diff --git "a/data/dm_maths/full_data/10298_11255.jsonl" "b/data/dm_maths/full_data/10298_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10298_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Work out 12 + -687.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(30)\/(sqrt(20)\/sqrt(2)) + 4*sqrt(27)*3.\nAnswer: 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -29*j + 1256. Calculate the remainder when 1322 is divided by p(41).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 + 464 + (4 - (1 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 - 9*m + 6. Let a be b(7). Let k be 2*3 - a\/(-2). Is 2 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -265, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2678.6789 + 2661.8. Let t = 0.1071 - l. Let m = t - 17. Round m to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -40713265?\nAnswer: -40713264.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732 - 741. Let t(p) = 3*p**3 - 2*p**2 + 1. Let d(y) = -13*y**3 + 9*y**2 + y - 5. Give v*t(j) - 2*d(j).\nAnswer: -j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817204\/164 - (-12)\/246.\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/198 and 133\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7924 - -7829.98. What is u rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 + 507. Let d(r) be the first derivative of 5*r**3 - 3\/4*r**4 - 3*r**5 - o + 0*r + 3\/2*r**2. Find c, given that d(c) = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94137 times -9\nAnswer: 847233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 361. Suppose c - 135 = v. What is the tens digit of 2\/3 - c\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -44 (b) -501 (c) 7 (d) -5\/4 (e) -1 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 16*f - 8. Let b(w) = 4*w**2 - 3*w. Let u be b(-1). List the prime factors of s(u).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456.4 times 80?\nAnswer: -36512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -8*(-8)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 20?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 - 2*l - 7. Let i be o(-6). Suppose -3*f + i*f - 42 = 0. Suppose -3*w + 12 + f = 0. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433*26.22\nAnswer: 11353.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 32*t**2 - 28\/3*t**3 + t**4 - 48*t - 10. Let k(u) = 0. What is u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 417 + -438. List the prime factors of (-3777)\/(12\/a - 85\/35).\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - (-16 - -25 - -1) - -7 - 79?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220122220 (base 3) in base 7?\nAnswer: -551646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1454 - -5863\/4. Let d be (3\/27)\/(1\/23756). Let l = -2646 + d. Calculate the common denominator of i and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58189?\nAnswer: 58189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -52?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 15 = -g, -15 = 4*u + u - 5*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17709098.\nAnswer: 2, 11, 829, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/27))\/(((r**(1\/7)\/r)\/r)\/r*r))**(-36)\/(((r*r\/(r**(2\/9)*r))\/(r\/(r\/(r*r**(5\/4)\/r))))\/((r\/(r\/r**(-2\/5)))\/r**3)) assuming r is positive.\nAnswer: r**(-136649\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 40, 61, 98, 157, 244, 365, 526?\n\"Answer: k**3 - k**2 + 7*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057))*1)**2*4.\nAnswer: -88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 27*z + 20. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563 divided by 49199.\nAnswer: -563\/49199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 381 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -4131.046.\nAnswer: 413.1046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4675, -5472, -6271, -7072?\nAnswer: -7875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let j(r) = 10878478*r**2. Give j(t(x)).\nAnswer: 271961950*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 47835036*t + 47835053*t + 109.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 1\/6*i**5 + 2\/3*i + 13\/6*i**3 + 0 - 2*i**2.\nAnswer: i*(i - 2)**2*(i - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448907.3 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352014499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12685? (a) -1\/2 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 30. Let h be q(-10). Does 4 divide 35\/h*(-180)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33214542 (base 9) to base 11\nAnswer: 9087626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 5 + 1, -4*i + 16 = 3*i + 4*s + 312 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 2*t = -1880. What is the units digit of 10\/(-4)*(-6 + t\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 4*r**2 - 4*r + 3. Let x be y(2). Which is the closest to 1? (a) 4 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -226*d + 3442. What is q(15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.5 (b) -0.4 (c) 252 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 2*d**2 - 2*d**4 - 2*d**3 + (-7*d + 39*d + 129*d)*(9*d**3 + 3*d**3 - 6*d**3) to the form n + c*d**3 + o*d**4 + t*d + x*d**2 and give o.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 5. Suppose -3*y - 2*m = -3*m - 11, 2*m = 5*y - 19. Let n be t(y). Which is bigger: n or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/14*(-2)\/1*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 1)*(4*k + 12 + 9 - k**2 - 12).\nAnswer: 6*k**2 - 24*k - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -9*r + k - 11, -r = 2*k + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1\/(-2) - 1421\/(-522). Is 3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y - 8*y - y - y + (1 + 0 - 6)*(6*y - y + 7*y).\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(0*t**3 - 3*t**3 + 2*t**3) + (19 + 39 + 10)*(-1 + 1 - 2*t)*(t - 35 + 43 + t**2 + 0*t).\nAnswer: -137*t**3 - 136*t**2 - 1088*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -802, -1, 1, 5, 4 in decreasing order.\nAnswer: 5, 4, 1, -1, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 2*m. Let q(x) = x. Let g be q(-1). Give j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1165255 or -1165252?\nAnswer: -1165252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*9\/6)\/((-15)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1381699 + -194268. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/478 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 279 + 264. Suppose g - 1859 = -7*a. What is the remainder when a is divided by 16 - 1 - (15 + -21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -5576.\nAnswer: -5576.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/40 (b) -3 (c) 32 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 2*p + 23. Let j be w(7). Let g = 292 - j. Let x = 6 - 4. Solve -g = -x*h + 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168740 divided by -168740?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496*b - 88 = 518*b. Let w(k) = 10 + 2*k + k + 5. Let x be w(b). Solve -x*v = v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97328130?\nAnswer: 2, 3, 5, 37, 87683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 9) to base 2.\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424949 to the power of 1\/2, to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g - 6*g**2 - 59*g - 84*g + 206*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 8. Let s(r) = -2*r - 8. Let v(h) = 2*s(h) + 3*y(h). Let j be v(9). Which is the nearest to j? (a) -1\/6 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v - 5. Let r be c(5). Suppose 8 = -85*l + 87*l. Suppose -70 = -l*g - r. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*58121.98.\nAnswer: 174365.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*n - 5*n + 10, 5*c = -n - 19. Let j(d) = d**2 - d + 1. Let t(f) = 3*f**2 - 8*f + 4. Let z(m) = -4*j(m) + t(m). Give z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*28\/6. Let x = q - 10. Let u = 0 - x. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + -72 + -7)\/(-1 + -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 34. Suppose d - 21 = 5*o - d, -4*o + j*d = 16. Suppose 3*g - 4 = 5*i + 15, 0 = 2*g + 2*i - 2. Put o, g, -3 in decreasing order.\nAnswer: g, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1533 to the nearest ten.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8265.41 micrometers in millimeters?\nAnswer: 8.26541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8257990 divided by -13?\nAnswer: -635230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(r**2 - 4*r + 4*r) + 22*r**2 + 18*r**2 - 29*r**2)*(4 + 14 - 10)*(0*r - r + 0*r) + 0*r**2 + 0*r**2 - 2*r**3.\nAnswer: -98*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 72*a - 8. Give v(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10101000110001001011 (base 2) to base 12\nAnswer: 294063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44026.\nAnswer: 2, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77753 is divided by 304.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 103.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**3 + 2*w**2 + 5*w + 2. Let k(l) = -11*l**3 - 3*l**2 - 5*l - 3. Let d(o) = 6*a(o) + 5*k(o). What is the tens digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83926001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:07 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 38 = 4*w. Let k be ((-198)\/27)\/((-5)\/w) - -4. Let r be (1 + (-8)\/6)*1. What is the second smallest value in 3\/2, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*0*-1. Let y be -1*0\/(m + 1). Suppose 6 = 5*z - d, z + 2*z - 3*d - 6 = y. Sort -2\/7, 0.4, z.\nAnswer: -2\/7, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/21)\/((-60)\/2940)*(-58)\/14\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1424, 1320, 1216, 1112?\n\"Answer: -104*p + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43524 + 269382837.5.\nAnswer: 269382837.93524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14691 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -294281 + 2?\nAnswer: -29427f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 2b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10586081*q**5*s**3 + 2*q**2*s + 7*q*s**2 - 6923*q*s - 19*s**3 - 2*s**2 wrt q?\nAnswer: -211721620*q**3*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-429) - (-71 + 70)\/(44\/8)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)\/((a\/(a\/(a\/a**(3\/7))*a))\/a))\/((a**(-2)\/a)\/a*a**(2\/11)) assuming a is positive.\nAnswer: a**(327\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/6 + 2*y**2 + 14*y - 2. Let m(w) = 38*w. Give r(m(o)).\nAnswer: -14440*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3634 is divided by 114.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/(54\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 2. Let x be 0 + 0 + 0 + 7. Suppose -5 = -3*l + x. What is a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 7*h + 4. Let s(i) = -i**2 - i + 3. Let w be s(0). Let j = 3 + w. What is n(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 45. What is the remainder when 159 is divided by a(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -61, 328, 0, -3 in decreasing order.\nAnswer: 328, 3, 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1707 and 1707 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49147?\nAnswer: 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:34 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 11230*f**2 - 891999*f - 57. What is o(80)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 98 = 4*t, -66*h - 245 = -71*h + 2*t. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2364327 by -7.\nAnswer: 337761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221 - -233. Calculate the highest common divisor of l and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*q**5 + 31*q**4 + 12698*q**2 + 1 wrt q.\nAnswer: 1620*q**2 + 744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.78 and 0.098.\nAnswer: -0.07644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 + 14*z - 36. Let g be j(9). What is the tens digit of (-33)\/(-6)*6*444\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -1975741065462.7.\nAnswer: 1975741065462.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8014 and -2793522?\nAnswer: 2785508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 8*z. Let l be i(-8). Suppose -8 = -l*v - 2*v. Suppose -2*j = -v - 4. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -140. Let p = c - -84. Let n = -57 - -63. Put n, -1, p in increasing order.\nAnswer: -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iywvmqqi. What is prob of picking 1 q and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 202212121221112112?\nAnswer: 202212121221112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 8975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b + 36. Let m = -413 - -411. Is b greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -17. Let q be f + (-1 - 0) + -3. Suppose 14*b - 19\/2*b**3 - 4 - 7\/2*b**4 + q*b**2 = 0. Calculate b.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 142608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 221 = -z, 7*z - 108 = 2*k + 5*z. Calculate the remainder when (-165)\/6*44\/k is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + (-9)\/(-27). Let g(u) = -u + 7. Let l be g(z). Let y(j) = j**3 - 6*j**2 - 7*j + 7. What is the units digit of y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5\/5 - 4*o**4 - 16*o**3\/5 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:04 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 55 + 17 = 0. Calculate the remainder when ((-13 - y)\/((-3)\/(-20)))\/1 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 + 180 + 7 + -15 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15470 = 4*z - 5*w, 4*z - 4*w - 11602 = z. What are the prime factors of z?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l + 0*l**3 + 0 + 0*l**4 + 1\/15*l**5 + 3*l**2 + 1\/60*l**6. What is the third derivative of h(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4dfc (base 16) in base 14?\nAnswer: 73c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 5*l, 0 = -5*l + 6*t - t + 10. Solve 4*z - 11 = -3*h, 4*h - z = -l*z + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 18*a - 4*a - a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, g: 3, w: 6, t: 2}. What is prob of picking 1 g, 1 w, and 1 x?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddqqdddqdqqqq. What is prob of picking 1 d and 2 q?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1118328ml?\nAnswer: 0.0001118328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1421 by -203.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4200499 - 10.424. What is s rounded to 5 decimal places?\nAnswer: -0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1124\/352*-11 + 35\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 761059*i**4 + 2183422*i**2 wrt i?\nAnswer: 18265416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3150, -3118, -3096, -3090, -3106?\nAnswer: -3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327, 330, 321, 294, 243, 162, 45?\n\"Answer: -v**3 + 10*v + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11531130 (base 6) in base 16?\nAnswer: -5a3de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237022709 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 93 - 41. Suppose -15*a + 712 = -v*a. What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 37. Suppose -6*h + u = -12. Solve -4*y + 5 = -h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371128832 minus 0.4383?\nAnswer: 371128831.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -7054.7.\nAnswer: -35273.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 32. Let u be x(11). Let a(o) = 377*o**2 - 2*o + 1. List the prime factors of a(u).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636\/7 + 4\/14 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 187*m + 1 - 114*m**2.\nAnswer: -114*m**2 + 187*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 3}. Give prob of sequence bd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -3*f + 3, -5*f + 5*x - 5 = 0. Suppose 2*j - 4*p = 3*j + 17, 3*p + 24 = f*j. Let k(b) = 3 - j - 2*b + 8*b. Let s(a) = 2*a. Calculate k(s(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 233*t**8\/336 - 463*t**5\/60 - 17*t**2. What is the third derivative of u(v) wrt v?\nAnswer: 13980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.21, -818, -0.2 in decreasing order.\nAnswer: 15.21, -0.2, -818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -40, -43?\n\"Answer: -3*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121101200121010 (base 3) to base 5.\nAnswer: 4212312233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332 (base 8) to base 15.\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)*((-16256)\/3252 - -5). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414134 + 10?\nAnswer: -1414124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, 45, 171, 297, 423?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1160636868 to the nearest integer?\nAnswer: 34068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -13*b**5\/20 - b**3\/6 + 22*b**2. What is the derivative of u(w) wrt w?\nAnswer: -78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -85. What is the highest common divisor of k and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 8*s**2 + 3*s - 2. Let c be j(7). Let u = 50 + c. Calculate the greatest common divisor of 60 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-95) - ((-125442)\/(-1311) - 65)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6577623.12 to the nearest 100.\nAnswer: 6577600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*m - 16728 = -102*m - 180*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-4))\/((-11)\/22). Let g = j - -15. Suppose q + a = -2*q + 16, 2*q - 5*a + 12 = 0. Solve -20 = -g*o + q*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 153 = -3*p. Suppose -5*d - p = -256. Let o = d - 41. Solve -5 = -o*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -416 in -0.03, 2\/7, 1\/2, 3.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 17*a**2 - 18*a + 2. Let m be o(18). Solve z + 3 = m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 75 = -9*t, -4 + 15 - 12 = t - 3*g - 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 * -0.1982509\nAnswer: -0.150670684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 136?\nAnswer: -9\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 + 1360*p**4 - 99708*p**3 - 566640*p**2 + 2560896*p = 0 for p.\nAnswer: -8, 0, 3, 117, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4984541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let x(z) = -3*z**3 + z - 4. Let p(f) = -6*b(f) + x(f). Let m(k) = -2*k**3 - 3*k + 1. Calculate -5*m(h) + 3*p(h).\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.013 + 1.4253. Round u to two decimal places.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9+24571408384251\nAnswer: 24571408384249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78559977 - -6049325741\/77. Let p = c - 2695. Let b = -95\/462 - p. Sort b, -4, 0.1 in descending order.\nAnswer: 0.1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*o = -g + 220, -84 = 2*g - 8*o. Are g and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -141*q**2. Let m(p) = -75*p + 116. What is m(d(x))?\nAnswer: 10575*x**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 294527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/29 - 31\/203. Which is the nearest to -2? (a) -5 (b) -7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(88)*1 + sqrt(88)))\/(sqrt(50)*-2).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/7716 and 133\/4734?\nAnswer: 6087924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54784261 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-2 + -1 - -645) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761701*i**2 - 380837*i**2 - 380873*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 n, and 1 e when four letters picked without replacement from {n: 3, e: 2, j: 10, x: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6de3 - 13f?\nAnswer: -c6f22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 947*d - 17993. Let b be n(19). What is the closest to b in 2\/9, -0.04, -1\/19, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8*x - 4*x + 25, 5*j = -2*x + 7. Suppose -j*b + 30 = -5*v - 268, -444 = -4*b - 5*v. What is the highest common divisor of 53 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755.50131 rounded to the nearest integer?\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.91806 nanoseconds to seconds.\nAnswer: 0.00000009991806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345050*k + 345050*k + 6*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231.503 micrograms to grams.\nAnswer: 0.003231503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 - 3 = 0. Is (v - -6)*(90 - -11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2490, 2535, 2570, 2589, 2586, 2555, 2490?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5519 - 8*o - 1357 + 2000 + 7*o in the form t*o + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -25*o + 92*o - 418. Let c be -119 - 3\/(3\/(-1)). Sort o, c, 3.\nAnswer: c, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 9.3. Let i = 15 - 16.2. Let m = 1.4 + i. Which is the nearest to 0.1? (a) s (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7848 and 44187?\nAnswer: 115593192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -264, -730, -1456, -2484, -3856, -5614, -7800?\nAnswer: -10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 114277?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109744574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/5 + 1301*k**4\/10 + 869543*k**3\/10 + 1513089*k**2\/10 - 3034359*k\/10 + 65043 = 0 for k.\nAnswer: -330, -3, 1\/4, 1, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2385*m - 2438*m + 7259*m + 0 - 3 - 2437*m + 2.\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/((-4)\/4). Suppose -4*u + 40 = -r*u. Find the second derivative of 11*t + u*t**5 - t**5 + 3*t wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:35 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 76660017?\nAnswer: 383300085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) -9 (b) -4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*a = 251, -z + 0*a + 2*a - 59 = 0. Let l = z - -65. Suppose 0 = 2*c - l*c - 196. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*m + 0 + (180 - 180 + 4*m)*(3 - 5 + 0)*(5 - 3 - 1).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or 57\/73?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 86 = 266. Let x = n + -19. