 3*k*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1738636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*k + 129*k + 109*k - 382*k)*(-32*k - 33 + 33).\nAnswer: 512*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-5 + 175\/(-56) - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 73102 (base 9) to base 10\nAnswer: 48197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2041*j + 4117. Let m be d(2). Let t = -35 + 37.8. Let b = t + -0.8. What is the second biggest value in m, 3, b, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15132761119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -3446598148.\nAnswer: -3446598146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*y + 14, 6*r - 11 = 3*r - 2*y. Suppose -6*l = -5*c - 2*l + 392, 0 = -4*c - r*l + 295. Suppose 0*b - c = -4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 + 244. Suppose g - s - 44 = 0. Let h = -65 + g. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiivv. Give prob of sequence ivi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -340099 * -21\nAnswer: 7142079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-7 - -1) - -1. Let d = 6 + -4. Suppose -t - 4*y = 2*t - 2, 2*t - 4*y - 28 = 0. Solve -p - t = -d*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2457661 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32560148743 - 3.\nAnswer: 32560148740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*n**2 - 208*n + 208*n)*(-5*n + 4*n + 0*n)*(0 + 0 - 2)*(-1 + 6 - 3) to the form x*n + l + d*n**3 + y*n**2 and give d.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*h**3 + 2892*g**2*h + 1700*g*h**4 - 2*h**2 wrt h.\nAnswer: -12*g**2 + 40800*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/7 - 300*h\/7 - 11250\/7 = 0. What is h?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -15*a - o - 204, 255 = 5*a + 3*o. Suppose -a*j = -59*j + 11096. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1937*g**3 + 20*g**2 - 35*g. Let a(q) = 967*q**3 - 12*q**2 + 20*q. Calculate 5*a(s) + 3*m(s).\nAnswer: -976*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 150, -6, -3\/4, -29\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20816 by 4.\nAnswer: 5204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3116.2007 - 3116. Round a to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053.742 millennia in months?\nAnswer: 96644904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s**2 + 20*s + 2. Let w(o) = 7*o**2 - 10*o - 1. Let i(n) = -6*a(n) - 11*w(n). Let p be ((-11)\/44)\/(41\/(-1476)). Give i(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - 119\/56*-2. Let u(n) = -4*n + 6. Determine u(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-36) + 179\/(-4). What is the tens digit of i\/(-4) + 6\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3020 and 72114580?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 + 12 = 0. Suppose -5*c + 13 = -3*r + 7, 0 = r + 2*c - 9. Solve r*t + 6 = u*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 3}. Give prob of picking 3 p and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5792 + 8125. List the prime factors of q.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z**2 - 2*z**2 + 6*z**2 + 3*z**2)*(0*z - 2*z + 0*z).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - b + 2*b + 5*b - 2*b - 2*b - 2 + 2 + 2*b + (0*b - 2*b + 0*b)*(-1 + 1 - 2) + 0*b - b - b)*(-3*b - 2 + 2) as x + j*b**2 + l*b and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21974 divided by -4.\nAnswer: 10987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-2)\/(-10) + 276\/(-80)). Suppose -4*g + h + 19 = 0. Let i = 42 + g. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.7923 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and (0 + 18)\/(3 + (2 - 4))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/9*((-13)\/52)\/((-3)\/(-116))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*x**5 - 140*x**3 - 12*x + 2?\nAnswer: 440*x**3 - 840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -37, -6\/11, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/4)))**(-2\/7)\/(x\/x**(2\/39)*(x*x**(2\/45)*x*x)\/x))**(-24) assuming x is positive.\nAnswer: x**(100396\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18862271 is divided by 1716?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1041*x + 32243. Calculate a(31).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/413*7\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*c - 99*c + 90. Suppose -2*r + w = -w, -3*r + c = 2*w. Solve 5*a - r = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmfttmdllmdtildmm. Give prob of sequence imt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-1\/13)*z))*z\/(z\/z**(-2\/41)))\/((z\/(z\/z**(-7\/4)))\/(z*(z**(3\/2)\/z)\/z)))**(-28) assuming z is positive.\nAnswer: z**(-46627\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861589518 divided by 8128203.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85996067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/2)*x)*x**(2\/5)\/x)**(-3\/19))**42 assuming x is positive.\nAnswer: x**(693\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - ((sqrt(704) - (sqrt(704) + 4))*-6 - sqrt(704))) + sqrt(704) + 4*sqrt(704)*-1)**2.\nAnswer: 384*sqrt(11) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 - u + 2. Let g be s(1). Suppose -3*m + 8*d - 6*d = -440, 0 = g*m - 3*d - 732. Is 48 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + f**2 + 31*f**4 - 10*f**4 - 24*f**4 as d*f**2 + w + h*f**4 + z*f**3 + b*f and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(875\/126)*(-20)\/(-3). Suppose -660 = -27*r + y*r. Does 55 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9001453g?\nAnswer: 900145300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + 2*sqrt(104))*6)\/(-4*sqrt(32))*2)**2 - (1 + (-2*sqrt(143)*1 - sqrt(143))\/(sqrt(11) - sqrt(33)\/sqrt(3)*-2))**2.\nAnswer: 2*sqrt(13) + 997\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 103\/3, 1\/4, -4\/3, 2\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*j + 374*j = -a + 11, -71 = -4*a - 5*j for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1274 - 141. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -360 - -540. List the prime factors of (2\/(-5))\/((-9)\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1526, 737, -64, -883, -1726, -2599?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 14*n**2 + 23*n + 8. Determine a(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/238 + 189\/17. Let u be (0 - 0)\/(n + -7). Is 2\/9 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 391?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:42 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/24 + b**5\/4 + b**4\/12 + 11*b**2. Let r(l) = 3*l**3 - 8*l**2 - l. Let d(o) = 7*r(o) + 4*t(o). Calculate d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26996 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*l - 29*l - 9647 = -495*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -0.4, -2\/7, -193?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:39 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -25. Let n = q + 57. Let b = 38.087 - n. What is b rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*d = -2, -l - 2*d = 6 - 7 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 + -282. Which is the nearest to -14? (a) w (b) -4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-255)\/(-2))\/(2\/(-67)). Let x = g + 4297. Let r = -26 + x. Which is the closest to 1\/3? (a) r (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213.4 - 213. Let q = 0.29 - x. What is the nearest to -5\/4 in 0.3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 23*z = -36. Let h = z - 15. Let f(n) = -n**2 + 6*n + 5. Let s be f(7). Sort 2, h, s.\nAnswer: h, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 21. Let h = 21.6 + j. Let f = -2.456 + h. Round f to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 1267.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60021 - 60021 + 19*l**2 + 2*l + 17*l**3.\nAnswer: 17*l**3 + 19*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70764097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/2 + x**4\/3 - 16*x. What is the third derivative of q(l) wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*c + 48 = -28, -4*v = 4*c - 84. Let f = -28 + 15. Calculate the remainder when (f + 16)\/(6\/134) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (66\/(-88))\/(3\/(-16)). Suppose 0 = -2*d - 2*f + 5*f + 73, s*d - 140 = 4*f. Suppose 2*m = 18*m + d. What is the smallest value in m, -34, 0.1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 49*r + 699 = 0. Is r*-4*5\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -388, -2389, -7198, -16021, -30064, -50533, -78634, -115573?\n\"Answer: -201*x**3 - 198*x**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heffwwtaa. What is prob of picking 1 a and 2 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 442578052 to the power of 1\/2, to the nearest integer?\nAnswer: 21038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2953595?\nAnswer: 886078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 45*x + 398. Let j be a(33). Solve -3*f + j*p = -3*p + 5, -3 = -3*f + 3*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*(u\/(u\/(u**(-1\/4)*u)*u))\/u)\/((u\/(u\/((u*u\/((u*u*u**1)\/u))\/u)*u))\/u*(u\/(u\/u**(1\/5)*u))\/u) assuming u is positive.\nAnswer: u**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -175*j**5 + 11665*j**4 + 256195*j**3 + 1387235*j**2 + 2409480*j + 673200 = 0. What is j?\nAnswer: -11, -4, -3, -12\/35, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23001 - -39273. Is 72 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 4*n. Let l(d) be the first derivative of -d**3\/3 + d**2\/2 + d - 2. Let r be l(-2). Sort -1, n, r in ascending order.\nAnswer: r, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 4411.\nAnswer: 17644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 4244?\nAnswer: 4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -4*b**3 - 31*b**3 + 20 - 12*b**3. Let q(j) = -j. Calculate q(p(x)).\nAnswer: 141*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/8 - k**3\/6 + 16*k**2. Suppose -67*d + 53*d - 28 = 0. Calculate w(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 1. Let a(s) = -21*s - 29. Let b(c) = a(c) - 2*p(c). Is 8 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b - 159. Let c be (-12 - -7)*3*-2. What are the prime factors of o(c)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let w(j) be the first derivative of -14*j**2 - 20*j - 1. Let o(r) = 3454*r - 2 + 5 - 3450*r. Let p(q) = 20*o(q) + 3*w(q). Give k(p(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-513)\/(-52))\/(-9)*21374. Let y = p - -23425. Find the common denominator of 57\/22 and y.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-14 + -3 + 24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1156\/1698)\/2 - ((-296)\/(-24))\/37. What is the biggest value in s, 4, -10\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-10)\/225 + 364196\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -75.093. Let o = -0.563 + w. Let i = o + -4.53. Which is the third biggest value? (a) i (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(7\/3))\/(f*(f*f**(-1\/2))\/f)*(f**(-2\/5))**38)**(3\/46) assuming f is positive.\nAnswer: f**(-371\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/159 + -151\/1272. Let d(r) = r**2 + 7*r + 7. Let c be d(6). Let k = c - 509\/6. What is the third biggest value in 2, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k - 1. Let h(n) = n - 1. Determine 2*h(z) - i(z).\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = -7, -4207 = -i - 3*g. Suppose 670 = -3*w + i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from ooooyoyyoyyooyiyyiy?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 838362 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -424*j - 5*j**2 + 424*j. Let m(o) = 5*o. What is m(i(f))?\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2108707ng to kilograms.\nAnswer: 0.0000000000002108707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 487 - 491.03. Let v = x + 0.03. What is the smallest value in 0, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49695745?\nAnswer: 5, 11, 43, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 57. Let s = w - -42. Solve -3*u - s - 3 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.87 - -8. Let t = -0.23 + d. Which is the closest to -0.1? (a) 5 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9962 divided by -6\nAnswer: 4981\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26283033 by 3.\nAnswer: -8761011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 112 = 4*c. Is (8\/(c\/(-111)))\/(1\/2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 105*l + 22.\nAnswer: -105*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8971408.8 seconds to hours.\nAnswer: 2492.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45846, -91674, -137500, -183324, -229146, -274966, -320784?\nAnswer: -366600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -303 and 503512032178.\nAnswer: 503512031875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5874 and 9834.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 - 1105*c + 4214. Determine n(4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*g**3 + 2*g**2 + 61*g wrt g?\nAnswer: 402*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 15*q - 155. Let r be m(14). Put -2, -5, r, 1, 3 in ascending order.\nAnswer: -5, -2, 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 686*u**2 - 15992*u - 29256.\nAnswer: -2*(u + 2)*(u + 23)*(u + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2257215 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 290 = 2*c, -4*c = -7*c + 4*x + 458. What is the lowest common multiple of 9 and 50\/c - 17\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 58*o - 4554. Calculate z(81).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 269 divided by -1505\nAnswer: -269\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - 2\/2) + -2. Let k(l) = 18*l**3 - l + 2. Let p be k(1). Let o = 17 + p. What is the greatest common factor of m and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8356*o**3 - 4937 with respect to o.\nAnswer: 25068*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21141.4 * -0.17.\nAnswer: 3594.038","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285909 is divided by 285898.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70450, -70353, -70188, -69949, -69630?\nAnswer: -69225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 1\/6*c**3 + 1\/15*c**5 + 0 + 0*c + 0*c**4 + c**2. Let b be y(1). Solve -m - 16 = -b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 612, 2968, 6914, 12456, 19600?\n\"Answer: l**3 + 789*l**2 - 18*l - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - (-128)\/24. Suppose 2*c - t = -3. Sort -5, -3, c in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 17.86. Let g = n + -2.81. Let b = g + -0.05. What is the third biggest value in 4, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 848\/6 + 8\/(-6). Suppose 4*q - 5*o + 140 = 0, 0*q = 4*q + 3*o + u. Let y = 54 - q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1047, -46, 8 in descending order.\nAnswer: 1047, 8, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6313867 and 83951?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 3094 = 42*q. Calculate the highest common factor of q and 12733.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*w + 44*w = -204. Let m = 31 + -92\/3. Which is the biggest value? (a) m (b) w (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307222842 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*d + 18, -q + d = -4*d - 17. What is n in -5*n**4 + 10\/3*n**3 - 5\/3*n - 5 + 10*n**q - 5\/3*n**5 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679301549 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 118*b**2 + 4720*b - 52. Give m(-40).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*210\/(-189)*(-138)\/5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 53 = -3*b + 14, 4*w + 4*b = 12. Suppose -s + 4*l = -39, w*l = s + 5*l - 45. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/g**(3\/8)*g)\/g**(-5\/6))\/(g\/(g*(g\/g**(-3\/5))\/g*g))**6)**8 assuming g is positive.\nAnswer: g**(1687\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sgssggsggggggsgg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.865*-5.\nAnswer: -4.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 + -0.8. Let u = y + 1.28. Let g = 1.1 - u. Is g >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221292201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20018, -20338, -20658?\n\"Answer: -320*x - 19698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168551813 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 8*g**2 - 9*g - 5. Let o be l(-7). Suppose 0 = -2*n + o - 1. Solve 0*i = q + i - n, -2*i = -5*q + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/19 or 0?\nAnswer: -15\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1437*j**3 - 3566?\nAnswer: -4311*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - 136*k - 876. Let y(u) = 5*u. What is y(t(p))?\nAnswer: 5*p**2 - 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by 29021.\nAnswer: 134\/29021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {s: 1, m: 1, a: 1, v: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -796 + 10153. What are the prime factors of b?\nAnswer: 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228)*-1 - sqrt(228)) + sqrt(228))\/(sqrt(24)\/sqrt(8)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -39 + 54, -h = -5*p - 350. Let v = h + -322. Solve -4 = -v*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65978.384 rounded to the nearest ten?\nAnswer: 65980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**4 + 5*t**2 - 4. Let j(o) = o**2 - 1. Let v(k) = 15*j(k) - 3*p(k). Differentiate v(r) with respect to r.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 + -279. Differentiate 9*g - 26 + p*g - 39 + 16*g + 10*g wrt g.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3790*g = 3792*g + 12 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {s: 1, k: 3, x: 1, h: 7, j: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 39 = 4*m + 93*m + 2*t + 9*t, -5*t - 174 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.47 + 0.07. Sort -4, f, -5 in ascending order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 320368815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*b - 421*b + 3*b**2 - 433*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21420.7938 and 7.\nAnswer: -21413.7938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 31, 52, 81, 118, 163, 216?\n\"Answer: 4*j**2 + j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-30))\/(-13)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 + 8 = 0. Suppose -1968 = -348*h - 317*h + 9*h. Solve h*t - 5*i = -37, -5*i + 4*i = -q*t - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:20 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 31*b - 2*b - 2*b**3 - 3*b**3 - 31*b + 3. Let s(h) = -6*h**3 - 3*h + 4. Give 3*s(a) - 4*v(a).\nAnswer: 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(17\/5))**32 assuming w is positive.\nAnswer: w**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 294405 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2897, 2836, 2777, 2720, 2665?\n\"Answer: l**2 - 64*l + 2960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 801371548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -10, -3520, -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 1. Let c be o(1). Let k = c + -17. What is the remainder when 293\/6 + (-2)\/k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 14. Let z = 79 + s. Suppose 5*w - 334 = 2*i, w - z - 22 = 3*i. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**7\/2520 + a**4\/24 - a**2. Let w(s) be the second derivative of d(s). Let o(v) = -8*v + 4*v + 6*v. Determine o(w(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*s - 17, 5*c + 58 = 3*s + 76. Let m(t) = t**3 + 2*t**2 - 14*t - 4. Calculate m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x**2. Let v(i) = -34*i**2 - 70*i**2 + 52*i**2. Calculate v(y(j)).\nAnswer: -7488*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in 2\/7, 1238, -157?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10332 + -31531250?\nAnswer: -31542022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 38*a - 45*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -3. Let x = 18 - o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120120 and 48048.\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 3*c = -704. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {d: 1, g: 1, y: 1, r: 2, a: 2, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 7. Let v(q) = q + 1. Let c(f) = f**2 - 2*f - 4. Let x be c(4). Let u(z) = x*v(z) - k(z). Let i be u(5). Solve s + 9 = -i*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26691, -26671, -26639, -26595, -26539?\n\"Answer: 6*n**2 + 2*n - 26699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/5)\/2*(-20)\/(-6). Suppose 4*c - 5*h + 5 - 1 = 0, 4*c = x*h. Suppose -3*o = 5*a, 4*o = c*a - 20 - 12. Solve y + a*y = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -34*n**2 - 5*n + 4. Let s be 2\/4 + 21\/(-6). Let r(o) = o - 1. Let i(h) = s*r(h) - f(h). Does 13 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201202110 (base 3) in base 13?\nAnswer: -672c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172151 and 2.\nAnswer: 344302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20707 is divided by 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*r - 366 + 123 = 1777 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -179, -250, -359, -512?\n\"Answer: -r**3 - 10*r**2 - 2*r - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**5 + 3*v**5 - 14*v**5 - 25*v + 25*v - 5*v**5 + (2*v**3 - 2*v**3 - 2*v**3)*(-v - 2*v**2 + v).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (8*(-12)\/32)\/((-1)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(11) - ((-5 + sqrt(11))**2 + -4 + sqrt(11))) + sqrt(11)).\nAnswer: -204 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*k + 75 = -19, -4*k = -y + 59. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b + 17. Let s = -42 - -40. Let g(a) = 4*a - 9. Let h(f) = s*y(f) - 5*g(f). What is the derivative of h(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358663*a**2 - 371910*a**2 + 412883*a**2 - 541236*a**2.\nAnswer: -858926*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015335 to four decimal places.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(2 - 0) - (-96)\/8. Suppose -c*w + 24 = -18. Let r be -3 + 3 - (60\/(-2) + w). Solve 5*a + 33 = -2*y, 0*a = -3*a - 3*y - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-30 - -9) + -4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103879 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 778, 1172, 1562, 1948, 2330?\nAnswer: 2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*a)*(4*a - a**3 + 4*a - 6*a).\nAnswer: -3*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 + 152*j + 11. Let t(x) = -188*x**2. Give m(t(d)).\nAnswer: -247408*d**4 - 28576*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.5? (a) 24 (b) 16\/3595 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-1 - -4) + -40. Let z = o + 41. Suppose 0 = 2*p - 15 + z. Is 4 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88758790 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(960) - sqrt(960)*-2))\/(sqrt(5) - (2*sqrt(125) - sqrt(125))))\/(sqrt(432)\/sqrt(8) - (sqrt(6) - sqrt(726)*-3)).\nAnswer: 13*sqrt(2)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(105\/10)*-9*5\/(-75).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2464 and 6336.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + (-6 + -2 - (-11 - -5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2076 divide 18003072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1\/4 (b) -2\/13 (c) 1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227 - -231. Suppose 3*g - 861 = -2*j + 433, 5*j - 3258 = y*g. What is j rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*2*4 + (sqrt(325) - sqrt(325)*1)*-6 + sqrt(325) + -5)**2 + 2.\nAnswer: -450*sqrt(13) + 26352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71099, -71095, -71091, -71087, -71083, -71079?\n\"Answer: 4*p - 71103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b + 4. Let w be v(-3). Let o be w\/3 - (-6)\/9. What is the third derivative of o*i**2 - 3*i**2 - 2*i**3 + 3*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496 divided by -230.\nAnswer: 248\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -143913301801 - 0.12\nAnswer: -143913301801.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 less than -5268?\nAnswer: -5270.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91991489741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + (1 - (1 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 240462*s + 1854144*s.\nAnswer: 1613682*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(2\/23)\/((y\/((y*y\/y**(-2\/5)*y*y)\/y))\/(y\/(y\/(y**3*y*y)*y)))*(y*y**(-1)\/y)**(-25)*y**(3\/8)*y**(1\/5)\/y assuming y is positive.\nAnswer: y**(5693\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 5*r + 3 - 6 - r. Let h be j(5). Let v be (-88)\/114 - h\/12. Which is the third biggest value? (a) v (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129448706 to the nearest integer?\nAnswer: 11378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, -84, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 30 = -0. Let a(r) = -2*r**2 + 6*r - 2. Let d(p) = 2*p**2 - 7*p + 2. What is u*d(s) + 6*a(s)?\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 76 = 24. Let n = 12 + s. Suppose -2*c = 8, 4*f - 12 - 16 = 2*c. Calculate the highest common factor of f and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 598 and (-6 - -8)*(101 + (-8 - -11))?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeg when four letters picked without replacement from {g: 3, e: 15}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h - 4*h)*(-3*h**2 - 2*h**2 - 12*h**2) + 0*h**2 + 0*h**2 - 2*h**3 to the form l + f*h + w*h**3 + i*h**2 and give w.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4*-1)\/(90\/(-90)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46705009237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 35. Suppose u = -2*o - o + 3. Let t be (14\/8 - o)*4. Solve n + 3 = -p - 0*p, t*n - 7 = 5*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 84*d**6\/5 + 119*d**3\/2 - 585*d. Find the second derivative of z(y) wrt y.\nAnswer: 6048*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1700) + 3*sqrt(1700) + 1*(sqrt(17) - (1 + sqrt(17))) + 5)*-6.\nAnswer: -240*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 - 10143?\nAnswer: -10250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 162 + 162 + (-2 + 2 - 2*t)*(0*t + 3*t - t) + (2*t - 4*t + 0*t)*(4*t + t - 6*t) as z*t**2 + d*t + h and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 17*y**3 + 29*y**3 + 24*y**3.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199579\/12 - 16622. Let n = -698 - 458. Let s = n - -3509\/3. Find the common denominator of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8*a**3\/19 + 10*a**2\/19 + 36*a\/19 + 18\/19 = 0.\nAnswer: -1, -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -162, -314, -466, -618, -770, -922?\n\"Answer: -152*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5916144?\nAnswer: 2, 3, 13, 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/(-10)) - 4*(-11110)\/176. What is the highest common divisor of u and 1836?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*x - 412, q + 298 = 4*q - x. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 370*g + 6800.\nAnswer: 5*(g + 34)*(g + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-3*sqrt(119))\/sqrt(7))**2*1 - (sqrt(153)\/(-5*sqrt(144)))**2.\nAnswer: 108783\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*p + 4*p = 11, 44 = -3*d - 7*p. Let a be 285\/76*(-4)\/d. Solve 5*i = -a*i + 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/6)\/(-3)*(-24)\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = -35. Let i = t + -3. Suppose i*o = 5*o - 10. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2786605.91300076 - 2786606. Let g = 0.087 + z. Round g to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 c when three letters picked without replacement from {c: 2, q: 4, k: 2, j: 4, d: 1, i: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 16. Calculate the highest common factor of u and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 5) in base 8?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.6064591 rounded to two dps?\nAnswer: 31.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 + 7 = 0. Suppose -5*v + 36 = r, 0 = 3*r + 2*r - c. What is the lowest common multiple of v and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -265, -255, -243, -229, -213, -195?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352670, -705335, -1058000, -1410665, -1763330, -2115995?\nAnswer: -2468660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 238743 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**7\/147 - n**6\/105 - 29*n + 4. Let a(t) be the first derivative of j(t). Let a(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*j + 5*c, 51*j + 20*j - 32 = 75*j - 5*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*p**3 + 97*p**5 + p - 26 + 17*p**3 - 8*p**3 wrt p.\nAnswer: 1940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/7 (b) 3\/299 (c) -20.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -9) + ((-20)\/6)\/1. Let q = -0.4 + 0.2. Which is the closest to 1\/2? (a) q (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -6, -0.03, 0, -2\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, b: 2, d: 1, r: 3, s: 1, x: 5}. Give prob of sequence xdbs.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {r: 1, n: 11, q: 1, l: 3, x: 2}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/6 - 2*w**3 + 7*w**2 + 26*w. Let l be r(8). Calculate the highest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -2*o - 0*w, -w = -5. Put o, 0, 1 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/63 + 8)\/((-20)\/(-45))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11123, 22261, 33399, 44537, 55675?\nAnswer: 66813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1\/197, 1\/1552 in ascending order.\nAnswer: 1\/1552, 1\/197, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 + 25 = 0. Solve 0 = -m, 0 = -5*p - m - 0 - o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-50)\/(-9450)*54?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 14688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 8*c + 3*u + 13, 4*c - 3*u - 23 = 0. Let z(y) = -13*y - 6. Let j be z(-6). Suppose 5*g + c*v = v - j, -g - v = 15. Is -9 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttlxgxttxxxtlqtqlx. Give prob of sequence gtqt.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(550\/(-11692)) + 0. Let u = 516\/5 + w. Let s = -2\/223 - 1093\/2453. Find the common denominator of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-1456)*14)\/(15\/4 + -2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 + 34136*g**4 - 925060*g**3 - 4037432*g**2 + 28764960*g = 0.\nAnswer: -8561, -7, 0, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*(-12)\/(-2688)*1*-56?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 7 = -k + 3*y, -10 = 4*k + 5*y. Is (3 + -1)*-28*10\/k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ac8d (base 14) in base 4?\nAnswer: 122003331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -59, -127, -221, -341, -487, -659?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.033, 3, 2\/417, 2, -2\/5, 0.04?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/41035 or -0.5?\nAnswer: -1\/41035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - (-5 + 1)) + 5. Solve 0 = -p - 0*p + l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11258429?\nAnswer: 7, 13, 123719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25835312?\nAnswer: 2, 1614707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 36. Let j(c) = -c**3 - 2*c**2 + c + 6. Let s be j(0). What is the remainder when (s\/(-12))\/((-3)\/282) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 1639708*m**2\/3 + 6558800*m\/3.\nAnswer: 2*m*(m - 819850)*(m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-19278))\/((-680)\/2380)\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -27 + 26 - -35.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20245569*p + 14704723 wrt p.\nAnswer: -20245569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12372.6765 to zero decimal places.\nAnswer: -12373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022320122 (base 4) in base 11?\nAnswer: -359434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5*j**2 - 1120*a**5*j - 6*a*j**2 + a*j + 12*j wrt a.\nAnswer: 40*a**3*j**2 - 22400*a**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -51. Let x be n\/(-1) + 12\/(-10). What is the smallest value in 0.1, 1, x, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 + 6361884*v\/5 + 10118392007364\/5.\nAnswer: (v + 3180942)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 30 = -4*z + z, 0 = 4*z - u + 17. Let f = z - -9. Suppose -f*i = 5*k + i - 60, 0 = 4*k + i - 45. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-10)*30\/(-12). Let z(f) = -5 - 2 + 10 + 3*f - 4*f - 2. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.4 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-4) - (-1)\/(-4). Suppose -w*c = 4*b - c - 45, -3*c = -b + 30. Let g be ((-5)\/(-30))\/((-2)\/48*-2). Solve 5*i = g*i - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsswwssssswwssss. What is prob of sequence swsw?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**3 - 6*q**3 - 3*q + 2*q**2 - 2 + 14*q**3 - 3*q**2. Let a(w) = 4*w + 2. What is the remainder when a(6) is divided by u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 20068*r**4 + 60234*r**3 + 120428*r**2 - 160592*r = 0 for r.\nAnswer: -10037, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000679408 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2 - 0) + 11\/4. Which is the closest to u? (a) 0.2 (b) 4\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 459619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:28 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(8\/6) + 2 + (-78)\/(-26). Solve 119 = 15*y + l*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Let o(j) = -537*j. What is o(n(a))?\nAnswer: 1074*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f - 2. Calculate p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 1)\/(-2) + (5 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924 + 4.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28316 = -5*z, -9*q + 14*q = -2*z + 11318. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(20)\/(1*sqrt(10)) + -4)*3)**2 + 2).\nAnswer: -432*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/2 (c) -1 (d) 0.4116 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 2cb67?\nAnswer: 2cb6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 7\/17 (b) -1574 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 13*b - 5. Let f be u(-13). Let c be 2\/(-1) + (-718 - f). Let v = -408 - c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837 divided by 127883.\nAnswer: 837\/127883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 21*n**2 + 10*n - 5. Suppose -3*o + 67*s - 69*s - 58 = 0, 3*o - s = -43. What is the units digit of y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/(sqrt(2)*1))\/(sqrt(33)\/(sqrt(11)*-2)) + 0 + (sqrt(304)*-2 - sqrt(304)) + -5)**2.\nAnswer: 140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1706084, 1706068, 1706052?\n\"Answer: -16*q + 1706100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - 3*t - 8. Suppose 4*w + 34 = -2*u, 3*w + 29*u + 23 = 28*u. Let c(r) = -8*r**2 + 4*r + 9. Calculate w*c(g) - 7*z(g).\nAnswer: -g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 290820*i - 1745028 = 0. What is i?\nAnswer: -96946, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 (base 10) in base 8?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1837 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 0.0458 in decreasing order.\nAnswer: 2, 0.0458, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 25*p**3 + 28*p**2 - 184*p + 43. List the prime factors of b(12).\nAnswer: 11, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5797496 by -2898748.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-15)\/9)\/((-3)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 < 1546306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40\/3507 + 846\/5845. Let p be 4\/(-6)*(-9)\/(-6). What is the nearest to -0.79 in i, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2514\/5 - 500. Suppose -5*o + 0 + 10 = 0. Suppose -u*t - 4\/5 - 2*t**o = 0. Calculate t.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2 - 2*b - 2. Let n be x(6). Suppose -2*q + 4*d = -n, q + 505 = 3*q + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3021 and -224.99?\nAnswer: -67.969479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88555\/31968 - 31\/1184. Find the common denominator of w and 19\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 32651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 343*s**2*v + 28*s**2 + 2*v + 1 wrt v.\nAnswer: 343*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -71*f**8\/12 + 67*f**5 - f**2 + 163*f - 2. Find the third derivative of t(k) wrt k.\nAnswer: -119280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 4. Let j = 6.9 + n. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b**2 - b**3 - 5*b**2 + 4 - 1. Let o be x(-5). Let n be (-16)\/(-20)*(-5)\/(-2). Solve 1 + o = -n*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-20)\/(-16))\/5*-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**6\/15 + r**5\/5 + r**4 - 2*r**3\/3 - 4*r**2 - 4*r. Factor m(u).\nAnswer: -4*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -431449, -431448, -431445, -431440?\n\"Answer: l**2 - 2*l - 431448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4238 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 + 17*o + 4. Let n be x(5). What is the highest common factor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -10 (b) 1 (c) -0.4 (d) 0.9 (e) -2529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1597 = 4*r, 7*r = 3*r - 4*s + 1612. Suppose 32 - 773 = -19*v. Let o = r - v. What is o rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 4. Let x be -1*(r - 0) + -36. Suppose 278120*d - 278145*d = 825. Is d < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5267, 3 in decreasing order.\nAnswer: 3, 1, -5267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 9 = -2*z. Let a(i) = -i**3 + 13*i**2 + 14*i - 11. Let f be a(z). Let l = f - 108. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 + 3*v - 4. What are the prime factors of k(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f - 4*p = -1025, 5*f = 4*p + 985. Suppose 5*l = 2*l + f. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 28. Let h(j) = -386*j - 7361. Let k be h(-39). Suppose -7*v = -s*v + k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 26 = -3*l, 0 = 2*l + z + z - 14. What is the third derivative of -l*a**2 + a**2 - a**2 - 2*a**5 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - y + y**4 + 2*y**4 - 11 in the form v*y**2 + f + p*y**4 + k*y + x*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423961 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(60\/9 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjjjjcjjjjcjjj. Give prob of picking 2 j.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**2 - 2*t**2 + 14*t**2 + 6 - 6 + 5*t**2 + (38*t + 7*t - 7*t)*(2*t + 2*t - 2*t) as z*t**2 + n*t + v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109055787 divided by -3.\nAnswer: -36351929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and (-8 - 3\/(-1))*-1.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2375 + -2370. Put 1, c, -177, -2 in increasing order.\nAnswer: -177, -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1344 and -157\/5492928?\nAnswer: 5492928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-429)\/65)\/(-1) + 2*(-9)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 - 2*k**2)*(12*k + 8*k + k + (2*k - 2 + 2)*(-1 + 3 - 1)).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i. Let g be f(1). Let y be ((-4)\/(-3))\/(1\/g). Solve 0 = 2*m + 5*j + 7, y*j + 29 + 3 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -115, -170, -223?\n\"Answer: d**2 - 60*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149\/(-2980))\/((-1)\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 1\/63*c**7 - 4\/45*c**6 + c + 1\/30*c**5 + 0*c**2 + 1\/3*c**4 + 15 + 0*c**3. Determine s, given that z(s) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.04, -98, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -224. Suppose f = 3*r + 24. Suppose 5*d = r + 40. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000837423946 to 6 dps.\nAnswer: 0.000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q + 4. Let s be b(3). Suppose -24 = -s*a + a. Calculate the lowest common multiple of 3 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -20. Let f be (48750\/(-9))\/(1\/a). Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080266 and 9414?\nAnswer: 5084812062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 57940*r**2 + 4075400*r.\nAnswer: -4*r*(r - 70)*(r + 14555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t + 1785 = 0. Let n be (-2229)\/(-3)*3\/6. Let y = n + t. What is the common denominator of y and 59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 586*s - 594*s + 64. Solve s*y = 52 - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 62*o**3 - 4*o**2 + 19*o + 17. Let b be m(-1). Which is greater: -49 or b?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/3 - 2003*w**2\/3 + 2006*w = 0. Calculate w.\nAnswer: -2006, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 2*y**4 + y**4 + 3*y**2)*(-4*y + 0 + 0).\nAnswer: 4*y**5 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3 and (-6 - -6) + (-76)\/(-27) + -2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, -980131, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - -21. Suppose 0 = 3*q - r - 57. Suppose 0 = -u - 2*o - 3, -5*u = -2*u - 5*o - q. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -0.055, 27\/65, 5, 3, 0.2?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**2 + 17*x**2 + 12*x - 2*x**2 + 10*x - 8*x**2 to z + u*x + w*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*h + 12 = 0, 3*i - 5*h - 2 + 16 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p + 352. Let g be z(39). Suppose 0*n - 1973 = -4*b + n, -4*n - g = -2*b. What are the prime factors of b?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 51. Let h be l(13). Let y = h + -103. Factor y + 2\/7*n + 4\/7*n**2 + 2\/7*n**3.\nAnswer: 2*n*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -5*r + 21, -c + 26 = 5*r. Suppose -b + 4*o + 110 = 3*o, o + 570 = r*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57803\/20 - -2889. Find the common denominator of -49\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*u + 48, u + 2642 = 5*g + 2546 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p = -9*p - 4365. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5230, 5233, 5234, 5233, 5230, 5225?\nAnswer: 5218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**2\/2 + 3*r - 3. Let p be 3 - (-1)\/((-1)\/(-2)). Calculate l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * -3.6.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(315) + -2*sqrt(315) + sqrt(315))\/(sqrt(5) + (sqrt(5) - (2*sqrt(605) + sqrt(605)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001111011 + 11?\nAnswer: -1000001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -63. Let j be w\/18 - (-4)\/(-18). Let q(h) = h**3 + 5*h**2 + 4*h + 1. Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:29 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s**2 - 5*s - 2. Let n = -17169 - -17172. What is b(n)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 10. Suppose 4*l = 5*z - 8, -d*z + 19 = l - z. Calculate the common denominator of 29\/2 and -1 + l - (-85)\/(-100).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/80 - 43*n**4\/16 - 22*n**3 + 2*n**2 - 252*n. Solve z(r) = 0 for r.\nAnswer: -2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 20 = 4*g. Let p = -15 + g. Let j(u) be the first derivative of u**3\/3 + 5*u**2\/2 - 3*u - 2. Calculate j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 21*w = 13*w. Let l = 14 + -9. Suppose w = -0*r + r - 2*u - 14, 0 = -5*r + l*u + 75. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 12.3696.\nAnswer: -6.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-3) - 1)\/(-4). Suppose 7*t = 37 + 348. Suppose 49*l - 6 = t*l. Which is the smallest value? (a) l (b) m (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -119, 5, 2121.\nAnswer: -119, -4, 4, 5, 2121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3 (b) 0.06 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 0*d**3 - 12*d**3 - 2*d**3 + 2 - 2 + (-2 + 2*d + 2)*(-33*d - 8*d**2 + 33*d) + (0*d**2 - 2*d**2 + 0*d**2)*(-2*d + 4*d - d).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1833 = 9*r + 1716. What is the greatest common divisor of r and 1534?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = 9, -l - 3*y = 0. Let g(v) = v + 11. Let o be g(l). Solve -5*f = -2*a + 22, -18 = 4*a + 5*f - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:07 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30 + (-209)\/330. Let j be 4\/14 + 3946\/56. Let i = j + -72. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**6\/15 + 2*n**5 + 33*n**4\/2 - 18*n**3 - 432*n**2 - 64*n - 14. Factor o(u).\nAnswer: -2*(u - 24)*(u - 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2275767369*a**2 - 21*a**3 - 2275767369*a**2.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*f**2 - 202*f**2 - 796*f**5 - 84*f**2 + 815*f**5 + (-3*f + 3*f + f**3)*(0*f**2 - 2*f**2 + 0*f**2).\nAnswer: 17*f**5 - 193*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:47 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 359, 567, 803, 1073, 1383?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16 - (-21)\/216?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-2 + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 1183*c + 2364.\nAnswer: (c - 2364)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -4*o - 54. Let v = o + -16. Suppose -5*n = -v*b + 3*b - 26, 0 = 5*b + 4*n - 67. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174952 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -571, -865, -1175, -1507, -1867, -2261?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2731089 or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -86. What is the biggest value in 4\/3, y, 2\/17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209184 is divided by 7640?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63344\/121 - -3947705\/4719. Let m = j - 1564\/5. Let p = 2\/39 - m. What is the biggest value in p, 6\/7, -0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40311*x**3 + 8566*x?\nAnswer: 241866*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:59 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1909 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7944 and 390119248?\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000297 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 6, -1116?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2076 divided by 1038\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*o*o\/(o\/(o**(-2\/5)*o)))**(4\/9) assuming o is positive.\nAnswer: o**(248\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5600 and 17\/30.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128683967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 at least -416702\/3033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/12 + u**3 - u**2 - 5*u + 4. Let y(b) be the first derivative of j(b). Give y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = g + 2, 4*n + 56*g - 58*g = 0. Put -1, 0, -3, -23, n in decreasing order.\nAnswer: n, 0, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1)*(-231)\/(-539)*21\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*m + 69 = 541*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009380443 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-249 + 264 - (15 + 0)) + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {p: 2, o: 3, t: 1, x: 1, j: 1, i: 5}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8360 and -95\/704.\nAnswer: 66880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2 - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 491 = 4*c, c - 165 = -2*a + 169. Let n(r) = -116*r**3 + r - 1. Let m be n(1). Let x = m + a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12716, -12443, -12176, -11915, -11660, -11411, -11168?\nAnswer: -10931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Let z be (6\/4)\/((-6)\/(-12)). Let w = 12 - 8. Sort z, a, w in descending order.\nAnswer: a, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 + 22*t - 3*t**4 + 6*t**4 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -760 - -3041\/4. What is the nearest to t in -0.3, -4, -1\/4, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19 + 17)\/((-2)\/625). Suppose 0 = -6*k + h + 353. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 + -173. Solve 2*l + 3 = z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = 4*m. Factor 0*g**2 - 6*g**4 + m + 0*g - 3\/2*g**5 - 6*g**3.\nAnswer: -3*g**3*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 + 1170 + f - 580.\nAnswer: f + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/4 - 5*c**3\/3 - 5*c - 1. Let q be w(-5). Let m(o) = -o + 8. Let s be m(5). Sort 5, s, q in decreasing order.\nAnswer: 5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440280 and 317980.\nAnswer: 5723640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477271866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -74?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67661424 is divided by 107?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/47)\/s*s\/s**(-2\/23)*((s*s*s**(-10\/11)*s)\/s)**12)**(-10) assuming s is positive.\nAnswer: s**(-1572040\/11891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(6)\/sqrt(3) - sqrt(14)\/(sqrt(7)*2)) + -1.\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*x + 723, 5*x = -3*y + 177 + 2025. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398652 = 105*k + 1401277 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdjdqjiiidd. What is prob of sequence ij?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 17*k**2 + 33*k + 269. Calculate q(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963288281?\nAnswer: 3, 43, 683, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**5 - 33203*o**2 - 269549*o + 1 wrt o.\nAnswer: 140*o**3 - 66406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25224036 to the nearest integer?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 22*u + 4. What is the units digit of g(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1977*v - 2011*v + 626994. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133299 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 3 = 52. Let f(x) = -x - 2. Let y(c) = 2*c**2 - 2*c - 3. Let p(o) = 2*f(o) - y(o). Let i(j) = 3*j**2 + 1. Give d*p(u) - 3*i(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19765360 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 1371 + 1051 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 3*d = -21, 4*d - 84 = -4*m. Suppose 2*q - 68 = 3*i, 2*q - i - m - 47 = 0. What is the highest common factor of q and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**5*r + 14*d**2*m**2*r + 5*d**2*r - 739*d*m**2*r - 2*d*r wrt d.\nAnswer: 160*d**3*r + 28*m**2*r + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:06 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-28))\/(39\/(-12) - -3). Let w be l + -1 + 1\/(-2 - -3). Solve 2*g = -w*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 9*b**2 + b + 5. Let g(i) = -5*i**2 + i + 3. Let v be (4 - 5) + (1 - 5). What is v*g(j) + 3*m(j)?\nAnswer: -3*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12304 or -5.1?\nAnswer: -12304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-5)\/(-6))\/((-20)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -80. Let a(o) = -o**2 - 20*o - 15. Let c be a(-19). Suppose i*u - c*z = 20, 2*u - 4*u + 17 = 5*z. Solve 0 = u*k - 5*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42737 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1031220213?\nAnswer: 1031220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45360 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 z = 26 + -40. Let k = -157.6 + 143.84. Let m = k - z. What is m rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 4*p**2 + 8*p + 15. Let c(b) = -b**3 + b**2 + b + 1. Let r(v) = 3*c(v) - d(v). Is r(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -1.7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14820\/20160 + (-1)\/16 + 15\/(-21)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1223\nAnswer: -7338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.31528 millennia to months.\nAnswer: 303783.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**6\/24 + x**4\/6 + 9*x**2\/2 + 6*x. Let n(b) be the first derivative of v(b). Find the second derivative of n(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 57*d = -12*d + 462 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1331)*5)**2 + (1*sqrt(176) - sqrt(11)) + 0.\nAnswer: 3*sqrt(11) + 532400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:26 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2145, 3, -3, -83, -5 in increasing order.\nAnswer: -83, -5, -3, 3, 2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 740, 1111, 1482, 1853?\nAnswer: 2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33158495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 138, 297, 516, 795, 1134?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/6*8\/6. Let b(n) be the first derivative of 3\/2*n**j - 4 + n**4 + 0*n**3 + 0*n. What is the second derivative of b(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 z when four letters picked without replacement from pzzzppzz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1730 - 852 - 2*p**2 - 878 - 3*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 32. What is the second derivative of 4*v**3 - 3*v**3 - 13*v + g*v**3 + 8*v wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1355516 + -1355516.8200006. Let z = j + 0.82. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 19 = -4*c, -c + 5*j - 6 - 5 = 0. Let o be (6 + c)*(-1)\/2. Suppose 5*a - w - 10 = -4*w, 2*a + 2*w = o. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 12*u + 424. What is the least common multiple of 6 and u?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8903 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94849 is divided by 88?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -314*p + 2312. Determine x(6).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -2\/3, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - b - 2*b**2 + 2 + 6 + 30*b**4 - 7 + 6*b**3 - 5*b**3 to the form l*b**3 + a*b**4 + c*b**2 + d*b + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 541243248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1 + -3)\/(-2). Suppose -3*z + 0*z = -h*i + 91, 4*z = -4*i + 84. Calculate the highest common factor of i and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times 23?\nAnswer: -7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7438494 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**3 + 19*y**2 - 100*y - 34. Is l(53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1233 - 3\/3)\/(17\/(-51))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 221025?\nAnswer: 5746650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-427 - -426)*(-3417)\/(-51)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 5:45 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/17, 3, -2\/13, -5, -700.\nAnswer: -700, -5, -2\/13, 2\/17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 14 + 1 - 3*q**3 to the form a*q**2 + p*q**3 + r*q + u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 12 - 4 + 214*f - 5 as p + q*f and give q.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + s**2 + 5*s + 20 - s**3 - 3*s + 0*s. What is the units digit of o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*b + 429 - 69 = 0, u = 3*b - 378. Let c be (-6)\/(-9)*u\/6. Let r = 77 - c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 6. Let t be h(-6). Suppose 0 = z + 2*z - t. Calculate the highest common factor of 286 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 22*l**2 + 18*l - 105. Calculate x(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809 + -0.4.\nAnswer: -809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 992, 2000, 3020, 4046, 5072, 6092, 7100?\n\"Answer: -u**3 + 12*u**2 + 979*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a - 30. Let o be b(0). Let c be (-2)\/5 + 138\/o. Let y(g) = -g**2 - 4*g + 3. Let m be y(c). Sort -3, 3, m.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (4 - 5) - (18 - 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from {h: 3, r: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 4. Let n be q(3). Sort -4, n, -3 in decreasing order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000692822 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -134. Let c(m) = -7*m + 3 + n*m - 7 - 5*m. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(54)\/sqrt(3) + 1 + (sqrt(18) - (((sqrt(72) + 1 - sqrt(72))**2 - sqrt(72)) + sqrt(18))) + 5.\nAnswer: 9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/20 + 3*c**5\/40 + 37*c. Let s(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*u - 127*u - 131*u + 481*u to the form o + t*u and give t.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4885 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 47*t + 50 = 52*t, -k - 3*t + 18 = 0. Let o(w) = -2*w + 3. What is the smallest common multiple of o(-4) and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390009 and 650015.\nAnswer: 1950045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-35))\/(26\/182). Solve -5*c + f - 5*f - 21 = 0, -u*f = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9643\/22 - -436. Let h be 128\/18 - 7\/(0 + 63). Find the common denominator of i and (2\/(-12))\/(-4*h\/(-1071)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -437 + 459.3. Let u = -6.7 - b. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -66. Let d be s\/3*(-960)\/50. What is the highest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*o = 4*z + 1093*o + 8, 4*z + o = 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (602\/(-98) + 6)*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/5 - t**4\/3 - 5*t. What is the third derivative of u(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 + 6*g**2 - 11*g + 3. Let k(m) = 7*m**3 + 6*m**2 - 12*m + 2. Let w(b) = -5*k(b) + 6*n(b). Give w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 196*n**3 - 385*n**3 + n.\nAnswer: -581*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*s**4 + 5834*s**3 - 15*s**2 + 10267.\nAnswer: 336*s + 35004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -6*y + y + 30, -3*y = -3*p + 12. Suppose -p*z + 72 = 2*r + 13, 4*z - 42 = r. Let c = 2764 - 2643. What is the highest common divisor of z and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 2\/7, 8, 1, -2 in increasing order.\nAnswer: -2, -0.16, 2\/7, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -18, 2, -4 in decreasing order.\nAnswer: 2, 1, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h**2 - 6*h + 10. Let f be c(4). Suppose 5*d - 5 = -0. Solve -f*z = 3 + d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129084*n**2 - 8*n - 50144 wrt n.\nAnswer: 258168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = n + 5*x, 0 = n - 442*x + 441*x - 1. Put n, -2\/87, 52 in descending order.\nAnswer: 52, n, -2\/87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 4, 5 in decreasing order.\nAnswer: 9, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124380509.\nAnswer: 11, 11307319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1474648 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:46 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*f - 72 - 96, -f + 24 = 5*g. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**6\/540 - c**5\/270 + c**4\/54 - 3*c**2\/2 + 4. Let t(s) be the second derivative of j(s). What is w in t(w) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(85\/30))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-105))\/(5\/25)*1441\/11.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -260310?\nAnswer: -260310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96.2 - 95.8. What is the smallest value in -0.02, q, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = 2*u, 0 = -0*t - 4*t - 4*u + 28. Let d(a) = -a**2 + 3*a + 2. Let j be d(t). Factor -2*n**j + 1 + 0*n**2 - n**3 + 5*n + 3*n**2 + 2.\nAnswer: -(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.972 + -0.028. Which is the smallest value? (a) x (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g - 6. Suppose 17 = -10*a + 7*a + 5*x, 4*a = -4*x - 12. Let k(v) = 11*v - 13. Give a*k(d) + 9*n(d).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*s + 2*v, 3*s + v + 2*v = 129. Let r = -37 + 33. What is the units digit of r\/14 + s\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*q + 474*q - 2212*q + 547*q.\nAnswer: -563*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) 8809 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let a(r) = -3*r**2 + 1 - 1 + r**d. Let p(q) = 2*q**2. Give p(a(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 193421*p - 193377*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 5*d + 22 + 29 + 16)*(-6*d**2 + 5*d - 5*d) in the form i*d**2 + y + s*d + b*d**3 and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 0, 3, -47, -5, 2 in descending order.\nAnswer: 6, 3, 2, 0, -4, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/5, -0.056, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*h - 6. Suppose -3*w = -5*j + h - 5, w - 7 = -5*j. Solve 0 = -2*t - j + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 13*c + c - 90 = 0. Let r(t) = -4*t + 2*t**2 + 2*t + 3*t. Let m be r(-2). Solve 3*v + c = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377.93 + 0.93. Let d = -376.99999817 - g. Round d to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t + 585*t**2 + 585*t**2 - 19 + t**3 + 562*t**2 - 1752*t**2. Calculate n(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*n + 101*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*a + 93, 127 = -4*g + 4*a - 57. Let t be (4 - (-10)\/(-3))\/((-2)\/g). Solve -3*u = t - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:35 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**2 - d - 1. Let o(j) = j**2 + 7*j + 6. Let u be o(-6). Suppose 0 = -u*c + c - 3, -3*x = 5*c - 21. Suppose -5*a - x = -3*a. Calculate n(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 166550469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 13606016.\nAnswer: -7\/6803008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-20 + 1647\/81))\/(29 - -2)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 5*o**8\/6 - 7*o**4\/24 - 5*o**3 - 174*o**2. What is the second derivative of v(w) wrt w?\nAnswer: 5600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2\/5)*v*v**(-15)*v assuming v is positive.\nAnswer: v**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 858933442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 8, w: 5, p: 1}. What is prob of picking 1 p, 1 u, and 2 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -12 - 8. Suppose -10955 = -s*g - 5*t, 5*g - 1901 - 9048 = -2*t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20680*s + 54*s**3 + 20680*s - 2.\nAnswer: 54*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, -3\/4, -2\/59, -1\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 12749*c - 6424*c - 14765*c + c**2.\nAnswer: c**2 - 8440*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from slssssssllss?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 - 30*u - 162. Give w(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(39)\/sqrt(3) + sqrt(13) + sqrt(13) + sqrt(26)\/sqrt(2) + -2)**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -130 (b) -4 (c) -11 (d) 4 (e) -3 (f) 0.0234\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*g*m**5 + 113463*g*m**3 - 7416*g*m + g - 875*m**2 wrt m?\nAnswer: 2700*g*m**2 + 680778*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 + 0) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -413386, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, -413386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*4548.146.\nAnswer: -31837.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 639032.75493338.\nAnswer: 639028.75493338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142995988943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 1518.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047873597 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -5\/14, 2, -2\/3, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1418762 and -13\/1418762.\nAnswer: 1418762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:19 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/50*(-76)\/(-6). Let a = -17 - k. Let o(p) = -p**2 + 7*p - 1. Let g be o(6). Solve -3*x - g = -2*x, -y = a*x + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25. Let t be ((-50)\/(-15))\/5*u. Let h(d) = 38*d**2 - 3*d. What are the prime factors of h(t)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - y - 3. Suppose 5*b + 20 = 5*m, 4*b + 17 + 1 = 5*m. Let r be b - 5\/((-15)\/(-36)). Let c = 11 + r. What is t(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-813)\/9)\/((-2)\/(-18)). Let f = 1561 + t. Suppose 907 = 5*d - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33710*a**4 - 7876.\nAnswer: -134840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - (-1407)\/4. Let f(b) = -x*b - 677*b - 7 + 143*b. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 57, -1.\nAnswer: -1, 0.03, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404\/(-52) - 110\/143?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Suppose 0 = -k*i, i - 3 + 0 = -3*z. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*o + 39 = -23, 3*o = -2*y + 38. Solve -31*g + 54 = -y*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*v**4 - 11*v**4 - 7*v**4 + (v + v**3 - v)*(-v - 2*v + 2*v) - v**4 + 4 - 4.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2944489 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0 + 0 - 4)*(4*c**2 - 3*c**2 - 2*c**2).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 70 - 206 + 63 - 6*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 126 + 126*k - 64)*(-3 + 1 + 3*k**2 - 5*k**2) as q*k**2 + b*k + w*k**3 + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Let i(p) = p + 4*p**2 + f - p**2 - 2*p. Let c be i(1). Solve 0 = 2*a - c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 2211*t + 344736.\nAnswer: 3*(t + 224)*(t + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + 4.18. What is the closest to -1 in 2, 4\/7, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30954 is divided by 436?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2413.\nAnswer: 14\/2413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j + 30. Suppose -4*n = 4*c, 2*n - 4*c = c + 21. Suppose 0 = u - 5, -2*g - n = -6*g - 3*u. Is j less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 15*j**2 - 377. Calculate n(14).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389859393 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 18*l + 116. Let p be r(23). Which is the third biggest value? (a) -1\/15 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2475 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 2 + 8*p - 4*p. Let r be n(-7). Solve -5 = w - t, 0*w + 5*t - r = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 13*g**2 - 12*g + 3. Is k(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:48 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30 and -0.031563.\nAnswer: 29.968437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 993376 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/2773 and -50\/47?\nAnswer: 2773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-240)*(-32)\/72?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 - 286 + 14029*h - 285 + 11*h**2.\nAnswer: 11*h**2 + 14029*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -86479 divided by -5087?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -324 in -0.03, -1, -0.351, 0.06, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229679*t + 229679*t - 1787*t**2.\nAnswer: -1787*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.91 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let x(b) = -b + 4. Let l be x(4). Suppose l = 2*h + 1 - 5. Let j(k) = -3*k**h + 0*k**2 + 0*k**2. Determine w(j(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 5. Let a be g(-6). Suppose 3*n + i + a = 0, 9 = -4*i + 25. Let p(b) = -2*b**2 + 3*b - 3. Let q(l) = 2*l**2 - 4*l + 4. Determine n*q(h) - 6*p(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -52718 > -45693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23909 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/2)*q)\/(q*q**(-3)) assuming q is positive.\nAnswer: q**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -218.157 - -216. Let p = -3.909 + 3.866. Let s = a + p. What is the smallest value in 1\/5, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31200 (base 6) to base 3.\nAnswer: 12201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwopwpw. Give prob of picking 2 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, 469, 0.1?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/13*p**4 - 6\/13*p**3 - 2\/13 - 2\/13*p**2 + 6\/13*p = 0. Calculate p.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 9) + (475\/(-75))\/(-1). Let o = -12.23 - -0.23. Which is the closest to 0? (a) 0.1 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153*u**3*w - 3*u**3 - 2*w**4 + 10 wrt w?\nAnswer: -153*u**3 - 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -460*l**4 - 25014*l**3 - 5*l**2 + 67212900*l wrt l.\nAnswer: -5520*l**2 - 150084*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2 and (7\/(-1*(-35 - -3)))\/(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 118611*n + 6 = -118614*n, 0 = 4*f - 3*n - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -8*l + 40. Differentiate 120*k**4 + 36*k**l + 207 - 47 - 36*k**2 with respect to k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(612) - (sqrt(612) + -1))*3)**2 + (4*(sqrt(833) + 4 + -1 + sqrt(833) + sqrt(833)))**2.\nAnswer: 2016*sqrt(17) + 120240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 681 - 7316?\nAnswer: -6635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 24 + 24 - 86*k**2.\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3341 and -1.2.\nAnswer: -3342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 11*g**2 - 9*g - 1. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1505 - 0.0495. What is the nearest to 14 in -2, -0.4, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 829 - 458. Put 2, 1, 0, d in ascending order.\nAnswer: 0, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1643410 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*a + 208, 5*a + 0*a = p - 59. Calculate the common denominator of 1\/((-6)\/23) + -3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*w + 16, -619*w + 4 = -v - 623*w - 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 19. Let n be z(-15). Solve -3*v - 20 = 4*a, n*a = 5*v + 3 - 23 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + 2*o + 7, 5*k - 29 = 3*o. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*i**2 - 3315*i**2 + 3170*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/25893440?\nAnswer: 1\/25893440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 545\/(16\/(-1200)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165*a**2 + 4*a - 84*a**2 - a**3 - 73*a**2 - 32.\nAnswer: -(a - 8)*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2514?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 399.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(4 + ((-34)\/4 - -6) + -1). Let d be (-16 - 0)\/((-9)\/(-6)). Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/2))\/q*q**(1\/5)*(q**0)**38)**(5\/3) assuming q is positive.\nAnswer: q**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/584 and -13\/3723.\nAnswer: 29784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*r - 2440 = 182*r. What is the least common multiple of 7 and r?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec + 449e?\nAnswer: 43b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -27, -10, 7?\n\"Answer: 17*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.51. Sort p, -0.3, 1\/3, 0.\nAnswer: -0.3, 0, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose 0 = 2*x + x - 312. Suppose -x*a + 10 = -102*a. Sort -4, a, m in descending order.\nAnswer: a, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 s when three letters picked without replacement from fqssaq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -970309\/1128150 - -2\/22563. Let r = s - 1333\/950. Find the common denominator of (-2)\/4 - 34\/(-44) and r.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9\/2))**(-2\/7) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3910*w + 3904*w - 24. Let s(f) = f**3 - 21*f - 18. Let a be s(w). Factor 0 + 5\/4*q**a + 0*q + 1\/4*q**3.\nAnswer: q**2*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l**3\/l*l)*l)**(1\/19)*(l*l*l\/(l*l\/(l*l**(1\/6)\/l*l)))**(4\/19) assuming l is positive.\nAnswer: l**(32\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 14*w - 3*r - 3003, 3*w + 3*r = 3021. Calculate the remainder when w is divided by 264.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8582.\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h - 14. Let p = -21 + 26. Let j(m) = 6*m - 9. Calculate p*f(t) - 8*j(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 1. Let f(u) = -u**3 + 7*u**2 - 13*u + 44. Let r be f(6). Let i(m) = 5*m**2 + 2*m - 3. Calculate r*y(x) + i(x).\nAnswer: 3*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1875\/(-475))\/(-25).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.33973 centuries?\nAnswer: 403.3973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let z be b(3). Let o = z + 2. Suppose o*u + u - 3 = 0. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20873580 and 1092?\nAnswer: 20873580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide ((-1)\/(-3))\/((-19)\/(-4047))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -365714 + 4a?\nAnswer: -365675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-92)\/(-12)*9. Let v = -74 + k. Is v - (-259 - -2) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1768 and 71656?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 9 = 2*c. Put -3, -10, 5, c in descending order.\nAnswer: 5, c, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311744981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.9 + 39. What is the nearest to -2 in 3, 2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/6 + 4*o**3\/3 + 2*o**2\/3 - 16*o\/3 = 0.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 1124043?\nAnswer: -1123421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 1 - (-225 + (6 - -265))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 11823.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -79*a**3\/15 - 77*a**2\/10 + 2*a\/5 + 541. Factor o(v).\nAnswer: -(v + 1)*(79*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 124 = -0*d. Suppose -d*h = -26*h - 215. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150360 and 325422?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*20*8\/20. Let k(c) = -11*c**2 + 17*c - 2. Let o(n) = 6*n**2 - 8*n - 2. Let m(z) = 5*k(z) + 9*o(z). What is the least common multiple of m(i) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3\/19, 0.3, -2\/5 in descending order.\nAnswer: 8, 0.3, -3\/19, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*-6*(sqrt(19) + 4*(sqrt(19) + 0 - sqrt(19))) + (((sqrt(152)*-2)\/sqrt(4))\/(sqrt(2) + sqrt(200)*-1))**2.\nAnswer: -36*sqrt(19) + 481\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 527975 and 1400?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 10:55 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135948 and 8?\nAnswer: 271896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:14 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*u + 92 = 171*u. Which is the second smallest value? (a) -1 (b) 6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57023553 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**5\/5 - 13*s**4 + s**3\/3 - 80*s**2 + 98. Find the third derivative of n(c) wrt c.\nAnswer: 24*c - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -42*g - 11. Let w(s) = -7*s - 2. Let z(q) = 6*k(q) - 34*w(q). Let r(p) = 7*p - 1. Let l(o) = -5*r(o) - 2*z(o). Let y = 4 + -5. What is l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000351109 rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 269508 and 3035.\nAnswer: 1347540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*y, -5*a = 4*y - 9*y. Let p be a\/1 + (-36)\/22 - -2. Factor -2\/11*f - 2\/11*f**3 + 0 + p*f**2.\nAnswer: -2*f*(f - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 152 = 3*u - 2*u, -z = -2*u - 37. What is the remainder when 59 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15859807 is divided by 32040.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r. Suppose r = 2*l - t - t, t = 4*l. Solve a - 2 = -l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 466*g**2 + 238*g**2 + 470*g**2 - 1160*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 1)*(-q**2 + 1 - 4*q - 2*q + 3*q) to l*q**2 + v + a*q and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1110)\/3 + -1 + 4. Calculate the remainder when 6\/(-15) + b\/(-5) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**2 - 7592*r - 6731.\nAnswer: 2*r - 7592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 814994306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(-2)\/g*(g**(1\/10)*g*g)\/(g\/g**6))**(-27) assuming g is positive.\nAnswer: g**(243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -2, -5 in increasing order.\nAnswer: -5, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.8 (c) -84 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7360599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 n when four letters picked without replacement from pnnnupnpn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 214\/42 - (-91 - -96). What is the closest to -2\/7 in 1, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*a + 196 = 4*d, -4*a = 3*d - 194. Suppose -3*f - 3*f + d = 0. Suppose 4*u - 9*u + 50 = 0. Is f > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b7 (base 16) in base 4?\nAnswer: -32313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)\/(q\/(q*(q**(2\/63)\/q)\/q))*q**5\/(q\/(q\/q**(-1))) assuming q is positive.\nAnswer: q**(1396\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*z - 1153*z - 62*z**2 + 84*z.\nAnswer: -62*z**2 - 1580*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*k + 17084 = -5912 - 6699 + 3889 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -43. Suppose -2 = s - n. Suppose 5*w + 0 = 10. Solve 2*h - s = -w*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/5 - 117448*p**2\/5 - 117446*p\/5 = 0.\nAnswer: -58723, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 239. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.12 - 3.1. Let i = -0.12 + n. Let a = 10 + -11. What is the closest to 1 in i, a, -2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10855\/1670)\/(13\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-23))\/(2*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 117, 264, 459, 726, 1089, 1572, 2199, 2994?\n\"Answer: 4*n**3 + 119*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577473863?\nAnswer: 3, 7, 73, 587, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5585\/42 - 406\/3. What is the common denominator of -29\/20 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31\/276 + 9\/46. Let f(s) be the third derivative of -2*s**2 + 0*s + 0 - v*s**4 - 5\/6*s**3. Calculate f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 5, e: 1}. What is prob of picking 2 x, 1 e, and 1 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 12 - -10) + (-4 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.1537758 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -218, -499, -892?\n\"Answer: -56*o**2 - o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 347557, 347561, 347565, 347569?\n\"Answer: 4*t + 347553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 898.959 + -899. What is the second biggest value in 2, y, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*u - 55 + 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + 3 + (2*sqrt(325) + sqrt(325))*-2*-6)*2 + 0)**2.\nAnswer: -3600*sqrt(13) + 1684825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {r: 3, h: 2, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 2. Determine h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 76*u - 130. Let m be n(78). Which is the fifth biggest value? (a) -2\/3 (b) 2\/9 (c) m (d) 3\/8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a**2 - 5*a**2 + 2*a**2 + 0*a**2. Let u(v) = -5*v. What is u(j(i))?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 1. What are the prime factors of l(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r - 70. Let g be a(10). Let w = 14 + g. What is the smallest common multiple of w and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 0 - 35. Suppose -2*i + 8 + 29 = -f, -o*f - 176 = -i. What is the units digit of 20\/f - (-1047)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 344736.\nAnswer: 1\/19152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2\/99 (c) 2 (d) 109 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2420850 and 1800?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.099957 - 1.1. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -125\/7, 7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2))**26)**(-2\/77))**16 assuming g is positive.\nAnswer: g**(416\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620 and 1790100?\nAnswer: 1790100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 5*d - 6. Let b be v(-6). Let x(f) = -f + 3. Let q be x(b). Solve q*p + 1 = -2*u - 2*u, -u - 10 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -999, -2031, -3097, -4197, -5331, -6499, -7701?\n\"Answer: -17*i**2 - 981*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372731992 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403774718.\nAnswer: 2, 17, 967, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 + 6*j**2 + 31*j - 11. List the prime factors of f(9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -10817, -21250?\nAnswer: -31683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295720 is divided by 71.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*g**2 - 281 + 281 - 2*g + (g + 0 + 0)*(-3 + 3 - 2*g) + 2*g + 39*g**2 - 2*g as d + z*g**2 + r*g and give z.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -8 in descending order.\nAnswer: 7, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 17}. What is prob of picking 3 n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 72, 243, 574, 1119, 1932, 3067?\n\"Answer: 9*l**3 - l**2 + 5*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*(-6)\/56?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 1)*(193*p + 326*p + 78*p) in the form v*p + y and give v.\nAnswer: -1791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341 + 163*p + 341)*(-3*p - 19 + 20 - 16).\nAnswer: -489*p**2 - 2445*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40975 - 19252. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d - 22. Let b be m(3). Solve 0 = 4*z - r + 5, r - b = 2*z - 2*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*1*(258\/(-430))\/((-144)\/600).\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2*(-1)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15633 + 15643. Is -273 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and (-3)\/(-12) + 955\/140.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + y - 5 + y**2 - 1 + 6.\nAnswer: -5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 869d - -722d?\nAnswer: f8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/80)\/(((-6)\/(-1))\/((-1568)\/(-112)))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0.5 (c) -6\/361 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1.541, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8566 times 0.4\nAnswer: -3426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = k - 7*k - 5*o - 0*o, -4*k + o = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 2*s - 2*s**2. Let u(n) be the second derivative of 23*n**4\/12 - 299*n. Calculate j(u(l)).\nAnswer: -1058*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 170 - 104 - 95 - 96 + 431.\nAnswer: -g - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -101\/5. Let x = 60.8 - 59.8. Which is the second smallest value? (a) q (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((sqrt(36)\/sqrt(3) - -2*sqrt(3)*2)*-4 + 1)**2).\nAnswer: -96*sqrt(3) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 11. What is the closest to -0.1 in -0.7, 3\/8, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 0*r**3 - 4*r**3 - 2*r**3 - 4*r**3 + 5*r**3 + (-2*r - 3 + 3)*(r**2 - 2 + 2))*(2*r**2 + 3278*r - 3*r**2 - 3238*r).\nAnswer: 6*r**5 - 240*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6846950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 2. Let l(m) = m**2 - 2*m - 6. Let w be l(4). Let z be f(w). Let g = z + 46. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9088600902.\nAnswer: 2, 3, 139, 10897603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*y**3 - 8*y**2 - 2*y**2 - 2 - 7*y**2 - 84*y**3 - 2*y**2 wrt y.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-12) + 3564\/1584?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -9855, 3, -1 in decreasing order.\nAnswer: 97, 3, -1, -9855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = -3. What is the second derivative of -27*a**4 - 3*a + 49*a**h - 17*a**4 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12*42*8\/3. Let q = -17 - -33. Let v = m - q. Solve -2*k + v = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 18 + 18. Let a = f - 19. Let p(r) = -3*r + 7. Does 13 divide p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) -1\/4 (c) 2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11210102102002 (base 3) to base 9\nAnswer: -4712362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 3*c. Suppose 0 = -3*x + c*t - 5*t - 2, 4*t + 10 = -3*x. Solve -x = -2*g - 3*k, 0*g + 3*k = 2*g - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 27 + -30 + (3 - -3) + 2 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-3))\/(-1*2). Let p = -0.04592 + -0.09408. Is s >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237 - 210. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31608 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + 423. What are the prime factors of c?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/6 - x**2\/2 + 2*x. Let y be d(-2). Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3)*1 + 2 + 7. Suppose 0 = -2*l - o, 4*l + 12 = -2*s - l. Solve 0 = -s*w - 0 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141.5 - -10. Let m = 132 + g. Let v = -10\/11 + 72\/55. Put 4, v, 2, m in descending order.\nAnswer: 4, 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -864\/245 + 16\/49. Which is smaller: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -811*l + 879*l - 197 - 619 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1317\/9 + (-32)\/(-48). Suppose j*x + 84 = 161*x. Let b(w) = -6*w**2 + 0*w**2 - 2 + w**3 - 2 + w. Give b(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11703 + 11716. Solve 7*r + 29 = -k for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31103*d*q**2 + 44493*d + q**4 - q**3 wrt q.\nAnswer: -62206*d*q + 4*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -2\nAnswer: 137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, s: 5}. Give prob of picking 2 u and 1 s.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 43594 = 4*v, 21*x - 24*x = 5*v - 65325. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -3.41. Which is the third smallest value? (a) -1\/4 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3852, 7707, 11562, 15417, 19272?\n\"Answer: 3855*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (1 - (0 + 19))*336\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -991.08662 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -4. Let z be j\/(4 + (-8)\/4). Let a be 1\/(-3) + 30\/z. Solve 0 = -5*h + a*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 13*d**2 + 48*d + 104. What is x(4)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -4*k. Suppose 3*t + 2*h = t + 222, 5*t - k*h - 520 = 0. Suppose 0 = -0*m - 3*m + 3*a + 60, 3*a + t = 5*m. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -6, 3, 28, 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 63.3 and 0.\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:02 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3, 573, -2, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = j + 5, -5*j = 5*l + 30 - 5. Suppose 21*a - 16*a + 90 = l. Calculate the remainder when (-1822)\/a + 12\/(-54) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.7 - -38.1. Let z = -29 + p. Sort z, 3, -4 in decreasing order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (0 - -1))*-1. Let g = 60.3 - 57. Let r = g - 3.34. Which is the smallest value? (a) f (b) r (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, m: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -34\/39, 5, -1, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*h - 345*h - 6374 + 2*h**2 + 6371 as k*h + r*h**2 + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 1669437*h**2 - 696730766775*h + 20206596257381.\nAnswer: -(h - 29)*(h + 834733)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, -1.4 in increasing order.\nAnswer: -5, -1.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300 - 298. Let 0 + 4\/5*i**3 + 0*i**z + 0*i - 4\/5*i**5 + 0*i**4 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + -308?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 434*p - 42101. Give f(97).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12160 - -12?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 5, r: 3, u: 1, j: 2}. Give prob of sequence uzk.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-19 - (18 + -11)) + 37).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 42. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 - (5 + 8) - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -22 (c) -0.06 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 - 130040*o**2 + 19990586*o - 769181028 = 0.\nAnswer: 77, 64866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 11*w**2 - 12*w + 8. Calculate the least common multiple of l(-12) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -12*l + 2*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 12:13 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/3)\/(1\/5). Let v = -3 + z. List the prime factors of (v - 0 - -2)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*k + 30 - 8, 4*q + 12 = 5*k. Let f(b) = 20*b - 29. Let c(x) = 19*x - 28. Let i(a) = q*f(a) - 3*c(a). Find the first derivative of i(v) wrt v.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2633500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1008*v + 418680. Determine b(415).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -21?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 10. Let c be a(6). What is the remainder when 44 is divided by 2 + (18 - 1 - c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -111 + 112. Which is smaller: l or 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01499919 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 15*m - 16. Determine c(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 33*j + 90.\nAnswer: 3*(j - 6)*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from rzrjzjzyzyyc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-175)\/(-700))\/((-1)\/38)*(-4 - -2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 16*c**2 - 16*c**2)*(6 - 3 - 2).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11888.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 5*b + 5. Let q(t) = -3*t**2 + 4*t + 4. Let g(z) = -5*q(z) + 4*v(z). Let k(u) = -2*u**2. Determine k(g(d)).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*u + 5*a, 5*u + 62*a - 67*a = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 40 = -0. Let c be (9\/6)\/((-6)\/x). Suppose -40 = -c*h - 4*n, 5*h - 64 = 2*h - 5*n. Calculate the remainder when 83 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkacaaadkcadaaa. Give prob of picking 1 k and 1 c.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by 3?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + -3 - (23 - 27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4000 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*h - 149*h = -56, -7*h + 88 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 46 - 44 = 0. Find t such that t - y - 1\/8*t**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/583 at most as big as -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = r - 11, 0 = -r + 3 - 4. Suppose -o*j - 4*y = 4 - 60, 5*j - y - 88 = 0. Let n(i) = 8*i - 95. Calculate the remainder when n(20) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4885471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*s - 2*u + 17, 1 = 5*s + 4*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.93 - 84.9923454979?\nAnswer: -86.9223454979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x. Let l = 7 + 4. Let m(k) = -k - 11 + l. What is m(r(a))?\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*q = -11, -3*x - 6731*q + 6729*q = 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {o: 2, l: 2, w: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*p + 21, 5*o + 6 = p + 2*p. Let b be 2\/o*(-18)\/4. Suppose 8*r + 2*l = b*r + 10, -5*r + 10 = 4*l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + -10)\/(1\/3). Let p = -59 - g. Let u(r) be the first derivative of r**2\/2 + 3*r - 2. What is u(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -16. Let r = -23.5 - n. Let s = r - 3. Round s to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 + 24*d + 17. Is j(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 68) + 240 + -197.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -4 (c) 484 (d) 39 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 392, 391, 390, 389?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182284699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(847)*-1*3*-6 + 0)*-1*-3)**2.\nAnswer: 2222866800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458*(4 - 15)\/(-11) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - p + 1. Let q be w(1). Solve 15 = -2*u - q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 857379 - 6013089\/7. Let w = n - -1640. Let t = w + -179\/14. What is the common denominator of 91\/8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1*sqrt(14))\/sqrt(7) - (sqrt(2) + (sqrt(2) - sqrt(200)\/sqrt(4)))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. Let s be -2*148\/224 - 8\/(-14). What is the closest to l in -1\/8, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 36*o**2 - o. Let k be f(1). What is the units digit of (8\/(-5) + 2)*k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/2 + 919*i**3\/2 - 16035*i**2\/2 - 165083*i\/2 + 90100 = 0 for i.\nAnswer: -8, 1, 25, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4784.32 + 5.0616696.\nAnswer: -4779.2583304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30339313\/190 + 159680. What is the common denominator of 91\/16 and c?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 6 = 0. Let a(u) = 1 + u + 2*u**2 + 3*u**q - 6*u**2. What is a(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14317 (base 14) to base 16.\nAnswer: c351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y - 2)*((3*y + 2*y - 4*y)*(3*y**2 - 5*y**2 + 0*y**2) + 0*y**3 + y**3 - 2*y**3 + 5*y**3 + 28*y - 28*y).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(171) + (sqrt(171)*1*4 - sqrt(171))))\/(sqrt(54)\/((sqrt(96)\/sqrt(4))\/sqrt(4))))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(162) + 0) - (6*1*sqrt(162)*5)**2)*6.\nAnswer: -874800 + 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4269.1922 - 4269. What is y rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + z + 2. Suppose -2*t + 15 = -b + 6, 4*b = -20. Let o be p(t). Let r(k) = -k + 21. Is r(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2\/9 - 23420*p\/9 = 0. Calculate p.\nAnswer: -5855, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-12) + (14\/((-168)\/450))\/(-9). Let t = 6 - -4. Let n = t - 2. Put 0, n, k in decreasing order.\nAnswer: n, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -547, -1040, -1547, -2074, -2627, -3212, -3835, -4502?\n\"Answer: -d**3 - d**2 - 483*d - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*m + 4982 - 632 + 1006 = -320*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 22 - 22.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 183\/3 + 4 - (5 - 9). Suppose -77*f + 640 = -c*f. Calculate the smallest common multiple of f and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = o. Suppose -5*d = p - 18, 4*d - 2*p - 9 = -p. Suppose -o*y + 25 = l, -l + 8 = d*y - 7. Solve l = -s - 4*w + 20, 5*w - 5 = -s + 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -99*o - 3759. Let d be q(-38). Sort -2, -23, d, 2 in increasing order.\nAnswer: -23, -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232100200 (base 4) to base 16\nAnswer: -2e420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8397791.\nAnswer: 19, 29, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-91118)\/(-145) - -3) + (-3)\/(-5). Is s smaller than 3785\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 99716.83 millennia?\nAnswer: 99716830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14835*h**4*n - 7*h**3*n + 2*h**2 - 2*h*n - 149*h - 685*n - 1 wrt h.\nAnswer: -178020*h**2*n - 42*h*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12229, -48828, -109835, -195250, -305073?\n\"Answer: -12204*f**2 + 13*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 3470558.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*m = 974 + 190 + 501 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2 + 39*t - 7. Give x(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2946*q + 2*j + 2 = -2948*q, 5*q = -4*j - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3525694576 to the nearest integer?\nAnswer: 59378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536734039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 4. Let q(u) be the third derivative of u**6\/120 - 2*u**5\/15 + 7*u**4\/24 - u**3\/2 + 9*u**2. Let j be q(7). What is t(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -785 bigger than -784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/2 - 73*r**3 - 903*r**2\/2 - 684*r = 0. Calculate r.\nAnswer: -3, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11)*-1) - (sqrt(45)\/(2*sqrt(9)) - sqrt(5)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*0.344319\nAnswer: 0.017904588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3\/2, -122, -1\/23?