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523690.\nAnswer: 2, 5, 7, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*8\/756*(-21)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 1225952 = -5*o. Let d = -20076 - o. Let j = -41168 + d. Round j to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/226467 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7359\/446*(-494)\/(-627)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908180 is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 19*z - 114. Let o = -158 - -134. Let v be f(o). Solve 0 = v*r - r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(384))\/sqrt(8))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.949 - -0.449. Which is the closest to 0.1? (a) 1 (b) 0.4 (c) s (d) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -610 - -608. Let v(c) = c**2 + 6*c + 9. Let a be v(-6). Let s be 0\/(u*a\/6). Solve s = 4*o - 5 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431.1355l to millilitres.\nAnswer: 431135.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 2. Let y be t(11). Put -3, y, 2 in increasing order.\nAnswer: y, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3))**2 + 2 + (sqrt(3) - (sqrt(3) - 2*sqrt(12))) - (0 + sqrt(3) + -2)**2*-5.\nAnswer: -16*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12360)\/(-1957))\/((-66)\/627).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3 - 1 + 3. Let a(l) be the third derivative of l**4\/6 + l**3\/3 + 96*l**2. What is -a(g) - r(g)?\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 985710 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(92\/(-8))*(-6)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -54. Is (3 - 8)*-25 - r a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -28 (b) -0.3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -529493\/18 + 29409. Calculate the common denominator of s and ((-1)\/8)\/((-18)\/296).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -22924\nAnswer: 114620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014*z**2 - 496*z**2 - 518*z**2 + 266*z**3.\nAnswer: 266*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -288d73 (base 14) in base 12?\nAnswer: -57a6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 11*m**2 + 8*m - 19. Let d be i(-9). Let z = d + -471. Solve 2*r - r - 22 = z*w, -30 = 5*w - 5*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 1215820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at least as big as -1\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 12*r - 20 = 0, -5*r = 2*k - 344. Which is bigger: k or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*i + 851924, -2*z + 3*i = -0*z + 567955. Let w = z + -159077. Let c = w + -56947. Round c to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447740, -448688, -449644, -450614, -451604, -452620, -453668?\nAnswer: -454754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0703 and 19.56?\nAnswer: -1.375068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 200 = -2*r. Let x = 52 - r. Solve 0 = x*m - l + 11, -39 = 4*m - 5*l - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 2120*m - 561800.\nAnswer: -2*(m + 530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -34. What is the highest common divisor of s and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -89, -81, -71, -59, -45, -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -0.0338453.\nAnswer: 0.3338453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*b + 398 - 1418 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1042 - -5207\/5. Sort p, 2\/9, -31, -0.5.\nAnswer: -31, p, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 1. Let t be y(2). Differentiate -3 + 0*n**2 + t*n**2 - n**2 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**2\/2 + 10*u - 22. Let j be g(6). Solve -4*b + 8 = -2*f, j + 12 = 5*f + 2*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 6806?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 5, q: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 359. Let x(a) = 1. Calculate -h(l) + 2*x(l).\nAnswer: l - 357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 16*v + 68. Let l(c) = -234*c. Calculate l(g(w)).\nAnswer: 468*w**2 + 3744*w - 15912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2126, -8248, -18622, -28996, -39370?\n\"Answer: -10374*d + 12500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438994?\nAnswer: 2, 199, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907.459 millilitres in litres?\nAnswer: 2.907459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 6 - 10*v to n*v + o and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 216151764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/2, -37\/3, 3, -0.4 in ascending order.\nAnswer: -37\/3, -2, -0.4, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 5*b + b - 6*p + 24, -4*b - 58 = -10*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 0.25 - -325\nAnswer: 325.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3577 - -3610. What is the remainder when 289 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4133585, 8267134, 12400687, 16534244, 20667805, 24801370?\n\"Answer: 2*o**2 + 4133543*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + p - 4. Let r be j(2). What is r rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 29 = 5*r, 4*l = -l + r + 59. Let u = 16 - l. Solve 4 = 5*h + u*y, -3*y + 3 = -4*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) - ((sqrt(119) - 1*sqrt(119)) + sqrt(119))) + (sqrt(119) + -1*sqrt(119))*3)\/(sqrt(77)\/(sqrt(22)\/sqrt(2)) - sqrt(4032)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148417 is divided by 175?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 - (-2 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 1. Let z(a) = 2*a**2 - 10*a - 3. Let l(o) = -3*p(o) + z(o). Let m = -54033 + 54026. What is l(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + c**4 - 4*c**4 + (2 + 1 - 1)*((-c**2 + 2*c**2 + 0*c**2)*(c + 2*c**2 - c) + 0*c**4 + 4*c**4 - 3*c**4 + 7*c**4 + 0*c**4 - 3*c**4).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 109311 (base 15) in base 7?\nAnswer: 6501331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061604882 to five decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-24)\/(-45) + -1). Let x = v - -157\/35. Are 2\/5 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220 + -612. Let t = 397 + k. Which is the fourth biggest value? (a) 6 (b) t (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 14*h**2 - 31*h - 556. Calculate the remainder when 1870 is divided by f(-12).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -954 + 1724. Is 77 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395*x**6 + 12*x**3 + 324*x**2 - 6*x + 6.\nAnswer: 47400*x**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.1 in -4, 5\/2, 2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1127 + -1059.9. Let b = 71 - y. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2151*t + 8917. Determine w(4).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -9 + 4 + -5 + 248 + -251?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.8517nm in kilometers?\nAnswer: 0.0000000000958517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 420996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 18*k**2 - 79*k - 479. Let f be z(-15). Suppose -5*a - 20 = 0, -2*y - 4*a + 0*a = 6. Solve -36 + f = y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341 and 111834143?\nAnswer: 1230175573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let s(k) = k**2 + k + 5186. What is s(m(v))?\nAnswer: v**2 - v + 5186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-75))\/(1364\/775)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 743462.8\nAnswer: -2230388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22803, -45604, -68405, -91206, -114007, -136808?\n\"Answer: -22801*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -52909877?\nAnswer: -52909873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10 - 8*r - 3 - 5*r + 5*r + r**3 - 9*r**2. Let c be n(10). What is the greatest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -41. Let u be 3\/(-2)*14\/l. Let x(w) = w**3 - w**2 + w. Let y(s) = -s**3 + s**2. What is u*x(m) + 3*y(m)?\nAnswer: -2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -5*g, 4*g + 43 = 5*f - 0. Solve -f - 1 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/42 - (-111)\/1554\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*m + 13 = 8, -4*x - 5 = 5*m. Suppose 4*b + 4*a - 9748 = 2*a, 4*a = x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3739 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 18*i - 24. Give u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -117897\nAnswer: -70738.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 42. Let z be i\/6*(1 + 140 + 6). Suppose 2*v + z = 2*c - 0*c, 5*v + 292 = 3*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(18).\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Which is the closest to 2? (a) k (b) 0.3 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1845 and 15528258?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 13*b + 14. Let u be f(-6). What is the units digit of (-4)\/u - 142\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11152 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i + 16. Let f(u) = -11*u + 5. Suppose 3*d + 48 = -9*d. Let s(p) = d*z(p) + 14*f(p). What is the derivative of s(w) wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(21\/70)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**3 - 2*p**2 - p + 4. Let a = 5 + -1. Let g be o(a). List the prime factors of (-1)\/(-7) + g\/21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 6 - t**2 - 3*t - t. Let s(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 + j + 3. What is 2*f(d) + 10*s(d)?\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**7*b*b**(-3\/8)*b)\/((b**0*b)\/b)**(2\/21))\/(b**(-2)\/(b\/(b*b**(-1)))*b**(-3\/5)\/(b\/b**(-1\/9))) assuming b is positive.\nAnswer: b**(481\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0\/w*w))**(-46))**(-24)\/((w*w*w\/((((w**(-9)*w)\/w)\/w)\/w))\/w**3)**20 assuming w is positive.\nAnswer: w**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207363?\nAnswer: 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11410.42l?\nAnswer: 11410420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j. Let w(f) = -2*f**2 - 25. Determine w(g(y)).\nAnswer: -8*y**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -21. Let g = u - 17. What is the least common multiple of g and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -66, 10, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525321 is divided by 174727?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2142 = 4*f, -5*p + 0*f = -4*f - 5385. Let t(q) = 115*q + 94. Let l be t(-5). Let u = p + l. Round u to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(9\/6 + -1). Suppose -o = 5*q - 25. Suppose q*w = w + 20. What is the least common multiple of 7 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3351740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209098228 to the power of 1\/2, to the nearest integer?\nAnswer: 34772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/105)\/((-21)\/1050*5)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, f: 2, n: 1, p: 1, v: 2}. What is prob of picking 1 p, 1 v, and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 30\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/2)\/(7\/(-14)). Let x = a + 22. Let s(y) = 15*y**2 - 5*y - 7. Let r be s(-2). Calculate the highest common factor of r and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 682618 by -1.\nAnswer: -682618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 409.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 4*i**3 + i**3)*(12*i + 34*i - 146*i)*(-2 + 4 - 3)*(69 + 11*i - 69) + (-2*i**3 + 4*i**3 - i**3)*(i**2 - 2*i + 2*i) - i**5 + 2*i**5 + i**5.\nAnswer: -2197*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - 9\/(-12). Let q = 0.31 + -0.01. Sort -2\/3, q, m in decreasing order.\nAnswer: m, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 349 and 171359?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1 - 11\/(-9)). Let a be (3 + -7)*6\/u. Find r such that a*r**3 + 0*r**2 - 2*r + 2\/3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 44.1. Let r(a) = a**2 - 25*a + 50. Let y be r(21). Let i = y - -33. What is the third biggest value in i, 0.3, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21383 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n**2 + 12*n + 3. Let z(c) = -24*c**2 - 11*c - 4. Let t(g) = 4*y(g) + 3*z(g). Find the second derivative of t(w) wrt w.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/(-20) + -2)\/(77\/(-5)). Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 35 = 5*p - 5*j, p = 5*j + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/120 + 7*r**4\/24 - 13*r**3\/6 - 4*r**2. Let c(p) be the first derivative of x(p). Determine c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 48827834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -911600 at most as big as -911614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 2 - 14 + 1 in the form j*w + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417 + -5841\/14. Let w be (95\/80)\/(3\/(-2718)). Let u = -1070 - w. Calculate the common denominator of h and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/81)\/(195\/234)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50\/33 - -170\/33. Let h(g) be the third derivative of -8\/3*g**3 + 24*g**2 + 0*g - d*g**4 + 0 - 91\/15*g**5. Let h(m) = 0. What is m?\nAnswer: -2\/7, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Suppose l + 4*v = t, -3*l + 4*v = 9*v - 14. Suppose 2*m + l = 2*n + 2*n, 4 = 2*n - 2*m. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 564, 1312, 2528, 4446, 7300, 11324, 16752, 23818?\n\"Answer: 39*a**3 + 475*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -634 + 41?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 0 + 18)*(1 - 1 - 2*v**4 - v**4 + 2*v**4 - 3*v**4 + (3*v + 2*v**2 - 3*v)*(-3*v**2 - 2*v**2 + 4*v**2)).\nAnswer: -234*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20002 - -11?\nAnswer: -13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*c - 176 = 0, -p - 17*c + 15*c = -95. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13))**(-50)*(b\/b**7)**37 assuming b is positive.\nAnswer: b**428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6653*m**2 - 198*m - 1289. Let j(f) = -19958*f**2 - 561*f - 3870. Let b(o) = -6*j(o) + 17*q(o). What is the first derivative of b(g) wrt g?\nAnswer: 13294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 235*l**2 - 2130*l - 12600.\nAnswer: -5*(l - 30)*(l - 21)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 2*o + 14. Let f be q(-5). Suppose 5*r - f = 1. What is the lowest common multiple of r and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345 - -350. Solve -20 = a*v - 15*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -59*q**7\/70 + 85*q**3\/6 + 9*q**2 + 8. Differentiate y(w) wrt w.\nAnswer: -708*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -244?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11618363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20203315 - -30?\nAnswer: -20203245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 3*d**2\/2 + d. Let i = -11 + -79. Let f = i - -95. Determine g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 68\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + 1000058505731\nAnswer: 1000058505731.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Suppose -28 + 3 = -h*j, 0 = -5*g + 5*j. Let q(c) = -c**3 + 5*c**2 - c + 4. Calculate q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 35463113?\nAnswer: -35463117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 14*z + 11. Calculate g(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 1. Let z(l) = -3*l**3 + l**2 - l + 15. Let d be z(0). Suppose -4*j - 4 = 0, 4*h - j = 2*h - d. Is m(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*l + 45*l - 11*l in the form b + t*l and give t.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**3 + 5*i**2 + 5*i + 5. Let y(d) = 8*d**2 + 8 - 259*d**3 + 8*d + 546*d**3 - 273*d**3. Let x = -1 - 7. Determine x*h(u) + 5*y(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -745\/4 - -185. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**5 - 2*m**2 - 3*m - 2. Suppose 14 - 6 = -4*n. Let s(d) = d**3 + d**2 + d + 1. Let z(k) = n*y(k) - 4*s(k). Factor z(u).\nAnswer: 2*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50321 (base 10) to base 11\nAnswer: -34897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -501 divided by -1\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3251226 divided by 66.\nAnswer: -49261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19816.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*g, -4*d = -7*d + 4*g. Suppose 24*t - t - 11960 = d. What are the prime factors of t?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1153*s**8\/336 + 9*s**5\/10 - s**4\/6 - 470*s**2 - 4*s. What is the third derivative of a(v) wrt v?\nAnswer: 69180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3465.46 times 58?\nAnswer: -200996.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*v**3 - 89*v**3 + 3*v**2 - 3*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420 + 7*h**2 + 484 + h**2 - 6*h**2 - 264 to s*h + p + k*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3 + 2*y + 1 - 5. Let h be z(5). Let x = h + -3. Solve x*d + 3*d - 13 = 2*w, 4*d - w - 19 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 46 - a**2 + 22 + 18. Determine l(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 + 2.6. Is -0.07 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k + 4. What is the remainder when y(-3) is divided by (-45)\/12*32\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9 = s + 10, z - 2*s = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 + 4*u**3\/9 - 2*u**2\/9 - 4*u\/9.\nAnswer: 2*u*(u - 1)*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/(-99)*(-1)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*x + 814, c + 38 - 445 = -4*x. Calculate the smallest common multiple of c and 370.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/7 (b) 4\/5 (c) 0.3 (d) 10 (e) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 82374.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s. Let g = 40 - 37. Let f(n) = -g*n + 5*n - 3*n + 3*n. Give f(w(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*f = -41*f - 46*f - 501. Solve -155*g = -f*g + 72 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/7)*(-25)\/((-2100)\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4 + -7.4. Which is the smallest value? (a) 0.2 (b) -1 (c) s (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (4*sqrt(76)*2*-4*2)**2)*4.\nAnswer: 1245203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5044*m + 84491 + 78779 = -2067*m + 28161 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/4*3\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0*r**6 + 0*r**2 + 3*r - 1\/3*r**3 + 0*r**5 + 2\/21*r**7 + 0*r**4 + 0. What is the second derivative of w(l) wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 6. Let u(t) = 7*t + 11. What is -7*p(f) + 4*u(f)?\nAnswer: 7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, k: 4, g: 2, l: 6, y: 4}. Give prob of picking 1 y and 1 l.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2*5 - (32 - 32). Let c(k) = 18*k**3 + 4*k**2 - 2*k + 5. Let y(w) = -53*w**3 - 11*w**2 + 6*w - 14. Let t(g) = i*c(g) + 4*y(g). Calculate t(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -2. Let z = 4.2 + p. Let v = -0.4 + z. Which is the biggest value? (a) v (b) -2\/15 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 13*q**6\/120 + 5*q**4\/24 - 7*q**2. Find the second derivative of g(c) wrt c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l + 26. Does 15 divide b(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 36*f**2 - 46*f - 315. Let z be i(-37). Calculate the highest common divisor of 2400 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25514 = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzizsiizz. Give prob of picking 1 z, 1 s, and 2 i.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(7\/(-12) - (-3)\/12). Which is bigger: r or -128?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74\/3 - -24. Let g = 7.3 - 16.1. Let y = g + 7.8. What is the closest to -1\/4 in -2, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20933*u + 1644. Let g be f(8). Round g to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314793 and 61.\nAnswer: 19202373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 3*o - 1. Let f be m(-6). Let a = -29 - f. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) -0.2 (c) 20 (d) -6 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vooqoqzqoom. Give prob of picking 2 q, 1 z, and 1 m.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57222*k**4 + 137893.\nAnswer: 228888*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3546 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 486691050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*t + 47481750*g**2 - 3*g*t - 2*t + 426246 wrt g.\nAnswer: 4*t + 94963500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 + 7*f + 7. List the prime factors of h(7).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 7*v**2 + 3*v + 4. Suppose 5*n - 12 = -4*z + 9*n, 0 = -3*z + 4*n + 5. Give f(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by (-2 + 0)*(-2277)\/198.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10912, -21761, -32610, -43459, -54308?\n\"Answer: -10849*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 17. Let w = 36.00024 - p. What is w rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10760500 is divided by 804?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 7. Suppose 2*a - 4*a = 24. Let q(b) = b**3 + 11*b**2 - 14*b - 18. Let s be q(a). What are the prime factors of v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 40 = 6*q. Suppose -4*n = -16, -642 = -q*u + 3*u - 3*n. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/351 + 1397\/2457. Put q, -5, -0.7 in descending order.\nAnswer: q, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 1, a: 1}. What is prob of picking 2 a and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753622.\nAnswer: 2, 937, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 + 7 = 2*t, 3*t - 18 = 3*u. Calculate the remainder when 85 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113313881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*g = -0*y - 88, 176 = 2*y - 5*g. What is the highest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297568, -297569, -297570?\nAnswer: -297571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -8 - (1 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4088\/9 - 460. What is the common denominator of -5\/87 and w?