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 34*j + 17. Determine u(4).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 5. Let l be a(-5). Let w(x) = x**3 - x**2 + 5. Let g be w(l). Suppose -5*o - g = -20. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 5\/4*k**3 - 1\/4*k**4 + 5\/4*k - 3\/4*k**2.\nAnswer: -(k - 1)*(k + 1)**2*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4522 and 1463?\nAnswer: 49742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Suppose -b*g + 3453 = -2577. Suppose g = 13*c + 2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -119. Let n be 29 - 24 - (0 + s). Which is the second smallest value? (a) -9\/2 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 14 + 2. Let j = s - 3. Let w = -10\/7 + 27\/14. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 91, 444, 1369, 3154, 6087?\n\"Answer: 48*t**3 - 2*t**2 + 23*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-2 + 1 + 0 + 20).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -731 bigger than -802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, -1160, -3188, -6028, -9686?\n\"Answer: -u**3 - 397*u**2 - 24*u + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528260608.\nAnswer: 2, 1031759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251778 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d*s**3 + 1104*d*s**2 + 145*d*s - d + 83*s wrt s?\nAnswer: -84*d*s + 2208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 275 + -279. Put 0, 2, -3, c in decreasing order.\nAnswer: 2, 0, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 19*b**7\/210 - 61*b**3\/3 - 181*b**2. Find the first derivative of n(l) wrt l.\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 124*g**2 - 208*g - 4846. What is t(122)?\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15760\/(-1056) - -15)*(-27)\/90?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 + 3*k. Suppose -2*w + l = -33, 4*l = -11 - 9. Let u(j) = 19*j + 16 + w - 30. Calculate u(z(y)).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g + 1017. What is p(48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from oofofofoffooffooffo?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 17*y**2 - 9*y - 17*y - 12. Let n(z) = -5*z**2 - 9*z - 4. Let q(a) = -11*n(a) + 4*o(a). Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327570 + -61?\nAnswer: 327508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:01 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 45 - 69 - 111 = 0. Solve d*c = -115 + 151 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 5 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -19*c + 610. Let t be q(32). Solve -t*f - 13*b = -9*b, 0 = -4*f - b - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w + 0*w**4 + 2\/3*w**6 - 33 + 0*w**2 + 20\/3*w**3 + 0*w**5. Find the third derivative of o(p) wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 21 = 20*x. Let h(q) = -5*q - 1. Let b(a) = 2*a. Let l(u) = -u**3 - 4*u**2 - u - 1. Let d be l(-4). Let i(c) = d*h(c) + x*b(c). Determine i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 30. Suppose -16 = -3*o + 2. Solve 0 = g + d*g + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -94. Let t = 3\/19 + -104\/57. Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-4)\/sqrt(8))**2 + sqrt(11) + sqrt(11) + sqrt(11) + 2 + sqrt(11) + -4.\nAnswer: 4*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144187, 144192, 144209, 144244, 144303, 144392, 144517, 144684?\nAnswer: 144899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948114 is divided by 118510?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3460, 13692, 30698, 54484, 85056, 122420, 166582?\n\"Answer: w**3 + 3381*w**2 + 82*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, 5, 6, 16, -192 in decreasing order.\nAnswer: 16, 6, 5, -2, -32, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247933401 divided by -143.\nAnswer: 8726807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugrurrcuggrgguggrr. What is prob of picking 2 r?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387636 - -387670.9854. Let v = a + -35. Round v to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 266*y - 32518. Give d(121).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12212?\nAnswer: 12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h + 2*x, 4*x = 9*x - 20. Which is smaller: -2\/529 or h?\nAnswer: -2\/529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*-3)\/(1*sqrt(720))*-6)**2 - 5*(3*sqrt(126)\/sqrt(3))\/(-6*(sqrt(6)*1 + sqrt(6)) + sqrt(6)).\nAnswer: 15*sqrt(7)\/11 + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 582.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (sqrt(405) + -1 - sqrt(405))*2*-5*5)*3*-2)**2.\nAnswer: 2624400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*k + 3*k + 3*m, 2*m + 4 = 0. Let g be (13 - 14)\/(((-1)\/k)\/1). Find the first derivative of g - 4 + 13*n**2 + 5 wrt n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1513016 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (40 + -30)*932*(4 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 12494*d\/7 + 1230736\/7.\nAnswer: -2*(d - 6344)*(d + 97)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = -3*x, 2*x + 3*x - 33 = -2*c. Let o = -3 + x. What is the highest common factor of o and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 412241?\nAnswer: -412234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 7*j + 10*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9567460*x - 810 = -9567514*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(-2)*((k*k**5\/k*k)\/k)\/k*k*k**8 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:53 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2. Let m(s) = s + 3. Determine 4*g(v) + 3*m(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.53 - 1.03. Let s = -0.015 - 0.03. Let l = s + 4.045. Sort g, 0.1, l, 0.2.\nAnswer: 0.1, 0.2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.08, 2, 160, 2\/983.\nAnswer: -5, -0.08, 2\/983, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vff when three letters picked without replacement from ffvfvvvvvfvvffvvvv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 65*f + 242. Let p(g) = -g. Let y(j) = j**2 - 6*j. What is f*p(r) + y(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2221753\nAnswer: 1110876.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57364 + 44136 = 5*m. Suppose -k + 2*k - m = 0. Round k to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/1*132\/20.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 less than -248702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*s + 18 = 3*v, -2*s - 6 = -3*v. Let m be (-88)\/(-20) - (-1)\/(10\/(-4)). Let k = v - m. Solve k = -2*j + 5 + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.7 + -10.2. Which is the biggest value? (a) 2\/5 (b) 0.02 (c) m (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*(-42)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 4. Let u = -17 + 20. Suppose -5*d - 34 = u*k, d + 3*k + 6 = -8. Calculate o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4607 + -19\nAnswer: -19.4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:33 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*j = 375*j + 4*a - 238, -4*j = 4*a - 96 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (64566\/(-315))\/17 - -12. Let z = 10 - 15. Put z, l, -2, -4 in increasing order.\nAnswer: z, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 75*j**2. Let z(r) = 2*r. Let s(q) = 8*q. Let m(g) = s(g) - 5*z(g). Determine m(k(w)).\nAnswer: -150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78577*j - 78664*j = 4785 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.247489 times -213?\nAnswer: 265.715157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14877631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + 3*w + 2)*(-88*w**3 - 122*w**3 - 240*w**3).\nAnswer: -450*w**4 - 900*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 1, i: 2, h: 1, x: 1}. What is prob of picking 2 i, 1 h, and 1 x?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 29670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/4 - 11543*h**3\/4 - 8314554*h**2 + 75041792*h - 66724352 = 0. Calculate h.\nAnswer: -5776, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54788256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/960)\/(95396\/(-56855056)). Let d = g + -2\/23849. What is the common denominator of 6\/15 + (-484)\/(-90) and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265530165?\nAnswer: 3, 5, 89, 198899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 95 (b) -1\/3 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1046, 1053, 1066, 1085?\n\"Answer: 3*n**2 - 2*n + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/120 + 11*h**5\/60 + 13*h**4\/24 - 4*h**3\/3 - 2*h**2 + 49. What are the prime factors of r(-6)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 + 6*x - 37. Suppose d = -2*h + 7*h, -4*d + 2*h + 54 = 0. Is l(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 1, t: 1, f: 4, k: 2}. Give prob of picking 1 u and 2 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231426098*l**2 + 1032672*l - 1152.\nAnswer: -2*(10757*l - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80.39 - -80. Let n = 0.01 - w. Let z = 0.2733 + -0.3133. What is the second smallest value in n, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 4*r - 7. Let l(q) = 0*q**2 - 2*q**2 - 5 - 2 - 3*q. Let h(y) = 3*g(y) - 4*l(y). Find the first derivative of h(a) wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1662669 by -111.\nAnswer: -14979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**7\/105 - v**6\/60 - 214*v**2. Factor f(c).\nAnswer: -2*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2489952 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 42700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 1, s: 3, j: 8, o: 1, p: 2}. What is prob of picking 2 p and 2 j?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/27 - 38\/(-9). Solve 0 = 2*c - 6*c - b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 53, 87, 127?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*q**2 - 3 - 106*q**2 + 55868*q**3 - 55870*q**3.\nAnswer: -2*q**3 - 320*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*6\/(-9)*2. Let h be (0 - 80)*10\/k. Let z = 29 - 13. Calculate the highest common divisor of z and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 2, q: 7, u: 7}. Give prob of sequence uqz.\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/6 - 37*p - 5. Let g(k) be the third derivative of 0*k**3 + 0 - 1\/6*k**4 + 0*k - k**2. Determine g(f(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f**2 + 5*f + 5. Let m be d(-2). Find the second derivative of m + 14*o**5 + 13*o**5 - 47 + 4*o wrt o.\nAnswer: 540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 + 2. Let h be y(3). Let k be ((-80)\/24)\/(1\/(-15)). What is the highest common divisor of k and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p, -2*s + 3 - 22 = -3*p. Let k be (-38)\/(-10) - ((-5)\/s)\/(-5). Let o = 39 + k. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 427925, -10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12984 and 2590818704?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6025 + -6023. Solve -h*a - 5*v = -9 - 3, 3 = -5*a + 4*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 1. Let x = 4 + 0. Calculate the remainder when h(6) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 62. Let b = p - 197. Sort 4, -5, 0, b in descending order.\nAnswer: b, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/30 + j**2 + 212*j. Let s(n) = 6*n. Let q(a) = a. Let h(g) = -11*q(g) + 2*s(g). Give l(h(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 23053 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 35*k - 221. Let n(j) = 60*j - 440. What is -4*n(f) + 7*p(f)?\nAnswer: 5*f + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -3*g**6\/10 - 51*g**2\/2 - 52*g - 20. Let d(w) be the first derivative of l(w). What is the derivative of d(i) wrt i?\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3991958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.041 + 9.241. Let w = 26.7 + -36. Let p = d + w. Which is smaller: p or -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 + 606*a**3 - 7401*a**2 + 5598*a + 13608 = 0. What is a?\nAnswer: -1, 2, 12, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Let i(f) = -2*f - 1. Let s(o) = -4*i(o) - 3*q(o). Let r(n) = -2*n**3 - 10*n**2 + n + 5. Let p be r(-5). Let b be s(p). Does 4 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440010 divided by -146670?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 586*q**2 - 408*q**2 - 2695*q**2 + 13*q.\nAnswer: -2494*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23823191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/20 + f**4 + 5*f**2\/2 - 4*f. What is the units digit of a(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337489?\nAnswer: 337489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/6 (b) -4 (c) 3\/10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 276003?\nAnswer: 4968054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -566010 rounded to the nearest 1000?\nAnswer: -566000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = 2*o + 125, 0 = -2*a + 3*o + 50. Let s = 13 - a. Let x = 11 + s. Which is smaller: x or -1\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 7*k = -10. What is the smallest common multiple of 12 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, 3249, 11085, 23061, 39177?\nAnswer: 59433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128540 = -18*u - 2*u. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1, 2\/68579637.\nAnswer: -1, 2\/68579637, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let y(z) = -z - 103 + 103. Let l(r) = b(r) + 3*y(r). Let c(i) = -8*i. Calculate c(l(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 1. Let v = 1860.97 - 1861. Put -5, v, 0.1, r in decreasing order.\nAnswer: r, 0.1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 4. Let k = -1269 - -1268. Determine i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 - q + 3. Let d(k) = 2*k**2 - 1. Let u(y) = 4*d(y) + o(y). Let i(b) = 13*b**2 + 5*b + 5. Determine -3*i(v) - 15*u(v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -775800 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -20576.72 to the nearest 100.\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/340)\/((-1)\/(-56)*2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4706720 and 122784.\nAnswer: 14120160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.20199, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-286)*(-11)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*o*t - 2*n**2*o - n**2*t - 411*n**2 + n*t + 2*n - 37*o*t + o wrt n.\nAnswer: -12*n*o*t - 4*o - 2*t - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -3, -6, -9, -12?\n\"Answer: -3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 1, l: 1, e: 4, v: 1, f: 6}. What is prob of sequence lfe?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 22 = -5*o + 26, -r = -2*o + 17. Let a = o + -7. Let w be (a\/7)\/((-2)\/(-14)). Solve 3*j + 0 = 4*h - 5, 2*h = -w*j - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085 = -40*p - 99*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 948274.7 days in hours?\nAnswer: 22758592.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450)*2 - sqrt(450))*-5)\/((sqrt(240)\/sqrt(4))\/sqrt(6))*-1)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/5, 2\/59?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 24*b + 7*b = -259 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -8 - (-1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 12*d - 4\/5*d**5 + 1 - 4*d**4 + 8*d**2 - 8\/3*d**3. Find x such that z(x) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 4*o)*(3*o + 0 + 0)*(99*o**2 + 162*o**2 - 22*o**2).\nAnswer: -2868*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 274539.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.787689 rounded to 2 decimal places?\nAnswer: -15.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.221603926 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20103, 19349, 18599, 17853?\nAnswer: 17111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*y - 2*r - 12, -2*r = -y + 6. Let o be 1 + 3 - (-2)\/(-2). Calculate the highest common factor of y and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -96. Let q be 27\/6 - j*(-2)\/(-12). Suppose 3 = i + b - 11, -60 = -4*i - q*b. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**5*i - h**2*i - 58*h**2 wrt h?\nAnswer: 420*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 + 3*d - 6. Let o(u) = -u**3 - 4*u**2 - 4*u + 7. Let w(m) = -4*o(m) - 5*v(m). What is w(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 20*y - 17. Let t be f(19). Suppose 13*m - 12*m + t = 0. Let u(a) = -4*a**3 - 2*a - 4. What are the prime factors of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/(7\/(-21)*(-1)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12876064?\nAnswer: 2, 211, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from aalttot?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024973152 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4657 - 4105. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -2\/107, -0.4?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197349331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -b0?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029945618 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d)*((1 + 1 - 4)*(0*d**4 - d**4 + 0*d**4) - d**2 + 3*d**2 - 3*d**4 + 0*d**4).\nAnswer: 2*d**5 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1*(-12)\/4. Suppose -3*j - q*j = -40. Let g(b) = -14 + b**2 + 0*b - 3*b + j. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 27*v + 5*v - 5*v - 14*v - 10*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 12 = -17*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 3. Let u(p) = -4*p - 4. Let g(h) = 7*t(h) + 5*u(h). Let f(k) = -k**2 + 10*k + 13. Let b(s) = -2*f(s) + 22*g(s). Suppose b(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. Suppose 16 = b + 4*d, 0*d - 26 = -k*b - 2*d. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 0 - ((-1 + 3 - (-4 + 1)) + 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 19*k + 2. Let z(m) = -5*m**2. What is r(z(w))?\nAnswer: -95*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.2 (c) 80 (d) 2\/3 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -j + 9, 0 = 2*j + 3*j + a - 27. Find the second derivative of -5*v**5 - 1 + j*v + 0*v**5 + 1 wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8 (c) 3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -952?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*v + 15 = 0, 0 = -2*v - 6 + 8. Let b(l) = 3*l**3 - 4*l**2 + 4*l + 8. Is b(d) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99)*1 + sqrt(99)) - -1*-2*sqrt(99))\/(sqrt(576)*-1).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93296 and 4624?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 19*y**3 + 5*y**2 - 14*y + 9. Let k(z) = -9*z**3 - 2*z**2 + 6*z - 4. Calculate -9*k(n) - 4*u(n).\nAnswer: 5*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82605.\nAnswer: 3, 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:48 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 12) to base 15\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 6 - 2*q**2 - 2*q - 7 + 4 in the form k + g*q + t*q**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/45))\/o*o**(-9\/8)*o**(-25)\/(o\/((o*o\/o**(-36)*o)\/o)))**9 assuming o is positive.\nAnswer: o**(3923\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5480\/685)\/(3\/(-6)*20\/115).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.33 or -0.09?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/2 + 84862*k + 509154 = 0 for k.\nAnswer: -169718, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h + 5. Let u be j(3). Solve 4*d = u*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-5)\/(sqrt(72)\/(sqrt(24)\/sqrt(3))) - 1*(-1*(sqrt(77) + 1*sqrt(77)))\/sqrt(7).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64376 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (sqrt(539) + 2*3*sqrt(539) - (sqrt(539)*2 + -1)))**2.\nAnswer: 140*sqrt(11) + 13481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33803 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5 and 3.47472486.\nAnswer: 7.97472486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*y**5\/13 - 4320*y**4\/13 + 18402*y**3\/13 - 22624*y**2\/13 + 8526*y\/13 = 0. What is y?\nAnswer: 0, 7\/8, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/437 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-36) - (-154)\/12. Let r be (-274)\/(-8) - (-5)\/(-20). Let f = r + -21. Is y greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/14 (b) 5 (c) -52\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = -144. Let a be 0\/1 + p\/12. Solve -a*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1*-2 + 4). Let i be 2*(18\/4 + r). Let g(q) = q + 1. What is g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549626000 by 1375.\nAnswer: -399728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeheehhheeehe. What is prob of sequence hhhe?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let n(i) = i**3 - 13*i**2 + 11*i + 15. Let f be n(12). Suppose -u = -3*u - f*z - 13, 4*u - z = -19. Sort 0.5, u, l in decreasing order.\nAnswer: 0.5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 948?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8249*a**3*l**3 - 468167*a**3*l - 2*a**3 + 41*a*l**4 wrt l.\nAnswer: 49494*a**3*l + 492*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5 - 308205*c**4 - 924585*c**3 - 924575*c**2 - 308190*c = 0.\nAnswer: -61638, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 61391259700 to the nearest 1000000.\nAnswer: 61391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27002 times -158\nAnswer: 4266316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3704*y**3 + 3645*y**2 + 4. Let b(s) = 3*s**3 - 2*s**2 - 1. Let u(i) = -4*b(i) - k(i). Find the third derivative of u(r) wrt r.\nAnswer: 22152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*p - 154*p = 687 + 263 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 87\/(-150) - 17\/(42 - 8)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 7 - 2*r + 2 - r**2. Let t be 4\/(-14) - 8\/(-28). Determine w(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 - 896\/5. What is the third smallest value in p, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + 0. Suppose -5*n + a = -551. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 5:34 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 + 4*x**4 + 484*x**3 - 2836*x**2 + 4224*x - 1872 = 0.\nAnswer: -13, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.0786 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucuuuuuuuuu. What is prob of sequence cuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/7 (b) -4 (c) -0.13 (d) -5\/6 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**3 - l**2 + l. Let h = 9 - 4. Suppose 0 = -3*d + 3*j + 21, 0 = -4*d - 5*j + 4*j + 18. Suppose -h*k = -d - 0. Determine f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64265, -130320, -196375?\n\"Answer: -66055*h + 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3 + 9148*j**2 - 10843008*j + 866112192 = 0.\nAnswer: 86, 2244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 15. Let f be p(-11). Suppose z + 2*r - 2251 = -r, -f*z - 3*r + 9013 = 0. Suppose 726 + z = 4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/281 and -37\/9?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**3\/3 - 7*f**2 + f. Suppose 0 = 2*y - 2*n + 12, -3*n + n = 2. Let r be p(y). Solve r*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.038 and 16?\nAnswer: 15.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, b: 4, f: 5}. Give prob of picking 2 f.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1524 - 1557.33. Let d = l + 33. Let q = d + 0.3300028. What is q rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 152.417.\nAnswer: -60.9668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -47959.\nAnswer: 143877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2105 and 1088420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 6*k - 2*k)*((29 - 29 - 10*k)*(-4*k**2 + k**2 + 0*k**2) - k**3 - k**3 + k**3) to l + b*k**3 + w*k**4 + i*k + j*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 - 4*i**4 + 6*i**4)*(9*i + 12*i - 27*i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:10 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 56\/(-9). Let j be 48\/14 - (2952\/126 + -24). Solve -7*q - j = -v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 - 7*o - 1. Let m be p(-1). Are -50\/23 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 - -78?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2022909650 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -791*c**3 - c**2 - 3*c - 2. What is the units digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 13\/432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -30*c + 147. Calculate h(10).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 1, g: 1, x: 1, c: 3}. Give prob of sequence bacc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31536564 + 31531264 = -50*l for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -1. Suppose -v = -2*z + w, -4*v - 2*z + 1 = -15. Solve -v*r + 9 + 3 = 3*g, 0 = -3*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + (-26 - -21) + 29)*(-8)\/(16\/(-75))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1c71 (base 13) to base 16\nAnswer: -10dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -224*n + 5556. Give p(20).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -359*n**3 + 35*n**2 - n. Let v(a) = -2*a**3 - a**2. Let p(x) = 2*v(x) - y(x). Find the third derivative of p(d) wrt d.\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**4 + 750*i**3 + 17479*i**2 - 4413*i + 5. Let p(m) = 4*m**4 + 375*m**3 + 8739*m**2 - 2206*m + 3. Let u(d) = 3*b(d) - 5*p(d). Factor u(z).\nAnswer: z*(z + 47)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoaaaxoxaaaa. What is prob of sequence xox?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1 - y**2 + 644*y + 2*y**2 - 648*y. Suppose -2*d - s = -7, -5*d + 14 + 20 = -3*s. Calculate the smallest common multiple of p(d) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 11949*s - 11950. Give l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10)*10 + 2. What is the smallest common multiple of (-2)\/10 - -182*o\/40 and 94?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - (2 - 0). Let v be (1 + 18\/(-15))*d. Let a = 0.599 + -0.199. What is the nearest to v in 2, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 8*a + 5. Let h be k(-5). Let y be (-52)\/(-14) + h\/(-35). What is the second derivative of -z**2 - z**2 - 2*z + y*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 431556 + 163950. Let m = 81502 + z. Round m to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsyyyoqnoqqqq. What is prob of picking 1 q and 2 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -58192436835.\nAnswer: -58192436833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(30\/18 + -4)*59. Let q = 482 + x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134494983 and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 490*y - 987*y + 1723*y**2 + 496*y in the form v + t*y**2 + i*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/4 - ((3 - 4) + 5). Let o be (2 + 1 + -2)*4. What is the first derivative of 6 - c*y**4 - 2*y**o + 0*y**4 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3111738875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 20083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)\/(s**3\/s))**(-31)*(s**(-2\/3))**43\/(((s**(1\/2)\/s)\/s)\/s*s*(s**1\/s)\/s) assuming s is positive.\nAnswer: s**(2737\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 576\/7 (b) -0.5 (c) 0.03 (d) 3\/13 (e) -4\/3 (f) 0 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w - 20*w, 3*p + w = 9. Solve -2*k + 0*u + 3*u = -1, -p*k - u = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(30) + sqrt(120)*-1)\/sqrt(6) + (2*(sqrt(30) - sqrt(60)\/sqrt(2))\/sqrt(6))**2 + -5).\nAnswer: -30 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1195*n - 11. Let b(c) = -237*c - 2. Determine 55*b(u) - 10*x(u).\nAnswer: -1085*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2427*y**2. Let k(d) = -d + 96. Let p(c) = -c + 72. Let l(b) = 3*k(b) - 4*p(b). What is m(l(n))?\nAnswer: 2427*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(84)*4)\/(sqrt(84)\/(sqrt(7) - sqrt(7)*-3)).\nAnswer: -64*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828 and 7314.\nAnswer: 43884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/4)\/(44\/(-16) - -3). Suppose 3*c - 40 = -s*j + 7*c, -25 = -3*j + 2*c. Solve 0 = j*g - 17 + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127410 - -57?\nAnswer: 127467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5321 times 5.4\nAnswer: 28733.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -107191.5 and -3062.6.\nAnswer: -110254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 5 + 43 + -60?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -111210100?\nAnswer: -111210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/7))\/d)**44\/(d**18)**(-9) assuming d is positive.\nAnswer: d**(1178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 232882, 465762, 698642, 931522, 1164402, 1397282?\n\"Answer: 232880*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74994 is divided by 3167.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2025 - -2028.585. Round n to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 6*l + 40, -9110*l + 9114*l - 36 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -6\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 47202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {o: 6, b: 1, h: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4*21\/(-6))\/((-2)\/(-4)) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134791?\nAnswer: 7, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = f - 9*v + 1, -4*v = -f + 14. Let s(w) = -w - 1. Let j(b) = -19*b + 15. Let n(u) = j(u) + 2*s(u). What is the hundreds digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30916 - -56003. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 299*j**2 + 4*j**3 - 12*j**3 + 10 + 11*j**3.\nAnswer: 3*j**3 - 299*j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.742279659826 less than -0.5?\nAnswer: -10.242279659826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3 - (-2 + 2) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -35. Suppose 4*v - 34 = j. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382 - 221. What are the prime factors of m?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(4 - 5) - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 529 + -84. Suppose -65 = 5*s - 5*t - x, 2*s - 155 = t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 810?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(500)*-1)\/(sqrt(20)\/sqrt(2)*-1) + (-2*((sqrt(16)\/sqrt(4))\/sqrt(2) + sqrt(2) + -1)*2)**2.\nAnswer: -59*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 736, 204, -904, -2780, -5616, -9604?\nAnswer: -14936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 - 3*v**4 + 4*v**4)*(-99 - 257 - 54).\nAnswer: -1640*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 1:22 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1034301?\nAnswer: 1034253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**3*s**2*z**3 - 61*c**3*s**2*z - 2*c**2*s - c*s**2*z**3 - 2*c*s**2*z + 2*s**2*z**3 + 194*s*z**3 wrt c.\nAnswer: -48*s**2*z**3 - 366*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 + 5*c**4\/24 + c**3\/6 + 2*c**2. Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 34, -31, -122, -239, -382?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 351 = -205. List the prime factors of a.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -12*h. Let t be (-14)\/(1 + 3\/(-1)). Suppose -t*l = -h*l. Solve -j + 4*j + 15 = l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (19 - 12) + -13 - -69?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 4)*207\/7866?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.54 in 3, -11, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2\/2 + 3245*h - 269825\/2 = 0. What is h?\nAnswer: 43, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 2*n**3 - 13*n**3 + (-2 - 9*n - 9*n + 4*n)*(-6*n**2 + 7*n**2 + n**2 - 2*n).\nAnswer: -42*n**3 + 24*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*d = 4*n - 191, 5*d + 25 = 0. Let f = n - 22. What is the smallest common multiple of 20 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 9*o - 5. Let u = -1841 + 1832. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -31. Let w be (-86)\/(-1) - (m + 6 + 3). Calculate the greatest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81986.278 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 5*m**4\/24 + 20*m**3 + 39*m**2. What is the remainder when j(-18) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 5400 = -7*k. Suppose 0*b - b - 3*o - 141 = 0, -b - 161 = -2*o. Let p = k + b. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15952900 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let r be 1052\/12 - (1\/3)\/(-1). Let i be (-5 - r\/(-16))\/((-2)\/4). Which is the third smallest value? (a) i (b) g (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1514 - -1509. Put -3\/8, -13\/5, a, -1\/7 in descending order.\nAnswer: -1\/7, -3\/8, -13\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91890511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40905, -81061, -121219, -161379, -201541?\nAnswer: -241705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -22. Calculate the common denominator of (x\/32)\/((-1)\/130) and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*g + 22, 7*g = 8*g - 2*m - 14. Let j(v) be the first derivative of -16 + 1\/2*v**g + 0*v. Let y(q) = -13*q. What is y(j(f))?\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*j + 4*b, -4*j = -j - 8*b - 55. Calculate the highest common divisor of j and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**(-13)\/q*q*q)\/q))\/((q**(-12)*q)\/q)*q**(11\/5)*q\/q**(-26) assuming q is positive.\nAnswer: q**(266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13b5 + 1?\nAnswer: 13b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 + 30 + 61)*(-31 - 7*b**3 + 23*b**3 + 28) + (-3*b - 2*b + 3*b)*(4*b**2 + b**2 - 4*b**2) - b**3 + 2*b**3 - 2*b**3.\nAnswer: 3485*b**3 - 654","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 - 2 + 8 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(16)\/sqrt(2) - (5 + sqrt(8))*6)**2.\nAnswer: 600*sqrt(2) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -1520*o + 1518*o. Determine h, given that -2\/7*h**o - 4\/7*h - 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -54 (c) -0.3 (d) -5 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -53, -80, -107?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**6\/27 - 8*z**5\/45 + 7*z**4\/18 + 68*z**3\/27 - 4*z**2\/3 - 16*z + 89. Suppose l(b) = 0. What is b?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 223 + 241. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10) + -1)\/(-3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7564868.\nAnswer: 2, 31, 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmleem. What is prob of sequence rm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5054 - 2?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 2, 438 in decreasing order.\nAnswer: 438, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let n = h + 18. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.26 (b) 0.3 (c) 0 (d) 114 (e) 61 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 + 181 = 7*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 - 109 = -68*m + 73 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/((570\/25)\/6). Let f be 2 + (2\/(-1) - 27\/(-45)). Sort 0.1, 0, f, k.\nAnswer: k, 0, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 - 26 = 0. Let p be (-6)\/(-15) - (-516)\/v. Let s = -29 + p. What is the highest common divisor of s and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c64b4 - 113?\nAnswer: c63a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-w**3 + 3*w**3 - 4*w**3) + 4*w - 4*w - w**3 + (-2 - w + 2)*(w**2 - 4*w**2 + w**2) - 2*w**3 - w**3 + 5*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y - 36. Let g be q(-4). Let t be (-6)\/g*-3 + 24\/32. Which is the biggest value? (a) -2 (b) 7\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/20 + 38\/10. Let y = p - 2. What is the second derivative of 0*t - y*t**2 - 2*t + 3*t + 0*t wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 1050 = 6*s. Let b = s - 1048\/7. Find r, given that -6\/7*r**3 - 2\/7*r**2 - b*r**5 + 0 + 0*r - 6\/7*r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937449149.\nAnswer: 3, 17, 37989199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*q = -919 + 929, -15 = 3*j + 4*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 6*b. Let a be l(-6). Suppose 3*n = -5*q - 47245, q + 47249 = -3*n - a*q. Let g be ((-20)\/(-3))\/(5\/n). Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n**3 - 6*n - 15 - 7*n**4 + 16 + 3*n**4 + 45*n**3 to b*n**4 + f*n**2 + m*n + k*n**3 + z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - v + 4)*(-2 + 2 - 2)*(6454 - 1459 - 1909)*(-1 + 0 + 0).\nAnswer: -6172*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 16*p**2 + 21*p + 16. Calculate v(-14).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 78 - 117 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.533 and 0.5.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 17 + 1 = 0. Let f = l + 1. Let j be 1 - f*2\/3. Let v(d) = -d + 6. Calculate v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -380, -386, -394, -404, -416, -430?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -3 + -6 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let x(y) = -2*y**2 + 8*y. Calculate g(v) - x(v).\nAnswer: 2*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(0 + (sqrt(1300) - (0 + sqrt(1300))**2)) + -4.\nAnswer: -5201 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-80)*-4 - 56\/70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5700) - (sqrt(5700)*1*-1 - sqrt(5700)) - sqrt(5700))\/((sqrt(189)*-5)\/sqrt(7)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6921*w**3 - 5*w**2 - 5*w - 2. Let o be g(-1). What is the greatest common factor of o and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q + 1. Let c be u(-1). Let i = 4 + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**2 + 1. Let q(c) = c**3 - 19*c**2 + 18*c - 1. Let y be q(18). Determine k(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -950 and 11?\nAnswer: -10450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + 210\/200)\/(-2). Is -5 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 5. Let s be u(6). Let w(z) = -2*z + 10 + z - 4. Give w(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*h + 5*a, -4*h + 28*a - 31*a = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23916, 47820, 71720, 95616, 119508?\n\"Answer: -2*b**2 + 23910*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 3, m: 1, x: 1, h: 1}. What is prob of sequence qp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let d(k) = -1. Let c(q) = -13*q + 5. Suppose -4*n - v = 7, v + 6 = -v. Let o = 7 + -12. Let j(f) = n*c(f) + o*d(f). Determine u(j(g)).\nAnswer: -338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 5. Let u be k(5). Let l be (0 - -2)*(-1)\/u. Let d = -6379.1 - -6379. What is the third biggest value in d, l, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -35 (c) 2 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*t = -t + 45, 2*v - 30 = 2*t. Let z = -11 - -10. Calculate the remainder when v is divided by 0 + (-8)\/z*3\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 24*a**2 - 39*a + 449. Determine p(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/12)\/((-15)\/(-40)). Solve h = 2*v - 4*g - 2, 3*v + 4*g = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47035 - 25827. What are the prime factors of h?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 - 2*m**2)*(15*m - 9*m - 7*m - 2).\nAnswer: m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 426 - 236. Suppose -p = -4*p + 405. Let b = q - p. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2)*2)\/(100\/(-120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 956506 to the power of 1\/2, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1005\/1785 + 4\/42*-9\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21\/53, -2\/21, -0.2 in descending order.\nAnswer: -2\/21, -0.2, -21\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12777659*g**3 + 27397080*g**2 wrt g?\nAnswer: 76665954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -4*i, v + 5*i + 4 = 33. Let d be -1*6*1\/(-2). Solve 0 = -v*f - 5*z + 23, d*f - 6*z + 3 = -3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 + 4*u**4\/3 + 59*u**3\/6 - 27*u**2\/2 - 179*u + 4. Give l(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*k - 32, 4*u - k - 5 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 18. Let o = 2.8974 + 0.1026. Put 0.4, f, o in ascending order.\nAnswer: 0.4, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -1, 4, 5 in decreasing order.\nAnswer: 22, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 932 - -1a?\nAnswer: 94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40995.\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 9*q**4\/5 + 176*q**3 + 1736*q**2\/5 + 1152*q\/5 + 3902. Factor s(u).\nAnswer: 4*(u + 72)*(3*u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and 6\/38327.\nAnswer: 76654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064241 to the power of 1\/2, to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1932\/(-9))\/((282004\/141000)\/(-1) + 2). Round y to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*b - 4*t, -2*t + 11 + 179 = 4*b. Solve -48*i - 18 = -b*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -878049*s**5 - 2105885*s**2?\nAnswer: -52682940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -168, -254, -340?\n\"Answer: -86*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 9537978.1 and 0.1.\nAnswer: 9537978.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 16. Let g be v(-7). Suppose 2 = 2*q - 8, -g*t - 4*q = -1825. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 4*t + 26 - 30, 5*t - 6 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-234))\/((((-248)\/(-480))\/(-31))\/(13\/26)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/9 - 2) + (-6)\/27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 29*w. Let i(a) be the first derivative of 54*a**2 - 467. Calculate g(i(s)).\nAnswer: 3132*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 - 12*k - 48. Let g be n(-3). Let l = 1 + -1. Let d = -9 + 6. Sort g, d, l in descending order.\nAnswer: g, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**2 - 8*t**2 - 6*t**3 + (1 - 5 + 2)*(3*t**3 - 3*t**3 - t**3) - 3*t**3 + 8 + 1 - 4*t**2 - 7 as l*t**2 + q + a*t**3 + w*t and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5405*h + 166. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0*l + l - 2*l + 2*l + l + (3 - 6 + 4)*(0*l - 2*l + 3*l) + 2*l + 1 - 1 - 3*l + 2 - 2 + 2 - 2 - 2*l - 3 + 3 + l + (2 + 5 - 5)*(2*l - 5*l + l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42235, 42237, 42239, 42241, 42243, 42245?\nAnswer: 42247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0443 - 260.0443. Let j = -258 - l. Let w = -1 + 1.4. Sort j, w, 1\/2, 0.\nAnswer: 0, w, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-18)\/(a\/(a\/(a**(1\/4)\/a*a)))**(-15\/8))\/((a\/(a\/a**(3\/5)))**(1\/8))**40 assuming a is positive.\nAnswer: a**(-657\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1886 + 35*b - 1886)*(5 + 0 - 3)*(b + b - 3*b) in the form u*b**2 + h + f*b and give u.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuaurumuvuvuuuuu. Give prob of sequence arv.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6177688 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 44\/(1 + 3). Let h(b) = -b**2 - 15*b + 8. What is the smallest common multiple of 10 and h(g)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82622, -165221, -247814, -330395, -412958?\n\"Answer: f**3 - 3*f**2 - 82597*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176993810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - (1 + 0 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14012441 (base 6) to base 10.\nAnswer: -468457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42\/5 + 9. Suppose -o + 3*o = 4*z - 24, -5*z + 4 = 4*o. Let j be (z\/(-14))\/((-4)\/6). Put -1\/4, l, j in decreasing order.\nAnswer: l, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 + 3)*(b + b - 3*b)*((-20 - 7*b**2 + 20)*(-2*b**2 + 7*b**2 - 3*b**2) + 0 + 0 + b**4).\nAnswer: -130*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-3\/35) assuming o is positive.\nAnswer: o**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*j*w**3 - 1195*j*w**2 + 112121*j*w wrt w?\nAnswer: 120*j*w - 2390*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 14 = -4*g, -3*g - 2*g - 15 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1899 by -5.\nAnswer: 1899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + 2 + sqrt(17) - sqrt(17)) + 1)*4*2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/31)*(c**(-14)*c)\/c)**(2\/13) assuming c is positive.\nAnswer: c**(-818\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let g = -824 - -820. What is the closest to v in -0.5, g, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737749693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228576\/175 - 9159\/7. Find the common denominator of -37\/3 and f.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/5 - 22562*q**2\/5 - 623896*q = 0. Calculate q.\nAnswer: -11141, -140, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31570 divided by 5\nAnswer: -6314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q - 2*q + 0*q)*(5*q - 3*q + 0*q) + q**2 - 3*q + 3*q)*(0*q**2 + 6*q**2 + 2*q**2).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(12) + sqrt(48)\/sqrt(4)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025316 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (2 + -1)\/(-1). Let h(d) = 4*d**2 + 3*d**3 + 2*d - 4*d**z + 0*d + 4. What is the remainder when h(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1013.87\nAnswer: -9124.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, -5, 510?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1349 (b) 0.4 (c) 2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -121 * -13\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-632448)\/(-6080) + 4576\/(-44)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103320 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 12. Let y = j - -4. Let m = -11\/24 - 7\/24. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 + 6*g - 2. Let h(f) = 9*f**2 + 4*f - 1. Give -3*h(z) + 2*r(z).\nAnswer: -9*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 303*1*(-68)\/(11424\/56)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k = -76*k - 28. Let g(z) = z**3 - 5*z**2 + 4*z - 1. Calculate g(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917495 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 1055 = 28*o + 98*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -143. Which is the nearest to 1? (a) 8\/3 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**5*g))**(-38))**(-28) assuming g is positive.\nAnswer: g**5320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003165643 rounded to five decimal places?\nAnswer: 0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/8 + 11\/88)\/(-18). What is the second smallest value in y, 0, 3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 38 + 568 = -4*p, 2*x - 515 = p. Calculate the least common multiple of x and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591597?\nAnswer: 3, 21911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002688 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*o**2 - 2*o + 87 wrt o?\nAnswer: 72*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 320207391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -5f9d8?\nAnswer: -5f9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/5*-4*76\/(-16). Is 124\/7 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/136 or -5.555?\nAnswer: -5.555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -21 (c) 0 (d) 2\/41 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -18. Let v(b) = b**2 + 2*b. Let i be v(-2). Factor 4\/5*k**s + 2\/5*k + 2\/5*k**3 + i.\nAnswer: 2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 502240966 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzwgkklkkg. What is prob of sequence wzg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 3*l + 16 = 0, 5*k - 23 = 3*l. Let u be (k - 7) + (1 - 0). Let m be u + 1 + -30 - 0. Which is greater: -27 or m?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, q: 2, v: 2, p: 2, y: 1}. What is prob of picking 1 v and 2 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)*-2)\/((-2*sqrt(80))\/sqrt(8)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, 2\/9, -2\/11, 16\/205, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9567256 minutes in microseconds?\nAnswer: 57403536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 208*d + 2079. Give m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**3\/3 + 14*m**2 + 22*m + 225. Let r be l(-15). Solve -2*j + 15*j + r = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1618020539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037146666 - 4209.\nAnswer: -4209.037146666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.91 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -49*t**5\/4 - 35*t**4\/3 - 10*t**3\/3 + 9*t. Factor q(d).\nAnswer: -5*d*(7*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2071*p**3 + 4*p**2 + 50*p + 45. Calculate the remainder when j(-1) is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/8)\/(-3)*478\/717.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:58 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*v + 14, 3*l + l - v - 17 = 0. Suppose 5*k = 4*g + 297, 2*g + l = -3. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35614949 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.73241 take away -0.2?\nAnswer: -100.53241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 9*w**2 - 2*w - 11. Let u be i(-3). Which is the biggest value? (a) -12 (b) u (c) 4 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1970, -4483, -8018?\nAnswer: -12575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -2*u. Suppose -2*w = 2*w - 16. Let s(f) = 5*f - w*f + 3*f**3 - 2*f**2 - 1 + f**2. Give s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 35*o + 126. Let a be j(-4). Solve 185*u - a*b + 6 = 187*u, -2*u + b = 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + h - 11, p - 17 = -2*p + h. Suppose 3*n + 14 = p*f, -4*n - 3*f + 28 = 5. Solve -c + 6 = w, -4*w = -n*c + 5*c - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/4)\/(26\/24 + -1). Suppose 138 = u - d. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**4*(o\/o**(2\/7))\/o)\/(o**1\/o*o)**39 assuming o is positive.\nAnswer: o**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12*(-496)\/(-62))\/(2\/(-72)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*i - 38*i**3 - i - 114*i wrt i.\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5, 2*n + 3*n + 2*i - 118 = 0. Calculate the lowest common multiple of 9 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39429 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let d be (-1 - -51)\/2 - w. Let u be (4 + -116)*(0 + -1). Calculate the greatest common factor of u and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 68 = -5*l - 1, -l - 18 = 2*k. Let y be (-3)\/l*-2*-10. Suppose 3*m + y = -2*m. Let f(h) = h + 1. Let u(d) = 4*d + 4. Calculate m*u(g) + 5*f(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/8 + 10*f**3\/3 + 69*f**2\/4 - 45*f + 764. Solve l(i) = 0 for i.\nAnswer: -15, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from yyawyqayydyzzyyydyq.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 e when four letters picked without replacement from ejjmjmjjemeeetj.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -81, -155, -257, -393, -569, -791, -1065?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrrrrcrcrrrrrr. Give prob of picking 1 r and 1 c.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-58 + -27)) + (15 - (-44)\/11)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1\/4 (c) -7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8183191 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 20, 38, 58?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*a - 6 = 5*w, 3*a + w - 10 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/3702160 and 81\/2380?\nAnswer: 62936720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 7476*n**2 - 257517*n - 1149876.\nAnswer: -3*(n - 2457)*(n - 39)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 1\/4, 0, 2.47?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*k**3 - 479*k**3 - 378*k**3)*(k - k - k)*(1 - 1 - k).\nAnswer: -1011*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/41970 and 43\/121270916.\nAnswer: 1819063740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l - 1. Let q(x) = -5*x**2 + 3*x - 4. Give -q(u) - 2*s(u).\nAnswer: 3*u**2 + u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 13 = -3*j, 4*p = 116*j - 114*j - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, -3, -1, 5 in increasing order.\nAnswer: -3, -1, 5, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 - 96*i**3 - 108*i**2 + 496*i - 294 = 0.\nAnswer: -3, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5878*v = -5866*v - 132 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1144)\/22*2\/13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004644 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -9*j**4\/2 - 871*j**3\/2 - 11495*j**2 - 45034*j + 10580 = 0.\nAnswer: -46, -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 86723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 5. Let l be (-8 + (r - -4))\/11. Sort 2, 0, l.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-21))\/(2\/6). Let r = 0.1 - 0.1. Let d = 675 + -678. Which is the nearest to l? (a) d (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/((-2)\/(-5) - 10\/(-100)). Calculate the highest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 10*i - 49 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264.003 + 264. What is v rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19*y**3 - 3*y - 3. Let i(u) be the second derivative of 242*u**5\/5 - 77*u**3\/3 - 77*u**2 + 1367*u. Determine -154*f(p) + 3*i(p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -7*w**3\/6 - 3*w**2 + 3*w. Let x(k) = -5*k + 9. Let j(h) = 2*h - 4. Let p(u) = 7*j(u) + 3*x(u). Calculate -6*p(q) + y(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13743 and 18144?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**5\/40 + k**4\/3 + k**3 - 5. Let i(v) be the third derivative of g(v). Is 7 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(992\/(-465))*11\/(22\/6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*t - 577*t + 302*t = -3600 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 16 + (-25 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 153 + 191 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 48 = -0*r. Suppose -4*d = -0*w - 2*w - r, -2*d = -5*w - 40. Let a = -3 - w. Solve a*h + 3 = -17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + 2*d)*(2 + 2 - 3) - 14377 - 1103*d + 14377.\nAnswer: -1104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 3, r: 1, a: 3, n: 1}. What is prob of picking 3 a and 1 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:56 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/60 + 2 + (-14)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4730*u + 2403*u + u**2 + 2324*u.\nAnswer: u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 4)*(2 - 2 + 2*q**2).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68780, 137558, 206336?\n\"Answer: 68778*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18656 divided by 53\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 1364 (b) 5 (c) 4 (d) -3 (e) -2 (f) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15253 divided by -3612.\nAnswer: -2179\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 44, 61, 84?\n\"Answer: 3*v**2 + 2*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*1*(sqrt(475)*2 + sqrt(475)) + 2)**2 + -4.\nAnswer: -1800*sqrt(19) + 3847500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 775863.5 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**3 - n**2 + 4*n**2 - 1 + 0*n**2)*(9565*n - 17808*n + 9469*n) as v + f*n + j*n**4 + k*n**2 + s*n**3 and give j.\nAnswer: 3678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -22 (b) 5 (c) -791 (d) -31 (e) -0.3 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 375.\nAnswer: -562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18171 - -18482. What is the remainder when f is divided by 239?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (((-441)\/(-70))\/((-18)\/(-30)))\/((-1)\/(-4)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(147) + -5)**2 + ((1 + 0 + sqrt(147))*4)**2 + -2)*-3.\nAnswer: -7599 - 462*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(2 + (sqrt(931) + 1)*6 - -2*-2*sqrt(931)*-2))**2.\nAnswer: -4928580 - 42336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 3*k - 1. Give y(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07 and 2571203828?\nAnswer: 2571203828.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-12)\/(3 - 5). Suppose h + t*h = -100. Let r be 5\/(-10) - 18\/h. Which is the smallest value? (a) 0.1 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36267422, 36267508, 36267596, 36267686, 36267778?\n\"Answer: y**2 + 83*y + 36267338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124758\/2555 + 1686\/35. What is the common denominator of -14\/9 and b?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1573, -6257, -14071, -25015, -39089?\n\"Answer: -1565*l**2 + 11*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9663.887ng?\nAnswer: 0.009663887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 4*f + 9, 3*o + 7 = -5*f. Let j be (3 - -1 - 2)*-1. Let w be (j + 5\/(-3))*-3. Solve 2*v - p + 2 = 0, -4*v - o = 2*p + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*b*x**2 - 20*b*x - 23*b + 851497*x**2 - 386*x - 1 wrt x?\nAnswer: 134*b + 1702994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 + 2*i + 3. Suppose -3*u = -7*u + 36. Let w(n) = -13*n + 26*n - 12*n + u. Let j be w(-6). What is m(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*s**3 - 2\/5*s**4 + 0 + 0*s - 2\/5*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70485 divided by 1\nAnswer: 70485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8034 and -28\/13?\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.26669401 and 0.25.\nAnswer: 3.51669401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/95*10\/4. Solve 1\/4*s**b + s**5 - 2*s**3 - 1\/2*s**2 + 1\/4 + s = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -225, -231, -247, -279, -333?\n\"Answer: -j**3 + j**2 - 2*j - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 3*x**2)*(-63 + 42 + 263 + 98).\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.3, -145215470?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 96*w - 342. Give l(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69095992544 plus 4?\nAnswer: 2.30904007456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11023383 and 66495891?\nAnswer: 2061372621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {v: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 1. Let i be x(-1). Let k be (i\/(-9))\/(32\/(-60)). What is the nearest to 0 in k, 5, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c8 (base 14) in base 2?\nAnswer: 10010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4*(-63)\/4. Let x(m) = m**2 - 274*m - 7116. Let p be x(-24). Calculate the greatest common divisor of g and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7880 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164315476 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343941903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 4*o)*(-12*o + 23*o + 20*o)*(-3 + 3*o + 3 + 4*o - 6*o + 3*o + (o - 2 + 2)*(-2 + 6 - 3) + 0 + 0 + 2*o).\nAnswer: 434*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/101 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.342491055926 + -2323550.342821055926. Let x = 2323565 + n. Let s = 15 - x. Round s to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*f + 6*z - 9, 3*f - 12 = z. Suppose 2*n = -2*n - 5*b, 0 = 4*n + 3*b - 8. Suppose 0 = -v - f*w + 508, n*v - 1394 = -w + 1104. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1835522, 3671048, 5506572, 7342094, 9177614, 11013132?\nAnswer: 12848648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*1 + -2. Let i be 0\/((3 - -1) + -5). Let m be (i\/(1 + s))\/1. Solve m = -5*w - 2 + 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 298 = 430 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-2))\/(4\/(-8)). Put 1, z, 7 in descending order.\nAnswer: 7, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 + 11022*f**2 + 11025*f = 0?\nAnswer: -1, 0, 3675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -410.894 and 0.0576.\nAnswer: -23.6674944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3 + 2586474*b**2 - 836234848782*b + 2508681268134 = 0.\nAnswer: 3, 646617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 4*i - 2*i**3 - 6 + 3 to the form k*i**3 + d + s*i + n*i**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 71*d**2 - 475*d + 201. What is the units digit of s(60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 47*l + 6. Let s(b) = 3526*b + 451. Determine -451*f(i) + 6*s(i).\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cit when three letters picked without replacement from {s: 1, i: 3, t: 1, c: 1, m: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/(-4)*-18*(-14)\/(-63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 q, and 2 e when four letters picked without replacement from {k: 8, e: 6, q: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 77. What is m(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -54. Suppose p*a - 96 = 28*a. Solve -6*l = -0*l + a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2008 by 4.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (-88)\/7)\/((-6)\/63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/235651706 and -61\/346292.\nAnswer: 471303412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.6 + 11. Which is the closest to -1\/4? (a) 0.3 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let n(g) be the first derivative of 3*g**3 - 15. What is t(n(v))?\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.90141886 and 1.1?\nAnswer: 6.80141886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116628 divided by -16?\nAnswer: -29157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1. Let z(i) = -i - 1. Let y(x) = x**2 - 5*x + 13. Let a(t) = f*y(t) - 4*z(t). What is the remainder when a(6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 570*j**2 + 3*j - 570.\nAnswer: -3*(j - 190)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 207*w. Let v(h) = -2*h + 4. Determine p(v(c)).\nAnswer: 4*c**2 - 430*c + 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1851\/(71 - 688) - (-32)\/((-4)\/6 - 0)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -12\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1951672 by 424.\nAnswer: 4603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + (-10 - -11) - 17) + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 plus -2.08?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1300 by 650.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251853139?\nAnswer: 3251853139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -105976599728.8 and -0.2.\nAnswer: -105976599729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d + 100. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 408719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {h: 11, l: 1, n: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t**3\/5 + 33712*t**2 + 999318*t\/5 - 77868\/5 = 0.\nAnswer: -6, 1\/13, 6489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -34, 472, 1326, 2528, 4078, 5976?\nAnswer: 8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 8647 - 11353 - 5188 - 7315 - 11751.\nAnswer: -c - 44254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 530*n**2\/11 + 2144*n\/11 - 2152\/11.\nAnswer: -2*(n - 2)**2*(n + 269)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-110)\/20. Factor -20*n**2 - 2*n**3 + y*n**3 + 29*n - 29*n.\nAnswer: 4*n**2*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 36 + 14 + i. Let c be q(8). Is -86*c\/(-4)*(-52)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -20284?\nAnswer: -20281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*p - 19 = -2*p, 4*v - 2*p + 4 = 0. Let o = -1 + v. Let r = o + 5. Solve -i - 3*i - 14 = r*l, 4*l + 5 = 3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786.9876 at least -215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 1. Let z(n) = -8*n**2 + 4*n - 2. Let s(m) = 3*k(m) + z(m). Let c be s(-1). Let t = c - -12. Solve -o - t = -l - 5, 2*o + l + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/5))**(-3\/14)\/(v*v**(1\/3))**34)**(-22))**16 assuming v is positive.\nAnswer: v**(1678688\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 20*k**2 - k + 9. What is d(20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 57138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 383?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -55*t**2 - t. Let q be b(1). Let c = q - -78. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217 - -1675?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 3923808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24800*-0.5.\nAnswer: -12400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12519 and 71019.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) 4 (c) 3 (d) -61 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -4690732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59824814253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.48 times -14?\nAnswer: 566.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikikki. Give prob of sequence kikk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1, 1837, 23240 in descending order.\nAnswer: 23240, 1837, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let u(m) be the third derivative of 0 + 0*m**4 + 1\/30*m**5 + 0*m**3 + 0*m + 12*m**2. What is p(u(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 9*n + 1. Give k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -103, -268, -551, -982, -1591, -2408, -3463?\nAnswer: -4786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 27683 - 99767. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*s - 25 - 41, -6 = 3*g. Let o = 37 - s. Solve o = 4*m + 2 + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9107, -8044, -6969, -5888, -4807?\nAnswer: -3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*sqrt(8) + (1 + sqrt(72) - sqrt(72)))**2.\nAnswer: 24*sqrt(2) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16427.\nAnswer: 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1057*t**3*v**2 + 86*t**3*v - 97820*t**2*v**2 + 1322*t**2*v + 3*t*v + 10*t wrt v.\nAnswer: 2114*t**3 - 195640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q. Let r(d) = -7*d - 398641. Give g(r(l)).\nAnswer: -56*l - 3189128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265519 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-147))\/(165\/(-79695)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u - 2*u + 1153*u**4 - 726 + 0*u**3 + 1726 - 2*u**3 wrt u?\nAnswer: 4612*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28218 and 21?\nAnswer: 197526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (-2*sqrt(252))**2)*6 + sqrt(252) + 5 + 2 + sqrt(252).\nAnswer: -6041 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p*s**2*v - 8*p*s**2 - 164*p*s*v + p*s - 2*p*v + 2*p + 2762*s**2*v + 2*s*v - 3*s wrt s?\nAnswer: -10*p*v - 16*p + 5524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 83489549?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1992, 1997, 2002?\n\"Answer: 5*x + 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -660, -1221, -2006?\nAnswer: -3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172579766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -39550309\nAnswer: -3\/39550309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1014 or -1011?\nAnswer: -1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108941 in -3, 32\/5, -2?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:42 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 - 4*v**2 + 4*v**2)*(-705 - 553 - 1071 - 64) + (v**3 - 2*v**4 - v**3)*(4*v - 2*v + 0*v).\nAnswer: -4790*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, -5 in ascending order.\nAnswer: -5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -136, 15, -10 in decreasing order.\nAnswer: 17, 15, -5, -10, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -7520230.\nAnswer: 15040460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 5*h - 10593 = 0. Suppose h = 4*t - 4*p - 719, -t + 459 = -4*p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -25, 0.3, -5, -13, 3 in increasing order.\nAnswer: -25, -13, -5, 0.3, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/72)\/(6\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 12*m + 21. Suppose 4*z = -4*c + 79 - 47, 5*z = 2*c + 82. Give l(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16.8101 times -0.9\nAnswer: 15.12909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 3. Let o = -163 - -162. Let b(q) = 2. Let i(w) = o*b(w) - v(w). What is i(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -2*w - h - 17, h = -3*w + 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159330.\nAnswer: 2, 3, 5, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 79 - 85. Solve -3 = -p*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 25208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114847 is divided by 965.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzeez. What is prob of sequence zze?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2790249 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*i + 481*i + 84 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a. Let c(o) = -341*o. Let y(z) = -4*c(z) - 198*g(z). Let f(n) = -13*n**2. Give y(f(j)).\nAnswer: 286*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w - 4. Let y be j(3). Let c(f) = f + f**2 + 1 + 2*f**2 - 2*f**2 - 14*f**3. Is 15 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 5*y**2 + 7*y - 4. List the prime factors of f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*x + 319*x - 2 + 6*x**3 - 161*x as u*x + t + o*x**3 + l*x**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 1, j: 2, e: 2, a: 1, w: 1}. Give prob of sequence jmwa.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745632?\nAnswer: 2, 148301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12104045 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 1226*s**3 - 1104*s**3 - 729*s**3 + 39.\nAnswer: -3059*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.271, 0.6 in descending order.\nAnswer: 0.6, -0.271, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.585 + -3.1. Let c = 0.5 - k. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 313363528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 9*f + 20. Let j be v(11). Let h be 4\/(-6)*(-9)\/j + 8. Let q(l) = l**2 - 6*l. Calculate q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + (-343 + 333)\/(2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-16))\/(99\/(-308)))\/((-147)\/21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 810234469 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 45) + -13 + 41\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4560634892 and 428.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 568 = -5*h, -2*p = 3*p + 5*h - 2760. Suppose -4*q - p = -1524. Let a = q - 135. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + y + 4. Let b(p) be the first derivative of 8*p**3 - 9*p**2\/2 - 33*p - 164. What is -4*b(o) - 33*h(o)?\nAnswer: 3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 264*f - 68. Let u be d(76). Round u to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4781*y - 8332 = 5042*y + 20 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395698 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/(-85))\/((-6)\/(-100)). Suppose -43*y + 3 = -x*y. Let c(t) = 21*t**3 - 2*t**2 + t. Give c(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19168 + -1805893?\nAnswer: -1786725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 159. Solve y - 3 + 5 = v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 711*b + 140384. What is z(161)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -4752883595?\nAnswer: 4752883595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 8*k**3 + 30*k**2 - 36*k.\nAnswer: -2*k*(k - 6)*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -178*f + 6. Let v be i(-1). Suppose -a - v = -2*w, -19*w + 14*w - a + 474 = 0. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d**3 - d + 1. Let l be a(1). Let m(b) = -b**3 - 4*b**2 + 5. Let n be m(-4). Solve l = -n*z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m**(-2\/13)\/m)\/m*m*m**(-5\/7)\/m*(m\/(m*m**(-1\/4)*m))\/m**(-4\/7) assuming m is positive.\nAnswer: m**(-745\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-7)\/(-42)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/5, -29\/2, -0.5, -1\/630?\nAnswer: -1\/630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363138?\nAnswer: 2, 3, 186841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/53802 and -62\/4948503?\nAnswer: 207837126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6637*k - 19. Let l(z) = 3320*z - 11. Calculate -4*j(n) + 7*l(n).\nAnswer: -3308*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1015*x**6 - 774*x**2 + 2.\nAnswer: 121800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 312247843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(52) + 5*2*sqrt(52))\/(sqrt(4) - (sqrt(400) + sqrt(400) + (sqrt(400) - (sqrt(400) + -2*sqrt(400) - sqrt(400))) - sqrt(400))).\nAnswer: -22*sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 26*w = 196. Solve -8*x - w = 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109851348 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:34 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:50 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*n + 3 = 0, -10*n + 5 = -2*o - 15*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 27*s + 45. Let x be (-2 - -3)*0 + -2. Which is the nearest to 0? (a) x (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -965 - -2014. List the prime factors of v.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4\/5 (b) -0.3 (c) 0.2 (d) 0.4 (e) -0.2 (f) -6182\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, -0.1, -2\/9 in descending order.\nAnswer: -0.1, -2\/9, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 > -8438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 9*r + 12. Let t be h(-8). Suppose t*p = 8*p + 3*w - 20, -4*w = -16. Solve 2 = -p*c - 0*c, 4*c + 4 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5249470 divided by -1049894\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/523496 and 83\/152.\nAnswer: 9946424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 14 + 21. Find the third derivative of -5*t**4 - 12 + 12 - i*t**2 wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + p**5\/20 - p**4\/6 - p**3\/2 + 46*p**2. Give f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 20, 4*r - 3624 = -i + 22081. Let u = i + -10688. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 82.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 163, -4 in decreasing order.\nAnswer: 163, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -386 + -108601295741\nAnswer: -108601296127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/30)\/((880\/(-22))\/800)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3373 + -16861\/5. Let u(k) = -k**3 - k**2 + 5*k + 2. Let m be u(-3). What is the smallest value in -3, m, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -12, 2, -5, -1\/32 in decreasing order.\nAnswer: 2, -1\/32, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/23 (b) -32 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899 plus -146599?\nAnswer: -143700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7662628*i - 2042391 wrt i?\nAnswer: 7662628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 153724222.\nAnswer: -1\/153724222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m = -16*m + 11*m + 2380 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h - 49. Let v(s) = 15*s + 51. Give 4*u(t) + 3*v(t).\nAnswer: -7*t - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c - 2 = -f, -13 = 2*c + 5*f. Suppose -11 = -q + c. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 7. Let o = f + 7. Suppose -3*q + 62 = q + 2*k, o = -q - 4*k - 2. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/3*-2*1\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 15772694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1)**2 - sqrt(117))*-6*4 - (2 + 0 + sqrt(117) - (4 + sqrt(117)*2)**2).\nAnswer: -2350 + 261*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t**3 + 67*t**3 - 32*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -6. Let q = k + -2. Solve 4*p + 12 = -3*c, -20 = -0*p + p + q*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1715697378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152, -1159, -1166, -1173, -1180, -1187?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.25 and -3.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzoomfopjfz. What is prob of picking 3 o and 1 f?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2242319*c**2*o - 144*c**2 - 1717*c + 25*o - 20 wrt o.\nAnswer: 2242319*c**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1611 and 777039.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 + 3918518*o**2*z - o - 33902113*z wrt o.\nAnswer: -12*o + 7837036*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(4*z**2 - 3*z**2 - 3*z**2) - 2*z**2 + 2*z**2 + z**2 + 0*z**2 - z**2 + 0*z**2 - 4*z + z**2 + 4*z + (0 - z + 0)*(-46*z + 66*z - 45*z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 - -11662 - 2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + y + 6*y - y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17920.5588 nanoseconds to days.\nAnswer: 0.000000000207413875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1537.003715 + 1537. Round l to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.85768 + -1.8387. What is the closest to 1\/4 in 2\/3, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3500570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 + 157967*f**3\/3 - 710945*f**2 + 6635797*f\/3 + 3870853\/3 = 0. Calculate f.\nAnswer: -78997, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2127456 divided by -1494.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**3 + 20*r**3 - 47*r**3 + 46*r**3 - 152*r**3.\nAnswer: -102*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 41 + 80)*(2 + 7 - 24)*(0*z**4 + 3*z**4 + 2*z**4).\nAnswer: -2250*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30877, 30771, 30665, 30559, 30453?\n\"Answer: -106*m + 30983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 - 17)*(-4*y + 6*y + 40*y).\nAnswer: -1470*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115753633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(-1612)\/156*18?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2395598 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/((u*u**(-4\/5)*u)\/u))\/u))**(-10) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -50, -51, -44, -29, -6?\n\"Answer: 4*n**2 - 21*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17690905 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 + z + 2. Let n be t(2). Suppose l - 3*h - 13 = n, 3*h + 26 = 5*l + h. Which is the closest to 1? (a) 6 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 52*w**2 - 4*w + 265. Is t(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60091, 60076, 60051, 60016, 59971, 59916?\nAnswer: 59851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -0.12, 2\/9?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 2*r - 8. Let b be j(-4). Let f = 30 + b. What is the closest to f in 0.2, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2. Let y(q) be the second derivative of -2*q**4\/3 + 3*q. Give y(i(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22191, 1, -2 in increasing order.\nAnswer: -22191, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 552*u**2 + 2*u + 481*u**2 - 6545*u**3 - 1 + 105*u**2 + 87*u**2 - 295*u**2 wrt u.\nAnswer: -39270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 279, 288, 299?\n\"Answer: w**2 + 4*w + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - 6. Let b = n - -18. Let f = b + 17.9972. What is f rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131037 is divided by 43624?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21603 - -312341?\nAnswer: 334244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -2, -7, -12, -17?\n\"Answer: -5*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11201222 (base 3) to base 5\nAnswer: 102310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let m(b) = 5*b**2 - 1. Let v be m(-1). Let u(k) = 5*k**2 - v*k**2 - 3*k**2 - k**2. What is z(u(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 237 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.1. Which is the third biggest value? (a) j (b) -1\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = y + 19. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggttgogtggotgogtgtt. What is prob of sequence ogog?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -2\/5, -1\/4, -23.7 in decreasing order.\nAnswer: 1.4, -1\/4, -2\/5, -23.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:53 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(91\/(-182))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 1367, 3199, 5667, 8675, 12127, 15927, 19979?\nAnswer: 24187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 31. Let o(j) = -2*j**2 + 14*j - 14. Let w(x) = -x**2 + 8*x - 8. Let v(b) = 4*o(b) - 7*w(b). What is v(i(h))?\nAnswer: -4*h**2 + 124*h - 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by -234.\nAnswer: 85\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -99, 2, -462, 0.3, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.9904 - -14. Let h = -0.01 + r. What is h rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -8, -5, 4\/9, 20, -3, 0.13 in descending order.\nAnswer: 135, 20, 4\/9, 0.13, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2 + 14*y. Let z(i) be the third derivative of -i**5\/30 - 2*i**2 - 31*i. Give l(z(p)).\nAnswer: -36*p**4 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**3 - 5*u**3 - 12*u**3)*(-10 + 15 + 2)*(-2 - 2 + 1) to k*u**3 + x + h*u + t*u**2 and give k.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, -720488 in decreasing order.\nAnswer: 2, 2\/3, -720488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o)\/(o*o\/(o*o**(1\/6))))**24 assuming o is positive.\nAnswer: o**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (486\/(-24))\/(-9)*((-9 - -19) + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2 - 316\/(-156)). Let w = n - 20. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2 - 3\/(-2)). Let x(z) = -2*z - 14*z**2 + 3*z**3 + 3 - 2 + 10*z**2 - 2*z**3. Let s be x(q). Is s at least -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**2 - 32*c - 4. Let u(y) = 3*y**2 + 8*y + 1. Let o(f) = 2*h(f) + 9*u(f). Let r be o(-8). Let d(s) = 10*s**2 - 1. Determine d(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5985 + -357?\nAnswer: -6120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32523277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/c)**(-1) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.8052 + -0.0052. Let q = -26.9 - 8.1. Let t = b + q. Round t to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:08 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.6 + -37.6. What is the closest to o in 2.5, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1883, 1838, 1765, 1664, 1535?\n\"Answer: -14*t**2 - 3*t + 1900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4994406, -9988802, -14983198, -19977594, -24971990, -29966386?\n\"Answer: -4994396*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 139, 200, 241, 256?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 14) to base 9\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18706947 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*l = 21, l + 23 = 4*p - 46. What is the remainder when 48 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1040\/(-208))\/(1 + (-6)\/17). Which is smaller: z or -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l)*(-2 + 4 + 3) + (-l + 2 - 2)*(-1 - 2 + 5).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304980 = 64*i - 18*i. Is 51 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -2 (c) 2 (d) -0.4445 (e) 5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 305065.3 years?\nAnswer: 305.0653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*g**3*k - 284*a*g**3 - 2*a*g**2 + 163*a*g*k + a*k - 9*g**3 with respect to k.\nAnswer: a*g**3 + 163*a*g + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.06 + 14.46. Which is the second smallest value? (a) 0.5 (b) z (c) -4\/9 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -2. Let z = -0.1 + d. Let l = -1.00024 - z. Round l to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16451321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 12*l + 4. Let u(q) = 5*q**2. Determine d(u(s)).\nAnswer: -125*s**4 - 60*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/42*6\/(-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 + 95 + 5*f + (11 + 46 - 26)*(0*f - 5*f + 3*f) to the form y + w*f and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o. Let w(q) = 26*q + 27*q + 68*q - 51*q. Determine g(w(n)).\nAnswer: -770*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51364390 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 268235039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 8*c + 8. Let f be l(7). Let i = 14 - f. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274589, -2549182, -3823775?\nAnswer: -5098368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5206 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**5\/12 - y**4 + 27*y**2\/2 + 3*y. Let j(z) be the first derivative of l(z). What is the second derivative of j(r) wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1595, 1586, 1577, 1568?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*z**5 + 167*z**4 + 658*z**3 - 668*z**2 + 8*z = 0. What is z?\nAnswer: -2, 0, 2\/165, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4191, -4181, -4159, -4119, -4055, -3961, -3831?\nAnswer: -3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from vuhuvhhhuvuhhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10200012 (base 3) to base 7\nAnswer: 10544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w + 151. Give a(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 5*h**3 + 6*h**2 - 32*h - 32.\nAnswer: -(h - 4)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6612878572019.72 and 0.3.\nAnswer: -6612878572019.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26898100 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -27*p + 12. Let r(z) = 57*z - 23. What is -5*l(c) - 3*r(c)?\nAnswer: -36*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2 and -143\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2172640 + 49982379\/23. Let m = 507 - w. Are m and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -3, 0, -4\/11, -34 in ascending order.\nAnswer: -34, -3, -4\/11, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - o)*(120*o - 2*o**4 + 110*o**2 - 110*o**2).\nAnswer: -2*o**5 + 120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4809 + -4808. Put -3, -70, o, 0, -2 in decreasing order.\nAnswer: o, 0, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1691 + -1687. Which is the third biggest value? (a) -0.009 (b) -2\/3 (c) r (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153433898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -6*(-8)\/24. Suppose 345 = m*q - 3*s - 176, -4*q + 4*s + 1044 = 0. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796270691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*u*y**6 + 322*u*y**5 - 21104*u*y**2 wrt y.\nAnswer: 1200*u*y**3 + 19320*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -29386?\nAnswer: 13\/14693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 3 + 0*o**2 + 3*o**2. Let u(j) = j + 8. Let l be u(-8). Let y be r(l). Sort 5, -1, y in decreasing order.\nAnswer: 5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 171*k + 4. Is s(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from {h: 1, i: 7, v: 5, q: 5}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 + -210110?\nAnswer: -201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(156)*5)\/((sqrt(1452)*-2 - sqrt(12)) + sqrt(12) - sqrt(72)\/(-1*sqrt(6))))**2.\nAnswer: 5200\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, 1, -4, 5, 4 in descending order.\nAnswer: 220, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 2*t - 1 + 2 + t. Let o(q) = 3*q**2 + 9*q - 2. Let l(g) = -o(g) - 2*r(g). What is the second derivative of l(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-2 - 1) + 19)) + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.4 (b) 3\/2 (c) 20.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.9. Let p = a + -0.4. Let q be 1 + 0 - 15\/13. What is the biggest value in q, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931796 at most 931803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 412 - 2880\/7. Which is the closest to 1? (a) 0.09 (b) u (c) 1\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 593*t**3 - t**2 + 2574*t**3.\nAnswer: 1981*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435792453.\nAnswer: 3, 145264151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20331 divided by -6\nAnswer: 6777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48128.53 millilitres in litres?\nAnswer: 48.12853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p + 28. Let m(u) = 105*u**2. Determine y(m(s)).\nAnswer: 1365*s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43405255 divided by 51005?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 2*n - 7*n + (-6*n + 2*n - 5*n)*(-4 + 2 + 0) + 3*n + 1 - 3 - 2*n.\nAnswer: 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 2423?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - (-16 + 9)) + 15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 103. Let u(c) = 19*c - 4. Let z(g) = -33*g + 7. Let m(l) = -7*u(l) - 4*z(l). Give f(m(d)).\nAnswer: -d**2 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -8. What is the highest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 3*r + 4*r + 10*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 8. Find the first derivative of -12*n**d + 0*n**4 - 5 + 3 + 7 wrt n.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + v**2 + 5*v**2 - 29*v.\nAnswer: 4*v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-30)*4\/14. Let x = -0.6 + 0.1. Let a = 4 + -3.5. What is the nearest to 1\/3 in b, x, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 15. Let y be t(7). Let o be y\/5*(13 + -38). Round o to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*t + t + m, 4*t + 3*m + 1 = 0. Suppose -t*z + 12 = z. Suppose 5410 = l - 3*l + 2*v, z*l - 5*v + 10825 = 0. Round l to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2553 bigger than -2553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16))\/((-2)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344062819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10635 - -2.2202\nAnswer: 10637.2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from mooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34564000 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)*(-1)\/(-1). Suppose -47 = -2*u - 0*u + 5*k, 3*u = -5*k + 8. Let c = u + -7. Sort c, 3, r.\nAnswer: r, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -5. What is the closest to m in -0.5, -2\/5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -66, -124, -206, -318, -466?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(2772\/81))\/(12\/22)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2.48, 2?\nAnswer: 2.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 328 = 616 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (-378)\/24)*-24. Does 449 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57.58011 + -0.02011. What is g rounded to zero dps?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g**2 + 0*g**2 + 2*g**2. Let t(s) = -4*s + 9. Let x(d) be the first derivative of d**2\/2 - 2*d + 3. Let k(w) = 2*t(w) + 9*x(w). Determine k(b(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -607e?\nAnswer: -6083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16761 or 7861?\nAnswer: 7861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -1\/6*g**3 + 10 - 3*g**2 - 4*g. Give s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*((-18547)\/34 - (-3)\/(-2))?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 1. Let g(v) = v**2 + v + 6. Suppose 328 - 316 = -12*q. Suppose -18 = 2*u - 5*i, -2*u + 2*i + 7 = 19. Let n(l) = q*g(l) + u*m(l). Give n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(77) - (sqrt(77) - 3*2*sqrt(77))))\/(sqrt(121)\/((sqrt(66) + 2*sqrt(66) - sqrt(66))\/sqrt(6)))*-5.\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3421*h**3 + 9*h**2 + 9*h + 3. Let x(z) = -1949969*z**3 + 5127*z**2 + 5127*z + 1709. What is -1709*v(b) + 3*x(b)?\nAnswer: -3418*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8837523?\nAnswer: 3, 981947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 85538292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21731 by -3.\nAnswer: 21731\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 10*v - 1. Is 23 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znwpp. What is prob of picking 1 p, 1 w, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 7*h**2 + 7*h + 7. Let z = 22112 + -22115. Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -0.03587270214646.\nAnswer: 0.06412729785354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7150358?\nAnswer: 2, 1733, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v + 4 - 4 - 14*v - 21*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*n + 97*n - 30. Suppose 4*v = -3*h + 1 + 1, -2*v - n = -4*h. Let j be -1 + (v - -5) + 2. Solve -5*k = -2*y - 2 - 1, j*k + 9 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**8*r)\/(r\/(r**(-2\/5)\/r)))\/(r**2\/(r*r*r**(2\/15))) assuming r is positive.\nAnswer: r**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - i - 14 + 1 + 11.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 + l. Let c be u(1). What is the third derivative of k**2 - 3*k**2 + c*k**6 + k**6 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 443\/3987*(-30)\/2*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 7 = 2*q, 2*j = 1333*q - 1335*q + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6137*u**3 + 18*u**2 - 18*u - 14. Let g be n(11). Let s = g - 13970313. What is s rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 + -4)*(-3 - -4). Let k(m) be the third derivative of n*m**3 + 1\/84*m**4 + 1\/735*m**7 - 1\/210*m**5 + 0 - 2*m**2 + 0*m - 1\/420*m**6. Factor k(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f + 29*f + 24*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 49*j**5\/60 - 57*j**3\/2 + 5*j**2 + 20. Differentiate n(y) wrt y.\nAnswer: 98*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 119 + 203 = -4*r, -3*r = -4*d - 600. Is d at least as big as -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 60 = -0*l. Suppose 0 = -3*y - 3 + l. Suppose -92 = -4*n + 3*u, -3*n - y*u = -0*n - 48. Calculate the remainder when 39 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121786 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276374*m**3 + 6*m - 2125?\nAnswer: -1658244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 66.9. Let a = -2.6 - h. Let m = a - -5.500093. Round m to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -13, -8, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.008710379.\nAnswer: -0.191289621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25349 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:52 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 v when three letters picked without replacement from {h: 1, v: 2, o: 2, x: 6, u: 3, g: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-20))\/(2*28\/(-64)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + 333123?\nAnswer: 333014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125038733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.18603966 + -0.113?\nAnswer: 5.07303966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56465 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12462, -12185, -11908, -11631?\n\"Answer: 277*u - 12739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52422259?\nAnswer: 3581, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1433 = 4*i + 1451, 6*r + i = 28. Determine h so that -12\/7*h**3 - 6\/7*h**2 + 9\/7*h + 0 + 3\/7*h**r + 6\/7*h**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33059*y + 8778 = -33290*y for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14988.24 to the nearest one hundred.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 - 8*j + 28. Suppose -3*w - 3*r + 24 = 0, -w - 4*w = 2*r - 40. Let h be d(w). Solve h = 2*p + p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15446.\nAnswer: 2, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 16) in base 6?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -53, -65, -57, -23, 43, 147?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4846 - 4816) + -42 + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166 - -181. Calculate the greatest common factor of g and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/((-3)\/(-24)*-2). Let o = -43 + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622702903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79867561.\nAnswer: 79867561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168041162.\nAnswer: 2, 43, 1953967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -278.82 + 278.8. Is d equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 27009 (c) 18 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzv when three letters picked without replacement from vvzvvvz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let o(m) = 10*m**2. Let r(c) = 44*b(c) + 4*o(c). Let i(n) = 29 + 6*n**2 + 25 - 54. What is i(r(p))?\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82622, -82962, -83302, -83642, -83982, -84322?\n\"Answer: -340*m - 82282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:31 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22863 + 22857. Sort -3, -1, b, 6, 4 in increasing order.\nAnswer: b, -3, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70b (base 12) in base 7?\nAnswer: -2654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 34*z = -38*z - 12, -30 = 5*f + 10*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-13 - (-10 + -19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/4))\/((j**(-5\/3)*j)\/j))**(-25) assuming j is positive.