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**(-2\/13))\/((w*w*w\/(w**(-6\/7)\/w)*w)\/w*w*w**(-3\/10)\/w)*(w**(-2))**11\/(w**(-2\/9))**(3\/14) assuming w is positive.\nAnswer: w**(-64601\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-24))\/(3\/(-9)). Let r be (-48)\/15 + 1\/5. What is the second biggest value in 1, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*q**2 + q**2 + 4*q**3 - q**3 - 5*q**3 - 2*q**4 to the form x*q + s + y*q**3 + l*q**2 + c*q**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 138, 316, 586, 948, 1402, 1948?\n\"Answer: 46*o**2 - 52*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -5. Solve -4*d = b + 7, d + 5*b = -8 - v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 + 5772*v + 5768 = 0. Calculate v.\nAnswer: -1442, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-7 - -1) + 43. Solve l*z - 49*z + 44 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 + 2*w + 1. Let i = 0 - 4. What is the remainder when 15 is divided by t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -39. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 + -229. Let m = 290 + v. List the prime factors of m.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 99*a**2 - 99*a + 104. Let v be w(-100). Solve 38*b - 12 = 34*b - 4*n, v*b - 19 = 3*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-16020)\/(-534).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:01 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 25, 37, 49, 61, 73?\n\"Answer: 12*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*d**2 + 726*d**2 - 572*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303\/1727 + -1\/157. Put -3, 0.4, q, -10 in descending order.\nAnswer: 0.4, q, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:48 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (25 + -6)) + -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2083.74 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*b**2 + 2\/9*b**3 + 0 + 10\/9*b.\nAnswer: 2*b*(b + 1)*(b + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-2)\/2 + -2. Let g = -7 - -6.97. Let l = g - -1.03. What is the third biggest value in -2, x, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*f + 20, 13*l + 15 = 12*l + 4*f. Suppose -4*p - p + 2*y = -44, -l*p - 2*y = -56. Sort 5, -3, p in increasing order.\nAnswer: -3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1670.63, 1\/4, 1\/2, -1\/6, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 9*s**3 - 1 + 5*s**2 - 8*s + 4*s**3 - 7*s**3 - 5*s**3 - 4*s**2 to u*s**4 + h*s + g*s**3 + d*s**2 + w and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875468 divided by -312578?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5995 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 320 + -322. Let v = 7.7 - 8. Do f and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hpxcgxphcecp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7.9. Let f = -539 - -534. Which is the third smallest value? (a) -0.11 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10570 - 10074 - 58*h - 7*h**2 + 2*h**2 wrt h?\nAnswer: -10*h - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(26) - sqrt(156)\/sqrt(6))*5 - -3*sqrt(650))\/(2*((sqrt(550) - (sqrt(550) + (sqrt(550) - (sqrt(550) + sqrt(550)*1)))) + sqrt(550))\/sqrt(11)))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38073 - 36593. What is the least common multiple of f and 16?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116296\/27 or -4307?\nAnswer: -4307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 161?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 - 12*i + 14. List the prime factors of q(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 15 - 15 + 7*v. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2701 * 209.6.\nAnswer: 566129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j. Let r(b) = -b**2 + 1. Let m = -4 + 8. Let s(z) = -5*z**2 - z - 1. Let h(w) = m*r(w) - s(w). Calculate h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 0*a**2 - a + 0*a + (a**2 + 2*a**2 - 2*a**2)*(-23 - 19 + 29).\nAnswer: -15*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/4, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - -241. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u**4 + 0*u - 1\/210*u**7 + 40*u**2 + 0*u**3 - 1\/20*u**5 + 0 - 1\/30*u**6. Let o(c) = 0. What is c?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/7 + (-2704)\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -21 + (-82)\/42)*(26 - 33)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/50)\/(6\/(-15)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*v**5 + 34*v**2 - v**2 - 40*v**5 wrt v?\nAnswer: -1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*z - 31315 + 4909, -4*a - 44010 = -5*z. Suppose 2*p**4 - 1782*p**2 - 448*p**3 - 6*p**4 - 777924 - 148176*p + 112*p**3 - z*p**2 = 0. What is p?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**3 + 404*z**2 - 6*z - 12. Let j(v) = v**3 - 13*v**2 + v + 2. Let o(n) = d(n) + 6*j(n). Factor o(g).\nAnswer: -g**2*(g - 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -114\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -153\/4535116?\nAnswer: -153\/4535116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)**(-41))**(7\/4)\/((h\/(h\/(h\/h**1))*h)**(-6\/7))**(-22\/7) assuming h is positive.\nAnswer: h**(13799\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.5 (c) 5 (d) -2 (e) 930\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:06 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5134? (a) 1\/10 (b) -6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500*t**3 - 18*t**2 + 909*t**3 - 190*t**3 wrt t.\nAnswer: 7314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 256. Let h = c + -521\/5. Let d = -47\/8 + 321\/56. What is the closest to 1 in 5, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700928729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h - 3*h + 4 - h**2 + 7*h - 4*h. Determine k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -24, -97, -200, -333, -496, -689?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 + 25.8. Let a = -295.2 + 259. Let s = a + v. Round s to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + y - 14992 = 0, -4*t - 43*y + 39*y = -14968. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**3 - 10*l + 2. Let j(n) = 5*n**3 - 4*n + 1. Let x(a) = 7*j(a) - 3*s(a). Let b(i) = -4*i**3 - i - 1. Determine 4*b(q) + 3*x(q).\nAnswer: -q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.7 - 175.3. Let t = -203.05 - v. Let q = -0.05 - t. Which is the biggest value? (a) -0.3 (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 8*i + 8. What is the remainder when 22 is divided by q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*p + 2*h - 18 = -151*p, -5*p - 23 = -h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-18)\/(-9)) + 13. Let z(g) = -2*g - 4. Let i be z(-3). Let c be (i\/4)\/(1\/48). Calculate the highest common divisor of x and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33128.1 + -33129. Let j = 0.07 + -0.07. Let k = j + 0.5. What is the nearest to o in 5, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 10*l**2 - 12*l - 19. Let r be s(11). Let c be 2\/5 + (-168)\/r. Solve -d = -3*x + 11, -5*d + 45 = c*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(10) - sqrt(500)\/sqrt(2)))\/(sqrt(144) + (sqrt(144) - 3*sqrt(144))*-5) + 2.\nAnswer: -sqrt(7)\/264 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19144*n**4 + 9727.\nAnswer: 76576*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16602.13 years?\nAnswer: 166.0213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. Suppose 3*b - 33 = 27. Let u be 16\/b + 34\/(-5). Put u, t, -5 in increasing order.\nAnswer: u, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041 by -586.\nAnswer: -1041\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -23. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380230 is divided by 196.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 213*f**5\/20 + 357*f**2\/2 - 25*f - 6. Find the first derivative of h(s) wrt s.\nAnswer: 639*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44\/207 - -10\/23. What is the second biggest value in z, 0.3, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, j: 2, c: 2}. Give prob of sequence pjc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416\/199 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9324564*m - m**3 + 9324535*m + 3*m**3.\nAnswer: 2*m**3 - 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 79\/2 of a century?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from qdydqkdd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-1)\/2*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + 16\/40. Suppose t = 16*g + 7174 - 19270. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*5 - (sqrt(7)*-2 + -2))*4)**2.\nAnswer: 1728*sqrt(7) + 81712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 23*l - 38. Let x be s(-21). Let i be 4*(-35)\/(-200) + (-2)\/x. Let t = 396 + -1986\/5. What is the smallest value in i, 0.4, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49848.\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3*-1)\/((-21)\/2))\/(255\/2509710*-37).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12828 and 691.\nAnswer: 88.64148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6 - 6 - 0) + 2 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33012223220 (base 4) to base 16\nAnswer: -3c6ae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(2 - (-5)\/(-2)). Suppose -3*s - 4*i = s + 52, 4*s = -5*i - 56. Suppose -4*y - y + 3*w = -1, 3*w + 3 = 3*y. Put s, y, f in decreasing order.\nAnswer: y, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 83*y**4\/8 - 85*y**3\/3 - 9*y**2. Is s(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 3302?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/11 - 5\/66. What is the second biggest value in 3\/11, -3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*1421*519\/42385.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -285, -102, 81, 264, 447, 630?\n\"Answer: 183*f - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1092537, -1092550, -1092563, -1092576?\n\"Answer: -13*g - 1092524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 406613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 25. Let q = l - 9. Round q to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -78. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1189022 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-4) + (3 - 5). What is the second smallest value in 4, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 711*r**2 - 21*r + 4. Let j(y) = -474*y**2 + 15*y - 3. Determine 7*j(k) + 5*v(k).\nAnswer: 237*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*h + 3*r, 25*h = 30*h - 7*r - 34 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198258 or -991289\/5?\nAnswer: -991289\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*y - 95*y = -106*y - 10030 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -2)\/(4\/2). Let l(p) = 4*p**2 + 30*p + 54. Let i be l(-5). What is the first derivative of 29*c**i - 33*c**4 + 2*c**3 - q*c**3 - 14 wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-16 + 6 - -5) + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793037649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:17 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - c + 11 = 2*q, -c + 27 = 4*q. Let w = 5 - q. Let s be 6\/2 + w - -3. Solve 4*f - 35 = 3*y, -f + 4*f = -s*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -9, 42, -1, 672 in decreasing order.\nAnswer: 672, 42, -1, -9, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1)**(-25)*(m**(2\/3))**(-10))\/((m**4\/m)\/m**(1\/2)*m**7*(m\/m**2)\/m) assuming m is positive.\nAnswer: m**(-535\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + (-20 - -7) + 8) - 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8895, 118, -2 in ascending order.\nAnswer: -3, -2, 118, 8895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 - (21 - 115 - 21). Calculate the highest common divisor of q and 12198.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -3 in ascending order.\nAnswer: -3, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1\/6 + (-521)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6872?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 22*d**4 + 30*d**4 + 4*d**2 + 2 wrt d?\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2 + -2)*(95 + -260). Let b be 1 + 243 + 2\/(-1). Let m = b - z. Calculate the remainder when m is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1780817?\nAnswer: 10\/1780817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and 302.\nAnswer: 8456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/18)\/(12\/(-9)*1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 19 + 1 = -4*b, 0 = -4*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*t - 3*t + t + (1 + 20 - 7)*(17*t - 8*t - t).\nAnswer: 110*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728*c = 734*c - 1242. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -8. Suppose 3*d = u - 0*u + 152, -2*u = 10. What is the remainder when d is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 175. Let h = 0.44 + -0.04. Which is the second smallest value? (a) 1 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*i + 187, 0*d + 4*d = i - 23. Let s = i - 6. Suppose r - s = 4. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a kilometer in meters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - 3?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 612 divided by -394\nAnswer: -306\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634967 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 217 = -767. Let o = k + 1208. Suppose -o = -4*y - 4*a, -y + a + 425 = y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9)*(-5295)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -5.9, -3, 160, -4 in ascending order.\nAnswer: -5.9, -4, -3, 1\/10, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6012 and -7\/12024.\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377583 is divided by 1174?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14384.8 rounded to the nearest 100?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -11. Let g be 2\/n - 16\/(-9). List the prime factors of -6*(4\/3 - g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 511*n**2 - 7*n**4 - 511*n**2 + (4*n - 2*n**2 - 4*n)*(-n**2 - n**2 + 3*n**2).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/9*v**3 - 4\/9*v**4 + 4*v + 0 - 20\/3*v**2.\nAnswer: -4*v*(v - 3)**2*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59082 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - j - 55 = 0, 2*d + 3*j = 14 + 31. Let i be d\/(-45)*0\/1. Let z = -26 - -36. Solve i = 5*t - z - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -4*a**2 + 0*a + 1\/12*a**4 - a**3 + 0. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -570 + -89?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942138 divided by -9.\nAnswer: -104682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1636847*t**2. Let p(h) = -3*h. Determine p(y(x)).\nAnswer: 4910541*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-six fifths of a kilometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0.2 (c) -5 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -0.5, 0.33, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19.3. What is the biggest value in 1\/9, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 2. Is g(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 3. Let r be y(0). Let z be (0 + r)*(-1)\/(-4). Let m = 166 - 1828\/11. What is the smallest value in m, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 853032301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtqqqtqttqt. What is prob of picking 4 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 12. Let v = 3 + m. Suppose v = -5*u - 2*w + 10, 2*u - 6 = -u + 5*w. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6828)\/7966)\/(30\/56)*(-3)\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-4)\/6*-3. Let s(d) = 6*d**2 + 3*d + 2. Let n be s(c). Let g(h) = -3*h**2 + n*h**2 + 1 + 2 - h - 1. Determine g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 420.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -89\/4. Is 2 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 34.2. Let g = r + 5. Which is the second smallest value? (a) g (b) -4\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176512303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.1 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147.25 + -147. Let f = n - 0.15. Which is the second biggest value? (a) f (b) 35 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 0, -4*w + 12 = -3*n - 2. Solve 26 = w*t + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*b - 459*b = -154*b + 2730*b + 68951 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4851689\/130 - -37321. Calculate the common denominator of 49\/312 and i.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*f**2 - 431*f + 7*f**3 + 4*f**3 + 2*f**4 + 433*f - 1 + 18*f**2 to the form m*f**2 + b*f**4 + o + i*f + s*f**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -4\/13 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 6*u + 56. Is (-11809)\/(-14) + (-10)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:03 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 0*o**4 + 1\/10*o**5 + 0*o**2 + 1\/6*o**3 - 4*o. Find the second derivative of c(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a5 - 4?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 24?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/(39\/74)*-138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d + 22*d - 10*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 15 = 0. Let r(m) = -m**2 - 12*m - 17. Let h be r(-9). Let z be (-6)\/h*80\/60. Which is the nearest to -1? (a) 2\/5 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00668 and 25280.\nAnswer: -168.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-111 - -108)\/(-3 - (2 - 3)). Solve p - 15\/2*c**2 - 2*c**3 - 4*c = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/360 - u**3\/9 - 117*u**2\/2 - 12*u. Let w(b) be the first derivative of y(b). Factor w(g).\nAnswer: (g - 2)*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 0.4 (b) 0.3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 10*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 269498856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-90)\/440)*7\/(-126)*-27.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*z - 18 + 87, 0 = -5*c - 2*z - 145. Let x be (c\/(-81))\/((-26)\/(-12) - 2). Solve -4*k + 7*k + 1 = j, -3*j = -x*k + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 5 - 2*f**2 + 3*f**3 - f**3 to the form w*f**3 + l*f + j*f**2 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 64 - 62)*(-4 - u + 4) in the form s + k*u and give k.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/70 + (-4)\/(-30))*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1913\/155 + -8\/31. Let l be (45402\/(-70))\/(2\/10 + -1). Let q = -800 + l. Find the common denominator of q and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -6\/5 (c) -1\/3 (d) -20 (e) -0.3 (f) 7 (g) -2\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -42, -45, -48?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - 3\/(-63). Let k = -16594 - -16671. Put k, c, 5 in descending order.\nAnswer: k, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-30)*(-111)\/(-148).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v + 2. Give w(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 2*j**2 - 3*j**2)*(3 - j - 3) + (-4*j - j + 2*j)*(2*j**2 - 3*j + 4*j - j**2).\nAnswer: -2*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -5, 8, -0.2 in descending order.\nAnswer: 8, 3, 0.3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -426, -7 in ascending order.\nAnswer: -426, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 771, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 394327744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*m + 14, 4*m = 4*g - 0*m + 12. Suppose 5*l = g*l. Solve -5*w + 1 = -2*r, -2*w + l*r = -2*r + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 129*r + 31. Let y(o) = -258*o - 69. Give 9*i(u) + 4*y(u).\nAnswer: 129*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Solve -o = -1 + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.44. Let l = 0.24 - w. Let i = -274.9 - -275.4. Which is the second smallest value? (a) i (b) l (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(91 + 584)*-84.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = h, -20 = -h + 4*p - 8. Suppose -2*f - 8 + h = 0. Find the third derivative of -13*w**f - 12*w**6 + 34*w**3 - 34*w**3 + 51*w**6 wrt w.\nAnswer: 4680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w - 9405. Let m(f) = -f + 643. What is h(m(a))?\nAnswer: -10*a - 2975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4495, -340, -1\/3 in increasing order.\nAnswer: -340, -1\/3, 3\/4495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 485 (b) 4 (c) -1\/4 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2 + (2 - 41). Let d = -24 - v. Calculate the highest common divisor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 2*n)*(4 + 0 - 5)*(-n**3 - n**3 + n**3 + 3 - 3 + n**3 + (-3*n**3 - 4*n**3 + 6*n**3)*(2 - 1 - 2) - 186*n**3 - 3*n + 184*n**3 + 114 - 126).\nAnswer: -n**4 - 3*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*p**3 - 28*p**3 - 9*p**3 + 202*p**2)*(-58 + 58 + 2*p).\nAnswer: 8*p**4 + 404*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueququuzzucczutuqt. Give prob of sequence cqzq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11936*x + 29 = h - 11939*x, 0 = 4*h - 5*x - 109 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o + 1. Let l be v(-1). Let p(f) = -8*f**3 - 1. Give p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1426 and 99\/2.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.8263 decades to months.\nAnswer: 87459.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus 0.223602?\nAnswer: -0.183602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = 4*z - 118. Let y = 65 + z. What is the remainder when 77 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 5*i - 2*i)*(-2 - 2 + 3)*(-3*i - 3*i + 5*i + (-11 + 0 - 19)*(-3 + 3 - i)).\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011867 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**3 + 6*j**2 - 8*j. Let i(c) = -3*c**3 + 5*c**2 - 7*c. Let f be 3 - 0 - (-6 - -3). Calculate f*i(u) - 5*z(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8975520140 + -33.827.\nAnswer: -8975520173.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -68.9 times -5015\nAnswer: 345533.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -20\/7, 0.2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from mvvvhvmmvmmvhhm.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1025 + 1022. Which is the second biggest value? (a) r (b) 0.4 (c) 2\/121 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 2*r + 7*m - 8*m - 17 = 0, -12*r + 14*m = -11*r - 125 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1192344\/707 or -1685?\nAnswer: -1192344\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 5 - 2 - 4*p - 2. Let d be 1*(-4)\/2 - 1. Does 11 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/11)*j**(-1\/26)*j)\/(j\/j**(1\/36)*j*j**32*j) assuming j is positive.\nAnswer: j**(-172747\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 2. Let v be x(4). Let n be (v\/9)\/((-2)\/(-15)). Suppose -5*i = 0, n*y + 6*i = 4*i + 10. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*h - 293 = 0, -398 - 37 = -5*u - 5*h. Suppose 2*j - 9*j + 91 = 0. What is the highest common divisor of u and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3672*u**2 - 34*u + 57 wrt u.\nAnswer: -7344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -99. What is the third smallest value in 2, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-6) + (209\/33)\/(-19). Solve 19*d = 16*d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/6 - 4948\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-303)\/(-6))\/((-18)\/(-72)). Find the third derivative of -r*c**2 - 79*c**2 - c**6 + 3*c**4 - 2*c**3 - c**4 + 2*c**3 wrt c.\nAnswer: -120*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 2*w**2 + 2. Let b be z(-2). Suppose -18 = -4*k + b. Calculate the remainder when k is divided by 3 - ((-6)\/10 - 2\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-20)*-2 + 174\/(-145).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -22) + -10 + (-1 - 1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 - 10*u - 14. Let c be a(-4). Suppose -c*v + 168 = -407*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6\/7, 3\/7, 0.5, 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4648515471.00000019 - 4648515490. Let h = b + 19. What is h rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 5*j + 9. Let f(d) = 4*d**2 - 2*d + 4. Suppose -13 + 21 = -2*u. Let z(m) = u*t(m) + 9*f(m). Let x(g) = -g**2. What is 12*x(v) + z(v)?\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*q - 44 = -142*q. Sort q, -11, -3, 0.\nAnswer: -11, -3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*w + 116*w - 322 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4209974 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 9260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27495 + -27504. Put 5, 24, x in descending order.\nAnswer: 24, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9050 and 1700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5541 + 5548. Let t(f) = 9*f**2 - f + 10. Let g(l) = -3 + 4*l**2 + 4 - 7*l**2 - 4. What is z*g(y) + 2*t(y)?\nAnswer: -3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880138.\nAnswer: 2, 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1, 8.4, 4, -47, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155572 = -86*h - 3*h. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Suppose g = -3*j + 66 + 561. Suppose 0 = -b - 66 + j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101001100101001011000 (base 2) to base 12\nAnswer: 1a3b908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/572 and -1\/1527604.\nAnswer: 16803644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahhhhhahhahha. What is prob of sequence aha?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-246)\/(-30) - 8*(-1)\/(-40). What is the closest to s in 3, -1, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130558807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 12*v + 106. Let p be j(17). Solve 5*u + 4*x = -0*u + p, -3*x + 22 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 1243.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 12, -4, 64 in descending order.\nAnswer: 64, 12, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/14604639 and -29\/294?\nAnswer: 204464946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (380\/20 - 17) + -1. Which is bigger: l or -2\/6339?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*l - 4819*g**4 + g**3 - 5*g**2*l + 4*g**2 - 7*g*l + 9*l wrt g?\nAnswer: -24*g*l - 115656*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Let o = 9.03 - 9. Let z = 0.27 + o. What is the nearest to 0.2 in z, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 - c. Let j be k(1). Let y(p) = -p**3 - 6*p**2 + 6*p + 10. Is 8 a factor of y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7402731 or -7402718?\nAnswer: -7402731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = 2*q, 0*p - p + 2 = 0. Calculate the remainder when (7\/q)\/((39\/18)\/(-13)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 + 5 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 69, 91, 97, 81, 37, -41?\n\"Answer: -s**3 + s**2 + 36*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 32 - 11 = 0. Suppose -25*i = -30*i. Suppose i = 5*s + 4*l - 6, 3*s - 5*l - 13 + 2 = 0. Calculate the lowest common multiple of c and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 9*q = -6*q - 12, -j + 5*q - 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-2)\/(-1)) - -3. Suppose 4*z - o + 6*o = 34, h = o. Suppose 0 = w - 2*x - 12, -w + 5 = -4*x - 7. Calculate the greatest common factor of z and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6713*l**2. Let o(t) = -3*t**2. Give o(r(j)).\nAnswer: -135193107*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/38 greater than or equal to 0.13756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15*k = 18*k + 141, -192 = -4*v + 5*k. What is the remainder when 106 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12191, 12188, 12185, 12182, 12179, 12176?\n\"Answer: -3*r + 12194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20044?\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491676500 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579973763 to the nearest integer?\nAnswer: 24083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:49 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23333 + -210?\nAnswer: 23123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/12 - 13*x**3\/6 - 450*x**2 - 1. Let n(y) = y + 6. Let f be (13 + 0)\/((-1)\/(-1)). Determine f*n(z) + 6*m(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + u**2 - 4*u**2 - 2*u)*(-7 + 7 - 7*u).\nAnswer: -7*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = -23*o + 152 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 3*p - p + p - p - 2*p + p - p + p + (-1 + 0 + 0)*(2 - 2 - 2*p) + (-1 - 9 + 0)*(3 - 3 + p) + 4 - p - 4.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, 19.888?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**3\/6 + 3*f**2\/2 + 8*f. Calculate a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 22*y - 15*y - 13, 0 = 5*v - y + 31 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -323428?\nAnswer: 323423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 0 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*m**4 + 0*m - 71*m**4 + 2 - m - 3*m**3 + 20*m**4 to h*m + c*m**4 + l*m**3 + p + o*m**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = -3*h, 6*o + 4*h = o + 8. What is the first derivative of -8 + 0 + 0 - o - 12*m**2 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 104 = g, -q - 2*g + 29 = -3*g. Suppose -2*s - j - 33 = 0, -2*s + 3*j = 8 + 21. Let u = s - -23. Calculate the remainder when q is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 6*x**2 + 7*x + 4. Let z be i(7). Suppose 5*n - 23 = -2*o - 0*n, 24 = -4*o + z*n. Is 748\/2 + o*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/109564*-43*4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 525353335 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 9, 2 in ascending order.\nAnswer: -3\/11, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1153 by 4.\nAnswer: -1153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*z**2 - 133131*l**2 - 44878*l*z with respect to z.\nAnswer: -2*l**2*z - 44878*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 3 + 57 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44368 and 40.\nAnswer: 221840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2300 * -0.04\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -31, -61, -83, -85, -55?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 4 + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518017?\nAnswer: 7, 645431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55.9 - -55.7. What is the closest to 0 in -12, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let d(f) be the third derivative of f**5\/60 - f**4\/12 - f**3 + 2*f**2 - 5128*f. Determine d(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 107.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 20, -1, -6, 91376 in ascending order.\nAnswer: -6, -5, -3, -1, 20, 91376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -565352?\nAnswer: 565403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3 - 2*i**2 + 6*i**3 + 0*i**2 wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3 + 303*w**2 + 7254*w = 0.\nAnswer: -62, -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 37979.85 weeks?\nAnswer: 265858.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/(d*d**(-2\/17)\/d))**(-28))**(-39) assuming d is positive.\nAnswer: d**(20748\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/((-441)\/(-42) + -12). Which is the second biggest value? (a) -13 (b) -2\/17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 73*z**6\/360 + 49*z**4\/24 + 3*z**3\/2 - z**2 - 20*z. Let q(d) be the second derivative of o(d). Differentiate q(u) wrt u.\nAnswer: 146*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/60 + 2*m**5\/15 + m**4\/12 - 2*m**3 + m**2 - 7. Factor p(n).\nAnswer: 2*(n - 1)*(n + 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -140\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5 + -1*sqrt(1088) - sqrt(1088)) + 1) - (2*-3*sqrt(68))\/(-4*(sqrt(4) - sqrt(4)*3 - sqrt(4))))**2.\nAnswer: -198*sqrt(17) + 18657\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from lzlzzzhzhuzyzll.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3876.6 - 3876.634138. Round x to 4 decimal places.\nAnswer: -0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyuuyuyuyyyyyuyuuy. What is prob of sequence yjy?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 9.71787\nAnswer: 116.61444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5*(9 - (-402)\/(-45)))\/((-1)\/(-21)). Let r(y) = -y - 2. Let m(b) = -2*b - 2. Determine a*m(j) + 6*r(j).\nAnswer: 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 + 13*z**4\/24 + 2*z**3\/3 - 6*z**2. What are the prime factors of n(11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/128 (b) 108960 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/101, 0.05, 3 in increasing order.\nAnswer: -1\/101, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 - 2*z + 8. Let h(x) = -2*x**3 + 10*x**2 - x + 18. Let l(q) = 2*h(q) - 5*j(q). Let l(y) = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbofo. What is prob of sequence bf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 16218700 to the nearest 10000.\nAnswer: 16220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*o**4 - 407282*i*o**3 + 2*i*o - 2291*o**2 wrt o.\nAnswer: 24*i*o - 2443692*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -356 in -0.5, 2, -0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78431?\nAnswer: 107, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -16 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 3, -22 in descending order.\nAnswer: 132, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 248072 divided by -124036?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.9 (b) 0 (c) -5 (d) 188 (e) -2\/9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*4\/6)\/(-2). Let i = 5 - y. What is the smallest common multiple of i and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and 13482.\nAnswer: 13497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/480 - x**5\/16 + 9*x**4\/2 - 248*x**3\/3 - 7*x**2 - 20*x. Determine c so that m(c) = 0.\nAnswer: -31, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5400 and 168?\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*m - 168*m = -426*m - 1700 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 126 - 54 = 5*o, 4*q = -3*o + 52. Let r = 12 - -13. Solve 0 = r*g - 31*g + o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67\/100 - -2\/25. Let n be (-38)\/60 - 1\/(-2). Sort t, n, -1 in decreasing order.\nAnswer: t, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*u**3 + 0*u**3 - 3*u**3)*(-u + 2*u + 0*u) - 5*u**4 + 2*u**4 + 4*u**4 - u**4 + 0*u**2 + 0*u**2 - 2*u**4 + 2*u**4 - u**4)*(8 - 3 - 2).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 4*g - 52, -g + 9 = -469*y + 465*y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 126 - (-1 + -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4493 - 2648. Does 41 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 19 = -18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 9071, -3?\nAnswer: 9071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -28, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:25 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(95)\/sqrt(5) + -4 + 2)**2.\nAnswer: -12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(48))\/sqrt(4) + (sqrt(192)\/sqrt(4))\/sqrt(4))\/(sqrt(400) - (6*(sqrt(400) + -2*sqrt(400)) + sqrt(400) + sqrt(400)) - sqrt(400)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95.0000213 + 95. Round v to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1373 = -g + j, 5*g = -5*j + 3455. Let t = -193 + g. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14307091549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**2 - 1 + 1 - 3*o + 3*o + 2*o**2 + 4*o**2 - o**2 - 4*o**2 + (2*o + 2*o - 2*o)*(2*o + o - o) to z + b*o**2 + k*o and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n - 68. Determine k(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 19, 4, -2, 0.5, 4.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*i + 220 = 0, 0*i + 2*i - 130 = 3*n. Calculate the common denominator of (-10)\/(-12)*(-84)\/n and 109\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2032388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.1 (c) -0.14 (d) 2\/37 (e) 1698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9 = -x. Let l = 40 - 38. What is the lowest common multiple of -3 + l + 2 + 2 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25*d - 11. Let q(h) = 37*h - 16. Determine 7*c(a) - 5*q(a).\nAnswer: -10*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/t)**14\/(t**(-2))**(-27) assuming t is positive.\nAnswer: t**(-194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)\/(w*(w*w**(-4))\/w*w*w*w*w)*(w**(-2\/9)\/w)\/(w*w*w**0))\/(((w\/(w\/(w\/w**3)))\/w**(-3))\/(w**(-2\/13)\/w**5)) assuming w is positive.\nAnswer: w**(-4505\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 103, 124, 145?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 49. Let c be ((-97)\/(-5))\/(-3*(-8)\/(-60)). Let y = c - -49. Is i < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/210 + k**3\/21 - 3*k**2\/2 + 3*k. Let p(z) be the first derivative of g(z). Let p(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3*y**2 + 753054774*p**3*y + p*y**3 + 2798964*y**3 wrt y.\nAnswer: -12*p**3 + 6*p*y + 16793784*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(162) + -1))**2 + -1 + sqrt(242).\nAnswer: -5*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 1, 21, 231, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)*1*20\/(-8). Solve -4*u + 4 + 6 = -2*i, -3*i + 7 = v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 577156, 577155, 577154, 577153?\n\"Answer: -o + 577157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 137 = 2. Calculate the least common multiple of 21 and a.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -12.7. Let u = -0.1 + 0.1. Let q = -2 + 1. Which is the closest to 0? (a) q (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1311 - -1328. Let c be -1*1 - (3 - 6). What are the prime factors of b\/35 + (c - 36\/15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 + 3 - (-1 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -195736744 divided by -2\nAnswer: 97868372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45 - 3) + 0 - 1. Let w = 86 + c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-11)\/n))\/(n\/n**(-16))*n**(1\/11)*n\/(n*n*n**2) assuming n is positive.\nAnswer: n**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-633)\/36*(-216)\/144. Is 25 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -372 or -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 4)\/(10\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 - (-306)\/(-30) - -8)*-35 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -12064 divided by 32?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.17 + 7.17. Let n = -23\/104 - 2\/13. Let k = -3.7 - -3.2. Which is the fourth smallest value? (a) k (b) n (c) 3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k - 51. Let f(g) = 10*g - 76. Determine -7*a(c) + 5*f(c).\nAnswer: c - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-35)*7 + -5. Sort -5, k, 4.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15148 = -18293. What are the prime factors of v?\nAnswer: 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 22 = -0*q. Let t = q - 7. Suppose 8*l + 6*l = 70. What is the remainder when l is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 516838.\nAnswer: -1\/516838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*z + 22 - 3 = 0, 0 = z + 2. Suppose -q - 11 = -4*w. Find the second derivative of -w*k + k + 3*k - 2*k**5 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((4368\/143)\/(-24))\/((-12)\/44)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -16*j**2 - 28*j - 1288. Let b(d) = 3*d**2 + 5*d + 230. Let u(q) = -28*b(q) - 5*c(q). Let t(g) = -119*g. Calculate t(u(p)).\nAnswer: 476*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 264083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2892286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 5871784*m + 35230776.\nAnswer: -2*(m - 6)*(m + 2935898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33336.5 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k. Let r(z) = -168*z**2. What is t(r(n))?\nAnswer: -28224*n**4 - 840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -3) + 1 - 3. Solve -5*b = 4*o + 32, 0 = -d*b + o + 2*o - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3200002303 (base 4) to base 6\nAnswer: 31400311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b*i - 16*b + 310*i**2 + 734*i + 1210090 wrt i.\nAnswer: -8*b + 620*i + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -20. Suppose o - 1 = 1. Suppose 10 - 4 = o*k. Solve l*h - 6*h - 5*f = -10, -5*h = k*f - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/5)*24*(-8)\/(-576).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 3*d + 274 = 3*c, -3*d - c - 31 = -5 + 18 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2472 * 466\nAnswer: 115.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.03 (b) -5 (c) -3\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082419342 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o - 4*o + 325945 = 23*o. What is the highest common divisor of o and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -2.7.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -4355\/131?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9276 is divided by 333?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778322251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -33, -6, 1, -18, -69, -158?\n\"Answer: -z**3 - z**2 + 51*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -90 + 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*p - 1031*p + 14*p**2 + 513*p.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:24 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -a - 14, -2*w - 10 = -71*a - 440 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2227 (b) -1\/2 (c) 2\/15 (d) 2 (e) 0.31 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*o - 13 - 11, 5*f + 5*o - 120 = 0. Calculate the highest common divisor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4 - v**2 - 4*v + 0*v**2 - 8*v**2 - 15*v**3 + 8*v**2 + 5*v**2. Let m(d) = 15*d**3 - 3*d**2 + 3*d - 3. What is -3*b(z) - 4*m(z)?\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 20976.3.\nAnswer: -10488.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*q - 13 - 15, 0 = 3*y + 5*q - 37. Differentiate -14 - 41*m**4 - 42*m**4 + 82*m**y wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/5 - 1431097*n - 14310974\/5 = 0.\nAnswer: -2, 7155487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 10*z**2 + 14. Let n be y(-10). Suppose -18*r + 48 = -n*r. Suppose 2*l = 42 + r. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 410 + 410)*(6*q + 2180 - 2180)*(3*q**2 - 4*q**2 - 2*q**2) to the form y*q**2 + h*q**3 + b + p*q**4 + n*q and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 + 14827*o + 985792 - 985792 - 14827*o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 16.493\nAnswer: -6.5972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d + 5. Let f = 782058 - 782063. Let o(k) = -28*k - 14. Suppose x + 4 = 2*x, 5*y + 66 = -x. What is f*o(c) + y*j(c)?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -127. Is (14 + a)*3862\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12993359.\nAnswer: 19, 683861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 24*i - 25228 = 0. Let n = i + 51642. What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-64)\/(-80))\/((-2)\/(-25)). Let t = y - 5. Suppose -g = -t*g + 4*h + 156, -2*h - 162 = -4*g. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 354*x**2 + 9528*x - 32640.\nAnswer: 3*(x - 80)*(x - 34)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*c - d - 205, -74 = -c - 3*d. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s**2 + 13. Let j(k) = -5*k**2 - 6. Let g(a) = 13*j(a) + 6*l(a). Let b(d) = -88*d**2. What is g(b(r))?\nAnswer: 7744*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101999 + 1?\nAnswer: 10199a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141239?\nAnswer: 7, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -527 + 748. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385233 is divided by 2293.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*p + 11 = 0, 5*p = 4*f + 2*p - 13. What is the third derivative of 3*c**4 + c**4 + c**f + 2*c**2 - 2*c**4 wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -231?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -684216*k*u**4 - 321*k*u**2 + 20123908*k wrt u.\nAnswer: -2736864*k*u**3 - 642*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/2 + 1407 + -11. Let j = a - 1392. Let q = 3 - 0. Put q, j, -4, 5 in descending order.