\nAnswer: j**(-725\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20327, 20619, 20911, 21203, 21495, 21787?\n\"Answer: 292*c + 20035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*u + 24, 18 = -2*u + 3*x + 2. Sort u, 5, 2 in descending order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -3. Solve -l*y + 5*y = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/2240)\/((-4)\/60*-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -163*x + 379. What is j(-6)?\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 25, 5, 0, -2.\nAnswer: -2, 0, 5, 25, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -5*t + 213. Suppose -3*r - t = -401. Is r a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t - 940 - 1354 = 120*t - 213*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 5. Let r be 18 - (0 - (-2)\/j). Calculate the highest common divisor of r and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let f(v) = n - v - 4 + 1 + 6*v**2. Calculate f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u**(2\/13))\/(u**(-3\/7)\/u*u**6) assuming u is positive.\nAnswer: u**(-1297\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/14*(-7)\/(-2). Let y = f - -7. Calculate the least common multiple of 8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -82 and -93 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r - 2*f + 1, -3*r = 5*f - 2. What is the highest common divisor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5662089?\nAnswer: 3, 209707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3853\/(-7) + (-3)\/(-7). Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 4) - 1 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -512\/5. Let t be 0 + 1 - (2 + 1). Let c be t\/4 + (-1)\/6. Put c, 3\/5, k in decreasing order.\nAnswer: 3\/5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364, -11840, -40390, -96050, -187856, -324844, -516050?\nAnswer: -770510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10729\/(-555) + (16\/(-40))\/2. Let g = -32\/37 - j. Do g and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 10. Suppose -5*x - 2*o = -29, -x = x - 3*o - h. Suppose -x*q + 37 = 7. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 4*c - 4. Let l(w) = w**2 + w - 1. Let x(k) = -j(k) + 4*l(k). Let u(h) be the second derivative of h**3 + 4*h + 6. What is u(x(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.245 + 0.025. Let j = q - -0.42. Sort 0.03, j, 0 in descending order.\nAnswer: j, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*n - 40, 13*n - 17*n = 3*j - 3. Which is the biggest value? (a) 0 (b) n (c) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14150843*d - 28543222.\nAnswer: 14150843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(-2\/9)*g)\/g)))\/g)**(-1\/10)*g*g*g**(-2\/15)*g\/(g**(1\/6)*g*g*g*g) assuming g is positive.\nAnswer: g**(-53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5\/((-10)\/(-72)) + -3 and (1\/(-2))\/((-2)\/108)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38376)\/1080*(-57)\/247?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33 - 2*g + 31 - 113*g + 3*g**5 + 29 - 9*g**4 - 18*g**3 + 78*g**2 + 34*g.\nAnswer: 3*(g - 3)*(g - 1)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 87 + 213. Suppose h = 7*s - 2*s. Calculate the greatest common factor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1518 (b) -4\/7 (c) -1.3 (d) 0.2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, 261966 in decreasing order.\nAnswer: 261966, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031310430 (base 5) in base 10?\nAnswer: 4166365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 521543842 or 521543843?\nAnswer: 521543843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820611559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2913000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640091 by -1.\nAnswer: 640091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -516 + 12*t - 503 + 1029 + (2 + 0 - 3)*(-t - 3 + 3) - 4*t + 4*t + t + 3*t + 0*t - 2*t + (-t + 2 - 2)*(0 + 1 + 1) - t - 3 + 3 + 5*t + 5 - 5.\nAnswer: 17*t + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**2)\/(k**4\/k))\/(k**(-2))**(-25) assuming k is positive.\nAnswer: k**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-2)\/(-5) - ((-4052054)\/190 + -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-3\/7))\/a)*a*a\/(a\/(a*(a**(12\/11)\/a)\/a)))\/((a**(-5)\/a)\/a)**(-2\/155) assuming a is positive.\nAnswer: a**(18762\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 2\/15*f**5 - 13\/24*f**4 + 0*f + f**2 + 4\/3*f**3 + 0. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 15021?\nAnswer: 15032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10801, 10808, 10815, 10822, 10829, 10836?\n\"Answer: 7*c + 10794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10102100220 (base 3) to base 11\nAnswer: 46654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1620) - (sqrt(1620) - (2*sqrt(1620) + sqrt(1620))))\/(sqrt(324) - (sqrt(324) - sqrt(324)*1)) - (sqrt(45)\/(sqrt(9) + -1*sqrt(1089)) + 1)).\nAnswer: -5 + 31*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + (26 - -70) + (128 - (-2 + -1 + 1)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-7)\/((-70)\/8)*(-68)\/68.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169721.9913 - 169734. Let y = m + 0.0087. Which is the biggest value? (a) 1 (b) -21 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) + 6*3*sqrt(76)))\/(sqrt(196)*2*2).\nAnswer: -19*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5 + 1. Suppose h*j = -5*b - 116, j + 8 = -j. Does 6 divide (-5)\/b - 46\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {i: 7, u: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6755.\nAnswer: 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 4753 = 4765 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 13. What is o in -4*o**3 + 3*o**2 + 3*o**2 + w*o**3 - o**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 g when four letters picked without replacement from kogokggogogk?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 537 in increasing order.\nAnswer: -1\/3, 1, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*m = -21, 11*z - 5 = 14*z - 2*m. Let s = -6 + 8. What is the remainder when s is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - j - 19 = 2*j, 5*j = -25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**2*f**2*p + 43*a**2*f**2 - 2*a**2*f*p + a**2 - a*p - 2*f*p wrt f?\nAnswer: 14*a**2*p + 86*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*a - 23*a + 52*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*w - 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-84)\/60) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1 - 3\/(-1). Suppose a + 410 = 3*c, -2*a = p*c + a - 277. Suppose -2*x = -2*l + 258, 0*l = -l + 5*x + c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 963.5922 minutes?\nAnswer: 57815532000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*s - 92385 = 60340, -y = 13*s - 30531. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4572 + -1489. List the prime factors of w.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 + -6 - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 1322996.9?\nAnswer: 1323000.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2475880\/220115 + (-234)\/21\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/(o\/(o**(-19)*o)))**(-15))**(-6\/17) assuming o is positive.\nAnswer: o**(-1620\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (7 - (-63 - -26 - -20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11)**(1\/25)\/(r**26*r**(1\/15)) assuming r is positive.\nAnswer: r**(-1922\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(243) + ((sqrt(243) - sqrt(243)*-2) + -1)**2 + sqrt(243)) - (0 + 5 + -1*sqrt(243))).\nAnswer: -405*sqrt(3) + 21905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0*r - r - 15 + 17. Let a be m(3). What is the remainder when 21 is divided by 2 + (-9)\/(a + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-1) + (-1 - -5). Let k = 33 + -29. Let q be -10*-1*(-2)\/k. What is the second biggest value in 0.3, f, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.07, 5, 2.1, -0.9, 0.5, 2.92, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8353979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 15*q - 14.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - i**4 + (-2*i + 2*i - 2*i**2)*(492*i**2 - 11*i - 994*i**2 + 7 + 496*i**2).\nAnswer: 11*i**4 + 22*i**3 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u - 190. What is the remainder when 475 is divided by f(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155.1 + -155.1. Which is the third smallest value? (a) -7 (b) o (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utfbfbw. Give prob of picking 1 b and 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*l**2*u**2 + 4015393*a**2*l**2 - 5*a**2*l*u + 5*a**2*u**2 + 7600*a*l*u**2 - a*l*u + u**2 wrt l?\nAnswer: -8*a**2*u**2 + 8030786*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 14. Let v be c(-4). Solve -4*u + v*u = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 6. Let i be 3*4\/(-8)*352\/(-144)*3. Let z(u) = -2*u + 1 + 3*u + 2*u - 2. Give i*z(f) + 2*t(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 10*t + 5. Let i(f) = f**3 + 8*f**2 + 3*f + 34. Suppose 0 = 5*a + 18 + 22. Let l be i(a). What is q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2831*l + 2831*l - 1752*l**2 - 450*l**2 in the form m*l**2 + f*l + r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 - q - 1. Let n(m) = m**2 + 6*m + 7. Let u be n(-4). Let o(z) = 5*z**3 - 3*z**2 + 3*z + 3. Determine u*o(r) - 3*i(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*w = 375*w - 616*w + 6642 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3388227 and 3388218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(2660\/57)*((-14)\/3)\/1.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 6*(6 + -8). Let p be 4\/m*(-21)\/(-14). Let s be (-2)\/(-40)*(-10)\/8. Which is the closest to -1? (a) 3 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 446*y + 443*y + 26, -4*s + 3*y = 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 h when three letters picked without replacement from {o: 4, s: 3, i: 2, h: 1, j: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47222, 47216, 47208, 47198, 47186, 47172?\n\"Answer: -s**2 - 3*s + 47226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by -276.\nAnswer: 65\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 12*b + 1. Let z(i) = -9*i**2 + 24*i. Let y(f) = -7*h(f) + 4*z(f). What is y(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - (2 - 4) - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3229431 - 5768573.6770569. Let k = -5768567.0000168 - f. Let t = k + -7. Round t to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**(-1)*d)\/d))**(6\/19)*d*d*(d*d**(1\/3))\/d*d**(-2\/15)*((d**(-13)*d)\/d*(d*(d*d\/((d**(-5)*d)\/d))\/d*d*d)\/d*d)**(-50) assuming d is positive.\nAnswer: d**(19239\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3947*w + 56. Let l(q) = -27*q**2. Give c(l(m)).\nAnswer: 106569*m**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m - 1. Let t = 3 - 1. Calculate the remainder when n(-3) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32594137 is divided by 851?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**35)\/(z*z**(-21))*z**9\/z**(-27) assuming z is positive.\nAnswer: z**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-33.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -324006\/37 or -8758?\nAnswer: -8758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 12*j**2 + 7*j - 24. Determine v(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (-7 + -4 + 2 - -24 - -58).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5561 + 5578. Solve s*v - 108 = -v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 6. Let d(z) = 9*z + 13. Let j = -10 + 23. Let r(g) = j*l(g) + 6*d(g). Let t(n) = n**2. Give t(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 7.3. Are q and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 11. Give z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -39. Let x = -12 + l. Solve -x*g + 2 + 8 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/341925, -2, 3\/4 in ascending order.\nAnswer: -2, 1\/341925, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 9*r - 140. Let p(x) be the second derivative of x**3\/6 + 3*x**2\/2 - x. Let w be p(r). Solve 6*c - c = -w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8 and 0.7?\nAnswer: -4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.03, 12\/23 in ascending order.\nAnswer: -0.03, 0, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l - 42. Calculate the remainder when 61 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85862 or -0.3207?\nAnswer: -0.3207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -21112 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 3\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -64 - 2. Let y(o) = 6*o + 9. What are the prime factors of y(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637823 is divided by 18690.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - u**3 - 2*u + 6 + 6*u + u**2 - 1 to the form r + v*u + m*u**3 + y*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a hour in minutes?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 2. Calculate j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2893*m + 138868. Determine d(48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.055? (a) 0.2 (b) -0.4 (c) -3.3 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 8 - 8 = 0. Let m(v) = v - 2 + 13*v**t + 4*v - 2*v. Calculate the remainder when 27 is divided by m(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*b + 115*b - 32145 + 32145.\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/29093526 and -2\/7?\nAnswer: 29093526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - 4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 + 403. What is the highest common factor of a and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.10511 + 0.051\nAnswer: 17.15611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + 3 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9473774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 6. What is the second derivative of 0*p**g - 3*p**3 + 0*p**2 - 2*p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 279, 278, 267, 240, 191, 114, 3?\n\"Answer: -i**3 + i**2 + 3*i + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -2798839 (c) 1 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4*2 + 32\/8 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4150 + -87140\/21. What is the common denominator of z and (92\/(-198))\/((-1)\/3)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -397815 + 223571939\/562. Calculate the common denominator of -74\/3 and m.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-783)\/174)\/(6\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = 2*g + 2, u + 3 = 3*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 - 642 = -18*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 23*p + 28. Let g be h(0). What is the greatest common divisor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 526 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a - 33*a - 5*a - 9*a in the form l*a + d and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 < -0.286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347802?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) -9.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (318*c + 312*c + 82*c - 233*c)*(-2*c - 6*c + 2*c) - 2*c**2 + c**2 - 2*c**2 to o*c + p*c**2 + l and give p.\nAnswer: -2877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*(78\/(-104) + (-5)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 63*d + 227. What is q(0)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 - 181. Let h be g*(2 - 40\/12) + -3. Let u(x) = -14*x. Let b(p) = -p. Calculate h*u(t) - 21*b(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116517 + 17010?\nAnswer: -77507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 729 and 1256505.\nAnswer: 915992145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64581?\nAnswer: 3, 11, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77.7 + 81.7. Sort 0.2, 2, p, -17.\nAnswer: -17, 0.2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from zxxxzzxzxzxx.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*d**3 + 77*d**3 + d**2 - 4*d**2 + 77*d**3 + 43*d**3.\nAnswer: 7*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/45)\/(2\/(-9)). Suppose 0 = -x*i - 1 + 4. Let v(n) = -n**2 - 5*n - 2. Let r be v(-3). Solve -b - r = -i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 37024524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -2) + (-56 - -59)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -300.65 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19174.661 rounded to the nearest 100?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/36209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 717546?\nAnswer: 717544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:00 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4*d**5\/45 - 29*d**4\/3 + 680*d**3\/27 - 748. Find v, given that q(v) = 0.\nAnswer: 0, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7484, -59782, -201808, -478448, -934588, -1615114?\nAnswer: -2564912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 234326341 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -3)*((-135)\/(-18) - 7). Let t(m) = 3*m**2 + 6*m - 6. Give t(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*p**3 + 1940*p**2 + 2540*p - 1680.\nAnswer: 5*(p + 2)*(p + 14)*(25*p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -3837*t**5\/20 - 115*t**4\/8 - 6756*t**2. Find the second derivative of m(w) wrt w.\nAnswer: -23022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 1\/10*a**5 - 1\/2*a**3 - 5*a**2 + 0*a - 5\/24*a**4 - 1\/120*a**6. What is b(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32428.65 - -33130. What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -782776651 + -0.4.\nAnswer: -782776651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 5. Let v be u(-7). Suppose -h + 42 = v*h. What is the least common multiple of 4 and h\/(-3 - (-2 + -3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 129 = -40*s. Let b = 91 - s. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 13*o**5\/20 + o**3\/2 - 16*o**2 - 2*o - 10. Find the first derivative of h(x) wrt x.\nAnswer: 39*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + q**3 - q**3)*(3 - 5 + 4) + (-q**2 - 5*q**2 + 5*q**2)*(10 + 7 - 5)*(-3*q + q + q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2 - (-95)\/50. Let r be -2*1\/18*2. Let w be (-56)\/(-63)*2\/8. What is the closest to w in p, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 2*q**2 - 51*q - 16. Let n be t(-11). Is 0.2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 30*c = 88. Let z(q) = 24*q - 10*q - c*q. Let v(h) = -34*h. Give z(v(x)).\nAnswer: -102*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*1\/((-49)\/(-14))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72555 and 43260.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.71 + -4.41. Let g = -4.7 - r. Which is greater: g or -34?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**4 + 2*q**4 - 2*q**4 + 2*q**4 - q**4 + (3*q + 3*q - 4*q)*(-3*q**2 - 2*q**3 + 3*q**2) + 3*q**4 - 2*q**4 - 3*q**4 + 52*q**4 + 56 - 56.\nAnswer: 46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 13. Let d be u(-9). Let n be (-1)\/(((-2)\/1)\/d). Is n + 2 + 18\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162952775023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 2, c: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 2224 + 2224.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -790*n - 6349. Determine j(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 2*l - 1. Let j(p) = p**2 - p. Let d(v) = -3*j(v) + 2*m(v). Let t be d(-3). Suppose t*n - 160 = 5*n. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + v = -716, 0 = b - v + 2*v - 244. Suppose 3*z = -z + b. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebz when four letters picked without replacement from {p: 1, b: 4, e: 1, z: 1, u: 1, m: 5}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 215 = 835. Suppose 9 = 4*p - 55. Calculate the remainder when j is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:50 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2853)\/(-8242))\/(1*(-2)\/(-4)))\/((-6)\/8).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - a + a)*(2*a**2 - 5*a**2 - a + a**2)*(6 + 8 - 6) in the form q + x*a + p*a**3 + y*a**2 and give p.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -311, -695, -1231, -1919, -2759?\n\"Answer: -76*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -0*p + 5*p. Let q(k) be the third derivative of k**3\/6 - 78*k**2 - 2*k - 1. Let t(n) = n + 2. What is p*q(d) + 5*t(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10153\/3 - -3383. Which is the fifth biggest value? (a) 4 (b) 3\/2 (c) k (d) -5 (e) -219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -0*b + b. Suppose b = 24*i - 112 - 8. Solve x + 3*o = -0*x + 3, i*x = -4*o - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 6. Let i(j) = -j - 4. Let q(p) = -3*i(p) + 2*z(p). Let k(f) = -f**2. Let s(w) = -k(w) - q(w). What is s(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-22)*f*f*f*f))**(-10)*(f\/f**(1\/3))**(3\/14))**(-1\/5) assuming f is positive.\nAnswer: f**(1259\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftttftcfftft. What is prob of sequence ct?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3456 divided by -1\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 10. Let w be s(-3). Let n = 19 + w. What is the derivative of n + o**2 + o**2 + 7*o**2 wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x - 11*x + 4*x. Let i(z) = z**2 - 3*z**2 + z**2. What is y(i(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:12 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/64 + (13 - 680\/48)*9\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 8. Calculate x(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 231.\nAnswer: 231.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-2\/7)\/c)\/c)\/((c*c\/c**(-13))\/c) assuming c is positive.\nAnswer: c**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, -181, -399, -703, -1093, -1569?\n\"Answer: -43*y**2 - 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z + 125. Let j be s(15). What is the tens digit of (1\/8 + 125\/j)*-89?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79281 is divided by 13211?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3 + 222*p**2 + 144*p.\nAnswer: 3*p*(p + 24)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20935156*a - 32752507?\nAnswer: 20935156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r - 3. Let c(y) = y + 7. Let s be c(-5). What is b(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 10*c**2 + 0*c**3 + c**3 + 0*c**3 + 3*c**3 - 1 to j*c**3 + n*c**2 + u*c + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -198, -291, -384, -477, -570?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + 4 + -8 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (78\/(-65))\/(4\/(-10)). Suppose -12 = -t*d - 0*d. Solve -10 = s + d*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in 0, -1\/4, 10, 0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15\/(-10))\/(358155\/(-119376) + 3)?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*g - 16 = 0, 0 = -4*n - 18*g + 23*g + 26. Let p be (2 + 1)\/3 - 52. Find the common denominator of -25\/16 and p\/(-15) - 1\/n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**7\/280 + t**4\/24 + t**3\/2 + 3*t. Let r(b) be the second derivative of w(b). Differentiate r(x) wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 8.4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*g + l + 3, -2*l + 14 = 2*g. Determine r so that -8 + 13*r**2 - 6*r**g - 3*r**2 - 4*r = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 5\/19, 269, -0.3, 0.1, 2, -4\/5?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-6)\/(-12)*(2 - 2). Suppose -3*a + 304 = 5*h, -5*h + 351 = -3*a + 35. Suppose o*v - h - 163 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - h - 23, 5*p - 5*h = 43 + 12. Suppose p*q = 10*q + 14. Suppose -q*w + 48 = -4*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12100207 + -1?\nAnswer: 12100206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j - 67. Let x(n) = 2*n - 36. Let u be x(j). Suppose -2*c + l + 155 = 0, 0 = -u*c - 0*c - 4*l + 340. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1089 and 6138.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 7. Suppose v = -2*k - 1. Let n be 3 + -1 - k\/(-10). Is 1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -43*t + 219. Let u be w(5). Let g(f) = 6*f - 10. What is g(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/147)\/(((-480)\/(-252))\/(-20)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:33 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 7 + 38. Let o = l + 33. Suppose o*i - 6 = -3*d, -6*d + 4*i = -4*d - 20. Is 38\/11 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*y + 40 = -716 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 4*v, -n = n - 4*v. Solve n = z - 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 14*a - 30. Let k(s) = s**2 + 3. Determine k(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330 - 214. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.93 + 0.07. Let q = -5.6 + g. Let h = q - -0.1. What is the closest to 1 in 1, -1\/7, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let n be -3 + 7*(-3 + v). Let c be n\/22 + (-17)\/33. Sort c, 0.2, 4 in descending order.\nAnswer: 4, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 8, k: 4, m: 2}. What is prob of sequence mkml?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 + 891\/(-55) + (-816)\/(-30). Solve -z + 36 = 5*y - 8, 4*y = z + r for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-39 - -46 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 1085 = -9*u. Let i = 233 - u. Calculate the remainder when i is divided by (-86)\/(-3) + 2\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 15585*w**2 + 21798540*w.\nAnswer: -5*w*(w - 1047)*(w + 4164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/86940 and -89\/1038933?\nAnswer: 20778660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1267, 2484, 3701, 4918, 6135, 7352?\nAnswer: 8569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 11. Suppose 5*b = 3*w - 46, 4*w - 7 = -4*b + 1. Let m be j(w). Suppose 16 = -4*o + m, -2*k - 4 = 4*o. Sort -0.3, k, -2\/3.\nAnswer: -2\/3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w + 1. Let s be -2 + 2 + -1 + 3. Let y be k(s). Suppose -p = p - 12. What is the greatest common factor of p and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*h**2 + 95*h**2 - 222*h**2 + 61*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/5355)\/((-4)\/56)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 - -20) + 11 - 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 33. Suppose 3*i = 13 + k. Calculate the greatest common factor of i and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9*h + 21. Suppose h*j = 5*k - 18, 5*k + 2*j + 2 = 15. Suppose -w + k = g - 0*g, -2*w = -5*g + 50. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 14. Let i be t(9). Let o(s) = s - 8*s + s**2 + i*s. Let r be o(5). Solve 4*z - 2 = r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 806181390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.62 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208407 is divided by 7648.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4066146 is divided by 2026.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert cfd3 (base 16) to base 8.\nAnswer: 147723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 0 + -5 + -3.\nAnswer: -8 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:28 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(162))\/(sqrt(48)\/(sqrt(16)\/sqrt(2))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/(2\/4). Let j(q) = -q**3 + q**2 - 5. Let s be j(0). Which is the nearest to 0? (a) m (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2, 0.3, -3, -1032\/13, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0411 - -0.026. Let u = -0.035964 - v. Let c = -0.021 - u. What is c rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -39760790397522?\nAnswer: -39760790397521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43506 and 87012.\nAnswer: 87012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*c = 733, -59*c - 3677 = -5*d - 61*c. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40442 at least 40441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -11, 13, 73, 181?\n\"Answer: 2*a**3 - 14*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-22960)*-28)\/(3\/3 + -2)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-42)\/(-5) - 9\/(-15) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1146\/54 - (-4)\/(-18). Let x(d) = d**3 - 6*d**2 + 2*d. Let a be x(5). Let m = q - a. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 3, 1\/15, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + 2 + -3 + 1*sqrt(720))*2)**2.\nAnswer: 2400*sqrt(5) + 72100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 11 - 14. Let s = 2 + n. Suppose -3*m = -0*m + s. Do m and 3\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**15*k**0\/k)\/((k*k**(-15))\/k**15) assuming k is positive.\nAnswer: k**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111677819*x**4 - 30679203?\nAnswer: -446711276*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*g**2 + 69*g**3 - 136*g**3 + 66*g**3 + 44*g**2 in the form r*g**3 + h + w*g + z*g**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 - 3*b + 6. Let d be u(-4). Let m(v) be the first derivative of 0*v - d + 2\/9*v**3 - 1\/3*v**2. Let m(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3 + (-3 + 1 + 0)*(-2 + 3 - 2) - 1 + 0 + 0 + (-2 + 4 + 0)*(-2 + 3 - 7))*(-177*d**2 - 66*d**2 - 45*d**2) as h + j*d**2 + u*d and give j.\nAnswer: 3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8136)\/4407)\/(2\/(-26))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.447 + -6609.\nAnswer: -6605.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/3523 in 4\/7, -3, -1\/6, 36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 3, j: 1, w: 3, a: 4, s: 5}. Give prob of picking 1 s, 1 w, 1 l, and 1 t.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -444000 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 19*t - 19. Let q be b(14). Suppose 0 = -s - q + 181. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*(t**(-4\/13)\/t)\/t*t)\/t*t*t*t))**(2\/83))**(29\/5) assuming t is positive.\nAnswer: t**(-522\/5395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -1026966.5314.\nAnswer: -1026951.5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 p when three letters picked without replacement from {p: 2, c: 1, t: 1, o: 2, x: 5, s: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 21 = -402. Suppose -4*l = 5*l - t. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99863481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ututuuuutuuuuutuuu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 257248346*a + 549040481 wrt a?\nAnswer: 257248346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*f**4*k**3 - 3*f**3*k**3 - 2*f**2*k**2 - 4*f*k - k**3 wrt f.\nAnswer: 1296*f*k**3 - 18*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13629, -27095, -40575, -54075, -67601, -81159, -94755, -108395?\n\"Answer: -a**3 - a**2 - 13456*a - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10. Let j(a) = -2*a + 3962. Calculate j(g) + 8*k(g).\nAnswer: -2*g + 4042","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 s when three letters picked without replacement from {v: 3, s: 1, a: 3, p: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4974820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 27*x**2 - 11*x**2 - 3*x**2 + 3*x in the form b + v*x + u*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**3 - 316*v - 48*v**3 + 316*v - 44*v**3 + 146*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 309 - 121*s - 59*s - 308 - 2*s + 3*s + 0*s + (-2 + 0 + 3)*(-s + 7*s - 4*s) + 2*s - 3*s + 3*s.\nAnswer: -175*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3255 and -52.\nAnswer: 169260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 35 (c) 9\/181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1537.184 minutes to nanoseconds.\nAnswer: 92231040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 66*d**3 - 360*d**2 - 702*d - 405.\nAnswer: -3*(d + 1)*(d + 3)**2*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 34479.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199.2 - 183. Let i = -16 + y. Suppose -4*r - 1 = 11. What is the closest to i in 2\/9, -1\/3, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-40)*(-10)\/4. Suppose -m*k + 0*k = -6. Suppose u - 6 = 2*l - 5*l, 0 = -k*u - l + 50. Calculate the smallest common multiple of u and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*l - 30, 3*l + 6614 = 2*x + 6626 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44445 or 44446?\nAnswer: 44445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4388232 and -5.\nAnswer: -21941160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*y + 210 - 222 = l, -300 = -75*l for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + -14.2. Which is the closest to f? (a) -0.2 (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-9)*n)\/(n*n*n**(-27)*n*n))\/(n\/(n\/n**(5\/8)*n)*n*n**27*n*n) assuming n is positive.\nAnswer: n**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 8.3. Let c = -13.5 - -21.47. Let j = c + h. Round j to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuotrrttor. Give prob of sequence rurt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/120 - c**5\/20 + c**4\/12 - c**3\/6 - 2*c**2. Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -89*j**2\/2 + 101*j + 36. Differentiate n(b) wrt b.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and 101\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193543274 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m + 444. Let x be p(34). Let r be (-2)\/3*7\/14. What is the closest to -2 in r, -5\/6, x?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 40. Let c(p) = -5*p**2 - 10*p - 14. Let b be c(-2). Let d be i(b). Let s = d + 85. Which is bigger: 6\/19 or s?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 divided by -2?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 + 5*o - 27. Let v be l(-8). Which is the smallest value? (a) v (b) 6\/7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 24 + 16 = x, 4*x - 5*q = -17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9533163, -9533178, -9533195, -9533208, -9533211?\nAnswer: -9533198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -39\/2 (b) 1.52 (c) 12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 4*u. Suppose -s - 4 = -5*s. Let b = 2 + s. Determine d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 1, w: 6, d: 6, j: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kakfkkkkka. What is prob of sequence kaa?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7291153, -14582350, -21873547, -29164744, -36455941, -43747138?\n\"Answer: -7291197*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 2370, 6732, 15290, 29442, 50586?\nAnswer: 80120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(23\/69)\/((-3)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*j**2 - j**2 - 26*j - 3*j - j + j**3 + 4*j to the form q*j + m*j**3 + a + c*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85172014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-34 + 19 + 19)*(-2)\/(-36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562073462?\nAnswer: 2, 113, 157, 100391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 5*h + 7. Suppose 0 = -4*d + 6*d - 48. Calculate the remainder when d is divided by b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14137200639 and 0.019.\nAnswer: -14137200638.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 169 + 461 = 5*d, 11*d - 3*w + 43 = 9*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4528653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -346984597*x - 472775175.\nAnswer: -346984597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(39\/13)*(28\/10)\/(-2).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*s - 426*s + 2118 = 0. Solve -s + 363 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 86*g + 522. What is w(19)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07954 * -0.14\nAnswer: -0.0111356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 312, 281, 264, 291, 392, 597?\n\"Answer: 5*y**3 - 23*y**2 + 3*y + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2021 - -111420?\nAnswer: 104344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 416*n**3 - 14196*n**2 + 158184*n.\nAnswer: -4*n*(n - 39)**2*(n - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 3*f**2 - 2*f - 1. Let p be v(-3). Suppose p*m - 35 - 105 = -d, 5*m - 130 = d. Let j be 6\/m - (-20)\/(-90). Solve j = k - 2 - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - 4.87. Let u = 0.9 + -5.9. Let k = -3 - u. Which is the smallest value? (a) -3 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/30 - (-179)\/3. Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 12 - 4*a**3 + 3*a**3 + 2*a**3 as b*a**2 + p*a + r*a**3 + v and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -68212*w + 67833. Give r(1).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432)*-1)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.3033 decades to centuries.\nAnswer: 1.73033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2204.385 - -0.5.\nAnswer: -2203.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1632915 and 5895.\nAnswer: 1632915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1288992 - 4386732 = -60*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6072 (b) -208 (c) 1\/6 (d) -2 (e) 3 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:48 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7789687 - -0.615?\nAnswer: -7789686.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 158 = 11*f - 58 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*o - 2*f, -51 = -o - 5*f - 18. Solve -8 = 4*p + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 951, 961, 989, 1041, 1123?\n\"Answer: j**3 + 3*j**2 - 6*j + 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*7\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 616, 1631, 3050, 4885, 7148?\n\"Answer: 2*l**3 + 190*l**2 + 431*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:38 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667 - 154 = -395*w + 368*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14.7 * -119\nAnswer: 1749.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + 102279?\nAnswer: 102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 11. Calculate j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 13*g**4\/12 - 3*g. Let a(j) = 2*j**2. Calculate a(t(c)).\nAnswer: 338*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/3)\/(2\/(-3)). Let q be (2\/(-3))\/((-4)\/o). Let x = 0 - -5. Solve h = -4*u + 16, x = q*u - 0*h + 5*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(1\/5)*v))\/v)**(1\/9)*v**(-17)*v*v**(-1\/6) assuming v is positive.\nAnswer: v**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.77 + -0.17. Let r = h + 0.8. Let j = 0.6 + r. Which is the third biggest value? (a) -2\/5 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 12*b**4\/7 + 88948*b**3\/7 - 2560972*b**2\/7 - 9435572*b\/7 - 408192 = 0.\nAnswer: -7441, -3, -1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 39 = -6. Let t(c) = c**2 - 8*c - 4. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*i + 2821*i - 9954 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 34 - (2 + 9 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/7)*m\/(m*m*m**(-1)*m*m)*(m\/m**(-2\/15))\/(((m**(-1\/11)\/m)\/m)\/m))**(-13\/2) assuming m is positive.\nAnswer: m**(-16237\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*i + 1048, -5*i + 463 = 5*v + 1843. Sort 4, -1, v, -3 in decreasing order.\nAnswer: 4, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44700 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhbxxxdzzzxdxzxxz. Give prob of picking 1 d, 1 z, and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*q - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203*d + 44*d + 352*d)*(-d + d - d**2)*(65 + 3*d - 65).\nAnswer: -579*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 2, b: 1}. Give prob of sequence mbp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let h(l) = l**2 + 4*l + 9. Let c(y) = h(y) + 4*j(y). Let k be 12 + (-3 - (-4 + 1)). Suppose k = w - 4*w. Calculate c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 4*g**2 + 1219*g + 6142. Determine f(-5).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -c78543?\nAnswer: c78538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9336 is divided by 323.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 50 = 5*t, 2155*z - 2151*z = -4*t. Let i be 2\/(-5) - 110\/(-25). Let d(h) = 18*h**2 - 1 - 8*h**2 - i*h - h**3 - 5*h**2. What is d(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -89. Suppose 8*d + 543 = -4*r + 5*d, 0 = s*r - d + 391. Let p = -2 - r. What are the prime factors of p?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1110011010111?\nAnswer: 1110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, -2304.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 + 0*l**2 + 0*l - 8 - 3*l + 5. Let m(x) = 14*x**2 + 5*x + 5. Calculate -3*m(d) - 5*t(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 682036*b**2 - 341023*b**2 - 341013*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4580144 and 1728?\nAnswer: 494655552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 20*h - 85. What is v(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0 - 1\/30*f**5 - f**2 + 0*f**3 + 0*f + 0*f**4. Let z(o) be the third derivative of o**5\/12 - 3*o**2. What is z(w(y))?\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*q. Suppose 4*h - 3*f = 40, 0*f = -q*h - 3*f + 2. Let i = -130 + 142. What is the remainder when i is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-246)\/902 + (-161882)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/t**15*t)\/t)\/t)\/t)\/t**33)**(-32))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 7) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose 2*h - 24 = -o + g*h, -3*o + 3*h = -63. Suppose -i + 4*k + k = -o, -3*k = 3*i. Does 4 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxebwsxs. Give prob of picking 1 x and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -782*f**2 - 7*f + 20244 wrt f.\nAnswer: -1564*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43360?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/30)\/(80\/24).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(10) + -4 - -5*6*(sqrt(5) + 1).\nAnswer: 26 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71372, -71297, -71172, -70997, -70772, -70497?\n\"Answer: 25*h**2 - 71397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 395500 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -16.3. Let i = 12392\/3 - 4083. Let g = i + -48. Which is the nearest to w? (a) 5 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddm when three letters picked without replacement from dmmmddd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -4*k, 2*k = 2*j - 124. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 44316\nAnswer: 44321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -278 + 0?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 1738.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*n = -4944, -3*h - 36*n + 3702 = -31*n. What are the prime factors of h?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - 2*b - 50. Let g(o) = o**2 - 4. What is -g(s) - l(s)?\nAnswer: 2*s**2 + 2*s + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(((l*l\/(l\/(l*l\/l**(2\/13)*l)))\/l)\/l*l)\/l*l*l*l**7)\/((l**2*l*l)\/(l**(-4)\/l)) assuming l is positive.\nAnswer: l**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1655 divide 716301087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*h**4 + 3\/8*h**5 + 0*h - 3\/8*h**3 + 0*h**2 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -668\/31 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651672, 1303344, 1955016, 2606688, 3258360, 3910032?\nAnswer: 4561704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 357*l**4*u*x - l**2*u - 2*l*u*x + u*x - 1814*u with respect to l.\nAnswer: 1428*l**3*u*x - 2*l*u - 2*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793.9 rounded to the nearest ten?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109509984 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 3. Let t(y) = -9*y - 6. Let s(w) = w**3 - 9*w**2 + 13*w - 2. Let z be s(7). Let u be (20\/z)\/(-1) + 4\/(-18). Calculate u*t(n) - 5*f(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 15. Let f be m(7). What are the prime factors of (-34)\/(-255) + f\/(15\/(-1618))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - a**2 - a**2 + ((4*a - 1 + 1)*(3 + 4 - 6) - 5*a - 3*a - 9*a)*(-8*a - 3*a + 2*a).\nAnswer: 119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97739773?\nAnswer: 29, 73, 137, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0 + 0*o**2 - 5*o + 1\/3*o**3. Let i(g) = -16*g**2 - 8*g - 8. Let c(f) = -f - 1. Let h(x) = 8*c(x) - i(x). Give h(z(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20343 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 0. Suppose 12*w - 7*w - 35 = -4*v, v = -w + 8. Put q, -4, w in increasing order.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -27*z - 3*v + 7*v - 4 - 5, -2 = -2*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 9*v + 5. Let r be p(9). Find the first derivative of r*z - z**3 - 5*z - 4 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 0 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107421 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305838161?\nAnswer: 3, 271, 535399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 1, p: 1, q: 2}. What is prob of sequence qs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/5 - 66*z**3\/5 - 1321*z**2\/5 - 7656*z\/5 - 13456\/5 = 0. Calculate z.\nAnswer: -29, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4 and -4 - -3 - 3\/(-14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1.8. Let c = -8 + 14. Suppose h - c = -h. What is the closest to -1\/4 in h, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(4 + 1*((2 + sqrt(108) - sqrt(108)) + 2)*1))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 44*t**2 - 19*t**2 - 2*t**2 to the form d*t**2 + i*t + r and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.083\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 999298789 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -18183 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxvaxxxxaxax. What is prob of picking 1 a and 2 v?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938375.\nAnswer: 5, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 h when three letters picked without replacement from {h: 5, q: 3, v: 3, c: 1, l: 2, f: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/18*3*2. Let f = 0 + x. Is (f\/2)\/(6\/60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*n + 42, -323*o + 327*o - 96 = -5*n. Factor 200*s - n*s**2 - 2000\/3 + 2\/3*s**3.\nAnswer: 2*(s - 10)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -63 (b) -2\/5 (c) -1 (d) -0.3 (e) 3 (f) -6.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -203345?\nAnswer: 203350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -171, 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 70. Find the second derivative of -18*j**3 + i*j - 3*j**2 - j**2 + 4*j**2 wrt j.\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321051677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 3. Let p(k) = k - 1. Let i(j) = n(j) + 2*p(j). Let y(s) = -38 - 142*s + 17 + 293*s + 16 - 149*s. Give -5*i(o) - y(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 425.4 times 0.01816\nAnswer: 7.725264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -31. Let y(f) = -6*f**2 + 9*f + 35. Let c(s) = -7*s**2 + 8*s + 36. Let q(d) = -5*c(d) + 6*y(d). Let g be q(v). Which is bigger: -13\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/18*((6 - 3) + -5). What is the nearest to 0.4 in -4, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(85)\/sqrt(45) - 5*sqrt(17)*2.\nAnswer: -28*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785310 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytt when three letters picked without replacement from tixtyctciccthh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g**3 + 24*g**2 - 13*g + 6. Let j(n) = 11*n**3 + 23*n**2 - 14*n + 7. Let y(a) = -5*j(a) + 4*k(a). What is y(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 2214184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-18) + -2 - 215\/(-129).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182407310 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4386*i - 114090. Give a(26).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(15\/54) + 2\/5. Suppose 2*a - 16 + 5 = -x, 5*x + a - 19 = 0. Suppose b*t = z + 146, x*t - 2*z = -4*z + 115. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4526, 18127, 40796, 72533, 113338, 163211, 222152?\n\"Answer: 4534*w**2 - w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23559 + 58850385\/2498. What is the common denominator of 17\/10 and p?