\nAnswer: 5, q, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.37 (b) -587 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3343, -22589, -73659, -172465, -334919, -576933, -914419?\n\"Answer: -2652*x**3 - 682*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 46*h**2 + 9 - 29 + 5.\nAnswer: 46*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 6. Suppose -y + 4*u - 14 = 4*y, -y + 2*u = -2. Let x be c(y). Let a(t) = t**3 + 5*t**2 + 4*t - 1. Let j be a(-3). Sort x, 2, j.\nAnswer: x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -3990, -13476, -31842, -62022, -106950, -169560?\nAnswer: -252786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:00 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 = 2*l - 4*l, 0 = -6*z - 5*l - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040)*2 - sqrt(5040)) + sqrt(5040))\/((sqrt(847) - 1*sqrt(847)) + sqrt(847) + sqrt(7)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -2, -5, -81 in decreasing order.\nAnswer: 144, -2, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -395539.19 to the nearest 100.\nAnswer: -395500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-42))\/(y*y**(1\/6)\/y))\/(y**(-3\/2)\/(y*y\/y**29*y*y)))**(-4\/3) assuming y is positive.\nAnswer: y**(776\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56142.\nAnswer: 2, 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(7\/(-8606)) - 9\/21. List the prime factors of c\/7 + 6\/14 + 4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.013228 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 80.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) + (1 - -1). Let x = 35 + -32. Solve y + 0*y + x = j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16173 (base 12) to base 4\nAnswer: -13221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 19*c**2 + 6*c. Let j(f) = f**2 - f - 1. Let i(o) = -3*j(o) - s(o). Let m(t) be the first derivative of i(t). What is the tens digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*((-19)\/4 + 3). Suppose -3*i + 6 = 4*a - k, -2*i - 34 = -5*a. Factor 6 + 3*n**2 - 9*n - a + 2.\nAnswer: 3*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1946\/81535?\nAnswer: -1946\/81535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1338 + -1621?\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 261 = -4*m - 3*i, -5*i = 4*m - 348. Suppose -4*q + q + 5 = 4*u, 2*q = 6. Let d = 23 + u. What is the remainder when m is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7962187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.854828066 from -4.\nAnswer: -4.854828066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**4 - 81 - z + 82 - 2*z**3 + 4*z**3 to the form p*z**3 + y*z**4 + g + c*z**2 + b*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 + -1549\/7. What is the third biggest value in a, 2\/5, 2\/161?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (sqrt(720) - (sqrt(720) - (sqrt(720) - (sqrt(720) + -1 + 0))))) + 1*sqrt(605)*-1 + -5 + 0)**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4 + 2. Let v = 0 + l. Let t be 1*v + 3\/(-3). Is -2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 180869402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -375296b - 3?\nAnswer: -3752971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(176) + sqrt(11))**2.\nAnswer: 20*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 340*s + 0*s**2 + 168*s + 172*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 at least -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/6*2. Let k be w\/(-9) - 1552\/(-72). Suppose 2*m + 5*j = 1 + 8, k = 3*m - j. Solve 0 = 3*l - m*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*210\/(-1190)*14\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8489266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {y: 10, a: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((12 - 2) + (55 - 53))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or 1132?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppb when four letters picked without replacement from {b: 1, p: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-12 - -16) + -5 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.029 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, n: 8}. What is prob of sequence nfnn?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1308 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 357 in 0.07203, -2\/5, -5?\nAnswer: 0.07203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2156901.6 months to centuries.\nAnswer: 1797.418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 6*w - 7. Let y be t(3). Suppose 3*x - 12 = 2*c + 16, x - y = -3*c. Is (-74)\/x*396\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*t - 48 = v, -2*v + 48 = t. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114322 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.87. Let v = r + -0.09. Let x = v - 0.08. What is x rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56 * -752788\nAnswer: -421561.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*z = 3*h + 4, -3*h + 3*z = 0. Put 13, h, 2, 5 in ascending order.\nAnswer: h, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40591168, 81182324, 121773480, 162364636, 202955792, 243546948?\n\"Answer: 40591156*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + i = 3*i + 2, 4*i = 5*d. Suppose -4*y = -4*q - 348, -2*y = -q + 5*q - 174. Suppose -67 = 2*k - y. What is the highest common factor of k and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -73. Let i = h + -24. Let w = 126 - 81. What is the highest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**16*o)\/(o**(-3\/19)*o))**(-8))**(5\/6) assuming o is positive.\nAnswer: o**(-6140\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 5*t - 181 - t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 9*h**3 + 9*h**3 - 3*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 16748.\nAnswer: 217724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-7)\/((-126)\/99). Let z(v) = 10*v**2 + 3*v - 4. Let u be z(-3). What is the highest common divisor of t and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109119526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -151. Let h be ((-1)\/v*3)\/((-8)\/(-10)). Factor -1\/8*t**2 - h + 3\/8*t.\nAnswer: -(t - 2)*(t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7608178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1768 - 1750 + 18*t - 16*t + (1 + 1 + 0)*(2 - 2*t - 2) + 1 - 1 - 2*t.\nAnswer: -4*t + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/c**(-5)*((c**(1\/4)*c*c)\/c)**(-9\/8))\/((c*c**0*c)**(-37)*(c\/(c\/c**3))\/c**(1\/3)) assuming c is positive.\nAnswer: c**(21515\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001111 (base 2) to base 5.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.33? (a) -3 (b) 0.2 (c) 3\/7 (d) 0 (e) -802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000086245 to 7 decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1544, -2, 0.2, -24, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 + 66. Let g = n + 63. What is the smallest value in g, 5\/4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 divided by -1\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(3 + -1 + sqrt(2736) + -1) + -5 + 4)*6)**2.\nAnswer: 25920*sqrt(19) + 2463696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*q. Suppose q - 4 = -y. Suppose 0 = -y*n - 27 + 7. Sort -4, -1, n in descending order.\nAnswer: -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2551 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 3402262?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*z + 16, -3*d = -3*z + 6 + 6. Let q be d + (2*-11)\/2. List the prime factors of (-2)\/q + 1532\/44.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335.3533 - 0.1767. Let j = m - -338. Let y = 0.98 - j. What is y rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113441755.\nAnswer: 5, 7, 601, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 - 3*t**3 + 5*t**2 - 12*t + 2. Let u be v(9). Suppose -5*n - u = -7*n. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from {p: 6, f: 1, j: 4}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10673759, -21347518, -32021277, -42695036, -53368795?\n\"Answer: -10673759*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050159928 rounded to 5 decimal places?\nAnswer: -0.05016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -655.354219 - -2?\nAnswer: -653.354219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/4)\/(180\/(-1872)). Let w(v) be the first derivative of 0*v - p - 35\/2*v**2 + 21\/2*v**4 + 0*v**3. What is the second derivative of w(g) wrt g?\nAnswer: 252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14076 is divided by 14061?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9)**34 assuming x is positive.\nAnswer: x**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/(v*(v*v*v*v**(-5))\/v))\/v)*v**(-23)*(v**(4\/7))**(-11) assuming v is positive.\nAnswer: v**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**2 + 36*p**2 + 3*p - 2*p**4 - 2*p + 9*p**2 - 3 + 36*p**3 - 11*p**2 as i + u*p**2 + b*p + z*p**4 + y*p**3 and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1900)\/(-475)*-14*6\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(65\/(-1050) - (-2)\/15)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, j: 3, k: 2}. What is prob of picking 1 k, 1 j, and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 85142*y + 42576*y + 42566*y + 370*y**3.\nAnswer: 370*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = k + 363 - 366, k - 3*t - 16 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2306 - 1865. Is 48 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 311. What is the third smallest value in w, -0.2, -0.3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12425 + 12428. Put -5, 1, -32, 2, s in descending order.\nAnswer: s, 2, 1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 604*l**2 + 17082*l + 35828.\nAnswer: 2*(l + 26)*(302*l + 689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370544768 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -939, -1876, -2813, -3750?\nAnswer: -4687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(7 - 273\/49).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.9. Let p = -264\/169 - -4150\/2873. Which is the closest to -2? (a) o (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -632768.423 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -74. Let p(w) = -w**3 + 2*w - 2. Let y be p(-2). Solve 3*t + 4*n + 6 = -y, -t + 5*n = -u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.000000408 - -180. What is x rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, z: 5, f: 3}. What is prob of picking 1 f and 1 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**(1\/5))\/v)\/v)\/(v**(1\/13)*v))\/((v*v*v**(2\/5))\/v*v\/(v\/(v\/(v*v*(v*v**3*v)\/v*v)))*v) assuming v is positive.\nAnswer: v**(151\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 451, -2 in decreasing order.\nAnswer: 451, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -2) + 4 + (4 + -3 - -11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 598404*i + 313326428814.\nAnswer: 2*(i + 1047207)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 271175281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**4 - 5*w**3 + 3*w**2 + w + 1. Let o(y) = 33*y**4 - 152*y**3 + 561*y**2 - 591*y - 1167. Let i(q) = o(q) - 17*r(q). Suppose i(h) = 0. Calculate h.\nAnswer: -74, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4 + 124*w**3 - 724*w**2 - 124*w + 720 = 0.\nAnswer: -36, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -115, 1.4, -2\/1213?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 4*f - 13, 0 = s + 2*f + 6. Let d = 21 - 18. What is the nearest to -2 in -2\/9, d, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(153) + sqrt(153)*-3 + sqrt(153))*2).\nAnswer: 30 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by 13.\nAnswer: -127\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3*r + 7. Let j be x(-6). Let o = j + 15. Suppose -5*y + 9 = -3*f, 2*y + o*f + 12 = 5*y. Is y >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/56)\/(((-32)\/(-7))\/16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214270 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171177281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((3 - 5) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004607354 rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 6. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3827*66\/55*20\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 - 1. Suppose -2 = 5*d - 12. Let a be w(d). Let o = 10 - a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 13 = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 396*y**3 - 780*y**2 - 388*y.\nAnswer: -4*y*(y + 1)**2*(y + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - (16 + 8 - -1) - (1 + 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827230141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17 - -8) + 3 - -16) + (2 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -4 = m*d - 4*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11428.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2 - 9 - k + 0*k. Let c = 20 - 14. Suppose -g + 2*m - 2 = 0, g - m - 5 = -c. Give r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -3276*a**5\/5 + 1105*a**3\/3 + 117. What is the third derivative of r(d) wrt d?\nAnswer: -78624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -p - 9*p. Suppose f + 2*f - p = 0. Let y be ((-16)\/(-24))\/(2\/f)*3. Solve -2*z - 5 + 3 = -2*t, z = y*t - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 4) + -4 + (17 - 6) + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 24*k + 7. Let c be m(-9). Let w be 4 + c\/35 + 2\/(-10). Let z = w + 124. List the prime factors of z.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 59, 5, 16, 0 in increasing order.\nAnswer: -3, 0, 4, 5, 16, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*n**2*o + 2*c*n**2 - 2*c - 4*n**2*o + 8*o wrt c.\nAnswer: 2*n**2*o + 2*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {y: 4, s: 1, m: 4, a: 3, u: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3085*v**5 - 7043*v**3 - 66351*v + 96 wrt v.\nAnswer: 61700*v**3 - 42258*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394653 is divided by 237?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-936))\/((12\/1)\/12)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 0*k. Let w be 1\/(k\/16) - 2. Let i(y) = -y**3 + 14*y**2 + 4*y - 6. List the prime factors of i(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)\/g)\/g)\/g)**(-39) assuming g is positive.\nAnswer: g**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g + 44. Let r(o) = 9*o - 15. Let s(d) = 6*i(d) + 17*r(d). Let m(w) = 6*w + 19. Determine 2*m(h) - 5*s(h).\nAnswer: -3*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-3672) - 3\/(-27).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**6\/24 + b**3\/2 + 7*b**2\/2 + 2. Let s(g) be the second derivative of d(g). Differentiate s(u) with respect to u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aajm when four letters picked without replacement from {a: 8, m: 4, j: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*w + 308*w = -147 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = 992*w - 1085*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158.64872 - 26132672.\nAnswer: -26132830.64872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 78 = 12. Let f be (3*3)\/(-12 + c). Let t(p) = 7*p**2 + 2*p + 5. Suppose -2*h + 3 + 7 = 0. Let k(y) = -4*y**2 - y - 3. Give f*t(w) + h*k(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559070 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068315 to 3 decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17011713 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242666*b**3 - b**2 - 70542*b - 1?\nAnswer: 1455996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:40 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(891)*-2 + 0 - (sqrt(891) + 1 + -3 + sqrt(891) - sqrt(891)))**2.\nAnswer: -108*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q + 5*h + 7 = -101*q, -8 = 4*q + 4*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630119548?\nAnswer: 2, 157529887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176055 - -0.4\nAnswer: 176055.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*u - 20 = -2*j, -2*j + 2*u = -8. Suppose 5*z + 179 - 959 = j. Let q = 615\/4 - z. Calculate the common denominator of q and -125\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1003 + -602. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 3*i**3 - 3*i**3 + (-5*i**2 + 5*i**2 + 7*i**3)*(-3*i**2 + 0*i**2 - 3*i**2).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06 - 0.06. Let h = 3 + -2. What is the nearest to h in 5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + o + 54 = 0, -3*o = 2 + 4. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.64 * 5.\nAnswer: 123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + -3*(-6139)\/9. Suppose 5*j - p = -3*y, 3*y = -6*j + 2*j + 1635. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 38. What is the remainder when u is divided by 69\/15 - (-6)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2188 = -5*j, j - 11*f - 460 = -6*f. Is (-10)\/(-4)*346192\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w - 291. What is the smallest common multiple of n(-21) and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(108) - (sqrt(108) - sqrt(108)*-2) - sqrt(108))*4.\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*u + 23, 187*q - 184*q = -21*u + 114 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(-1 + 2 - 2) + i + 3*i - 5*i + (-7 + 6*i + 7)*(-62 - 21 + 17).\nAnswer: -398*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/5 + 107752*j**2\/5 - 107758*j\/5 - 215508\/5 = 0. What is j?\nAnswer: -53877, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 63*q**2 - 3*q - 159. What is u(-63)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -11*y**5\/60 - y**4\/12 + 2*y**3\/3 - y**2. Let n be b(-5). Is 2\/(-8) - n\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*j - 12, l + 0*j - j = 0. Find the common denominator of (-2635)\/102 + (l - 1) and 49\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4099 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415773142 is divided by 296?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.055187 milligrams in tonnes?\nAnswer: 0.000000006055187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59326 = 1296*j + 515*j + 23106 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 8*l)*(l + 7*l**4 - 5*l**4 + 3 + 0*l) + 32*l**4 + 9*l**5 - 32*l**4.\nAnswer: -7*l**5 - 8*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y, i - 2*y + 4 = -0. Let j = i - -2. Solve -t + 4 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 11 - (0 - (-3 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -4*q + 0*q**2 + 0 - 1\/3*q**3. Let l(p) = -16*p. Calculate l(h(v)).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -1.6. Let s = u + -4. Let d = -0.4 + 4.4. Which is the nearest to s? (a) -2\/15 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1.55, -2\/3, -0.4, -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322098, 322092, 322086, 322080, 322074, 322068?\nAnswer: 322062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 19*o + 79. Calculate h(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 3496?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 7, u: 2, j: 8, a: 1}. What is prob of sequence qq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from jjjyjjjjjjjjjjjjjyj?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 2}. What is prob of picking 1 s and 3 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 4*j + 4*z + 42, -z = -3*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 = -4*b + 30, -3*b = -l + 16. Let c = 15 - l. Solve -4*s = c*f + 22, 2*s + 2*f + 21 = -f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 - 219. What are the prime factors of (-256)\/(-3) - 13\/l?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 g when three letters picked without replacement from {s: 2, z: 2, g: 6, w: 1, b: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120364, -121142, -121920, -122698?\nAnswer: -123476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let g(z) = z + 2. Let b be g(-6). What is the remainder when 8 is divided by j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5\/4*s**3 - 23\/4*s**2 - 5\/2*s = 0. Calculate s.\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000214737 to 6 dps.\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 146. Let r(a) = 5*a**3 - 4*a**2 - 4. Let x(s) = -6*s**3 + 5*s**2 + 5. What is z*r(w) - 4*x(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-55)\/66)\/((-2)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 38*s**7\/105 - 16*s**3\/3 - 65*s**2. Differentiate q(l) with respect to l.\nAnswer: 304*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2283 + 4718. Let y = -2424.965 + v. Let s = y + -10. What is s rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 6. Let c be z(6). Let j be (56\/(-12))\/((-4)\/c). Find the first derivative of 2 - 5 - j*r + r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2305761699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*s - 27, 0 = 5*d - s + 5*s - 29. Suppose -4*n + 2*n = -4*t + 590, -d*t = -5*n - 730. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/30*6 + 102\/(-85) + -31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g = 13*g - 2088 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -860? (a) -1\/6 (b) -5 (c) -3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Let h = -5 + 7. Let r(b) = m*b**h + b - b. Let j(o) = 2*o**2. What is j(r(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - (-7 - -11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 1. Let h be w(-1). Let s be 1 - 384*4\/1804. Let n = 21\/41 - s. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*114\/48 + 30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.551094 centuries?\nAnswer: 0.0551094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 - 95*d + 89. Let p be z(-20). Let j(n) = n**3 + 10*n**2 - 10*n + 12. What is j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*k = 988, -5*h - 4940 = -10*h - 5*k. What is the highest common divisor of 364 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -1097.\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 1330*x**2\/3 - 221776*x\/3 - 220448\/3.\nAnswer: -2*(x + 1)*(x + 332)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56792144.\nAnswer: 2, 3549509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/48)\/((-4)\/(-32)). What is the greatest common divisor of m and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*6*(5 + sqrt(396)*2)*3)**2.\nAnswer: 615168*sqrt(11) + 8338192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3847 is divided by 172.