\nAnswer: 12490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133334543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 18*i - 48. Let k(h) = h**2 - 3*h - 8. Let a(v) = 6*k(v) - y(v). Let l(b) = 0*b**2 - 3*b**2 + 2*b**2. Give l(a(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.05, -2\/23, -0.1, 9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*6\/10. Let n(u) = -u**3 - 29*u**2 + 30*u + 875. Let q be n(-29). Which is the fourth biggest value? (a) 1 (b) -0.1 (c) j (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u + 4. Let t be ((-4)\/2)\/(-17 - 693\/(-42)). Let v(q) = -10*q + 5. Calculate t*r(y) - 3*v(y).\nAnswer: -6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:44 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -0.03188?\nAnswer: -0.089264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079075 less than or equal to -31293208\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 265128345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1285.\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (4 + 0 + sqrt(343))**2 + ((0 + sqrt(343) + sqrt(343) + -1 - sqrt(343) - sqrt(343))*4)**2).\nAnswer: -377 - 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -152, -249, -364, -503?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*z + 47, -2*z - 5 = -z. Suppose c = 3*m + 6. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 4. Let t be y(-5). Put t, -2, -1 in ascending order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3 - (-3 + 20\/12). Let i(o) = -3*o + 631. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 17 + -19 + (1 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let c be h(4). Suppose 0 = -d - x + c, 4*d + 0*x = 3*x + 8. Suppose 3*u + 12 = -u. Sort u, d, -4.\nAnswer: -4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*k - 13*k. Solve c + 24 = -5*r, k*c + 3*r + 32 = -2*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-149.629.\nAnswer: 149.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1123*k**2 + 5*k + 4. Let f be 4\/22 - (-17)\/(374\/(-48)). Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 4*h - 4, 0 = 5*z - h - 21. Let l(v) = -v**3 - 8*v**2 - 6*v + 15. What is the remainder when l(-7) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23456*l - 1 + 23094*l - 3 in the form s + i*l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(-1*sqrt(9)*-1))\/((sqrt(5) + ((sqrt(25)*2)\/sqrt(5) - sqrt(5)))*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 + 7*f - 7. Let x be p(6). Let r be (-95)\/20 - x\/(-4). Let o(z) = z - 10. Let g be o(7). Sort -1, r, g.\nAnswer: r, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*p**3 - 5*p + 17*p + 34*p**3 - 2 - 12*p.\nAnswer: 244*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 5*v = 3*v + 4*r + 248. Suppose -5*p = v - 439. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Suppose -n - b = -2*i - 2*n, -2*n = -4*i - 10. Let w = i - -8. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 196515*j - 196514 = 0 for j.\nAnswer: 1, 196514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -1. Let h(p) be the first derivative of -p**4\/4 - p**2\/2 + 3*p - 1. Let v be h(0). Sort q, v, -3.\nAnswer: -3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 0*i + 3*i. Let j(p) = 56*p**2. What is j(r(s))?\nAnswer: 224*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42.43909 centimeters?\nAnswer: 0.4243909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 311. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*w + 1106, -2*m - 4*w = -m - 372. Suppose -151*b = -152*b + m. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 16*k + 8. Let s be y(-4). What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 7, 31.73, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8977970 and 11\/4300?\nAnswer: 89779700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12339\/13 + -949. Sort 1\/9, 4, 1\/52, s in ascending order.\nAnswer: 1\/52, 1\/9, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:27 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352a (base 11) to base 15.\nAnswer: 158a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**3*u**2 + 81*l**3 - 2366*l**2*u**5 - 3*l - u wrt u?\nAnswer: -10*l**3 - 47320*l**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alllllllalllllla. Give prob of picking 2 a and 1 l.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1458)\/66 - (-2)\/22. Let f = 2 - -21. Let v = f + a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27846773\/156 - 178504. Let p = 945\/121 + -86657\/9438. What is the common denominator of p and z?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, w: 3, a: 1}. What is prob of sequence ur?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*l**2 + 10*l + 24\/5 + 2\/5*l**3.\nAnswer: 2*(l + 1)**2*(l + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16067178*d**3*j**2*k**2 + 3*d**3*j*k + 52*d**3 + 6*d**2*j*k**2 - d**2*k - d*j*k - 14*j*k wrt j.\nAnswer: -32134356*d**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001113505791 rounded to 6 dps?\nAnswer: -0.001114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 4*p, 0*w + 5 = p - w. Suppose 1410 = p*h - 3*x, -x = -2*x + 5. Suppose -63*c + h = -66*c. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3*n**2 + 3*g**3 - 1063*g**2*n**2 - g*n - 2935*n**2 wrt g.\nAnswer: -18*g*n**2 + 18*g - 2126*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Let q = u + -0.3. Let s = -2 + 4. Which is the nearest to 1\/3? (a) q (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19794 divided by -3299?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/10*8\/(-6). Suppose -3*g - 10 = -r - w*g, -4*r - 3*g = -4. Is (1 - -1)*(-53)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 189338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**2. Let z(n) = 3262*n**2 + 3348. Determine z(i(r)).\nAnswer: 394702*r**4 + 3348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 963, 3826, 8595, 15270, 23851?\n\"Answer: 953*f**2 + 4*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -216. Let a = x + 98.08. Round a to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2469549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 10:30 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 5)*(2 - 3 - 3) + 0 - 6 + 3)*(-3*c - 1 + 1).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6. Let g(z) = 228*z - 120. Let l(w) = -g(w) + 12*y(w). Find the first derivative of l(x) wrt x.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k + 1. Let v be r(1). Let c be 5\/(15\/v) + -2. What is the tens digit of 508\/16 + c\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/549*((-27)\/24)\/3*(-1288)\/161.\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79804216.15201 - -79805169. Let p = 952.26 - c. Let s = 0.593 + p. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 15 = -o + i, 2*i = 5*o - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96377 is divided by 2049?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1\/3*4. Suppose -5*q + 12 + 8 = 0. Factor -g + 3*l**3 + 4 - q*l**2 + 2 - l.\nAnswer: (l - 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.7. Let b = 0.2 - t. Let y be 10\/18*2\/5. Is b less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 23. Let g = c - 43\/4. What is the closest to g in -2, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-4)\/(-8))\/1. Suppose -11*f + 2*f + 1116 = w. What is the greatest common factor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let b = n + 9. What is the remainder when 19 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -48. Suppose m = -2*s + 4*s. Differentiate 157*z - z**3 + s - 157*z with respect to z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1533 divide 214773300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 - m**2\/2 - 25*m - 30. Let a be r(6). Solve -2*w + w = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147387 divided by 182?\nAnswer: 147387\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135796 * -0.033.\nAnswer: -4481.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = -740143 + 740364 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1080\/24*(-8)\/8*20\/(-25).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 6:16 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) 3 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26945 is divided by 4070?\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 7 + (-3 + 3 - 1)*(2 - 5 + 4))*(5*c - 48 + 40 - 4*c)*(-4 + 0 + 6).\nAnswer: 10*c - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-60)*(-7)\/(-4) + 1. Let t = -5 + 19\/4. Which is the closest to -1? (a) 1\/3 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19126 divided by 3746\nAnswer: -9563\/1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*c + 2*g = 13, 3*g - 19 + 5 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 3\/((-2)\/2). Let l be (-68 - 59241\/(-882)) + 1\/3 + 1. Find b, given that -3\/4 + 1\/4*b**w + l*b = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 25 = -5*s, -83*c = s - 78*c + 17 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/5*h**6 + 80*h + 1\/18*h**4 + 0*h**3 + 1\/5*h**5 + 0*h**2 + 4\/63*h**7 + 0. Factor f(i).\nAnswer: 2*i**2*(i + 1)**2*(4*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13228, -26313, -39306, -52207, -65016?\n\"Answer: 46*c**2 - 13223*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1770.704.\nAnswer: 531.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v - 2. Let k(z) = -z. Suppose 7*g + 13*g + 120 = 0. Give g*k(w) + t(w).\nAnswer: -10*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*m\/(m\/(m**(-1\/7)*m*m))*(m**(1\/3)\/m*m*m)**(-12\/13)*((m**0)**10)**(21\/5) assuming m is positive.\nAnswer: m**(512\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348282883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/24 and 143\/481476?\nAnswer: 962952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225010\/(-7312825))\/((-212)\/(-210) + -1).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/9 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 228413.2mg in kilograms?\nAnswer: 0.2284132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 + -308. Let n = z - 164. Put 1\/5, n, -0.4 in increasing order.\nAnswer: n, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22388 and 20?\nAnswer: 111940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/30 + 78*f**2. Let r(b) = -5*b**2 + 3*b. What is z(r(t))?\nAnswer: -50*t**4 + 60*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-6 + (-9 - -1263)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9302026.6 and 874.\nAnswer: -9301152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61286156*j**3*k - 2*j**2*k + 2*j**2 - 47*j - 322722 wrt j.\nAnswer: 367716936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/12)\/((154\/(-21))\/(-11))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -294471625 divided by 321125?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/27 and -149\/179646.\nAnswer: 1616814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 66 = -5*l, -4*g - 8*l = -3*l - 339. Suppose 2*j - g = -61. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12049241 by 17.\nAnswer: -12049241\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.32815 days in microseconds?\nAnswer: 5557952160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -3 (b) 0.3 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 16. Let f be m(4). Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9316207.\nAnswer: 9316207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 - 5 = 0. Determine b so that -6 + 6 + 2 - 1 + 2*b**z - 2*b - b**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 - 9) - (55 + -62 + (1 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143426 is divided by 190.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2\/13)\/a*(a*a**(5\/8)*a)\/a*(a**(-5)*a)\/a*a**(-1\/4) assuming a is positive.\nAnswer: a**(-393\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-7)\/(-7) - -4)*-20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31110000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose -8 = 3*q - 5*q - 2*r, -r + m = 0. Suppose 2*z - 3*z + 25 = q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)*-1 - 13. Let p be (-8)\/w + 12\/(-21). Solve -k - 24 = -6*k - 2*y, p = k - y - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/14 + (-4)\/(-7)*1. Let x = -6.4 - -9.28. Let b = x - 2.8. What is the third smallest value in d, -1\/4, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 85*l + 372. Calculate the remainder when 1924 is divided by m(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {f: 3, b: 1, c: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/41 (b) -1 (c) 0.094 (d) -38\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*c - 40, -103*c = 3*u - 107*c + 26. Let f(g) = -6*g. Let x(h) = -6*h. Determine u*f(a) + 5*x(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164*x**4 - 21*x**3 + x + 2964640?\nAnswer: -656*x**3 - 63*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 - 1 = -g, 20 = 4*u - 4*g. Determine v, given that -2*v**3 - 3 - 8*v**2 - 3*v**3 - 15*v + 26*v + v**u = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -843.6 (b) 2805 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 55*d**4\/24 - 10*d**3 - 33*d**2\/2 - d - 58. Let a(p) be the second derivative of o(p). What is the derivative of a(g) wrt g?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 4*z**2 + 7*z - 2. Let b be x(5). Let v be 7\/((-21)\/12) + b. Solve 3*s = v*d + 2 - 1, s + 4 = -3*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 177 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*t**2 + 18*t**2 - 14*t**2)*(5*t - 5*t - 2*t) + 2*t**3 - 2*t**3 - 3*t**3 - 2*t**3 - t**3 + 5*t**3 - 2*t**3 - t**3 - 3*t**3.\nAnswer: 83*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 71\/2 (b) -77 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4 + 270*p**3 - 9803*p**2 - 31866*p = 0.\nAnswer: -3, 0, 47, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34205 + -34196. Let w(v) = -4 + 8*v - 11*v**2 + 0 + v - 11*v. Let s(k) = -22*k**2 - 5*k - 9. Give n*w(m) - 4*s(m).\nAnswer: -11*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.19 (b) -0.5 (c) 2 (d) 4\/3 (e) -2116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 31.8. Let x = 5 - 6. Which is the closest to h? (a) x (b) 1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 11. Suppose 3*n = 2*n + t. Let l = n - 3. Solve 4*z = 5*q - 3, -l*q + 6 = q - 2*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -112*t + 9246. What is the greatest common divisor of t and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7400 + -3184. What are the prime factors of t?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 21 = 3*y - 12 - 12, 206 = 2*y - 53*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4424985975 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7502 and -69\/16.\nAnswer: 60016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.06.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*a + 2*a - 21958, 0 = -3*x - 4*a + 32868. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 36*o**2 + 39*o**2 - 22*o**2 + 3*o**2 in the form p*o**2 + l + a*o and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94367520 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*(-1 - -1). Suppose 3*r - r = j. Let z be (1 + -1)\/(-2)*-1. Solve 3*w - x - 4*x - 18 = r, -w + x + 4 = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-930)\/14 + (15\/7)\/5. Let r be (-4)\/8 + g\/(-12). Solve -r*z = -10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 629035.7?\nAnswer: -188710.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfvvfmfvfffffvsms. What is prob of picking 2 s, 1 f, and 1 v?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618897.1 take away 77734?\nAnswer: -1696631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - 2*j + 2. Let s be b(-2). Let r(c) = c**2 + 1. Let h be r(s). Factor -3*t - 4*t**h + t + 2*t**5 + 4*t**3.\nAnswer: -2*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1366 - -1b?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 2*h**2 + 0*h**2)*((0*h + 0*h - 2*h)*(-h**2 + 4*h**2 - h**2) + h**3 + 0*h + 0*h + 60 - 60 + 9*h**3).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by -3?\nAnswer: 248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 19*o - 88. Let l = o + -26. Let n be ((-8)\/4)\/(l + 3). Solve f + f = -n*b, 2*b + 3*f - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 1, -2960.\nAnswer: -2960, 0.28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 + 9*o**2 - o + 6*o - 3. Let t(s) = 4*s**2 + 2*s - 2. Let v = -14 - -9. Let k(a) = v*t(a) + 2*z(a). Let h(n) = 4*n**2. Determine k(h(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9014900 + -3205800. What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -3*k, 4*k - r = k + 3. Solve 0 = 4*m - k - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.06 and -3?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*(-2814)\/(-92862)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656674859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 8*r**2 + 15*r - 25. Calculate the remainder when 522 is divided by i(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6261601 + -210?\nAnswer: -6262111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + 2 + -2 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 26*t**2 + 24*t - 9. Let l be a(25). Let u = l + 122. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1)\/(-2) - (-297)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9724*g - 19330. Determine p(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2, q - 58 = -5*r - 0*q - 52 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 63667*t. Let m(d) = -15*d**2. What is m(b(l))?\nAnswer: -60802303335*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 13*n + 5. Let g be o(7). Suppose g + 120 = 3*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 86337.\nAnswer: 1\/86337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 766, 1351?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -42. Let f be (t\/(-2))\/((-2)\/(-4)) + 3. Suppose 29 = 5*v + 3*b - 7*b, -4*v - f*b = -44. What is the greatest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let n be i(-7). Let c(r) = r**3 - 4*r**2 + 13*r - 13. Let s be c(2). Suppose -15 - 105 = -s*b. What is the highest common factor of b and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 60*b + 3. Let v be r(10). Suppose -3539 = -3*j + 5*u - 537, 3047 = v*j + 4*u. List the prime factors of j.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28608153762308 and -0.06?\nAnswer: 28608153762307.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/9*9\/54.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-30)\/45. Suppose 2 = 4*g - 7*g + 4*v, r = -2*g - v + 17. What is the highest common divisor of g and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.14799 to 2 dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1883, 1870, 1857, 1844?\n\"Answer: -13*p + 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45469 - 318277\/7. What is the nearest to 2 in -0.5, 3\/20, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/(-27) - 4\/18. Suppose y*s - s = 15. Suppose -s*d + 3*q + 12 = 5*q, -12 = -4*d - q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11095*o + 11095*o - o**2. Let p(k) = -3*k**2 + 24*k. Give l(p(t)).\nAnswer: -9*t**4 + 144*t**3 - 576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310 * -906118.\nAnswer: 280896580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7314045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 36*d + 363. Let z be s(-9). Solve z*w = 33*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Let r(b) = b**3 + 4*b**2 + 4*b + 3. Let k be r(f). Let m = 6 + -4. Solve -m*v + 1 - 9 = k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 18*g - 125 = 53*g + 17, 5*l - 7*g = g - 2*g + 34 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + x + 2*x = 68 + 149, -81*x = 2*v - 82*x + 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.35 and -248.210162.\nAnswer: -248.560162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4075168 is divided by 2330.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3868484182?\nAnswer: 2, 73, 26496467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:43 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1603399 + -884379. Let i = z - 282020. Round i to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/105*(-40)\/(-144)*6\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*x + 209*x - 75*x - 74*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 591496*p\/5 - 1182984\/5.\nAnswer: -2*(p - 295746)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485661 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268872243?\nAnswer: 3, 71, 1262311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1172, -46 in descending order.\nAnswer: 1172, 6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8879, 9, -1 in decreasing order.\nAnswer: 9, -1, -8879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341631 is divided by 329.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -475037 from 3268.\nAnswer: 478305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*o - 285*o - 158 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6664835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**5*x - 7*d**5 + 8*d**2*x - 9*d - x - 3 wrt d?\nAnswer: -60*d**3*x - 140*d**3 + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 2*g)*(3*g + g - 5*g) - 10*g**2 - 10*g**2 + 3*g**2 + (28 - 66 + 25)*(0*g - 2*g**2 + 0*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186633?\nAnswer: 3, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19479, 18952, 18123, 16992, 15559, 13824, 11787?\n\"Answer: -151*u**2 - 74*u + 19704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.007 + 0.107. Let i = -24.3 - z. Which is the nearest to -1? (a) i (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -2*u - r, -5*u = 2*r - 7. Let k be 1\/u - (-5)\/3. What is the remainder when (-26)\/k*(2 + -4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(6*1*(-16)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41297480 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) - sqrt(228)*3*6))\/(sqrt(147)*2*6 - -2*sqrt(147)*2).\nAnswer: 51*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2*6\/(-27))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 164*w**3 + 12*w**2 + 3*w + 1. Let y(o) = -164*o**3 - 10*o**2 - 3*o - 1. What is 5*b(l) + 6*y(l)?\nAnswer: -164*l**3 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one quarters of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/5 - 2176320*d**3 - 32644824*d**2\/5 - 32644832*d\/5 - 10881612\/5.\nAnswer: 4*(d - 2720403)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -1\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**0\/n))\/n*n*n**(-1\/3)*n**16*n**(-11)*n**(-3\/14) assuming n is positive.\nAnswer: n**(313\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)\/sqrt(4) + 0 + 3)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -356, -513, -652, -767, -852, -901, -908?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283339156 to the power of 1\/3, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8077 and 30\/19721.\nAnswer: 3885037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(18) + 4*sqrt(18)*-3))\/(sqrt(12)\/sqrt(2)*-2 + -2*sqrt(216)).\nAnswer: 22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose 168 - 116 = -15*a + 112. Solve 0 = a*f - b*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14896 in 9, 0.5, 6, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64335 (base 11) in base 5?\nAnswer: -10443241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27957373 is divided by 1723?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 315 - 1967. What are the prime factors of i?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 + 8*h - 8. Does 8 divide j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1125\/40 - (-12)\/4. Let b = v - 1217\/40. Calculate the common denominator of -59\/22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - (65 + 8) - (-1 + 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u + u**2 - 10 - 8*u**2 + 29*u + 36*u + 41*u.\nAnswer: -7*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 1\/4, -3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 - 5*j**4\/24 + 7*j**3\/3 - 15*j**2. What are the prime factors of m(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 - 129 = 0. Let m = q - -17. Let x be (-3 + (-16)\/m)\/(2\/6). Is x > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - (-8)\/5. Suppose x + 0 = n - 2, -p*x - 6 = 0. Calculate the least common multiple of n - (-2)\/((-4)\/(-42)) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -43, -1, -21, -49, 3 in descending order.\nAnswer: 3, 0, -1, -21, -43, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 8, -3*b = 4*h + 14 - 39. Suppose -c = b*c. What is o in c*o**2 + 1 - 5 + 2*o**2 + 2*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/8 + 314*y**2. Let n(l) be the third derivative of -3*l**4\/8 - l**2. Calculate u(n(t)).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - -0.257. Let x = -0.02424 - u. Round x to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804413 = 3*u - 10456087. What is u rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 11*r**2 - 17*r + 54. Calculate v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 2. Let f = -0.4 - -0.4. Let x = f + -3. Which is the biggest value? (a) 4\/3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 5732*o\/9 - 11392.\nAnswer: -2*(o + 18)*(o + 2848)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*(-6)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + 16\/10. Let n = 70.6 - 71. Which is the smallest value? (a) -0.1 (b) -0.3 (c) n (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by 2.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55134307 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215625*g**3*o**3 - 4*g**3*o + 544*o**3 + 2885*o + 64 wrt o?\nAnswer: -1293750*g**3*o + 3264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:45 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232 - 104. Suppose 0 = -4*p - 452 - g. What is the common denominator of 149\/6 and p\/16*(-18)\/(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 9*q**2 + 12*q - 15. Let c = 250 + -240. Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76869 + 2*i + 153743 - 8*i + 6*i - 76874 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -30 + 650. Suppose -r*v + 1137 = -59*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-304 + 304 + 50*m**2)*(-6 + 3 + 4)*(3 - 1 - 4) as o*m**2 + l + w*m and give o.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - 1.83. What is the biggest value in -8, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 6*t**2 + 6*t. Let a be r(4). Let i be (-116)\/a - (-3)\/6. Let y = i - -4\/15. Sort y, -0.1, 2\/5 in ascending order.\nAnswer: y, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*u + 126, 3*j - 2*u - 417 = 6*j. Let f be j\/((2 - 3) + 0). Let a = f - 32. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10064 is divided by 1139.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**3 - 200683240*m**2 - 2013688140844880*m = 0.\nAnswer: -20068324, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a factor of 439814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 662*i - 9082. Calculate r(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -0.09, -0.14, -0.4, -19, -1\/3, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 910.7 + -766. Let z = t + -144.69997783. What is z rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 692, 2406, 5278, 9308?\n\"Answer: 579*b**2 - 23*b + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2*c, -7 = -c - 3*a - 4. Let v = c + 2. Let k(p) be the second derivative of p**4\/4 - p**3\/3 - 44*p. What is k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.055, 0.093.\nAnswer: -3\/5, -0.055, 0.093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 1072 - 1012. Let i be 2\/3 - 163\/(-3). Calculate the highest common divisor of i and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 0.3. Let u = 5.85 - -0.15. Let y = u + -3. What is the nearest to y in 1\/2, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, n: 3, b: 3, y: 1, w: 2, s: 2}. Give prob of picking 1 p, 1 y, and 2 b.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - -66 - (1 + 11) - (-1 + 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 90. What is the lowest common multiple of 5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.008 (b) -3 (c) 7379 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o + 14 - 13*o - 6 + 18*o**3 - 6*o**2 + 2*o.\nAnswer: 2*(o + 1)*(3*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14*t + 7. Let j(x) = 14*x + 5. Let y(g) = -6*b(g) + 7*j(g). Let n(q) = 27*q - 13. Calculate 4*n(m) - 7*y(m).\nAnswer: 10*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 19*w + 4. Determine z(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (126364\/(-7))\/(-4) - 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-182))\/((8330\/442)\/(-35)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 24. Is q\/2*6556\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6333 is divided by 746.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 34*g**2 + 76*g - 71. What is the remainder when 447 is divided by s(36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13, 3, -1, 2, -3.2, -0.2004, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - 2*j)*(5 - 4 + 0) + 3*j + 13 - 13 + 0*j + 12*j + 0*j + (3 + 0 - 4)*(-18 - 2*j + 18).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-4)\/2 + 2. Let u = 107 - 533\/5. Which is the closest to -0.2? (a) -3 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -2*b, 5*b - 4*h = -19 + 14. Put b, -7, 6, -3 in descending order.\nAnswer: 6, b, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 2352*z**2 - 28623*z + 26268.\nAnswer: 3*(z - 11)*(z - 1)*(z + 796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (4 + sqrt(32))) + -3 + sqrt(98) + 0 + sqrt(98) + sqrt(98) + -4.\nAnswer: -11 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)\/(p\/p**(2\/3))*p**(-1\/4)*p*p**(-2)*p)**(17\/5) assuming p is positive.\nAnswer: p**(-391\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1461990916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/5 + 198*s**4\/5 - 602*s**3\/5 + 204*s**2\/5 + 601*s\/5 - 402\/5 = 0. Calculate s.\nAnswer: -201, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + (-2)\/6. Let q = -686 + 462. Let j = 893\/4 + q. Which is the nearest to l? (a) -3 (b) -5\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))\/g)\/g)**(18\/7)\/(g\/((g*g**(1\/2)\/g)\/g))**(12\/5) assuming g is positive.\nAnswer: g**(-306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2095, 8339, 18743, 33307, 52031?\nAnswer: 74915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 o when three letters picked without replacement from {i: 4, w: 1, j: 3, v: 1, o: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 51314304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g - 8 = 0. Suppose g*d = 4*d. Suppose 5*q + l - 19 = -3, q - 2*l - 12 = d. Solve -q = -5*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 136*u**2 + 11*u - 19. Let d(r) = -137*r**2 - 13*r + 23. Determine -5*d(h) - 6*v(h).\nAnswer: -131*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6) + 2090\/(-6))\/1. Let q = x - -392. What is the remainder when 259 is divided by q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-16) - (-1 - 1617\/56). Calculate the greatest common divisor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -29*x - 11. Let o(s) = 7*s + 3. Let c(l) = 9*o(l) + 2*z(l). Let q = -8 + 11. Let p(h) = 14 + q*h - 8 + 3*h. Calculate -5*c(k) + 4*p(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 896\/840 - 392\/(-168)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 - 2 = 0. Let z(t) be the first derivative of 2\/3*t**3 + 0*t + 0*t**4 - 2\/5*t**5 + 2 + 0*t**q. What is the third derivative of z(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose c + r = 23, -d*r = -1 - 2. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc1 + -12?\nAnswer: 5bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -64. Let f = -24 + q. What is the smallest value in f, -2\/11, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i**2 - 9*i**2 - 4*i**2)*(-8*i + 8*i - 2*i**2 + (2*i + 0 + 0)*(0 - i + 0)) + (-8*i**3 + 4*i**3 - 7*i**3)*(5 + 2*i - 4 - 2).\nAnswer: 114*i**4 + 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*v + 8 = 0, 0 = -4*f + 7*f + 5*v - 16. Factor f*i**3 - 20 - 12*i**2 - 4*i**2 + 120*i - 86*i.\nAnswer: 2*(i - 5)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 44. Let r be o\/(-12) - 4\/6. What is the derivative of -2*d**2 - r - d**2 + 9 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 30, 25, 2, -45, -122, -235, -390?\n\"Answer: -w**3 + 14*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*g - 3*g. Let n(z) = 0 - z + 3*z + 2 + 5*z. Give n(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b = -20. Let n be (-654)\/(-14) - b\/14. Suppose 0 = k - n - 2. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 50414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-12 - (8 + -7 + 4 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/35)\/(-2 - 3\/21). What is the third biggest value in w, -4, 2\/7, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (479*m + 3*m**2 - 2*m**2 - 408*m)*(3 - 3 + 2)*(-1 + 1 - m + (-1 - 1 - 2)*(2 - 2 + m)).\nAnswer: -10*m**3 - 710*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1, -3\/8, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 628 = 4*r - 0*g, 2*g = 0. Let u = r + 645. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-64)\/(-6))\/(19\/1881)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*i**3 + 0 - 6\/5*i + 4\/3*i**2.\nAnswer: -2*i*(i - 9)*(i - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {y: 5, i: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40275 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/12)*x**(5\/4)*x)**(-23)*(x**0)**(-49)*x**(-2\/9)*x\/(x**7\/x) assuming x is positive.\nAnswer: x**(-1405\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*f = 5755, -13*s + 9*s = -2*f - 11438. Calculate the remainder when s is divided by 205.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 31 = 5*n. Let f be 3 + 6\/9 + (-328)\/96. Which is the second smallest value? (a) f (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6*z - 2*r - 19, 2*r = -3*z - 1. Let v(x) = x - 2. Let d(u) = -u + 3. Give z*d(n) + 4*v(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4, 2*w - 2*n + 3*n + 11 = 0. Let s(i) = -5*i - 5. Let p = 18 + -10. Let o(t) = -3*t - 3. Let d(b) = p*o(b) - 5*s(b). Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*a, 0 = -4*z - a + 2*a + 13. Let f = 3 - -1. Solve 0*t = -f*p + 4*t - z, 3*p = 5*t - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 2. Let m(n) = -4*n - 3. Let d(f) = 3*l(f) - 2*m(f). Let k(c) = 42*c**2. Determine k(d(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 23 = 2*q, -226 = 2*u + 37*q + 97 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 90. Give o(-17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/9)\/((y*y*y\/(y*y*y\/(y\/(y*y**(-1\/7))*y)*y))\/y))\/(y**(1\/3)*y\/(y\/y**0)*y*y*y) assuming y is positive.\nAnswer: y**(-163\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (30 - 10) + (-10 - -6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 108. Which is the nearest to -2? (a) -0.3 (b) 1\/2 (c) 0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7*u - 3052 = -9*u, -4 = 2*u. Let r = v + 777. Calculate the remainder when 43 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3115*p**3*w**2 + 61*p**3*w - 3*p**3 - 11*p**2*w + 2*p*w wrt w?\nAnswer: -6230*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 - 2*l + 13. Let t be b(3). Let i(c) = 8 + t*c**2 - 2*c**2 - 4*c**2 - 2*c**2 - 6*c. Calculate i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**2 + 3*n - 6. Let u be z(-5). Let o = -97 + u. Suppose 2*t - o = -0*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2018.285 (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373113050 and 400?\nAnswer: 2984904400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 13 + 48)*(-12*l**4 - 4 + 6 + 1) to the form d*l + w*l**2 + j + x*l**3 + b*l**4 and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*3 - sqrt(8)) + -2*sqrt(512))\/(3*(sqrt(576) - (sqrt(576) + (sqrt(576) - sqrt(576)*-2 - sqrt(576)))) - sqrt(576) - -1*sqrt(576)*-6).\nAnswer: -19*sqrt(2)\/156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 2964528.\nAnswer: 14822640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1368*y**4 - 2*y**2 + 688*y. Let w(g) = g**4 - g**2. Let t(r) = o(r) - w(r). Find the third derivative of t(v) wrt v.\nAnswer: -32856*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1824 and 596832?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let w = -121.5 + 104. Let x = w - -4.5. What is the nearest to -1 in n, x, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32350, 64698, 97044, 129388, 161730?\nAnswer: 194070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -330, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360 is divided by 143.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 + 9*v + 44*v**2 - 9*v**2 - 19*v**2 to the form u*v**2 + x*v + y and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/5 + 1516*s - 561680 = 0?\nAnswer: -4130, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 7*m - 4. Let n be l(-6). Suppose -h - d = 1, -3*d - 2*d + 20 = 0. Let b = -3 - h. Solve -b*j - i = n*i - 7, j - 4*i = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21514 bigger than 21604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 5\/2 - 54\/12. Let x = -2 - -1. Sort -5, x, 2, k in ascending order.\nAnswer: -5, k, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*g - 0 - 2, 4*g + 8 = 4*z. Let s = 217 - 204. Suppose s*l - 4 + 4 = 0. Solve -2*d - d - z = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1221664 and 534478?\nAnswer: 8551648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/120 - 11*l**4\/12 + 26*l**3 - 170*l. Let w(g) be the second derivative of z(g). What is w(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32231\/84 - -2634\/7. Calculate the common denominator of -31\/118 and m.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14314 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 6*x + 5. Let a = 1613 - 1608. Let y(l) = 5*l**2 + 7*l - 6. What is a*y(h) + 6*n(h)?\nAnswer: -5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -9*w**2 + 148*w - 104. Let n be k(8). Factor -39\/4*p**3 + 12*p**2 + 9\/4*p**n + 0 - 3*p.\nAnswer: 3*p*(p - 2)**2*(3*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.35 + 4.3. Let y = 3 + k. What is y rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17*y - 56 = 0. Let a(h) = 7*h**3 - h**2 + 3*h + 11. What are the prime factors of a(y)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 10. Let x be u(11). Suppose -5*o - 6 = -k - o, 2*o = -2*k + x. Let g = k - -2. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2468*f + 2468*f + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1019 + 12304. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y**2 + 1310914*y - 1310914*y.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -39*u**3\/5 + 16086*u**2\/5 + 8673*u\/5 = 0.\nAnswer: -7\/13, 0, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 - 150*d - 155 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.1 (b) -4 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433048 divided by 28?\nAnswer: 15466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 + 7*q - 6. Let v = -48 - -70. Suppose 4*n = -2*i + v, -2*n - i = -3*i - 2. Let k be g(n). Solve k = 4*u + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*y**2 - 6*y - 534*y**2 + 837*y**2.\nAnswer: 2*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 314\/5. Let p be ((-121)\/(-484))\/((-5)\/4 + 1). Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -23. Suppose 3*s + 3 + 3 = -5*w, 4*s = -l*w - 8. What is the third derivative of w*a - 7*a**2 + 17*a**5 + 0*a - 9*a**5 wrt a?\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1477)\/2954)\/((6\/(-4))\/(-3))*20\/(-6).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 763*b**2 + 3 - 762*b**2 + 8*b**4 + 0*b - b**3 + 5 - 2 + 4*b to j*b**4 + v*b**3 + t*b + x + g*b**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(3\/(-6) + 1). Find the first derivative of -u*g - 1 - g - 3 + 5 wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738680013 to the nearest integer?\nAnswer: 27179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -605*v**3 - 108950*v**2 + 550625*v + 46250 = 0.\nAnswer: -185, -10\/121, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 16. Suppose 145 + 45 = 5*o. What is the remainder when o is divided by a(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 2*m**2 + 3*m. Suppose -i - 8 = -3*p, -3*p - 2*i = -5*p + 8. Let f be y(p). Is 2\/(-7) - (-2678)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1109*c - 174109. Calculate y(-157).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 28. What is v(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l**6 + 345*l**5*p**2 - 36*l**2*p**2 - l**2 - 25*l + 2*p**2 wrt l?\nAnswer: 1320*l**3 + 20700*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Suppose -35 = -9*q + 4*q. Let f = q - r. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2760 and 13730760.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 696 - -1?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -13099, 0.1, 4, -388 in ascending order.\nAnswer: -13099, -388, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.49 to the nearest integer.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1312323 (base 4) to base 2\nAnswer: 1110110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-52)\/(-10))\/(7791\/(-265)) and 28\/33.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -291, -577, -853, -1113, -1351, -1561?\n\"Answer: h**3 - h**2 - 290*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) -0.5 (b) -3 (c) -6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -72, -50, -8, 60, 160, 298, 480?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -6)*-1 - (-287 + 300)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 2*s**2 - 2*s - 13*s to j + k*s**2 + v*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-26 + 16). Let g be (2\/t)\/((-102)\/(-10)). Is 0 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*x**2 + 9\/5 - 3\/5*x**3 + 3*x = 0. What is x?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-2)*(-4)\/5. Let x = 21 + -20.8. Which is the nearest to 1? (a) x (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - s - 0*s + 11, 4*s = -3*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.7. Let q be ((-3)\/4)\/(-33 + 36). Put m, q, -0.4 in decreasing order.\nAnswer: m, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 205. Let k be z(-35). Suppose 0*a + 4*a = 2476. Suppose -4*h - k*y + 925 = 0, -5*h + 3*y = a - 1803. List the prime factors of h.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838.852 nanometers in micrometers?\nAnswer: 6.838852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, -12215 in decreasing order.\nAnswer: 1, 0, -3, -12215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and 0.3935768?\nAnswer: 0.4735768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1662 = 10*g - 8*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543212*j**3*m - 814*j**2 + 103*m wrt j.\nAnswer: -3259272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*p**3*w - 18*p**2*w - 36*w - 1 with respect to p.\nAnswer: -30*p**2*w - 36*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3639181 and 609?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 1105*m**2 - 39995*m - 1023825.\nAnswer: -5*(m - 165)*(m - 73)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793115 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 22*b**2 + 12*b**2 - 33*b**2. Let z(a) = -3*a - 2. Give t(z(l)).\nAnswer: 9*l**2 + 12*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-160)\/72)*((-60)\/9)\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*u + 2. Let s(n) = -n - 3. Let f be s(u). Solve -f*j - 22 = -4*i - j, -3*i + 2*j = -19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31790192 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857858628.\nAnswer: 2, 19, 31, 229, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-16)*12\/(-66)*(-14)\/8.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 + 145 + 323)*(c + 2*c - c)*(-2 + 0 + 6).\nAnswer: 2328*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/36 + 4223\/9. Let n be q\/28 + (-3)\/4. Suppose 0 = 41*i - 212*i + 513. Solve -x - 3*x - n = -z, -i*z = 3*x + 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.1. Let b(o) = o - 1. Let k be b(-3). Sort -2, k, z in descending order.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301328 divided by -112\nAnswer: 11619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.79 - 0.89. Sort 8, -4\/7, -5\/4, u.\nAnswer: -5\/4, -4\/7, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186312317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/24 + 3*w**3\/2 - 2*w**2. Let u be d(-6). Solve 0 = u*i + 9, 4*o = 3*o - 2*i - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/60 + 7*h**5\/6 + 323*h**4\/12 + 289*h**3\/3 - 32*h**2. Solve s(o) = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 66 (b) 4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 o, and 1 h when four letters picked without replacement from {o: 4, h: 2, s: 7, a: 3, p: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/39 in -5, 2, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33910.\nAnswer: 2, 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 1\/4*d**4 - 2*d**2 + 0*d**3 + 0*d - 5. What is the second derivative of j(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 - 6. Suppose 10 = -4*j - 5*l - 10, -20 = j + 5*l. What is the second biggest value in n, j, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -46?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 (base 11) in base 10?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 480*r**3 + 28800*r**2 - 768000*r + 7680000.\nAnswer: 3*(r - 40)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/3))\/(v\/(v*v*v**(1\/2)*v)))**(-19))**(-2\/9) assuming v is positive.\nAnswer: v**(475\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139440\/2499 + -52 + (-4)\/(-68)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2240 divided by -1992\nAnswer: -280\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-2)*(11 + -2). Let t(m) = -m + 11. Let k be t(0). Calculate the highest common divisor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 2*l - 6. Let h be b(-4). Suppose h*o - 3 = 1. Suppose -7 - 5*m**3 - 4*m**4 - 2*m**2 - 3*m**5 + 7 + o*m**5 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -410, -398, -386, -374, -362?\n\"Answer: 12*w - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -874, -1939, -3018, -4111?\n\"Answer: -7*t**2 - 1044*t + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3*t**2 - 320*m**3*t - 74*m**2*t**2 + 45936*m**2*t - 600607*m*t**2 wrt t?\nAnswer: -8*m**3 - 148*m**2 - 1201214*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 26. What is the third derivative of 2*f**2 - 17*f**2 - p*f**4 + 12*f**2 + 15*f**2 wrt f?\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + r**2 - 3*r**2 - 1 + 3*r**2. What is the remainder when t(6) is divided by 48\/(2 + 1) - (6 - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -25*v**2 - 778*v - 4604. Determine l(-6).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/57120 and 59\/1120?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363272789?\nAnswer: 11, 5273, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78521533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h\/((h*h**12*h)\/h)*h))\/(h*h\/(h*h\/(h*h**(3\/2)*h))))\/(h**(-7)*h*h*h*h**(-1\/7)) assuming h is positive.\nAnswer: h**(149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48835530 and 0.35.\nAnswer: 48835530.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*29\/((-2320)\/32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 947*x**3 - 881*x**3 - 937*x**3 + 2767*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -1)\/((-6)\/12). Solve -3*m + p = 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637849968 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54251 - 206*z**2 - 91*z**2 + 54239.\nAnswer: -297*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1468928, -2937873, -4406818, -5875763?\nAnswer: -7344708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9795? (a) -2 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1365744?\nAnswer: 4097232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 25 - 59*k**2 + k + 40 + 21.\nAnswer: -59*k**2 + k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 11*v + 10 = 0. Let b = 20 + -5. Suppose -c + 2*c = v*l - 12, -c - 4*l = -b. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 1 - 2\/3*k**3 + 3\/2*k**2 - 3*k - 1\/12*k**4. Let w(g) = -6*g**2 - 21*g + 16. Calculate -11*s(y) + 2*w(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) - 5\/3. Find the common denominator of (3 - w) + 1 + (-24)\/(-15) and 183\/(-4)*(-2)\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Suppose -m = -t - q*t, 0 = -2*t - 2*m + 4. Let v = -67\/4 + 729\/44. Which is the second biggest value? (a) t (b) -2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -188. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 + -56881099.68.\nAnswer: -56881145.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/5 + 51726*h**2\/5 - 7230708*h + 6275273288\/5 = 0. What is h?\nAnswer: -52418, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let y be w(4). Let t = 16 + -14. What is the second derivative of -2*u**y - t*u**3 + 3*u**3 - u - u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20. Let c(y) = -7. Let v(u) = -17*c(u) - 6*d(u). Let n = 28 + -32. Let f(x) = x + 4. Let h(r) = n*v(r) - f(r). Let p(t) = -2*t**2. Determine h(p(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 62*h**4 - 5*h**3 - h**2 - 28*h - 3. Let o(a) = a**3 + a + 1. Let w(g) = n(g) + 5*o(g). What is the second derivative of w(q) wrt q?\nAnswer: 744*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4655 - 1?\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4441 or -4419?\nAnswer: -4419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vvovoov?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2235 - -262?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1038 + -123500?\nAnswer: -122451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 11*u. Let a be i(7). Let l = 74 - a. Calculate the remainder when 18 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1527993 times 2\nAnswer: -3055986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.347314ng to micrograms.\nAnswer: 0.008347314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 3*h - 5. Let j(k) = -4*k**2 + 5*k + 7. Let o(u) = -5*j(u) - 7*t(u). Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257510 is divided by 541?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1331)*1*-1 - sqrt(1331)).\nAnswer: -22*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 15*h - 45. Let p be s(-5). Suppose p*j = j - 5*i + 2885, 2*j - 4*i - 1436 = 0. Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(5 - 12 - 6)*(-2*n**5 + 3*n**5 - 3*n**5 + (2 - n**3 - 2)*(2 - n**2 - 2) + 10*n**5 - 20*n**5 - 4*n**5).\nAnswer: -390*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64371423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 3*h**4\/4 - 2*h**3 - 23*h + 1. Let l(v) = 2*v. Determine b(l(w)).\nAnswer: 36*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 2*u + 52, -3*k + 144 = 3*u. Suppose 0 = 5*b - 26 - k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 2*o**2 + 4*o + 9. Let y(s) = -7*s - 4. Let t = -18 - -16. Let x be y(t). Is l(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 20. Let c(b) = -10 + i + b**2 + 4. Let z(m) = 3*m**2 - 7. What is 7*c(o) - 2*z(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9*n = 0. Let t(m) be the first derivative of n*m + 0*m**3 + 7 + 6\/5*m**5 + 1\/2*m**2 + 0*m**4. What is the second derivative of t(h) wrt h?\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 12*f = 14*f + 12, 14 = 2*a - 3*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**2. Let g(k) = 4*k**2. Calculate g(c(x)).\nAnswer: 256*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 - -299. Suppose w = 3*j - b + 3 - 7, -5*b = j + 20. Solve -2*l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 82. Let u = 25 + o. Is -19 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*b + 4, 0*b - 3*b = a + 4. Suppose -2*p - 432 = -3*k + p, -k - 5*p + 156 = b. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 divided by 170620?\nAnswer: -77\/42655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-22) + 11\/121. Which is greater: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o + 2767 - 619 = -121*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6055\/22 (b) -1\/36 (c) -2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.3 + -31.18. What is m rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 145 = 715. Calculate the common denominator of 5\/(-12)*r\/4 and -25\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309, 296, 283, 270?\n\"Answer: -13*r + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9459 + 23252. List the prime factors of x.\nAnswer: 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*p**2 - 2*p**3 + 2*p**2 - 5*p**4 - p - 4*p**2 + p**2 + 3*p**5 - 1.\nAnswer: (p - 1)**3*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1938455 * 0.5.\nAnswer: 969227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/720 + o**5\/40 - o**4\/6 + 5*o. Let f(u) be the third derivative of m(u). Differentiate f(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**6\/600 + 8*o**5\/75 + 19*o**4\/8 + 15*o**3 + 77*o**2 - 2*o - 32. Let v(c) be the first derivative of s(c). Factor v(a).\nAnswer: (a + 2)*(a + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g + 4. Let y(z) = z + 1. Let x(f) = -q(f) + 3*y(f). Let r be x(2). Let n(p) = -p**3 - 2*p**2 + 5*p + 4. Let b be n(r). Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let m = -6.09 - -0.09. Let s = -9 - m. Which is the third smallest value? (a) p (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:39 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -186, -257, -326, -393?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374424743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0*p**5 - 11*p + 0*p**3 + 0 - 7\/30*p**6 + 0*p**4 + 5\/2*p**2. What is the first derivative of b(o) wrt o?\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579814278 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a - 2*a**5 + 21*a - 4 - 2 + 5 + a**2 wrt a?\nAnswer: -40*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19055 is divided by 908.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 84 + 0*y**3 - 7*y**2 + 8*y - 79 - y**3. Let s be l(-10). Calculate the highest common factor of 45 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8*y + 24. Which is the nearest to 0? (a) 2 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 211.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3 - 2141685*k - 2158466?\nAnswer: 6*k**2 - 2141685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*h - 135*h - 32. Put -1, -78, h in ascending order.\nAnswer: -78, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21410271*-0.2\nAnswer: -4282054.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3954*b - 2326*b - 2482*b + 33306 = 0 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57350 * 10\nAnswer: -573500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004317508691 rounded to six dps?\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjd when three letters picked without replacement from ntjfjndjdnn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10444 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202 + 16. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -107618?\nAnswer: -107603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d + 1074 - 2548 = 2288 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a69a (base 14) to base 11.\nAnswer: 236401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -p - 370, -4*k + 4*p + 0*p + 312 = 0. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 6*j + 13*j - 36 + 2*j**2 - 4*j + 0*j**2 to the form b*j + u + t*j**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320012 + 13031?\nAnswer: -300321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 3*z + 2. Let r be s(2). Suppose l + 4 = 2*g, 3*l + 2*g = 4*g + r. Solve -3*o + m = l - 2, -o - 4*m = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1037780\/2943333 - -1\/14219. Let q be (0 - 3)\/(1 - -22). Let o = u + q. Sort -1\/5, o, 0.1 in decreasing order.\nAnswer: o, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.0954 * 1.\nAnswer: 2.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 89*d - 40755. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 0.3, -0.1, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3160*m + 1651*m + 1500 = -1609*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 7. Let w be 2 + (y\/(-1) - 2). Solve 5*h + 4*i + 25 = 0, 4*h + 9 = -4*i + w*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14162 - 8086. Let v be (h\/52)\/1 - 2\/(-13). What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 54*n**2 + 355*n - 428. What is z(-60)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15339564*j**3 + 16*j**2 - 13*j + 2050 wrt j.\nAnswer: 92037384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 3}. What is prob of sequence iii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 15*k**2 - 15*k + 26. Let s be r(14). Suppose 32 = -11*j + s*j. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + -10 - (-8 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2. Let m(w) = -4*w - 84. Let l(u) = -m(u) + 4*y(u). Calculate the remainder when 164\/9 + 4\/(-18) is divided by l(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24404 - -325350?\nAnswer: 354154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((4\/(-3))\/(22\/(-33))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 99 = 3*v. Let g be (-78)\/(-2)*63\/189. Solve -3*h + 9 = -4*w, -g + v = -5*w - 5*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 141 = 11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -329000 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 24. Suppose -1088 = 2*g - 70*g. Suppose g + p = y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24420618 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3871, 15492, 34863, 61984, 96855, 139476, 189847?\nAnswer: 247968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -65, 128, 4 in increasing order.\nAnswer: -65, 3, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16257 (base 8) in base 9?\nAnswer: -11058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-118.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 2 + 11*d**3 + 6*d**3 + 4*d**3 in the form u*d + n*d**3 + w*d**2 + v and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbdjjbb. What is prob of sequence jde?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c + 2. Let a be l(0). Let t(i) = 5*i**2 - 3*i. What is the least common multiple of t(a) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 + 40863*h + 3935484 = 0.\nAnswer: -13524, -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 0 + 2*p**2 + 3 - 4 + 2. Suppose -2*u - 2 = -10. Calculate the least common multiple of u and m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let j be y(-1). Suppose 0 = -j*m + 16 - 10. Suppose -4 = -m*s + 5. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.8 + -39971.\nAnswer: -39994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64601230 (base 7) in base 6?\nAnswer: -314055514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwzw when four letters picked without replacement from {b: 4, z: 2, w: 2, f: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 1 = -l, l - 35*u + 34*u = -11 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**37\/(j**(7\/2)*j*j*j) assuming j is positive.\nAnswer: j**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -9 - (-18 + -7)*67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, f: 9}. What is prob of picking 2 f and 2 s?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 - 8*c - 7. Let o be w(7). Let i = o - -107. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v**2 - 11*v**2 + 66 - 60 + 0*v**2 + 5*v**2 - 3*v**2 + (3*v - 4*v - v)*(0*v - 5*v + 3*v) as p*v**2 + q + x*v and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/24 + y**3\/6 - 8*y**2. Suppose 0 = 5*m + 7 + 3. Let v(x) = x**2 - x. What is m*j(u) + 2*v(u)?\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 1596*a - 176741. What is r(133)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 + 4*i + 2. Let r(w) = w**3 + w**2 + 4*w + 3. Let n(y) = -4*r(y) + 5*u(y). Give n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/4 and (18 - 13) + (-1055)\/230?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 322*n - 379*n - 57 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -q + 6*q, i = 4*q + 5. Suppose q = -5*b + 23 + 12. Suppose -3*l + 4*l - b = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/32 and 5\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvvobvjsoovddd. What is prob of picking 1 v and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9484 is divided by 4461?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)\/f)\/(f\/(f**(-16)\/f))*(f\/(f\/(f\/(f\/(f\/f**(-4\/9)))))*f)\/(f\/f**4) assuming f is positive.\nAnswer: f**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/14*(-770)\/1980*(-30)\/(-10)*-15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 0.494632.\nAnswer: -1.294632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/6 and 103\/2292.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 32. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428160.\nAnswer: 2, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, x: 3, c: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44355 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*d**4*q - 7*d**3*q + 3*d**2*q - 5*d**2 - 187*d*q wrt d.\nAnswer: 672*d*q - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25214555 is divided by 2521455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 377*p - 1503. Calculate b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/2)*q)**(-11\/4)\/(((q\/(q*q\/(q*q*q**(-5)))*q)\/q)\/(q*q**(4\/5)*q*q)) assuming q is positive.\nAnswer: q**(147\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 60*q + 3588.\nAnswer: -3*(q - 46)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*o*r - 32*i**3*o + i**3 + 1464*i**2*r - 4*o with respect to o.\nAnswer: -i**3*r - 32*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 45 - 16*f**2)*(41*f**2 - 6*f**2 - 3*f**2) in the form d + k*f**4 + s*f**2 + i*f + y*f**3 and give k.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t + 2*t)*(0*t**2 + t**2 + 2*t**2)*(1 + 0 - 3) in the form w*t**3 + g*t + j + o*t**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8967 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 114 = -3*m - s, 0 = -3*m + 3*s + 102. Calculate the remainder when m is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24 - 28 - 110*j + 110*j + 7*j**2. Let l(m) = -m**2. Determine t(l(y)).\nAnswer: 7*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = 4*m, -2*m - 77826*b + 77828*b = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 6:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 37*u + 232*u = -36*u + 1370. Determine z so that 0 + 0*z - 18\/5*z**4 - 8*z**3 - 24\/5*z**2 - 2\/5*z**u = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, u: 2}. What is prob of sequence uyu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v - 20*v + 3*v + 2*v**2 + 0*v**2. Let d(p) = 5*p + 2. Give d(f(o)).\nAnswer: 10*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187 or 1417?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**(-8)\/(p**(1\/2))**(-33) assuming p is positive.\nAnswer: p**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djcnccfjnjdjffjjdcn. Give prob of picking 1 n, 1 d, and 2 j.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3825 - 3555. Calculate the lowest common multiple of i and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m - 20 = -40*m. Let o(u) = -u**3 + 3*u**2 + 7*u + 9. Let j be o(m). What is the greatest common factor of j and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32897918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 28, -12, -4, -34 in decreasing order.\nAnswer: 28, 18, -4, -12, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*z**4 + 7871*z**3 - 8120208.\nAnswer: -360*z**3 + 23613*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 26456027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7710 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(9\/5)*v**(2\/21)*v*v assuming v is positive.\nAnswer: v**(409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:06 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 7234398\nAnswer: -7\/7234398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -1)*(21\/(-14))\/((-9)\/(-48)). Calculate the highest common factor of 976 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*n - 387*n - 184*n)*(-3*n**3 + n**3 + n**3 + 4 + n**3 - 4 + 2*n + n**3 - 2*n + (-n + 0*n + 2*n)*(-n**2 + n**2 + n**2)) + n**2 + n**4 - n**2.\nAnswer: -921*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.9? (a) 0.0386 (b) -6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1252095097 + -1252095397.00000416. Let g = 300 + a. What is g rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 24 = 4*n, -2*n + 15 = -2*d - 3. Is 184\/n + 8\/(-28) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840117.8 milligrams to micrograms.\nAnswer: 840117800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 15*k - 12. What is n(11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d*v**6 + 19*d*v**3 + d*v**2 + 38285*d + 20*v**5 wrt v.\nAnswer: 600*d*v**3 + 114*d + 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 3*i - 4. Let a be r(-4). What are the prime factors of (-1)\/(-1)*(2 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -211, 4.8, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/132?\nAnswer: -7\/132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 + 202*h**2 - 105*h - 104. Calculate the remainder when 206 is divided by u(-51).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 1140*w - 9936.\nAnswer: -4*(w + 9)*(w + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 0, 113, -1 in decreasing order.\nAnswer: 113, 9, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(1 + 0) + 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j - j - 202 = 0, -3*j - 161 = 4*n. Let f = n - -66. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229205?\nAnswer: 3, 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = -4 - 9. Is (116712\/(-42))\/g - 2\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*s**2 - 36*q*s*t + s**2*t + 22*s**2 - 2*s*t - 2*t wrt s?\nAnswer: -4*q + 2*t + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 2*u**3 - 2. Let r(i) = 95 - 301 - i + 109 + 97. Determine o(r(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {s: 5, f: 3, b: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 748, 790, 904, 1126, 1492, 2038, 2800?\n\"Answer: 6*w**3 + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10628073*j**3 - 25171664?\nAnswer: 31884219*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - d - 246 = 2*d, -4*b - 5*d = -950. Suppose s = 2*x - 58, 4*s = -5*x + 84 + 74. What is the highest common divisor of x and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19033764.\nAnswer: 2, 3, 1586147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-280)\/(-3) + 2\/3. Suppose -1713 - 9135 = -12*b. Suppose -w = 9*a - b. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -2, 10, 51, 5 in decreasing order.\nAnswer: 51, 10, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 32*s**2 + 17*s - 11. Let b(q) = 2*q**3 + 31*q**2 - 17*q + 9. Let h(c) = 4*b(c) + 5*o(c). List the prime factors of h(14).\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + 2 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 25. Let d be r(0). Let i = d + 57. Suppose -2*u + 3*n - 2*n + i = 0, -n + 87 = 5*u. What is the remainder when 65 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s - 129 + s**2 - 5688*s**5 + 4*s**4 + 5647*s**5 - 2*s**4 - 2*s**4 wrt s.\nAnswer: -820*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 9. Let d be i(-9). Let j = 143 - 138. Let r be 22\/(-8) - (-1)\/(-4). Put j, d, r in descending order.\nAnswer: j, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let o(g) = g**2 + 15*g + 1. Determine 14*l(r) - 2*o(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -838, -3417, -7716, -13735, -21474, -30933, -42112?\n\"Answer: -860*k**2 + k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863655.\nAnswer: 3, 5, 13, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 d when four letters picked without replacement from {l: 3, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 42*b**2 - 49*b - 29. Calculate the remainder when k(-20) is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 4*h + h + (1 - 2 + 0)*(h + 6*h - 5*h) + 4*h - 2*h - 4*h)*(-h**4 - 6*h - h**4 + 4*h).\nAnswer: 12*h**5 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 41*p = 9. What is the units digit of 11\/3 + (-3)\/p - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51743837.\nAnswer: 401, 129037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.81? (a) 1 (b) 0.04 (c) 554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 10. Let t be 50\/6 - (-10)\/15. Let k be d(t). What is the units digit of (k\/(-2) - 2) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -130.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173728671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 889914 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/13 - 488*b\/13 - 29768\/13 = 0.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from ppppppgg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 242 + 637*m + 7*m**3 + 4*m**3 - 637*m.\nAnswer: 11*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 170. Calculate the remainder when f is divided by ((-2)\/6)\/((-17)\/918).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 5. Let i(b) = -b + 11. Let f(o) = 2*o - 34. Let m(c) = -3*f(c) - 8*i(c). Give 3*m(x) + 8*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 592 - 351. List the prime factors of g.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(320)*-4 + 5)*3*-2)**2.\nAnswer: -11520*sqrt(5) + 185215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m - 8*m - 7*m)*(2*m**2 + m**2 - 2*m**2).\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 + 19*f + 1. Let i be a(-11). Suppose -47*c + i = -16*c. Suppose 23 = u + 3. Solve 0 = -c*h + h + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 7. Let p be (-5 - -2)\/(6\/8). Let b be v(p). Let z be (1 - (-2 - b))\/(-1). Solve -2*m = -2*c + 3*m + 21, 2*c - 3*m - 15 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1810*d + 1809*d + 36 = 18*x, 0 = -d + 2*x + 36 - 40 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 156 + 20 = 0. Suppose 2*v = -3*z - 2*v + r, -332 = -5*z + 3*v. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/19 - 75\/38. Let z = 11 + -10.7. Which is the third biggest value? (a) 1 (b) z (c) 4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:05 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3764108731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -60, -65?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z - 1. Let k be (-159)\/21 + (-6)\/14. Let v be s(k). Let j = 7 - 6.7. What is the second biggest value in v, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 3175, 1.\nAnswer: -5, 1, 3, 3175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**2 + 0*d**2 - 53*d**3 - 70*d**3 - 42*d - 5*d**2 wrt d.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 - 59 = -t, -4*t = -5*s + 97. Suppose a - s = -2. Let h = a + -12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((1 - 2) + 2). Suppose y*i = 4*i + 3, -3*i - 99 = -4*q. Suppose 2*f - 5*f = -q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-216)\/(-10))\/((-16)\/360). Let f = 511 + u. What is the remainder when (-2)\/5*(-2 + -153) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-378)\/1176*8\/(-21). Let a = -907\/196 - y. Calculate the common denominator of a and -23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 58. Calculate j(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -45*n**2. Let y(z) = 3*z. Let s(q) = -q**2 - q. Suppose 5*w = 6*u - 3*u - 17, 3*u = w + 13. Let p(f) = w*y(f) - 3*s(f). Calculate p(h(t)).\nAnswer: 6075*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i. Suppose -64*j + 16 = -60*j. Suppose 3*k - 7 = 2*v - j*v, -4*k + 13 = -v. Calculate u(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114993832, -114993834, -114993838, -114993844?\nAnswer: -114993852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6059246, -6059245, -6059244, -6059243, -6059242, -6059241?\nAnswer: -6059240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/2))**49 assuming z is positive.\nAnswer: z**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194.3*11.16.\nAnswer: 2168.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 193177209.\nAnswer: 772708836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3598 + -3535. Calculate the least common multiple of o and ((-84)\/(-20))\/(2\/10).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 2.8. Sort 0.5, 3\/7, s in decreasing order.\nAnswer: 0.5, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173859*r - 86926*r - 86928*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 - 3*i**2)*(-1 + 5 - 1)*(-3*i + 4*i + 3*i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:19 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 3*v + 387. Let i be ((-8)\/(-16))\/(1\/v). Let p = 157 + i. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-161)*-2 - (-18)\/14. Solve -6*s + u = -7*s - g, -2*u = s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*i. Let j be ((-20)\/35)\/((-68)\/714). Let u be i*(2\/j - (-1)\/(-3)). Solve 2*m - 8 = 5*l - u*m, -4*l - 7 = -m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31000 = -740*u - 35*u for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)\/1 - -3. Let x be c\/(-2) - (1 + -6). Let h = -4 + x. Is 0 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3 + 7) - (1 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*f - 150 + 228 - 139 = 0, 3*y - 6*f + 84 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4304*m**2 - 60*m**2 - 2*m + 759*m**2 + 0*m + 4*m.\nAnswer: 5003*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 1 = -3*i - 48*h, 10 = 5*i - 5*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 83*g**2 - 337*g + 3. Calculate a(-4).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411765462.\nAnswer: 2, 3, 22875859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -30. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17362632?\nAnswer: -1\/5787544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v**2 - v - 2. Let f be y(2). Let b = 21 + f. Let i = -161 + b. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 950*c**2. Let m(w) = 211761*w + 1. Give m(p(n)).\nAnswer: 201172950*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 12:48 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -u - 1, -u + 9 + 10 = h. Suppose 2 - 38 = -2*c. Let q = c - u. What is the remainder when 13 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2599, 2598, 2597, 2596, 2595?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98550979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:48 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 140 = 0. What is the highest common divisor of o and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5742 by 87.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 655326764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2 - 41*x + 4. Let p(f) = 45*f**2 - 212*f + 21. Let y(k) = 6*p(k) - 31*w(k). Determine y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*g - 11160 = 52*g - 257*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 292.8 and 0.216.\nAnswer: 63.2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -24. Suppose 4*c - 9 = h*c. Let p = 55 - 37. What is the greatest common factor of c and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*q - 4880872 = 0, -2*q - 2*q - 14642616 = 3*m. Let o = m - -10295711. Let x = o + -8524839. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21781045.\nAnswer: 5, 11, 13, 41, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - r - 94 = -2*a, -2*r + 142 = 5*a. Let c = -11 - -8. Calculate the remainder when (-1175)\/(-10) + c\/(-6) is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 44. Let l = -77.58 - 0.22. Let p = l + m. Round p to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(34)\/sqrt(2) - sqrt(17)) + -3 + (sqrt(153) + sqrt(153)*1)\/sqrt(9) + sqrt(17) + (-5*(sqrt(425) + sqrt(425) + sqrt(425)*-6))**2.\nAnswer: 4*sqrt(17) + 169997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 11*y**2\/2 - 26*y + 27. What is the remainder when o(8) is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(65) + 1*sqrt(65))*-4 + sqrt(65))\/((sqrt(720) - -3*sqrt(720) - sqrt(720)) + sqrt(720)).\nAnswer: -3 - 7*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1616 + -1513. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/(-116) + 615\/(-12). Is (-3)\/(9\/21598)*78\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 29 in increasing order.\nAnswer: 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f**(-23)*f)\/f))*f*f*f)\/f*f**(-12\/17)*(f\/(f*(f*((f*f**(-46))\/f*f)\/f)\/f)*f)\/(f**(2\/77)*f) assuming f is positive.\nAnswer: f**(33076\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 2 - (43 - (104 + -54)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1930*a**4 - 2*a + 759 wrt a.\nAnswer: 23160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -91c9?\nAnswer: 91d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 121*r - 2337. Let t be k(19). Sort 3, t, -5.\nAnswer: t, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.33 times 507?\nAnswer: 2195.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000164418 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 - (2 + sqrt(17) + 4).\nAnswer: -4*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/3 + 13*v**2\/2 + 4*v. Is 13 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:23 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 69233633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7189 is divided by 916.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -454 - -456. What is the tens digit of (p\/(-6))\/((80\/(-28575))\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4213599 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*r - 6 = -81*r. Let g(o) be the third derivative of o**4\/12 + o**3\/3 + 3*o**2. Determine g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 83*q - 119. Give v(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 4*q**4 + 3*q**4 - 2*q + 5*q**3 to the form d*q**4 + i + k*q**3 + c*q**2 + z*q and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-45) - (-128)\/480. Solve p + 5*f = -11, b = -11*p + 9*p - 3*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2765434 and 87\/10.\nAnswer: 13827170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0)*(0 + -7). Suppose -5*v = -v - c. Solve 4*o + 3 = r, v - 22 = -o - 5*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 78. Suppose 1652 = 46*r - l*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 20*s**2. Let f(i) = 18787*i. What is d(f(w))?\nAnswer: 7059027380*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 506*x**3 - 47558*x**2 - 97716*x - 1152 = 0?\nAnswer: -2, -3\/253, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -5 + (2 - 10\/(-2)). Let x(o) = o**3 - 3*o**2 - 4*o + 1. What is x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144861 - -210.8.\nAnswer: 145071.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 2*j\/9.\nAnswer: -2*j*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 90*x**2 + 3*x - 1546 + 1552 + 11*x**2. Let w be q(2). What is the highest common divisor of 26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -7934 (b) 1 (c) 2 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q. Suppose 4*w - 8*w = -4. Let r(i) = -i**2 + 4*i - 3. Give w*r(p) + 4*k(p).\nAnswer: 3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(0\/(-2) - (0 + 1)). What is the greatest common divisor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 11*z - 17. Let d be m(9). What is the remainder when 4\/(-6) + d + 980\/30 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5198076 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 4872*c**2 - 1134400*c.\nAnswer: 4*c*(c - 200)*(c + 1418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 0*b + b)*(-2 + 1 + 8) in the form j + u*b and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 34 = -x + g, -2*g - 34 = 5*x + 34 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-108)*(-12 - 540\/(-50))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 1:31 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(6\/5)\/c)\/c**(2\/27))\/(c**(-1\/2))**34 assuming c is positive.\nAnswer: c**(2447\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwwwrwwwww. Give prob of picking 2 w.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2 + 2. Suppose 44*i - 42*i + 12 = 0. Let x(v) = -v. Let z(d) = -7*d. Let a(k) = i*z(k) + 49*x(k). Give t(a(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*g**4 - 147*g**3 + 396*g**2 - 351*g.\nAnswer: 3*g*(g - 3)**2*(6*g - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22649 is divided by 781.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1865*s**3 + 214*s + 190*s**3 - 2*s**2 - 48*s + 257*s wrt s.\nAnswer: -10050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.271 + -0.729. What is the nearest to d in -5, -2\/23, -4\/7, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*m**5 - 6*m**2 wrt m?\nAnswer: 13680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/(-132) + 1177236\/432.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6404919*s**5 - 233280*s**2 - s + 5 wrt s?\nAnswer: -384295140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173319069?\nAnswer: 3, 47, 103, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -y - 14, 3*y + w - 2 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-222)*(-45)\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 3*h - 3. Let q be w(-2). Let g(d) = 4*d - 3. Let l be 8\/(-56)*(-8 + 1). Let v be g(l). Solve q = -4*m - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2002 and -0.3?\nAnswer: -600.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-1 - 2\/6). Let n be 27 - 22 - 186\/38. Let p = -0.38 + -0.02. Sort g, n, p.\nAnswer: g, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/156*(-3)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 88. Calculate the remainder when 0 + (-124)\/(-1) + y is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/1984, 54, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*n + 1299916 + 313120. What is the smallest common multiple of 2 and n?\nAnswer: 18124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (2 - 3)) + -45 + 69 + -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3349591 is divided by 242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -383 - -381. Sort 4, -72, t in decreasing order.\nAnswer: 4, t, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -2*u + 1950 - 1928, -u - 5*p = -11 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 55*m - 56 = -59*m. Sort -1, m, -5, 293, -4 in descending order.\nAnswer: 293, m, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3 + 34*h + 11. Let m(u) be the first derivative of p(u). Let a(r) = -2*r**2. What is a(m(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**3 + 3 - 12*h**3 + 6*h**3 - 6*h + 3*h to the form o*h**2 + j + c*h**3 + z*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 645860 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*x - 4586 - 10284 = -126*x + 8344 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101110 - -10000?\nAnswer: -1101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1015 + -13453?\nAnswer: -12435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 1.2. Let r = -2.9 + g. Let w = 2.9 - r. What is the nearest to -9 in -1\/3, w, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276094 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aikr when four letters picked without replacement from rkibhkrbiaia.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = 2*m - 31, 0 = m + i - 8. Solve -4*g - 8 = -2*o - 7*g, -3*o - m*g = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 112928.\nAnswer: 564640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9cd62 (base 14) to base 3.\nAnswer: -201101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - -8) + (-19 - (-34 + 11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 13*z = -12. Let k(h) = -7*h + 3. Let r(n) = -120*n + 50. Let x(b) = z*r(b) - 50*k(b). Let g(c) = -6*c. Calculate x(g(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.183 + -1.373. Let j = -1.2 - v. Let g = -0.00919 - j. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -12 + 10 + 7 + -4 + 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4146212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -20*f + 4256. Let k(i) = 9*i - 2131. Give 9*k(p) + 4*r(p).\nAnswer: p - 2155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105511352 (base 6) to base 10.\nAnswer: -1953428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5010 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*g**2 + 4)*(11610 + 11609 - 80*g - 23224).\nAnswer: -160*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**2 + 21*u + 121. Let f be a(-6). Solve 361*r - 24 = f*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + 45*o + 4 + 5*o + 10*o + 30.\nAnswer: 96*o + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 + 2*r**3 + 45*r**2\/2 + r - 68. Let a(x) = 0. What is x?\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*b + 19*b + 35*b - b + 3 in the form v*b + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p**2*r**3 + 140*p**2*r - 3*r**3 wrt r.\nAnswer: -42*p**2*r - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 10*c - 16. Let k be l(-8). Solve -y - 2*x - 1 = k, -2*y - y = -3*x - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-6)\/1)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-30))\/((-3)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*o + 4 = 0, -5*o + 14 = -3*b - 9*o. Put b, -80, 0 in increasing order.\nAnswer: -80, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**4 - 4*c - 5 + 12 - 7 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 8. Let i be l(8). Let m be (-3)\/(-1) - (0 - i). Factor -3*q**2 - 3*q**3 - 3*q**4 + m*q**5 + 2*q**4 + 4*q**4.\nAnswer: 3*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 9:54 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/6)\/(2\/45))\/(184\/92)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1170869 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 4. Suppose 3*r + 7 = 19. Let m be l(r). Solve -2*p = -4*d + 6, 2*d - 2*p = -6*p + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l - 14. Let h be g(-2). Solve h*y - 10 = -2*c, 5*y + 2*c - 7 - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s - 4*s. Find the second derivative of 12*a**s - 8*a**4 - a - a wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 20 + -3 - -97.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014 at most as big as 14012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - (-12)\/9). Suppose j + z*y = -j, -j + y = 0. Suppose -26 = -3*m - r, -3*r + 9 + 6 = j. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -703*c. Let s(p) = -28*p**2. Give s(h(k)).\nAnswer: -13837852*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92316 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 1907603209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21003 less than -139965574?\nAnswer: -139986577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 57846377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 - 11 - -3). Find l, given that 30*l**3 - 11*l + 11*l**5 - o*l**3 + 9*l - 2*l**2 + 56*l**4 + 21*l**5 = 0.\nAnswer: -1, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdvcdcvvdddvd. What is prob of sequence cd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -167 + 223 - (0 + (2 + -2 - (-1 - 8)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**2 - 309*h + 2665. Determine r(17).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/20 + (-17)\/(-5). Suppose -r*o + 9*o - 30 = 0. Suppose -o*g - 4*t = -19, -2*t - 7 = 1. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/6*5\/(-2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 4, -120, 3753?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + (-2)\/(-8). Let j = -43 + 47. Suppose d = -y*q + j*q + 9, -d - q = 1. Is d > 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let q be x(4). Let r(i) = -i**3 - 3*i**2 - 17*i + 39. Let j be r(2). What is the smallest value in -1\/6, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/((-1)\/42). Let t(l) = 36*l**4 - 21*l**3 - 21*l - 21. Let i(k) = 7*k**4 - 4*k**3 - 4*k - 4. Let p(y) = s*i(y) + 4*t(y). Factor p(j).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n + 2. Let x(m) = -m**3 - 5*m**2 - 5. Let h(y) = y**3 + 2*y**2 + 2. Determine n*h(a) - 2*x(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217.194 minutes in seconds?\nAnswer: 493031.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 781012 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2392159 greater than -2392175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10150, 20297, 30440, 40579, 50714, 60845, 70972?\n\"Answer: -2*j**2 + 10153*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 24*i**2 - i. Let l(t) = 2*t**2. Give z(l(b)).\nAnswer: 96*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 866848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 3, -495, -4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 180*d - 972.\nAnswer: -3*(d + 6)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.697816nm in meters?\nAnswer: 0.000000000697816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -186995 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.530049 rounded to 3 dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158 and 2294871.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(-21\/4)\/a)\/a)\/a*a)**(-8))**(-1\/48) assuming a is positive.\nAnswer: a**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 448366987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 5014 = 16438. Calculate the greatest common divisor of m and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 162 = 6*t. Let m be 3 + (1\/6 - (-100)\/t). Let r = 4 + -3. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-2)\/36*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 3*y**4\/2 + y**3\/6 - 2*y**2. Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*c = -2*c, 0 = 4*x + 2*c - 8. Let k(r) = r**3 - 2*r**2 - 4*r - 3. Calculate k(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 1) + -5)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26917, -53601, -80073, -106333?\nAnswer: -132381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101100010010110100100 + 10?\nAnswer: 1010101100010010110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 126 = 6*r. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - 19*z + 4*z + 2)*(-48 + 34 - 315)*(2*z - 4 - 1 + 2) to the form x*z**2 + g*z + u and give u.\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 18*s + 17. Let f be l(10). Which is the nearest to 1? (a) 5 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 2*b**3 - 3*b**3)*(0 + 0 - b)*(-10 - 5 + 12).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260 or -176653?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + r**3 + 8*r**3 - 4*r**2 + 4*r**2 - 16*r + r**4 - 11*r**3 in the form t*r**3 + i*r**4 + q*r + a + l*r**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 30. Sort y, 5, -1.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {e: 1, q: 2, m: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 6. Suppose -i - t = l, 2*l - 4*i - 2 - 6 = 0. Let p(m) = -15*m + 1. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.32 (b) -4 (c) -2\/15 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888320?\nAnswer: 2, 5, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -103318 (b) 0.9 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*n. Let x be (-1 - -9)*(-1 - -2). Let z = x + -8. Solve -q + n*q + 16 = z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.3 + -33.79. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 34682 = 200266. Suppose 5*t + 346 = l. What are the prime factors of t?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 3*t + 5*t)*(-118*t + 56*t + 2*t**3 - 131*t).\nAnswer: -6*t**4 + 579*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.98 rounded to the nearest integer?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(75) + -3)**2*-2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75354379?\nAnswer: 1291, 58369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d**3 - d**2. What is the tens digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325 + 458. What are the prime factors of x?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 36. Let m(u) = -u + 1. Let x(o) = 2*m(o) + q(o). Let r be x(11). Suppose -3*w - 12 = -3. What is the third biggest value in r, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + -2. Let c = -2 - m. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -3 - (250 + -253).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3 (b) -5 (c) -1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 37920?\nAnswer: 417120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(60)\/sqrt(2)*6 - 5*sqrt(90)\/sqrt(3))\/(sqrt(20)\/(sqrt(10)\/sqrt(5))*4)*3.\nAnswer: 3*sqrt(3)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 95?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**3 + 0*c**2)*(0*c + 7*c - 3*c) - 2 + 4*c**4 + 2 + (2*c**4 + c - c)*(1 - 2 + 0).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 69, 64, 59?\n\"Answer: -5*q + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = p - 5, 3*p - 25 = d. Let r(t) = t**3 + 13*t**2 + 23*t - 6. What is the units digit of r(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + 3 + -4 + -2955 + 3006.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9971.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-3\/20))**(3\/31)\/(((o*o\/(((o\/o**0)\/o)\/o*o))\/o)**34)**(-12) assuming o is positive.\nAnswer: o**(252969\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 10*l + 3. Suppose 2*c - 5*m - 23 = 0, -2 = -11*m + 13*m. Calculate r(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/2555405 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, p: 5, s: 4}. What is prob of picking 2 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272)*-1)**2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 336692.9 millennia in centuries?\nAnswer: 3366929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -82 + 88, v = -l + 15147. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5973*p - 162812 - 195568 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, -5, -46, 30 in descending order.\nAnswer: 96, 30, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (8 - ((3 - (1 - 10)) + -1))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -84, -1.6, 4 in increasing order.\nAnswer: -84, -7, -1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3249 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 442, 440, 426, 394, 338, 252, 130, -34?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*t**3*u**2 + 9*t**3 - 57*u wrt u?\nAnswer: 86*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268030 is divided by 78.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 8220980*u\/3 - 8448064020050\/3.\nAnswer: -2*(u - 2055245)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 9) in base 16?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**3*x**2 - 642*k**3*x + 38*k**3 + 60*k**2*x**2 + 4*k**2 - k*x**2 - 3*x**2 + 7*x wrt k.\nAnswer: 96*x**2 - 3852*x + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 4*q + 8, 3*w = q - 15. Let u(p) = 3*p - 5. Let r be u(w). Let n = -7 - r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20445 = 513*y - 11010 - 12000 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -36, -121, -280, -537?\n\"Answer: -4*g**3 - g**2 - 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 13. Let n be t(14). Suppose -g - 2*l = -8, 4*g - 5*l - n = 18. Let o = 24 - 3. What is the remainder when o is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-14)\/(g**(-3)\/g*(g*g\/g**3*g)\/g)*(g\/g**(4\/3)*g**7)\/(g**(1\/7)\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/t)**(-2\/59)*(t**1)**1 assuming t is positive.\nAnswer: t**(553\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*d**2 - 74537860*d - 29815140 = 0. Calculate d.\nAnswer: -2981514, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -9654, -2\/51, -4 in ascending order.\nAnswer: -9654, -4, -2\/51, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Suppose 0 = 5*l - m*r + 86, 2*l = 7*l - r + 74. What is the units digit of (-5)\/35 + (-212)\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) + -1*sqrt(171)*1)) - sqrt(171)))\/sqrt(9).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 - 235\/(-7) - (-3)\/7 and (-556)\/(-14) + 6\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24150 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 6*m)*(2*m**3 + m - m).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 - 3*b - 2. Let t be n(-2). Suppose 2*j = -0*j + t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-3)*27\/(-72). Is 0 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1524438 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 72*h**2 - 26*h**3 + 72*h**2 - 4*h**3 in the form z*h + q*h**3 + c + f*h**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*f - 14, 4*f + 14 = -5*m + 40. Suppose -t + 363 = m*t. Let j = 13 - 2. Calculate the greatest common factor of t and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q - 10. Let y be l(7). Suppose -m + 100 = -0*m. Let w = m - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*148\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107589411 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and 45.0536.\nAnswer: 45.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 6*o**2 - 2*o**2)*(0*o**2 + 5*o**2 - o**2 + (0*o + 2*o - 5*o)*(-3*o + o + o) + o**2 - 2*o**2 + 2*o**2).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1132 in 1\/3, -4, -5, 3, -0.14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 457533 and 36279.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*6\/48 - (-3388 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10461 divided by -2?\nAnswer: 10461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + -0.15. Suppose 33 = 5*h - 5*p - 72, 4*h - p - 69 = 0. Suppose h = -5*u - 4. What is the nearest to 0.1 in r, -0.1, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38866746\/7 or 5552391?\nAnswer: 38866746\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2*u**2 + 11208*l**2 + 44616*l*u**2 - 2*l - u + 1 wrt u?\nAnswer: -6*l**2*u + 89232*l*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -19. Solve r*f = 18*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5682 - -5686) + (-2 - -109 - (-2 + 4))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.17182 rounded to 1 dp?\nAnswer: -43.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3061241 or -3061240?\nAnswer: -3061241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68 - (-54 - 2) - -36\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 119. Let y(n) = 27*n + 593. Calculate 11*s(c) - 2*y(c).