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1100011110001 (base 2) to base 13\nAnswer: -2ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:49 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192588, -385166, -577744?\nAnswer: -770322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119647 is divided by 119639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283, -578, -875, -1174, -1475?\n\"Answer: -t**2 - 292*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036419 minus 0.267134?\nAnswer: -2036419.267134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/5520035 and 58\/615?\nAnswer: 16560105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84 (b) -0.8 (c) 0.177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+-1380311\nAnswer: -1380310.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*k + g - 18 = -260*k, -51 = -5*k - 4*g for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137\/8 or -1328?\nAnswer: 137\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-11)\/33*(-7 - 4\/(-1)). Solve 5*g = -d - 1, s*g + 3*d - 7*d - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k + 1. Let u(h) = -h**3 + 4*h + 3. Determine -i(w) + u(w).\nAnswer: -w**3 - w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2376 rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w**(-17)\/w)*w)))\/(w\/((w\/(w*w*w\/w**(-1\/3)*w))\/w)))**(-49))**(-28) assuming w is positive.\nAnswer: w**(60368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 56*z + 37. Let n be b(-28). Suppose -35*y + n*y - 1590 = 0. What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58788 and 90738.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 plus 0.23?\nAnswer: 1310.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 334.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469553469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -3. Let h(i) be the first derivative of -i**2\/2 + 5*i + 12. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2417*g**3\/3 + 1851*g**2 + 828. What is the second derivative of m(t) wrt t?\nAnswer: 4834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931120 divided by -5.\nAnswer: -186224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3626*c**3 + c**2 - 2958*c + 1?\nAnswer: 21756*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:40 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 400 = -6*s. Let x = -58 + s. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/20, 0, 5\/8, -194?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40809*l**3 + 25*l**2 - 10*l - 22 wrt l?\nAnswer: -244854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 > -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/1169 - 328\/3507. Sort 104, v, -2 in ascending order.\nAnswer: -2, v, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 4. Suppose -2*p - p + 12 = 0. Suppose p*w + 1 = 3*w. Let i be y(w). Which is bigger: i or 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 4, 3050?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 66*z**2 - 1 + 116*z**2 + 249*z**2 + 182*z**2.\nAnswer: 613*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35388 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**4 + 259*w**2 + 16*w**3 - 259*w**2)*(4 + 3 - 3) to j*w**3 + s + c*w**4 + d*w**2 + a*w and give j.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1085, 1218, 1351?\n\"Answer: 133*b + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = 5*u - 6*f, -3*u + 5*f = 1. Is 38 a factor of 158 - (-4 + 6\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 + 2*l - 6. Let t be c(-4). Suppose -t*w + r + 40 = 0, 0 = -w + 2*r - 5*r + 13. What is the remainder when 52 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105146056 + -4?\nAnswer: 105146052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 1, p: 2, m: 2, n: 3, u: 1}. What is prob of picking 1 o, 1 n, 1 u, and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23814 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 87. Suppose 0 = 5*z + 15, 2*m - 15 = 2*z - y. Is m > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000982801019 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = 2*h + 611. Let m be h\/(-18) - (-54)\/(-243). Which is bigger: 27 or m?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(84)*4)\/((-4*sqrt(72))\/sqrt(6)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 143.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0 - 2, -2*n = -5*o + 10. Is -2\/51 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjjjjjjejjj.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-81)\/3*1)\/(-8) and -51\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 2*w - 5*w + (-3*w + 2*w + 0*w)*(-24 - 24 + 64) to the form b + y*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706291, -706460, -706741, -707134, -707639?\nAnswer: -708256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/12)\/(4\/126). Suppose 3*b = -0*b + a. Solve 3*t - 23 = 5*z, 5*z + b = 3*z - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-3 - -8) + (-574 - -501).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1464 divided by -122.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21132 (base 4) in base 5?\nAnswer: -4411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 54. Suppose a - 2 = 2. Suppose 95 = -a*p + 415. What is the highest common divisor of p and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*r + 118*r + 23577 = -357*r + 520*r for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 - 35 - 42)*(i - i - i).\nAnswer: 175*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {c: 2, m: 4, k: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.2, 1\/8, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, 1\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -10\/3*p**4 - 21*p**2 + 0*p + 0 + 1\/2*p**3. What is the derivative of o(a) wrt a?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(26)\/((sqrt(14)*1)\/sqrt(7)))**2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6704413, 13408839, 20113265, 26817691?\nAnswer: 33522117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.42 in -203, 0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.176 - 0.324. What is the third smallest value in -19, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, t: 5, k: 1, h: 6}. What is prob of sequence tt?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9889*y - 2483*y**2 + 1102*y**2 + 1397*y**2 + 9889*y.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -265165 (base 9) to base 12\nAnswer: -79395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -807 + 809. What is the closest to 0.1 in 0.28, f, -0.2, -0.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22419 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 6, -3\/2, -0.02, -450, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)*s)**(-9\/5)*((s**(-1\/2)*s*s)\/s)\/(((s*s*s**(-3)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-91\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 87, 132, 179, 228, 279, 332?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1131124414 (base 5) to base 11\nAnswer: 1515516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 2\/7, 1\/43, 1\/3 in decreasing order.\nAnswer: 1\/3, 2\/7, 1\/43, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-four fifths of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25265, -50586, -75907?\n\"Answer: -25321*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 8*f**2 - 3*f + 10. Is g(9) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*z + q - 641, 5*z + 2*q = 1575. Suppose 5*v - 2944 = d, 4*d - z = -v + 280. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6348711 - -11.71038?\nAnswer: -11.9244911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 3*k**3 + 2*k**3)*(4*k**2 - k**2 - k**2) + k**5 - k**5 - 4*k**5 + 5*k**5 + 33*k**3 - 3*k**5 - 138*k**3.\nAnswer: 6*k**5 - 105*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9595 = -27*l + 22*l. Suppose 2 = k, l = 5*h + k + k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - b - 2. Let p(w) = -5*w**4 + 8*w**2 - 25*w + 13. Let o(i) = 5*m(i) + p(i). Find the second derivative of o(q) wrt q.\nAnswer: -60*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 384 = 118*r. Solve -t = 4*o + o - 8, -r*o - 5*t = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from mxyxaaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409 - 409 - 39*y**3.\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 6*f - 9*f - 11, -3*o - 5*f = 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 69013 = 5*d, -5*d = 4*k - 40045 - 28978. List the prime factors of d.\nAnswer: 3, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 289*f - 1. Let c be g(4). Suppose -q = 4*l - c + 18, -l + q = -278. What are the prime factors of l?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31855?\nAnswer: 5, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = l - 9, 0 = 5*p - 4*l - 5. Let m be (2\/4)\/((104\/80)\/13). Suppose b - 205 = -m*k, p*k - 4*b - 87 = 93. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -282137 >= -282140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -652207, -5, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, -5, -1, 51, -2 in decreasing order.\nAnswer: 51, 20, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9 + 13\/3. Let y(w) = w. Is y(q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-28) + (-2706265)\/(-35) + 12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14530 + -1?\nAnswer: 1452f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 136\/3 + (-1 - 6\/(-9)). What is the highest common factor of 225 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = y. Suppose -y*c = -10*c. Suppose 6*q + 0 - 12 = c. What is the smallest common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 99*g**2 + 4*g - 5. Let n(h) = -199*h**2 - 8*h + 9. Let a(v) = -5*c(v) - 3*n(v). Let m be a(2). Suppose s = m + 329. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 10206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, w: 2, i: 4}. What is prob of picking 2 r and 1 w?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 12:58 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353070 divided by 6?\nAnswer: 58845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1aa + 10?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 5*t + c + 5, -4*t + 20 = 5*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:32 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/8 + 13*q**3\/6 - 2*q**2. Let k be l(0). Suppose k - 25 = -4*d. Solve -2*g + 8 = 4*y, 4*y - 16 = d*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 251.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-915))\/(-4))\/(((-399)\/1330)\/((-3)\/(-2))).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let z(w) = -210*w + 4. Let b(j) = -6*m(j) - z(j). Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 13, 5 in descending order.\nAnswer: 13, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*k - 21 = 0, 0 = -2*u + 11*k - 6*k + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-14) - -1)*833\/238. Let f(t) be the second derivative of 0 + t - t**3 + 1\/2*t**s + 3\/4*t**4. Solve f(n) = 0 for n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.6, 8649, 1\/6, -1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121967?\nAnswer: 3, 7, 11, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5175 and 4600?\nAnswer: 41400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -57. Suppose -8 = -3*t - 5. Solve -t = 2*u - l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50655\/75 + 4\/(-10). Calculate the highest common divisor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 6*h**3 - 2*h**3 + 168 - h**3.\nAnswer: 3*h**3 + 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -38.0346. What is f rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 + 2*i - 4. Let o(u) = 6*u**2 + 2*u - 5. Let g(j) = -8*j**2 + 280*j - 4. Let m be g(35). Give m*o(t) + 5*w(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n**2 - 813748*n + 813748*n.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.51734 rounded to 3 dps?\nAnswer: -0.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -66*t - 459. Let u be x(-7). Solve -2*k = -p + 5, 8*p - u*p - 1 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1646 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10)*-5 - -18*1. Suppose b = 3*u - 17. Suppose -2*p = -4*v + 52, 5*v = 4*p + 48 + u. Calculate the remainder when v is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 69\/18 - 35\/(-1470). Find k such that -2\/7*k**3 - 6\/7*k - i*k**2 - 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 31 = 481. Let d = 195 - l. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1859292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -168*t + 453 + 46779. Calculate the highest common factor of t and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 1 + 17*q**2 - 16*q**2 - 4*q. Let m be x(0). Suppose 0 = -2*h + m + 7. Solve -2*s = -4*f + 6, f + 0*f - 6 = -h*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -29 + 2*(-29)\/20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 11. Suppose 0 = y*d - 6 + 2. Find the third derivative of 2*g**3 + 5*g**5 - 2*g**3 + g**d - g**5 wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 244 and 6594411676.\nAnswer: 6594411920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3626*r**4 + 7258*r**4 - 240*r**2 + 244*r**3 - 3636*r**4.\nAnswer: -4*r**2*(r - 60)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*a - 7*a + 24, -3*p + 33 = 3*a. Let m = -7 + 17. Solve 8*x - m = p*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/2*14\/8. Let z = j - -18. Is -2*(-3)\/18*z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 2*n**2 + 22*n - 8. Let w be b(-4). Factor -2\/5*c**3 - 2\/5*c**4 + 0 + w*c + 0*c**2.\nAnswer: -2*c**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726603?\nAnswer: 3, 242201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -34*f**2. Let a(s) = 3 - 3 - 3*s. Calculate a(t(l)).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = 3*v, -2*v + 4*v = -4*k - 6. Solve 28*m + 68 + 44 = k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666) + sqrt(1666) + sqrt(1666)*-2)\/sqrt(288))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - o**2 + 1007953*o - 1007953*o + 13.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let c be 92\/414*3\/2. Let j(f) be the second derivative of 0 + 0*f**2 + 0*f**3 + 5*f + c*f**4. Give r(j(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-210)\/(-84) + (0 - 10\/(-4)). Calculate the common denominator of ((-42295)\/1496)\/p - (-6)\/1 and -115\/96.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37557.33 months?\nAnswer: 312.97775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 10 = -45. Which is greater: 29\/6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7436 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1522, 1316, 970, 484?\n\"Answer: -70*c**2 + 4*c + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -23*y + 4264. What is n(67)?\nAnswer: 2723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - 0.127.\nAnswer: -22.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 2. Suppose 0 = u - 9*u - 56. Is u less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 + p - 46. Let t(v) = -22*v**2 - 3*v + 89. Let r(n) = 5*a(n) + 2*t(n). Let l be r(12). What is l rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3978 and 16.\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100111001011 + -111100110010?\nAnswer: 1001101010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 2217.\nAnswer: 19953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 296 (b) 1.2 (c) 26.54 (d) 0 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -533.0508 - -533. Let f = a - -0.05079384. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b + 3. Let d be o(2). Let t be 2\/(-1 + -1)*17. Let l = t + 22. Solve -m + 4 - d = 0, -l*m + 19 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 35*j + 109. Calculate m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2501 and 4633.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*s - 15*s - 2 + 56*s as n*s + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156407561 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8820, 8836, 8854, 8874?\nAnswer: 8896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:13 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*s - 394 - 348 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13924883.\nAnswer: 7, 839, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12844, -25641, -38386, -51079?\nAnswer: -63720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787637 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 34*o - 16. Calculate c(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 divided by -2?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -h + l + 3*l, 2*l + 190 = -h. Suppose 2*a = -4*b - 68, -5*a = -b - 3*a - 12. What is the common denominator of 10\/b*h\/315*8 and -26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.33 - 9.9. Let x = -0.07 - p. Suppose 4*n + 2*o - 14 = 0, 4*n - 5*o + 6 - 27 = 0. What is the second smallest value in n, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*b**2*s**3*y**2 - 2*b**2*s*y + b**2*y**2 + 9*b*s*y + 2*s**3*y wrt y?\nAnswer: 478*b**2*s**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 11\/30?\nAnswer: 11\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19420 divided by -163?\nAnswer: 19420\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 59. Suppose 4 = -5*u - j + 2, 2 = l*u - j. Let f(n) = -3*n - 13. Let m be f(-5). Solve 2*o = -0*z + 2*z - 2, u = -m*z + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 8 = 2*f. Calculate the remainder when (-2 - (-20)\/(-8))*(-168)\/18 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*l + 1, -2454*l = 3*d - 2459*l - 7 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/105*54\/(-10))\/(-2)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 + (-5)\/((-15)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/20 - 3*p**4\/8 - 2*p**3 - 13*p**2. Suppose w(x) = 0. What is x?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535 - 10*m**2 + 152227*m + 1069 - 152222*m - 534.\nAnswer: -10*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * -51.\nAnswer: -112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/3 + 15*t**2 - 59. Let w(q) be the second derivative of b(q). Let h(v) = v**2. Determine w(h(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3276 and 72.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26266 or 26272?\nAnswer: 26272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, z: 2, n: 8}. Give prob of picking 3 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -17.3542089?\nAnswer: 22.3542089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -458*s. Let m(a) = 461*a. Determine -6*j(w) - 5*m(w).\nAnswer: 443*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -10\/9, 0.02, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-24)\/(-36)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21852, -21853, -21856, -21861, -21868?\nAnswer: -21877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4871965?\nAnswer: 5, 7, 139199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + 28*u + 24. Let o be w(10). Suppose -4*b + 80 = o*p, -3*b + 4*p + 65 = 2*p. Do 20 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51\/10 - -79\/15. What is the second smallest value in -2\/23, 1\/9, 1\/7, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*x**2 + 2*h**2*x + 7598*h**2 - h*x - 2*h - 3062*x**2 wrt h.\nAnswer: 4*x**2 + 4*x + 15196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + -16 - (56 - -8 - 13).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 + 19*f - 19. Let l be x(-10). Let q be 6\/(-57) - 22\/l. Is 6 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-198)\/55)\/((-15)\/4300). Let y be -1 + b\/114 - 8. Let n(z) = -z**3 - z**2 + z - 1. Let q be n(0). Is y > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 45, 79, 131, 201?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 40. Suppose -3*q + 8*q = m. Solve 3 = q*y - 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -104.51. Let q = z - 0.09. Which is the nearest to 2? (a) -0.05 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -80. Let b = -62 - d. Let m = 92 + b. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/24 + f**5\/60 - f**4\/12 + f**3\/6 - 7*f**2. Let l(q) = q**3 - 5*q**2 - 6*q + 1. Let y be l(6). Give v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.2, 3\/4, -4, 0.04 in decreasing order.\nAnswer: 3\/4, 1\/8, 0.04, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - (15 - -39) - 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*q**3 - 280*c*q + 1243*q**3 wrt c?\nAnswer: 2*q**3 - 280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1330\/3999 - 1\/1333. Put p, -2, 0.4, 7 in descending order.\nAnswer: 7, 0.4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012705209.471 + 8?\nAnswer: 3012705217.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 2652, 5611, 9752, 15075, 21580?\nAnswer: 29267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514184*h**3*y**3 - 89*h*y + 2*h - y**3 + 2*y**2 - 52*y wrt h?\nAnswer: 3085104*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijijiiijii. Give prob of picking 4 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -24) + 4 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(((-9)\/123)\/(168\/(-16))). Suppose -11*q - 455 = -s. What is the highest common factor of 231 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -2, 0.2, -0.3, -0.119?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 204 and 1.6.\nAnswer: 326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/3)*s**(-3)*(s\/s**(-2\/13))**(-1))**(-16) assuming s is positive.\nAnswer: s**(1552\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -3*k, -4*k = -b - 1 + 13. Let u be (-84)\/(-21) - (b - 4). Is (2 - (-3393)\/(-2))\/((-4)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.5. Let m = 19\/40 - 3\/40. Which is the nearest to m? (a) -1\/4 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.179 + -0.0613.\nAnswer: 2.1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1021, -1409, -2007, -2815, -3833?\n\"Answer: -105*d**2 - 73*d - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-8))\/n*n*n**(-2\/15)\/n)\/(n*n**(2\/21)*n**(-5)) assuming n is positive.\nAnswer: n**(-148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12843\/8 - 6457\/4. Let w be (122\/120)\/((-1)\/(-3)). Let f = w + -14\/5. Calculate the common denominator of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 - 131102802*w**3 - 9*w**2 + 393308400*w + 262205604 = 0?\nAnswer: -1, 2, 43700934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5239, -10297, -15353, -20407?\nAnswer: -25459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4440*i**4 - 9*i**3 + 278144*i wrt i.\nAnswer: -53280*i**2 - 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 22 - 4 + 86*n + 13 to the form m*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*r + 66, r - 625 + 287 = -3*v - 0*r - 304 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 3, -2, -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*x + 2*k, 3*k - 10 = -4*x + 2*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332722 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.02 (c) 0 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Suppose 0 = 3*g - m - 52, 2*g + 53 = s*g - 2*m. Calculate the highest common factor of 221 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c - 3. Let l(s) = -s - 6. Let h(m) = m - 12. Let o be h(5). Let y be l(o). Suppose f - 4 = -y. Give k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -64. Let c be k\/15 - 2\/(-3). Suppose -c*m + 6682 = -12118. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496185\/26 + -19084. Let y(l) be the first derivative of 4\/39*l**3 - 16\/13*l - 4\/13*l**2 + w*l**4 + 25. Factor y(f).\nAnswer: 2*(f - 2)*(f + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 10 + -2)*-1. Let l(g) = -2*g - 9. Let y be l(m). Let u(f) = f**3 - 6*f**2 + 7*f - 6. What is the remainder when u(y) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16634 + -16209. Solve -26 = 57*u - i for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by 1\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30509386 and -3?\nAnswer: -91528158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-931)\/(-57))\/(24\/(-16)*6\/27).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+702807\nAnswer: 702806.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -23332\/45?\nAnswer: -23332\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(304) - (sqrt(304) + (sqrt(304) - (5 + 1*sqrt(304))))))**2 - ((4 + sqrt(304) + 1)**2 - (sqrt(304) + 3 + -1)).\nAnswer: -326 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3875616, 3875615, 3875614, 3875613?\n\"Answer: -u + 3875617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1333 - -1332.8. Put r, -2\/5, -6 in decreasing order.\nAnswer: r, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 5. Suppose -13 = -2*u + 9. Let f be c(u). Let q(k) = 5*k**3 - k**2 - 6*k - 6. Let j(w) = w**3 - w - 1. What is f*j(o) - q(o)?\nAnswer: o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 38*u - 87. Calculate i(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 12\/27)*(-3)\/(-2). Let y = 1013 + -1013.1. Let v = 2.7 - 3. Which is the third smallest value? (a) x (b) -24 (c) y (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzzfocoozouuf. Give prob of picking 1 u and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1225) - sqrt(1225) - sqrt(1225)) + sqrt(1225))*-4)\/((sqrt(504)\/(1*sqrt(8)))\/sqrt(9)).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -3. Let r = -97 + 149. Let v = -8 + r. Calculate the lowest common multiple of c and v.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69482.2 rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72.04, 4, 6\/13, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101430 by -690.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltittzttnintrrirttl. What is prob of sequence in?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27000 (base 9) to base 7\nAnswer: -104064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75\/11 - -7. What is the closest to 3 in o, -1\/5, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89650 and -1721 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 0*i**2 - i**2 - i**2. Let m(u) = u. Let f(j) = j. Let n(w) = -5*f(w) + 4*m(w). What is n(h(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i - i**2 - 8*i**3 - 1 - 14*i**3 + i**2.\nAnswer: -22*i**3 - 33*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -4*h, 2*h + 24 = 4*a - a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4047 and 0.7?\nAnswer: 2832.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 16*l**4 - 16*l**3 - 52*l**2 + 18*l + 36 = 0. Calculate l.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**3 - w - 1. Let n(o) = 61*o. Let s be n(-3). Let v = -184 - s. Determine m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-10\/11))\/l)\/l)\/((l**(14\/9)\/l*l)\/l)*l**(2\/19)*l\/l**(-16) assuming l is positive.\nAnswer: l**(30959\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 78, -236, -654, -1164?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.069+-106\nAnswer: -105.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 294, 685, 1224, 1905, 2722?\nAnswer: 3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (1 - -3))\/1. Suppose w = -i + 203 + 227. Suppose 7*q = 2*q + i. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -4. Let g(k) = -16*k - 10. Let z(d) = 3*d + 2. Let j(l) = 2*g(l) + 11*z(l). Calculate the remainder when j(v) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b**36*b*b)))**(2\/39) assuming b is positive.\nAnswer: b**(76\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 - 91 + 13*x**2 + 371.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5827 - -46625\/8. Let w be ((-2)\/(-4))\/((-9)\/(-2)). Let y be 1\/1 + 36\/(-9). What is the biggest value in w, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*y + 902*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 + 154 - 2)*(5*y + 7 - 7) in the form x*y + w and give x.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 6150 = 4*m. Let z = 24673\/8 - m. What is the common denominator of 89\/12 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5057*n + 70733. Give d(-14).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26 - (-4 - (1 + -3)). Suppose -4 - y = -b. Suppose 3*f + 5 - 29 = 0. Calculate the highest common divisor of f and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -6, 13*n + 3 = a + 14*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.01658um in centimeters?\nAnswer: 0.009001658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 40. Let o = -4 - d. Let r(k) = -k**3 + 9*k**2 - 9*k - 7. Calculate the remainder when r(7) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 14*b - 4 = 0. Let n = 39 - b. Calculate the greatest common factor of 245 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/30 + (-2)\/(-10). Is r < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9)*(-38)\/((-8208)\/81)*90\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3034 and 820.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112 - 16342?\nAnswer: -16230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158479788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1381\/8 - 173. What is the second biggest value in -1\/3, 5, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165174, 660190, 1485050, 2639754, 4124302, 5938694?\n\"Answer: 164922*l**2 + 250*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 719*k - 944 + 3820 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 2 x when four letters picked without replacement from ooohoxtxpxptoxox.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60306173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316939971.\nAnswer: 3, 43, 163, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34554 (base 7) to base 9.\nAnswer: -13133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30d56 - -1?\nAnswer: 30d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500 - 504. What is the smallest value in -29, v, -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (-4215)\/390)*((-11)\/22 - 68\/(-40)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 68097\nAnswer: 25\/68097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*z + 37*z - 5673. Let v be 5\/3*(-24 + 9). Let t = v - -45. Calculate the remainder when z is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 5*t - 2. Let g be v(-6). Suppose r + g*r + 110 = 0. Let i = -13 - r. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = 3*d + 36*j + 9, 3*d + 12 = 3*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11752132 or -11752131?\nAnswer: -11752132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/314 and 92\/19815?\nAnswer: 6221910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 33?\nAnswer: -86\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 2. Let w(v) = -v - 1. Let o(n) = q(n) - 2*w(n). Let l(r) = -4*r. Let b(f) = 7*f. Let d(h) = -4*b(h) - 6*l(h). Give d(o(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 126499 and 4545.\nAnswer: 131044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 332*p - 55898. Give t(144).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -39. What is the remainder when (u + 27)\/((-2)\/(-92)) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -432, -601, -770, -939, -1108, -1277?\n\"Answer: -169*j - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20218268489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3791 + -37879\/10. What is the common denominator of (-94)\/280 + 4\/14 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 16. Let i = h + 3. What is the least common multiple of i and (1\/2)\/((-1)\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0 + (-1 + 0 + 4)*(3 - 6 + 1))*(624*t + 5 - 666*t - 501*t - 856*t) to j + z*t and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 19*o - 2*d - 11, 4*o + d - 17 = 0. Put o, 4, -6, -1 in descending order.\nAnswer: o, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r**2 + r)*(1 - 3 + 0) - 11*r**2 - 5*r**2 + 31*r**2 - 2*r**2 + 0*r**2 + 3*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24*a**2 - 118*a + 1. What is u(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26222432 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = 0, g - 3 = t - 2. Suppose -t*o = -5*o + 12. Suppose u = l + 4*u - 8, 6 = -l + o*u. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724\/14 - 138\/(-322) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-8)\/(-4))*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68291864*a**3 + 35649384 with respect to a.\nAnswer: 204875592*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/384*1)\/(135\/270).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and 53.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-3))\/((-52)\/(153972\/441)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1027\/104 + (-180)\/63*7\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71216 divided by 55?\nAnswer: -71216\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 1440 + 470 + 0*r**3 + 13*r**2 - r**3 + 477 + 481 as n*r**3 + z + g*r + w*r**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 22855 - 3361. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i + 1180. List the prime factors of w(29).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311584 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:32 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3847700119 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -118 - 8*b**2 + 118 + (16 + 4 - 8 - 1 + 3 - 1 + (1 + 1 - 4)*(1 + 2 - 1))*(-9*b**2 + 0*b**2 + 3*b**2) as h + n*b**2 + t*b and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3894*w**2*y**3 - 158*w**2*y**2 - 19*w**2 + 70*w*y**3 + 9*w*y**2 - 10*w - 7*y**3 + 3*y wrt w?\nAnswer: -7788*y**3 - 316*y**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1068 + 137774\/129. Let r = 911\/516 - u. Let j = -3 - -5. Is j <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 13 in decreasing order.\nAnswer: 13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131121 (base 5) in base 13?\nAnswer: 95cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*m**4 + 14*m**3 + 47*m**2 - 53804 wrt m.\nAnswer: 32*m**3 + 42*m**2 + 94*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189902 is divided by 187?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675863.\nAnswer: 675863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50477, -50472, -50467, -50462?\nAnswer: -50457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 964 + 967 - 1923. What is p(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35540311 and 10072.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1185)\/(-325) - (-2)\/10) + -4. Suppose -3*l - 7 = -2*q, -4*l - 2*q + 19 = q. Which is the nearest to 0? (a) l (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 1. Let j(m) = -8*m - 5. Let i(y) = 2*j(y) - 2*l(y). Let h(t) = 7*t + 4. Let a(s) = 10*h(s) + 4*i(s). Differentiate a(g) with respect to g.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2477 + -19783\/8. Find the common denominator of (1 - 168\/86)*1 and j.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g. Let i be y(-1). Is i less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 480. Let g = 1 - q. Let b = -272 - g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*i - 34, 0 = 2*s - s - i + 3. Let x = 101\/7 - 14. What is the nearest to s in -4, x, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*l - 4*w - 10, -5*w = -5. Suppose -5*h + g = -391, 7*g + 310 = 4*h + 9*g. What is the remainder when h is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**2)\/b)\/b)\/b)**(-11\/7))**5\/(b*b**(-1\/3)*b\/(b**(-4)*b))**(-3\/20) assuming b is positive.\nAnswer: b**(2249\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30419, -30422, -30425, -30428?\nAnswer: -30431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -45, -52, -59, -66?\n\"Answer: -7*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 3) to base 4\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 45. Suppose 5*c = 35 + h. Solve 3*o - c + 0 = -2*f, -3*o = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2. Let w(n) be the third derivative of -n**5\/15 - n**2. What is w(s(m))?\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6100999 divided by 13\nAnswer: 6100999\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 25 = d. Let s = -16 - d. Suppose 4*u = -4*q + 16, 0 = -3*q - 5*u + 3 + s. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299 + -295. Let f(g) be the second derivative of -1\/14*g**7 + 0*g**5 + 0*g**2 + 0*g**3 + 13*g + 0*g**w + 0 + 1\/10*g**6. Factor f(b).\nAnswer: -3*b**4*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25798079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*z**6 + 12490*z**4 - 6009*z**2 + 4*z - 4 wrt z.\nAnswer: -2520*z**3 + 299760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.79685 times -0.5?\nAnswer: 2.898425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 5 (c) 1\/70 (d) -6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.011?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 29, 4, 462, -11 in descending order.\nAnswer: 462, 29, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 6*z - 1445. Let f(y) = 34*y + 3. What is the remainder when h(-34) is divided by f(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -d = -3*d + 8. Suppose d = l + 1. Solve -3*m - b = 2*x - l, -2 = -x - m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(143)\/(sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(3)*-5) + (sqrt(208) + 0 - (sqrt(637) + sqrt(637)*-1)))**2.\nAnswer: 44*sqrt(13)\/3 + 1609\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -935 + 627. Let c = f - -308. Let g be 4 - (1 + -1)*1. What is the closest to -0.1 in c, 2, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 < 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 5. Let z(d) = d**3 - 9*d**2 + 12*d - 28. Let c be z(8). Give o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - 5\/((-30)\/9). Let t = 25 - 18. Suppose t - w = 5*u. Are -2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 4105*z**4\/12 - 740*z**3 - 425*z - 3. What is the second derivative of u(w) wrt w?\nAnswer: 8210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*o + 8*o - 7*o + 1472 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + j = 15, -4*m + 18 = -5*j + 30. Sort -4, 4, m in descending order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6.3. Let d = a - 0.5. Let b = 0.8 + d. Is b bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2592)\/405)\/(2\/(-10)*2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 17\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -1113815.3674.\nAnswer: -1113810.3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 265*n = -260*n - 6, -n = -2. Solve -5*y + 9 = 3*s + 13, -s + j = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679 times 2.9?\nAnswer: 10669.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 301?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1590 = 8832. What is the tens digit of (-4)\/(28\/u) - 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41469246281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (sqrt(1300) + -4)**2 - ((sqrt(65) - sqrt(65)*-1)\/sqrt(5))**2.\nAnswer: -70*sqrt(13) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 6 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*w - 6399 = -436*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 742467 divided by -3?\nAnswer: -247489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + 3*o**2 + 7*o + 26. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199193*l**5 + 2*l**2*w**3 - 3094*l*w**3 + w**3 wrt l.\nAnswer: 3983860*l**3 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (84\/(-14))\/((-4)\/(-18)). Let m = -25 - y. Suppose 62 = -4*b - m*c + 294, -4*b = -2*c - 248. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (168\/105)\/(4\/10). Let a(g) = 37*g**2 + 4*g - 126. Let u(n) = 37*n**2 + 5*n - 127. Let c(o) = d*u(o) - 5*a(o). Differentiate c(p) wrt p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:44 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/12)\/((-3)\/(-20)). Let k = g - 36. Sort 5, -1\/5, -5, k in descending order.\nAnswer: 5, -1\/5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/9)\/(2\/(-6)))\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466965.\nAnswer: 5, 29, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3\/49 (b) 1026 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d. Let r be f(-1). Is (257\/2)\/(6\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4*3 - (1 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82004 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*u - 9 - 1, -2*h = 2*u - 14. Is 306 - (-3 + u)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -28. Let o = 27 - g. Calculate the remainder when o is divided by (-3)\/2*28\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let m(o) = -9*o**2 + 2*o - 8. Let l(h) = 7*h**2 - 2*h + 7. Let z(n) = 6*l(n) + 5*m(n). Give -4*x(f) + z(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -4*x - 18 - 0, -4*s = -37*x + x - 680 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617262.\nAnswer: 2, 863, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21333 (base 5) in base 11?\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a - 33. Let g be o(-8). Suppose 0 = g*w - 45*w + 198. What is the greatest common divisor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620*v**3 + 714*v**3 + 24*v**2 - 1298*v**3 to a*v + s*v**3 + l + y*v**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 1258?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1083 + 1082.92. Which is the second smallest value? (a) -8 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18011766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -727 - -727.0253. Let n = o + -0.0169. Round n to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 0, 118.\nAnswer: -3, 0, 10, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -566, -1917, -4558, -8921?\nAnswer: -15438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044903749 is divided by 1836?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -87. Let b = -89 - -88.7. Put 1, f, b, -5 in descending order.\nAnswer: 1, b, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14048, -28186, -42322, -56456, -70588, -84718?\n\"Answer: q**2 - 14141*q + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46941 bigger than 46942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15498 = -163*u + 18362 - 11829 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from rrvaararrrvvvrar.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 137*x**2 + 71*x - 9259. Calculate z(-138).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2))\/((-1)\/(-5)). Let p(k) = 2*k**2 - 3*k + 1. Let f be p(5). Suppose x - 2*b - f = -4*x, -i*x - 5*b = -15. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 + (3 - 2). Let m be 0 + 1 + 6\/v. Suppose -82 = -4*t + 3*r, 0 = 2*t + m*r - 2*r - 48. What is the highest common factor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 6*i + 1. Calculate s(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143, 217, 311, 425, 559?\n\"Answer: 10*m**2 + 44*m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2793\/470 - 45\/47. Calculate the common denominator of r and 31\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49567075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 103 in ascending order.\nAnswer: -0.5, -0.1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9401431920 + -0.1.\nAnswer: 9401431919.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -99624.79276 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*t - 42, 2*t + x = -103 + 126 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/42*39\/52?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 153a0 (base 11) to base 16\nAnswer: 5509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -363927\nAnswer: -145570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*m - 88 = -96, -7*p - 4*m = -30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8947 is divided by 358?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 528567.7 from 0.0381.\nAnswer: -528567.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095868 is divided by 845.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 161, 163, 81, -157, -623, -1389?\n\"Answer: -12*f**3 + 30*f**2 - 4*f + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -533*o**4 - 7*o**3 - 128*o. Let m(c) = 355*c**4 + 5*c**3 + 86*c. Let k(f) = -7*m(f) - 5*s(f). What is the second derivative of k(t) wrt t?\nAnswer: 2160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from bbbbtzczlbxxtbtbxtxb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214672 is divided by 8357?\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1ee0a?\nAnswer: 1ee07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 1. Let f(k) = 48*k - 64. Let i(d) = -4*f(d) - 4*h(d). Differentiate i(z) with respect to z.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(245) + 0 + sqrt(245)))**2.\nAnswer: 700*sqrt(5) + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/1536*-16*4\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88404 and 3816?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1. Let r(n) = -n**2 - 9*n - 4. Let s be r(-8). Let x(t) = 2*t + 2. What is s*l(a) - x(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 19*c - 252 = 0. Does c = 190\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27430011733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1.1, 1\/2 in ascending order.\nAnswer: 1\/2, 3\/5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101100011010101010100 - -100?