\nAnswer: c + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 81?\nAnswer: -29\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 23 = -5*u - 4*h, 8 = 2*u + h. Suppose u*q - 4 = 47. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -5, -4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*v = 161, 2*t - 2*v - 100 = 2*v. Let d = 48 - t. Suppose -5*o - 4*f = f - 235, -3*f - 188 = -d*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-995)\/32 + (-11532)\/(-123008)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qymku. Give prob of picking 1 y and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-5)\/(-10)*1)\/(2\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12003333 (base 4) to base 15\nAnswer: 7556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 19. Let r(h) = h**2 + 1. What is p(n) + 2*r(n)?\nAnswer: -n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 128*b - 59*b - 65*b.\nAnswer: 4*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-77)\/(-66) - (-73)\/(-78). Which is smaller: 11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-329)\/893*(2784\/126 + -22).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3649, -7329, -11037, -14773?\n\"Answer: -14*t**2 - 3638*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32844 - -32827. What is the fourth biggest value in 2\/3, -3\/8, 0.1, -2\/47, x?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112134215 rounded to five dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -4*r + 6*r - 4*o, 6 = -2*o. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/p**7)\/p)\/p**(1\/5))\/(p**0*p)**(-1\/67))\/(p**(-3)*p**4*(p\/(p*p*p**1))**(-2\/11)) assuming p is positive.\nAnswer: p**(-27817\/3685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 11}. Give prob of sequence yyyv.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1379712430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 + 211*24\/(-510). Let z = -3269\/170 - y. Calculate the common denominator of z and -56\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 5) + (-56)\/16 + 9)*196\/(-6)?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x)*(-35*x**4 + 124*x**4 + 64*x**4).\nAnswer: -153*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 135, -4, -0.05, 0.5, 31 in decreasing order.\nAnswer: 135, 31, 0.5, -0.05, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 7*c - 5. Calculate p(6).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmddmmwdd. What is prob of sequence dwd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5)\/c*(c\/(c\/(c**(1\/15)\/c*c*c*c*c)))\/c*c**(-20\/9)*c**(11\/3))**(-17) assuming c is positive.\nAnswer: c**(-1309\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 - 5*j**2 + 2*j**3 - 5*j + 2*j + 4*j**2 + 0*j**2 as b*j**2 + s + l*j + n*j**4 + w*j**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4581 - -4588. Which is the nearest to 1\/4? (a) -107 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3998*s - 2088*s + 13856*s)*(-2*s - 2 + 2)*(s - 1 + 1) to the form c*s**2 + g*s + v*s**3 + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Is (0 + -1 - n)*13 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -160300001 + 53 + -56. What is d rounded to the nearest 1000000?\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -848 + 1734. Suppose 4*g + 11 = -3*d, 0 = -0*g + 3*g + 15. Suppose d*q + f + 2294 = 0. Round q to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-2 + ((-4)\/4 - -7). Solve i*c - 1 = 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 - -347 - (22 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*k - 5*l - 14, -2*k = -3*l - 23. Let u = -2 + 2. Suppose -3*v + 2*v + 9 = u. What is the remainder when k is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 21 = -3. Let c = f + 9. Suppose 3*b + 2*b = -c, 4*b = -3*l + 2. Solve 0 = l*w - 3*w + p, -w - 3*p = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257440 is divided by 85807.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3525 - 1807. List the prime factors of h.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 529, 4, -7, 0, -30.\nAnswer: -30, -7, 0, 4, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070643 is divided by 6259.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 21*t**2 + 2*t + 142. Determine z(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**6 + 2*r**4 - 2*r**3 + 5*r**2 - 2. Let h(w) = w**4 - w**3 + w**2 - 1. Let d(x) = 2*h(x) - m(x). Find the third derivative of d(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28003 > -28000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 + 3*a + 5. Let f be v(-4). Suppose c = 2*c - f. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768\/896*28\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -24. Let r(o) = 14*o**2 - 4*o. Let s(n) = -15*n**2 + 5*n. Determine f*r(c) + 4*s(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 10. Let i be 2\/2 - x - -283. Suppose 3*f - 157 - i = -2*a, -5*f + 707 = -2*a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4364474 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30*n - 17. What are the prime factors of l(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p - 65*p = 353*p + 1352 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341713 and 13168397?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1184, -3, -21\/4, 3 in increasing order.\nAnswer: -21\/4, -3, 3, 1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-322)\/(-77) - (-6)\/(-33). Let z be ((-88)\/(-60))\/1 + d\/(-5). Which is greater: -1\/50 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1097842 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071 less than -615?\nAnswer: -614.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0021755 kilograms to tonnes.\nAnswer: 0.0000021755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 365*c - 4167. Calculate i(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4384139\/9 + 488691. Factor -p*h**2 - 128\/3 - 13000\/9*h**4 - 3808\/9*h + 1250\/9*h**5 - 7600\/3*h**3.\nAnswer: 2*(h - 12)*(5*h + 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33828 is divided by 139.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, c: 4, d: 4, t: 3}. Give prob of sequence oco.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -0*j + 5*j. Suppose -5*z + 19 = -j. What is the remainder when 16 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 436389*o. Let w(n) = 75*n**2. Determine w(z(c)).\nAnswer: 14282651949075*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -531*r - 536*r + 1 + 1064*r. Let h(n) = 2*n. Let p be (-3 - (2 - 3))*-2. Calculate p*h(b) + 3*d(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/600 + -5417\/305400. Let l = c + -1036\/4581. What is the second smallest value in l, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-90)\/(-4))*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192))**2*-3*-4.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-2)\/(-2))\/1. Suppose -2*f + 9*q - 4*q = -i, 0 = -4*f + 5*q + 7. Calculate the highest common factor of 21 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:17 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -91\/12631?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Suppose g*y - 2*b = 351, 235 = 2*y + 2*b - 3*b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:10 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*k - 56 = 0, 2*u + k - 31 - 16 = 0. Let c(h) = h**3 + 9*h + 2 - 15*h**2 + 4 + 6*h**2. What is the remainder when u is divided by c(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6080924 and -9?\nAnswer: 6080933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -2*m, -m - 9 = -2*m - 3*r. Let t(u) = -39*u**2 - 11*u + 7. Let i(p) = 46*p**2 + 12*p - 7. Let a(l) = -3*i(l) - 4*t(l). Is a(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 + 4*a**3 - 196*a - 11*a**2 + 197*a - 4*a**4 + 6*a**4 + 0*a**3 to the form l*a + j*a**3 + i*a**4 + b + s*a**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -513*r**4\/5 + 717*r**3 - 7653*r**2\/5 + 4527*r\/5 + 54\/5 = 0?\nAnswer: -2\/171, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 4*t + 9. Solve y - 5*r = 28, -16 = t*y + 4*r - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b = 74*b - 24. Let g(y) be the first derivative of 4*y + 0*y**2 - b - 4\/3*y**3. Differentiate g(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1 + 0\/(-3) + 0. Suppose -h*f - f + 24 = 0. Let a be 117\/52 + -1*2\/f. Solve 2*t - a = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377422601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let u(b) be the first derivative of 3*b**2\/2 + 6*b + 148. What is u(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706762591.\nAnswer: 421, 1678771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56699 by -1.\nAnswer: -56699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4452)\/249312)\/((-1)\/2632)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -0.1506488071\nAnswer: -3.8493511929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**3 + 31*y**3 - 3*y**2 - 77*y**3.\nAnswer: -90*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -251*x**4\/4 + 1823*x**3\/4.\nAnswer: -x**3*(251*x - 1823)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 39*w**3 - 23*w**2.\nAnswer: -39*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 0.5, 3.78, -0.2, 0.3, 3 in increasing order.\nAnswer: -69, -0.2, 0.3, 0.5, 3, 3.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17328521 + 73719479 = -19*j. What is j rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16844210, -33688421, -50532632, -67376843?\nAnswer: -84221054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*g + 19*g - 4*g - g**4 in the form z*g**2 + q*g**4 + b + v*g**3 + t*g and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 5381805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) 1\/7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 226887 * -0.4\nAnswer: -90754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -24, -154 in decreasing order.\nAnswer: -4, -9, -24, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5408039.\nAnswer: 7, 13, 67, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284999 is divided by 284982.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74783 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.598 + 0.038. Let c = -0.05 + f. Round c to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.81862ms to minutes.\nAnswer: 0.003996977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52942 rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 685054643 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -49*l. Let m(s) = -61*s + 72. Calculate u(m(n)).\nAnswer: 2989*n - 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 15825 and 3935\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/4 - -353\/60. Which is the nearest to 1? (a) 0.5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 40. Let w = k + -29. Let i = w + 54. Put -4, i, -1 in decreasing order.\nAnswer: -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -8 + -4 + 8. Is ((-3)\/(6\/92))\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -781787 - 0.1298295.\nAnswer: -781787.1298295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16112?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2677234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(sqrt(300)*-2 + -2) + (0 + sqrt(300))*1 + (sqrt(300) + 1 - sqrt(300)) + 3)**2.\nAnswer: 1540*sqrt(3) + 14821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-15) - (3 - 2). Let y = -0.06 + 3.06. Which is the third smallest value? (a) 3\/7 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 divided by 5?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7600 and 9310?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 282.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -2\/5, -153\/7, -3 in decreasing order.\nAnswer: -2\/17, -2\/5, -3, -153\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2. Let s(j) = -32*j. Give s(v(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.013 (b) 0.058 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18986)\/(-3))\/((-60)\/(-90)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + x = -26, -5*v + 96 - 69 = -2*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268928 + 137385 = 4342*s - 218639 + 199436 for s.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(8 + -10). Which is bigger: -66 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-4)*(-432)\/(-324))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:27 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c - 3. Let b be y(3). Let s = b - -27. Calculate the lowest common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -24. Solve -2 + x = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y + 205 = 337 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (141 - 5)\/8. Let z be x\/(-30)*((-25)\/30 + 0). Which is the third smallest value? (a) 4\/47 (b) -3\/7 (c) z (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-450))\/(16\/5)*4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from wwqwwwwqwwww?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 61, -0.5 in decreasing order.\nAnswer: 61, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -23?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*l + 255, 0 = 6*l - l. Suppose 0 = c + 5*x, 4*x - 1 = -c - 0. Suppose 0 = -c*z + 2*d + 270, 5*z - 2*d - 3*d = r. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -756107936.58365 - -765034866.6736518. Let j = z + -8927010.09. Let q = -80 - j. Round q to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.28406 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*u - 101, 0 = 2*k - 6*u + 4*u + 208. Let n = -75 - k. Is ((-214)\/5)\/((-12)\/n) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1837*r**2 + 3*r + 8. Suppose -q + 7 = 1. Suppose -2*m + q*m + 28 = 0. Let h be p(m). What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333441 (base 6) in base 7?\nAnswer: 144505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3666 by -78.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1121473*n**2*v + 7*n**2 + n*v + 120*n - 5937*v + 1 wrt n.\nAnswer: 2242946*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -30. Let j(w) = 2*w**2 - 58*w - 32. Let q be j(30). Suppose q = -4*t + 68. What is the remainder when l is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 2*o**2 - 3*o + 3. Let i be y(3). Let t(r) = 29*r - 9. Let w(z) = 80*z - 25. Let n(c) = -11*t(c) + 4*w(c). Calculate n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**8\/3360 - i**7\/840 + i**6\/720 + i**5\/120 + 7*i**3\/3 + 8*i**2 + 3. Let p(w) be the first derivative of z(w). Factor p(v).\nAnswer: -v*(v - 1)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*w + 423 + 2489, 0 = -5*x + 5*w + 3635. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3374, -3373, -3372, -3371, -3370?\nAnswer: -3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25829044.\nAnswer: 2, 6457261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/577, -37\/9, 767, 0?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/70*4*(-50)\/(-60))\/(-10)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + ((6*(sqrt(297) - sqrt(297)*-2))\/(sqrt(891)*-1))**2).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 47400.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 60*w + 891. Let q be v(-33). Sort q, -34, -5, 3 in ascending order.\nAnswer: -34, -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51447 or -46821?\nAnswer: -51447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 14*m**2 - 5*m - 58. Calculate the remainder when 1*1\/1 + 33 is divided by s(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 10. Suppose -3*b - 9 = -3*r, 0 = r - 0*r + 2*b - 3. Suppose -3*q = -4*v + 26, -21 = 3*v - 6*v + r*q. Calculate z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 11*w - 23. Let s be o(4). Suppose -s*l + k + 11219 = 2*k, 2*k + 8964 = 4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2749 take away -0.052?\nAnswer: -0.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/91 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 47. Let k be h(-8). Suppose -k*m + 16 = -56. Solve -2*o = -m - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from hhhrrhrh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370*i*j**2 - 221*j**2 with respect to i.\nAnswer: 370*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(242) + sqrt(242) + sqrt(242)*-1 + 5))**2 + (sqrt(72)*4)**2*6)*5.\nAnswer: 13750*sqrt(2) + 67935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6, 0*b - 9 = -2*q - 3*b. Let l(k) be the first derivative of 6 - 3\/2*k**2 + q*k. Let a(f) = 4*f. Give a(l(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -560, -841?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b04d (base 15) in base 2?\nAnswer: -1001000101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.03 - 0.03. Let v = -1.7 + l. Sort -1, 19, v in descending order.\nAnswer: 19, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 28*o + 4. Give m(3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.01736 litres?\nAnswer: 45017.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) - sqrt(567)*4.\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -21*2369\/(-2898).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/3 + 9410910*u - 13284784054215.\nAnswer: -5*(u - 2823273)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218 (base 9) to base 6.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3803417*b**3 - 10387701*b wrt b?\nAnswer: -22820502*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + 12. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -2*i**3\/3 + 23*i**2\/2 + 13*i. Let t be g(5). Suppose k + 208 = t*k. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549247.3 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - -11) + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326597?\nAnswer: 3, 229, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 + 4*n + 3. Let k be u(-4). List the prime factors of k\/(-15) - 996\/(-30).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 805, 792, 779, 766?\n\"Answer: -13*k + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -90*r + 3. Calculate h(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32 and 89\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 12) to base 4.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4777 * -3\nAnswer: 14331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(2\/21)*d\/((d*d**3)\/d)*d*d*d\/d**5 assuming d is positive.\nAnswer: d**(-424\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(((-1524)\/(-2794))\/(27\/33))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4 = -t, 3 = 5*t - 4*w + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34, 10836, -15 in increasing order.\nAnswer: -15, 3, 34, 10836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 11213094.\nAnswer: 13\/11213094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 211199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10661*h**3 - 3 + 18318*h**3 - 2*h**2.\nAnswer: 7657*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x*x*x**(-36)*x*x*x)*x)\/x)**(-5\/4))**(-44))**(-29) assuming x is positive.\nAnswer: x**(-52635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let t(m) = 3. Let w(h) = -1. Let f(n) = -4*t(n) - 9*w(n). Determine -2*f(l) - 3*o(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445 - 444.69. Sort -1\/3, h, -0.2, 1.\nAnswer: -1\/3, -0.2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003470615 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -3*r + 12*m + 678, 8 = 2*m. Calculate the remainder when r is divided by 94.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -25469, 73, 0.06?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247.78 * 1927.\nAnswer: 477472.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 22 - 16. Suppose 3*r = -7*a + 6*a + 952, 3*r = -m*a + 2868. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4840 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 91394287 + 91394287.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563645277 to the nearest integer?\nAnswer: 23741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p**3*q**2 + 2*p**3 - 45*p**2*q - p*q + 1153*p + 2*q**2 with respect to q.\nAnswer: -12*p**3*q - 45*p**2 - p + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and -69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9427617?\nAnswer: 3, 349171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -10) + (-4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2862 + -2852. Which is smaller: y or 76?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -31357 (base 12) to base 9.\nAnswer: -107344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 587 and (-22 + (-824)\/(-32))*24\/10.\nAnswer: 5283","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 430*g. Let k(d) = -2*d**2 + 1929. Calculate y(k(h)).\nAnswer: -860*h**2 + 829470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403 is divided by 6283?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -12. Suppose -58*b + 55*b = s - 10, 0 = -5*b + 2*s + 2. Sort f, -79, b in descending order.\nAnswer: b, f, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 426*r - 21. Let q(s) = -s**2 - 283*s - 13. What is -5*g(x) + 8*q(x)?\nAnswer: 2*x**2 - 134*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 68 = 0. Suppose -83 = -5*m + b. Let v(h) = 3*h**2 - 4*h - 5. Let t be v(5). What is the highest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47802 divided by -8072?\nAnswer: -23901\/4036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6572 - 7636 = -2*z. Calculate the highest common divisor of 112 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 7, k: 5}. Give prob of sequence gg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18836 + -13149. What is r rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 16 + 25)*(-4 - 1 + 1)*(1 + 0 + 1)*(-2*o - 9 + 9).\nAnswer: 304*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + t - 1244, d + 5*t = -4*d + 1240. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -122 - 123. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2853*j**4*z + 177*j**4 - 18516*j**2*z + 64*j**2 + 3*z wrt j.\nAnswer: 68472*j*z + 4248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3 - 0) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 729\/36*(-22)\/660*-40\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -920 - 2?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92139, 368545, 829219, 1474155, 2303347, 3316789, 4514475?\nAnswer: 5896399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 1037?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c + 165. Let d be o(18). Solve 24 = d*v + 3*x, -4*v - 7*x = -2*x - 37 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0 + 0*y**2 + 1\/6*y**3 - 3*y. Let s(w) = 3*w**2. Give s(u(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/11 + 67529804*j\/11 - 570034303534802\/11 = 0.\nAnswer: 16882451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 138*w - 1059. Give k(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31703.4 - 31703. Which is the closest to 1? (a) 2 (b) x (c) -2\/11 (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2485*k**4 + 351*k**2 - 5*k - 3643.\nAnswer: 29820*k**2 + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392692 is divided by 47988?\nAnswer: 8788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w - 5*c, -2*w + 0*c + 12 = 4*c. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 6. Let x be i(8). Factor -6*g**x + 2*g + 0*g**4 + 2*g**4 - 2*g - 4*g.\nAnswer: 2*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**3)**(-14)\/(d*d\/(d*d\/d**10*d*d)*d**2) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2051*p - 10271. Determine s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.1 (c) -55 (d) -3.05 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.187 in 0.1, 1, 2, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 16) in base 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 14*m + 4*r = -20, 8 = 3*m + 5*r. Suppose 5*w - 4*a = m, -a - 12 = 3*w - 19. Solve -w*d - 4 = 0, o - 16 = -3*o + 2*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6628.33164 + -6662.08. Let b = r + 34.1083627. Let x = b - 0.36. What is x rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 5. Let s(m) = -m. Let j(u) = 2*u + 1. Let b(q) = 2*j(q) + 3*s(q). Determine 4*a(g) + 9*b(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2480 - 1331. Suppose -w - 3051 = i. What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.242643846*0.2\nAnswer: 0.0485287692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 712227 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f + 48*f = -2055. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (12 + 10)) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 44*i**2 - 292*i + 400.\nAnswer: (i - 4)*(i - 2)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 + -456. Suppose -27107 = -r*a + 28773. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622894?\nAnswer: 2, 311447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - -9 - (362 + -358).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8152 - 40986. Let z = 29150 + x. Let m = -519769\/26 - z. Find the common denominator of -75\/14 and m.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -10, -14, -18?\n\"Answer: -4*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) - 393\/9. Let z be (-42 - v)*20\/38. Factor -z*n + 4\/19*n**2 + 4\/19.\nAnswer: 2*(n - 2)*(2*n - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0*f**2 - f**2 + 2*f**2. Let o(u) = 8*u. What is w(o(s))?\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 5*j**6\/24 + 13*j**5\/20 - j**4\/16 - 17*j**3\/12 - j**2\/2 + j - 54. Solve w(d) = 0 for d.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -41*n**5\/20 - 5*n**4\/6 + 1541*n**3\/3 + 3356*n. Find the second derivative of f(w) wrt w.\nAnswer: -246*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - z - 1. Let h(b) = -37204 + 4*b + 0*b + 37209 + 17*b**3. Give 9*d(l) + 2*h(l).\nAnswer: -2*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1243*j**5 - 5*j**4 + 130268*j**2 wrt j?\nAnswer: 74580*j**2 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 + 2*s - 2. Let v(h) = -216*h**2 + 37*h - 41. Let y(q) = 2202*q**2 - 369*q + 411. Let n(b) = 21*v(b) + 2*y(b). Determine -117*d(x) + 6*n(x).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0902957068 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 133. What is the derivative of -9 + v**2 - v**3 + 36 + 4*v**3 + k wrt v?\nAnswer: 9*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1304852859?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 8, y: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(8*-3))\/((-2)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7929 and -3389499.\nAnswer: -3397428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 9, 1, 2, 4, 225.23, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*j*x**2*z**2 - 4*j*x**2*z - j*x*z**2 - 2*j*x - x**2*z**2 + 3*x*z**2 - 3*z**2 wrt x?\nAnswer: -48*j*z**2 - 8*j*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/14)\/h)\/(h\/h**2))**28 assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 0*d + d + 0 + d + 0 + (-d + 1 - 1)*(-2 - 1 + 5) + d + 4*d - 4*d - 13*d - 108 + 108.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28157, -56309, -84461?\nAnswer: -112613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and 41\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-20)\/x*x\/(x\/(x*x**(2\/23)*x*x)) assuming x is positive.\nAnswer: x**(-389\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + 7. Let i(y) = -4*y + n*y**3 - 4*y**2 - 3*y**3 + 0*y**3. Let g be i(-3). Which is the third biggest value? (a) -5 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10 + 5 + 2*r**2 + 7*r to the form u + t*r**2 + l*r and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -28*t + 51. Let g be z(-19). Suppose l + 3*w = 271, 5*l - g = -2*w + 720. Let y = l + 418. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9))**(-37)\/(l*l*l**(4\/7)*l)**43)**(11\/8) assuming l is positive.\nAnswer: l**(1727\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*n + 3*n - 2575 + 2569 + (-2*n - 3*n + 6*n)*(2 - 4 + 1).\nAnswer: -33*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-10))\/(4\/32). Solve k*m - 2*m + 20 = 4*c, -3*m = -c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15615)\/(-52050))\/((-5)\/((-1225)\/(-6)))?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 687251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*s - 4 - 3 = 0, -3*s + 25 = -2*u. Let l be (-21)\/(0 - -1)*u\/6. Is 39 a factor of 32*(l\/10 - (-28)\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-944 + 944 - 309*q)*(3*q + 3*q - 5*q).\nAnswer: -309*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138859)\/(-79348)*12*(-4)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 - 2?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5075031*d**2*y - 8582023*d*y wrt d?\nAnswer: -10150062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -4*j - 137 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 16 - 10 = -h, 0 = -4*h - 3*v - 34. Which is the third biggest value? (a) -6 (b) 1\/3 (c) -2\/7 (d) h (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 856852\/119 or 7200?\nAnswer: 856852\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) - (-9 + 5). Let v be ((-1)\/1)\/(y\/(-96)). What is the highest common factor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78\/35 - 17\/7. Which is the closest to 3? (a) i (b) 2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 15*q - 45, 7 = 2*v - 15*q + 20*q for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -574245, -4593649, -15503371, -36748569, -71774401, -124026025, -196948599, -293987281?\n\"Answer: -574193*a**3 - a**2 - 50*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23103910, 46207818, 69311726, 92415634, 115519542, 138623450?\nAnswer: 161727358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, -1, 29, -4, -598, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10+3611\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 325*i**2 + 533*i**2 + 948*i**2.\nAnswer: 1797*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and (37\/370 - (-1538)\/20) + 3.\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5956.101 litres to millilitres.\nAnswer: 5956101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7645660?\nAnswer: 2, 5, 11, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f*((f*f\/((f*f*f\/f**6*f*f*f*f)\/f))\/f*f)\/f)**(7\/5) assuming f is positive.\nAnswer: f**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 - 5*w - 2. Let z be (-3)\/(-3) + (-5)\/((-5)\/4). Let y be r(z). Does 29 divide ((-66)\/9)\/(y - (-58)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-196)*14)\/(2\/(-14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14286736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24084, 96353, 216810, 385461, 602312, 867369, 1180638?\nAnswer: 1542125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 70 = -4*o - o, 0 = 2*o. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71981 or -71956?\nAnswer: -71981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-8\/17)*(k**(-6))**50)**(6\/7) assuming k is positive.\nAnswer: k**(-30616\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a (base 13) in base 6?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -84 + -98901758817\nAnswer: -98901758901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(325) - sqrt(325)) + 5)**2 + -4 + sqrt(325) + 1 + -2 + -1 + sqrt(325) + 2.\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - 2*p**2 + 5*p**2 + (5*p - 16*p + p)*(p - p - p) + 3*p**2 - 5*p**2 + 0*p**2 + (-6 - 3 - 2)*(-1 - p**2 + 1).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 24860*a. Let k(m) = -m. Calculate l(k(r)).\nAnswer: -24860*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s - 61416 - 274744 = 0. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 112737 and 24.\nAnswer: 112761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 80*q\/11 - 78\/11.\nAnswer: -2*(q + 1)*(q + 39)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 1 + 8)*2\/164*1?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -19. Solve -10 = j*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 + 1390*t**2 - 2*t - 52 - 1569*t**2)*(2*t - 3*t + 0*t) as c + x*t**3 + s*t + z*t**2 and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + 6*x + 10*x + (-8 + 3 + 23)*(-x + 2*x + 0*x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 16*o**3\/3 - 20033. Let a(i) = 4*i. Let k(n) = 9*n. Let g(f) = 13*a(f) - 6*k(f). Give g(r(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/8 - 5*y**3\/3 + 9*y**2. Determine p(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 - 1848*g\/17 - 1846\/17.\nAnswer: -2*(g + 1)*(g + 923)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 22*h**3 - 11*h**2 + 14*h + 64. Give w(-2).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3226*r - 2327*r - 7123*r - 5898*r + 3373*r to l*r + s and give l.\nAnswer: -15201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 40 = 2*i + 67 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -212*p**3 - p**2 - 3*p + 4. Let q be f(1). Let l = 309 + q. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -644014.21?\nAnswer: 644014.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-5))\/((-64)\/(-160)). Let a be (-6 + (-308)\/(-21))\/(2\/r). Let s(d) = -2*d - 4. Let m be s(-7). Solve 5*b = -3*u - 17, -3*u = -5*b - a - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + 7*l + 5. Let n be h(7). Solve o - n*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/13)\/t)\/t)\/(t*t*t**(-6\/7)*t))\/(t\/(t*t\/t**0)*(t*(t\/(t**(-6)*t))\/t*t)\/t) assuming t is positive.\nAnswer: t**(-818\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6011\/4 + 1486. What is the common denominator of -13\/573 and l?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3))**(3\/19) assuming g is positive.\nAnswer: g**(-5\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-709 - 15*n**2 + 357 + 352 - n)*(4*n + 5*n + 11*n).\nAnswer: -300*n**3 - 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.2 - 100.2. What is the second smallest value in -1, i, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 + 4. Let l = 136 - 87. Calculate the remainder when l is divided by f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1927010 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76145213, 304580847, 685306901, 1218323375, 1903630269, 2741227583, 3731115317?\nAnswer: 4873293471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59496 and 84.\nAnswer: 416472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3820 + -3645. Calculate the greatest common factor of 4825 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 26*m**4 - 3610*m**3 + 6594*m**2 - 2462*m - 548 = 0.\nAnswer: -2\/13, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 4) to base 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from aaanhaagqn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35542846 and -31163.\nAnswer: 35511683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -254, -3, -2 in increasing order.\nAnswer: -254, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-60) - 1 - 11*(-3)\/(-165).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14652 - -32837. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1\/3 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*g + 5*f, g - 6*f - 10 = -f. Calculate the remainder when 4\/(-10) - (-84)\/10 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 + 459. What are the prime factors of i?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 p when four letters picked without replacement from {f: 1, w: 7, p: 2, m: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 9820*t**3 + 4870345*t**2 - 47726450*t.\nAnswer: 5*t*(t - 977)**2*(t - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/19 - 5064*l**3\/19 + 3540392*l**2\/19 - 423958080*l\/19 + 14018076800\/19 = 0?\nAnswer: 70, 1196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + 2 + (-5)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 50*n + 364. What is b(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -17. Suppose 0 = 2*j + 15 + 19. Let p = j - o. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 1, h: 2, p: 1, o: 1, x: 2}. What is prob of picking 1 x, 1 h, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 + 14*m**2 - 22*m - 2. Is r(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/30913 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 16 + 15)*(-369*x + 256*x + 2195*x - 437*x + 628*x + 2806*x) to v*x + s and give v.\nAnswer: 91422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - r - 6 + 4)*(19 - 46 - 41 - r) to q*r**2 + v + x*r and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -31, 0.4, 17\/3, 766, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28578 - -64238. Suppose 2*g = -2*g + x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 2, x: 5, a: 1, c: 4, b: 1}. Give prob of sequence abyx.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let i(y) = -y + 9. Let o be i(0). Suppose 0 = -2*a - 1 + o. What is the greatest common factor of a and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/(w*(w\/((w*w*w**6)\/w))\/w)*(w*w**0)**(-1))\/((w**0)**(-6\/11)*(w\/w**(1\/3))\/w**(3\/8)) assuming w is positive.\nAnswer: w**(839\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-16 - (52 + 6 + -33 - 23).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39367227 and -1.\nAnswer: 39367227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4466606583?\nAnswer: 3, 19, 78361519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 4, t: 5}. What is prob of sequence vc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-22)*m*m*m**(-4)*(m**(-2\/33)\/m)**47 assuming m is positive.\nAnswer: m**(-952\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-7 + 2) + -3. Suppose q*b = 2 + 2. Suppose b*u + 3*u = -3*m + 145, -4*u - 71 = -m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*f + 70*f + 645*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1929*o**2*y + 21*o**2 - 116*o*y + 38*y - 470564 with respect to o.\nAnswer: -3858*o*y + 42*o - 116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2847 + -2845. Which is the closest to 2\/5? (a) -4 (b) -3 (c) -126 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - ((-9 - -3) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 2*x - 3*x + (-1 + 5 - 3)*(-2*x + 0*x + 3*x) + 1 - 1 - x - 6*x + 2*x + 5*x)*(6*x**3 + 24963627*x**4 - 14*x**3 - 24963242*x**4).\nAnswer: 1155*x**5 - 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (-12526)\/737 - 9. Let q = z + 1681\/1474. Find the common denominator of q and 2 - ((-65)\/(-56) + 2).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 11 (b) -61.2 (c) 1153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 770 - 687. Suppose 63*u - q*u + 520 = 0. Suppose -3*f + 166 - 46 = 5*m, 0 = 2*m + f - 48. Solve -4*n = t + m, -3*t - u = 2*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (1 + sqrt(132)\/sqrt(3) - sqrt(44)))*-2.\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946822532?\nAnswer: 2, 167, 1417399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b. Let v be s(-2). Solve 0 = 3*w - 0*w - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(1*sqrt(160)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v + 1. Let f = 14 + v. Calculate the least common multiple of 16 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132565 and 265130.\nAnswer: 265130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(2 + (-4 - -1)). Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122678488 times -0.4\nAnswer: -49071395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f + 0*f**3 + 76*f**3 - 38*f - 25*f**3 - 39*f**3 - 19*f**3.\nAnswer: -7*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-373*o + 5*o**3 + 37*o**3 + 371*o - o**2).\nAnswer: 84*o**3 - 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*b + 70*b - 110*b + (-4*b - b + 4*b)*(-2 - 2 + 0) - b + 3*b - b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*q - 27, -4*v + 18 = q - 3*q. What is the common denominator of ((-48)\/(-40))\/((-11)\/(-40)) and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5809.869t to kilograms.\nAnswer: 5809869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*a - 3*a - 15 = 0, 0 = 3*q - 4*a - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 0.00128121972065.\nAnswer: 0.20128121972065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 - z. Let l(d) = d**2 + d. Let f be (-1)\/(-3) - (-21)\/(-9). Let b(q) = f*l(q) - k(q). Suppose 10 + 0 = 10*c. What is b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -48. Suppose 5*g - 2*q = -o*q + 118, q + 30 = g. Calculate the remainder when g is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 1801*z + 248. Give d(-600).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 2.8. Let s = t + 0. Let u = -2.5 - s. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2 = -a - 2*a, -3*a - 11881 = 21*i - 11773 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 12*t**2 - 16*t - 1. Give h(-13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/716160 and -107\/160.\nAnswer: 716160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*s + 31, 57*l - 2*s + 19 = 58*l. Solve -2*k = l*t - 9, -4*k = -4*t + 5*t - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Solve 2*k - 14 = k + 5*v, 0 = -2*k - j*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15045390 + 15045390 + 1904*r**2.\nAnswer: 1904*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-9)*f*f)**5*f**(2\/25)\/f**41 assuming f is positive.\nAnswer: f**(477\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 49*g - 398. Let o be a(25). Solve -15 = -o*z + 207*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1203 = -6*b + 3*b - t, 6 = 2*t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1329*j*w - 789*w with respect to j.\nAnswer: -1329*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/105*-20*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5) - 33\/(-55)) + 2. Let x(f) be the first derivative of -14\/27*f**g + 21 + 8\/9*f + 4\/3*f**2. Factor x(j).\nAnswer: -2*(j - 2)*(7*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 9*u - 7*u - 8*u - 6 + 27*u + 6*u**2. Suppose z = 5*c + 5 + 1, 4*z + 18 = -c. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39060868 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7390227 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -549 + 669. Suppose 0 = -2*n - 3*q - 2*q + 65, 4*n - 2*q = 166. Calculate the highest common divisor of k and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffeveefflffeefff. Give prob of picking 2 f and 2 e.\nAnswer: 45\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/545 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 0*q - 3*q**2 - 40*q**2.\nAnswer: -43*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/39, -27, 5, -2, -3, -56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 320 = 5*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234068 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.8585599 rounded to one dp?\nAnswer: 114.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -631, -961, -1307, -1675, -2071, -2501?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 2*a + (5*a - 2*a - 5*a)*(1 - 1 - 2))*(7*a**3 - a**3 - a**3).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 + 2*u - 6. Let y(x) = -x**3 - 5*x**2 + 2*x - 7. Let g(m) = 5*f(m) - 4*y(m). What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7468790087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2684646783 less than -0.14?\nAnswer: -0.4084646783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 68*y**3 - 6*y**2 - y - 3. Let f(q) = -203*q**3 + 16*q**2 + 8*q + 8. What is -3*f(l) - 8*r(l)?\nAnswer: 65*l**3 - 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8642*f - 3*f**3 + 2*f**3 + 8642*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 917 + -916. Is (34934\/3*f)\/(620\/930) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -w. Let o be ((-2)\/5)\/(1 - 0). Suppose 2*i = 3*k - 3*i - 26, -3*i - 18 = -3*k. Which is the nearest to 1? (a) o (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 8*v + 12 - 14*v + 35*v. Determine a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 10. Let i be y(-9). Suppose t - 2*g + i = 3, g = 5*t - 11. Suppose -w = -b - 2 - t, 5*b = 3*w - 25. Solve m + 2*z = -1 - 2, w = 3*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - c - 3*c + 0*c. Let w = -11 + 17. Let v = w - 8. Let l(n) = n - 1. Give v*l(u) - r(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 13 = -4*g - r, 4 = g - 2*r. Solve 4 = -4*u + 4*z, 2*z = -g*z - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100323 (base 5) to base 7\nAnswer: 552456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -25. Let h = -2.0656 - -1.8656. What is the biggest value in r, h, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let j be y(-1). Solve j = -2*u + 3 + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 336*w**2 - 64*w + 64. Let x(o) = 16*o**2 - 3*o + 3. Give 3*h(s) - 64*x(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*x - 3554, -46*x - 4 = -45*x. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103845 and 7820?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 0, 5*f + 228 = 4*m + f. Let v = 22 + m. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70716, -70719, -70722, -70725, -70728, -70731?\n\"Answer: -3*p - 70713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 13*q - 25. Let f be i(-12). What is the remainder when 153*(f\/(-6) - (-3)\/(-2)) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1245 = -5*o, 2*o + 671 = 5*g - 581. Calculate the least common multiple of 80 and g.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23949 + 23950 + 61*l**2 - 44*l**3 - 54*l**2)*(-l - l + 3*l).\nAnswer: -44*l**4 + 7*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 + 6*j - 6. Let t(c) = -17*c + 3*c**3 - 14*c**2 + 17 - 14*c**2 + 11*c**2. Determine -6*t(z) - 17*w(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u**5\/4 + 10465*u**4\/4 + 2949*u**3\/2 - 7039*u**2\/2 - 4235*u\/4 + 5325\/4 = 0. What is u?\nAnswer: -213, -1, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*(-25216)\/(-2758)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*a - 29*a + 15*a)*((3 + 0 - 2)*(-4 - a + 4) - a - 78*a - 6*a) + 4 - 4 - 8*a**2 in the form l + y*a**2 + j*a and give y.\nAnswer: 4292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -0.2, -231, 4 in ascending order.\nAnswer: -231, -4, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/75)\/(((-12)\/(-8))\/((-10)\/(-4)))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/468 and -167\/504?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 78*v + 720. Let y be a(-17). Calculate the highest common divisor of 300 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27281*c**2 - 2*c + 10 + 13635*c**2 - 10 + 13714*c**2.\nAnswer: 68*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 40 + 10*q**2.\nAnswer: 10*q**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:01 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 1. Let x(d) = 2*d**2 + 10*d + 5. Let q be 2*1\/((-4)\/(-2)). Let r(s) = q*x(s) - 3*y(s). Calculate the remainder when r(-5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 14*o - 57*o**3 + 7*o.\nAnswer: -57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136258, 2272516, 3408772, 4545026, 5681278, 6817528, 7953776?\nAnswer: 9090022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18279968 divided by -1142498.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10114292371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 38331.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.411 + 5.031. Let w = d - -72. What is w rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/203604 and -133\/5190.\nAnswer: 176117460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1780961 and 3549?\nAnswer: 69457479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-3)\/(6\/(-4)). Suppose 3*q + 158 = 533. Suppose q + 50 = y*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2*v**2 - 3*v**2)*(-18*v - 4 + 2 + 17*v)*(663 + 485 - 1516).\nAnswer: -1104*v**3 - 2208*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 31*c - 49, -5*d - 185*c = -181*c - 34 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7637 + 7642. Factor 0*z + 16\/13*z**2 + 24\/13*z**3 + 12\/13*z**4 + 2\/13*z**d + 0.\nAnswer: 2*z**2*(z + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(31\/(-62)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 4*m + 3. Does 11 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3163 - 58?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 26\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) 2 (d) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqffrfyyyfsssrffyff. What is prob of picking 1 q and 2 f?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -801 - -803. Let z(r) be the third derivative of 0*r**3 + 0*r + 0 + 1\/270*r**5 + 4*r**q + 1\/54*r**4. Factor z(i).\nAnswer: 2*i*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 23 + 22. Let b = 11 - m. What is l in 2*l**3 - 1 + 25 + 101*l**2 - 16*l - 103*l**b = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 10*x = 59*x + 1440 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 3, 2880, -1, 5, -9 in ascending order.\nAnswer: -119, -9, -1, 3, 5, 2880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -7.72 (b) 2 (c) 5 (d) -12 (e) -1 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 824745*r**4 - 302*r**3 - 491*r**2 - 3522*r.\nAnswer: 19793880*r - 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 7670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 2813.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9385, 8958, 7789, 5506, 1737?\n\"Answer: -62*z**3 + z**2 + 4*z + 9442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 (base 13) in base 6?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}