\nAnswer: 11101100011010101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249.16 - 248.16. What is the smallest value in -9\/10, 0.005, m, 4?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1157, -1186, -1215, -1244, -1273, -1302?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8. Let r(f) = 52. Let h(q) = 5*r(q) - 32*u(q). Let p(y) = y - 1. Calculate -h(b) - 2*p(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -93*s**2. Let d(p) = -34798*p. Determine a(d(l)).\nAnswer: -112613774772*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 126 = -2*b, 2*c + 3*b = -c - 93. Let d be 1*2*(-816)\/c. Let j = -49 + d. Solve j*y - 7*y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.55 - -0.05. Let b = j - -1.5. Which is smaller: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**7\/420 - y**6\/10 - 31*y**5\/24 - 11*y**4\/4 + 4*y**2 + 286*y. Factor g(l).\nAnswer: -l*(l + 1)*(l + 11)*(l + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 14) to base 11\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248550 - -4?\nAnswer: -248545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2221.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 11*q + 10 = 0, -4*w - 10 = -2*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -416 + 7*o + 7*o**2 - o**3 + 418 + 3*o**3.\nAnswer: (o + 1)*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(((w**(-4\/5)\/w)\/w)\/w*w))\/(w\/((w*w**7\/w*w*w)\/w))*(w**(4\/5))**23 assuming w is positive.\nAnswer: w**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11022 (base 3) to base 14\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 18. Let m be p(0). Let a be (-2 + m\/4)*2. Suppose a*c = u - 24 - 5, -5*u = c - 119. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487 + 492.025. Let y = u + 0.075. What is y rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*j - 4*r, -157*r + 107 = 4*j - 156*r. Let n = -4 - -10. Calculate the remainder when j is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -14 - 2. Let n be (-215848)\/161892*3 - k. Let t = 1146779\/296802 - n. Calculate the common denominator of t and -149\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 17*q**3\/6 + 2*q**2 - q. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let o(t) = 2*t**2. Let f = 14 - 12. Let v(z) = -6*z**f - 4*z**2 - 3*z**2 - 9*z**2. Let p(w) = -68*o(w) - 6*v(w). Calculate p(q(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 13) in base 5?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3007644 or -3007620?\nAnswer: -3007620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.99999805 + 52. Round m to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 24*y = 3*p + 7, -y = p + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 - 40*d**4 - 234*d**3 - 324*d**2 = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5 + 8\/(-40). Suppose l = -4*k - 14, k + 2*k + 12 = w. Let v = 13 - l. Calculate the smallest common multiple of 10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 17*q**2 + 6*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11. Suppose z = 4*i - 4*r - 388, 4*i - 199 = 2*i - 3*r. Let w = -21 + i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s**3 + 0*s)*(-35 - 8 + 43*s - 46*s).\nAnswer: -6*s**4 - 86*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/55)\/(((-2)\/(-1) - 3)\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + v - 22 = -4*v, 0 = -3*z + 3*v - 24. Is ((-52)\/(-8))\/((-1)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 102011002202?\nAnswer: 102011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5995250*v**2 + 81424837*v wrt v.\nAnswer: -11990500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let d(u) = 383733723*u. Calculate j(d(o)).\nAnswer: -383733723*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Let x = l - 5. Put x, -2\/5, -5 in descending order.\nAnswer: -2\/5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 3\/2, -1, 8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*h - 10, 13 = k + 2*h. Suppose -b - 1 = -k. Solve 16 = -b*s - 0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*y**2 + 85*y**2 - 284*y + 16*y**3 - 9*y**3 - 6*y**3 as u + r*y**3 + d*y**2 + b*y and give b.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -55, -110, -169, -226, -275, -310, -325?\n\"Answer: v**3 - 11*v**2 - 19*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -26. Let g(a) = a**3 - a**2 + 53. What is the units digit of g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 0.055 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16 (b) 4 (c) -4.1658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 3, 2, 7674, 60 in decreasing order.\nAnswer: 7674, 60, 15, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.09 - 3.99. Let l = -1.90242 - x. What is l rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + 3 + 3 + -3*(5 + sqrt(2448)))*-5)**2 + -1.\nAnswer: -3334201 - 151200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, -10, -3, 6675.\nAnswer: -150, -10, -3, 6675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**7\/14 + 4*y**3\/3 + y - 1. Let f(u) be the first derivative of n(u). What is the second derivative of f(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdodldddddvdvdddwvod. What is prob of picking 1 d and 1 w?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1))**(-1\/19))**(23\/5))**23)**(-8) assuming g is positive.\nAnswer: g**(-4232\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106974 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/110*5 - 2\/4. What is the closest to l in -0.2, -1, 4\/5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6813959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 + -6)*2792\/(-30)*(2 + -8)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1842 at most as big as -1841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279\/2 + 140. Let n = -3 + -4. Which is the nearest to -0.1? (a) 0.3 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/((6\/33)\/((-1764)\/396))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -17.9. What is the closest to c in 1, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/(-27) - 4\/(-4). Let r = v - -17\/9. Which is the nearest to -1? (a) r (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - a - 58 = 7, -13 = -o - 2*a. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(-1)*(-404)\/101\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40155 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 31 = -7*j - 8. Solve 4*m = -3*u + j, -14 = -2*m + u - 5*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**8\/13440 - j**7\/5040 + j**6\/1440 + j**5\/240 - j**4\/4 + j. Let l(o) be the third derivative of m(o). Factor l(n).\nAnswer: -(n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 10280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48078*z**3 - 8*z**2 - 13*z - 313478118 wrt z.\nAnswer: 144234*z**2 - 16*z - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*a + 55, -a + 61 = 4*k + 4*a. Suppose -y = -k + 5. Solve 5*i = 2*h - 18, -h = -y*i - 8 - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.1. Let d = w - 0.4. Let n = d - -0.4. What is the second biggest value in 4, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7872 times 0.039\nAnswer: 0.0307008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(3*sqrt(150))*3 - (((sqrt(45) - (sqrt(45) - sqrt(45)*2)) + sqrt(45))*-4)\/(sqrt(252)\/sqrt(7)).\nAnswer: 31*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -3\/1852, 3\/2, 0.05, -7, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 102*q**2 + 5*q - 35. Let d(n) = 101*n**2 + 4*n - 28. Let b(c) = 5*d(c) - 4*p(c). Let i(j) = -j. Determine i(b(z)).\nAnswer: -97*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o + 3*o + 4 - 6*o - 4*o**2 - o**2. Let k(a) = -11*a**2 - 7*a + 9. Calculate 7*c(m) - 3*k(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140 (base 6) to base 5.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + o**2 - 2*o + 7. Let z(i) = 3*i**3 - 3*i**2 + 5*i - 20. Let q(k) = -8*f(k) - 3*z(k). Determine q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 1. Let w be l(-4). Is (-2)\/w - 304\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85665*f**2*j*w - 2*f**2*w + 2901*f**2 - f*j - 4*f with respect to w.\nAnswer: -85665*f**2*j - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1048 (base 14) to base 8\nAnswer: -5370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 33, 48, 63, 78?\n\"Answer: 15*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*r**4 - 405*r + 405*r)*(-2 + 4 + 0) to the form t + y*r + g*r**3 + d*r**4 + w*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 - 19. Let p(m) = -m. Let k(v) = 4*v + 3. Let i(z) = k(z) + 3*p(z). What is i(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39878 is divided by 7970?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -448 + 450. Let n(p) = -p - 11. Let l be n(-13). Solve -f = l - 6, -2*s + z*f - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003253877 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77344179 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 + 917. Suppose 0 = -2*r + 3*p + 288, 2*p + l = 4*r - p. Calculate the remainder when r is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 4*i. Let t(l) = l**2 - 3*l. Suppose -5*a = 2*k + 20, 3*k + 3*a = -0*a - 12. Suppose k*m + 2 = -m. Determine m*g(c) - 3*t(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -812.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 - 4*x. Suppose -2*w - 5*f = 5, -17 - 1 = -3*w + f. Let g(z) = -3*z + 6. Let v(l) = 2*l - 5. Let u(y) = w*g(y) + 6*v(y). Give u(t(n)).\nAnswer: 9*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 7*y + 2. Let a be d(4). Let j be ((-24)\/16)\/((-1)\/a). Let i(v) = v + 15. Let n be i(j). Solve 2*g - 1 - 1 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 317, -220, -757?\n\"Answer: -537*p + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45486, -91435, -137384, -183333, -229282?\nAnswer: -275231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -122?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 - (0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277.2 + -272. Let w = y + -5.16. What is the nearest to 1 in -3, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 19\/4. Suppose 0*x = 5*x + 5. Let f = -2.708 + -0.292. Which is the nearest to x? (a) w (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -2*n - 5*p + 22, 0 = 3*n - 4*p - 23. Suppose 10*w - 59 - n = 0. What is the greatest common factor of 42 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 36 (c) 4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*h - 16*h - 21*h to k*h + m and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k**3 - 9*k**2 + 5*k**2 + 20*k**2 - 12 + 8*k**3. Let r(f) = f**3 - f**2 + 1. Let p(t) = l(t) + 12*r(t). What is the third derivative of p(w) wrt w?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*z + 26112*b**2 - 2*b*z**2 + 5*z**2 + 12*z + 1 with respect to z.\nAnswer: -2*b**2 - 4*b*z + 10*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3328 and 110086496?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 51.6. Let b = 75 + -27. Let c = b - r. Round c to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 15*a - 25. Let v be t(-15). Let m = v + 31. Is 1169 + 6*(-4)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.18ml in litres?\nAnswer: 0.56218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -2\/25 (c) -6\/11 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001221012 + -201?\nAnswer: 1001220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-100)\/30 - 2\/(-6). What is the fourth biggest value in 0, b, 0.5, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*x + 15. Is (50\/(-3))\/x*(4 + 14) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 277574, 2, -2, 14, -15 in increasing order.\nAnswer: -15, -2, 2, 14, 277574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78766.9 and 0.7?\nAnswer: 55136.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/50)\/((7\/35)\/(-1))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34158527.\nAnswer: 13, 907, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 5*c = 2*n + 13, -5*c = 5*n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 32\nAnswer: -45\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3*z**2 + 8*x**3*z - 72*x**3 - 11*x**2 + 866*x*z**2 - 9*x*z - 2*z**2 - 3*z wrt x.\nAnswer: 6*x*z**2 + 48*x*z - 432*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 616697407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2126*g + 14907. Determine q(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936811 is divided by 702?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 2, m: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 717124.6 tonnes in milligrams?\nAnswer: 717124600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/23, 4, -0.104, 2 in ascending order.\nAnswer: -0.104, 9\/23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1437568198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*u**3 + 2*j**2 + 376*j*u**5 + 12*u + 16 wrt u?\nAnswer: 6*j**2*u + 7520*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -46 - -5 - -25.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 - -6*(-1519)\/(-21390).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -16. Let r(h) = 9 - c*h**2 - 3*h + 2*h + 3*h**3 - 4*h**3 + 4*h. Is r(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -11, 5, -111, -79 in increasing order.\nAnswer: -111, -79, -11, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 444629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -479 + 9*l - 486 - 2*l + 965. Let d(f) be the second derivative of 5*f**3\/6 - f. Calculate 6*d(b) - 5*m(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y - 68. Calculate the least common multiple of 38 and s(16).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592688136 a multiple of 3148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7659467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, 68, 4, -4, 0, -37 in descending order.\nAnswer: 68, 18, 5, 4, 0, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zizijj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80917 + -80954.093. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 37, 58, 83, 112, 145, 182?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let h(r) = 4*r. Determine g(h(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 17, 284, -12 in decreasing order.\nAnswer: 284, 17, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.877424 and -0.23.\nAnswer: -1.107424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10280000 rounded to the nearest 100000?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -224, -229, -234, -239, -244?\n\"Answer: -5*q - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 less than -0.0201?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2127620670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2 + 0*k**2 + 9*k + 10 + 9*k**2. Let x be j(-8). Suppose 5*f - 116 - 14 = x. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 - 5*v + 2. Let p be x(5). Let k be (4\/3)\/(p\/(-6)). Let i = -0.313 - 0.087. What is the nearest to 1 in i, 4, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*i**5 + 79*i wrt i?\nAnswer: 1380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x + 31*x - 79*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 2)*(-32)\/(-10). Let l(z) = z + 18. Let k be l(g). Suppose 80*b - 81*b + k = 0. Solve -b*o + 2 = 2*a - 4, 2*o + 1 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*n**2 + 6*n - 3*n + 146171 - 146176 - 64*n**2 to the form x*n**2 + o*n + a and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.65? (a) 0.7 (b) -1\/2 (c) 0 (d) -2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -971087, -1942263, -2913429, -3884579, -4855707?\n\"Answer: h**3 - h**2 - 971180*h + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23614536 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 is the derivative of 160*m - 32*m**2 + 28 - 160*m wrt m?\nAnswer: -64*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*h + 28388202 - 28388202.\nAnswer: -292*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17*y*y**(-3\/4))\/(y\/(y\/(y\/(y*(y\/y**(-16))\/y))))**49 assuming y is positive.\nAnswer: y**(3205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*z = 169149, 257*i - 252*i - 845682 = z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9951781 - 0.1.\nAnswer: -1.0951781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251670737?\nAnswer: 17, 870833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 5*p - 5. Let c = 0 + 5. Let w be u(c). Sort -4, 5, w in descending order.\nAnswer: 5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678028400 + 678028400 + 182*w**3.\nAnswer: 182*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 70005499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -57. Which is the third biggest value? (a) 1\/2 (b) 7 (c) -5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8101*k**2. Let a(r) = -343*r + 696*r - 352*r. What is a(u(s))?\nAnswer: 8101*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 417, 443, 489, 561?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 19*r**4\/24 - 39*r**3\/2 + 3385*r**2. Calculate g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let n(g) = -98*g - 2. Calculate n(d(f)).\nAnswer: -196*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1263*l - 640 wrt l?\nAnswer: 1263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28040 = -2191*t + 87888 + 33060 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 21, 2\/7 in ascending order.\nAnswer: 2\/7, 2\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.48 and -1.2.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 53245?\nAnswer: 319470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -30. Solve -z*v - 5 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21323213210 (base 4) to base 15.\nAnswer: 366612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2445410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*o**3 + h*o**2*x + 31*h*o*x + h - 34*o**3*x - o**2*x wrt o?\nAnswer: 6*h - 204*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/327 and -26\/75.\nAnswer: 8175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 215. Let t(b) = b**3 + 3*b**2 - 30*b - 9. Let a be t(-7). Sort -4, r, a in ascending order.\nAnswer: -4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*p + 24*a - 23*a - 4, 0 = 2*p - a - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5228 times -0.2\nAnswer: 1045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*q + 14 = -d, 5*q = 4*d - 6. Let b be (-150)\/d*12\/(-9). Suppose -b = -4*n - n. Solve 5*r + 7 + 1 = 2*t, -4*r - n = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2842.\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*x**2*y**3 + 7*x**2*y**2 - 181*x**2 - 40*y**3 wrt y?\nAnswer: -384*x**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17605 and 18070275?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 8304267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5 + 27. What is the remainder when 47 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335 = -273*a + 34*a - 28*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 + 8*d - 22. Let q(w) = -2*w**3 + 12*w**2 - 27*w + 67. Calculate 7*g(f) + 2*q(f).\nAnswer: 3*f**3 - 4*f**2 + 2*f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (88\/14 - 6) + 943\/7. Suppose -3*v = -m + 18, -2*m + 3*v = 2*v - 31. What is the highest common divisor of m and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*s = 3*w - 1070, w = -2*s + 202. Let d = -205 + w. Solve -6*b + 5*n = -3*b + 5, -d*n = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*q**3 - 13*q**2 + 14*q**2 - 2*q**3)*(0 + q + 0)*(6 + 5 - 3) as y*q**3 + p*q**2 + x + f*q**4 + n*q and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**2 - 2*f**2 + 7*f**2)*(4*f**2 + 3*f**2 - f**2) - 2*f**2 + 2*f**2 - 2*f**4 to the form h*f**3 + u*f**2 + c*f**4 + t + v*f and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/3 in -0.65, -5, 5, 3, 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06026 + 31.4?\nAnswer: 31.46026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 1)\/(-2 + 1). Let d = -5 + n. Let b(z) = -z + z + d*z. Let j(u) = 2*u. Give j(b(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 6*s**2 + 3*s + 3. Let v be g(6). Suppose -7*y + v + 14 = 0. Solve y*z - 2*f = -18, z = -0*f + 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-56)\/(-20) + -4)\/((-3)\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-16*((-27)\/12)\/9).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 106. Let u(g) = -3*g**2. Determine c(u(n)).\nAnswer: -3*n**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 7, 0, -58 in increasing order.\nAnswer: -58, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*x + 12 + 228, 0 = -2*x. Suppose -4*i + p = 4*p - l, 24 = 2*i + 2*p. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -357*h**2*v + 6679*h**2 + 5*h*v - h - 12*v + 15 wrt v.\nAnswer: -357*h**2 + 5*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5)*(8*l**3 + 54*l**3 - 4*l**3).\nAnswer: -290*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u, 522 + 117 = 3*r + 3*u. Let a be (8\/(-14))\/((-160)\/70 + 2). Let z be r\/95 + a\/(-10). What is the highest common factor of 14 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*9\/(-60))\/((-60)\/(-800))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293692437 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n**2 + 2*n + 4. Let t(m) = 14*m**2 - 3*m - 7. Let c(j) = -3*t(j) - 5*x(j). Let v(h) = 4*h**2 + h - 1. Give 3*c(k) + 5*v(k).\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 z when four letters picked without replacement from gzgrzggygzgy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -49. Suppose -2*l - l = -p*l. Solve l = y + 4*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**3 - 2*t**2 - 3*t - 2. Let l(u) = 14*u**3 - 2*u**2 - 2*u + 11. Let s(d) = -2*d**3 - 3. Let k(c) = l(c) + 4*s(c). Calculate 2*g(a) - 3*k(a).\nAnswer: -4*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose 6*w + 76 = a*w - 2*h, 4*w = 5*h - 62. Calculate the common denominator of 48\/(-32) - 179\/w and -79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w**2 - 6*w**2 + 4*w - 5*w**2)*(-4383*w + 542*w + 423*w) to the form x*w + b*w**3 + p*w**2 + m and give b.\nAnswer: 13672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 469.1108 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 31, 58, 117, 220?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 11*s - 21. Let d be l(13). Let u(n) = -12*n - 9. Let c(i) = -47*i - 37. Let o(g) = 2*c(g) - 9*u(g). Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 15*t - 94. Let h(d) = 3*d**2 + 32*d - 188. Let k(j) = 3*h(j) - 5*x(j). Let u be k(15). Let m(s) = -4*s - 7. Determine m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157107395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j - 1. Let a be t(-2). Suppose 35 = 4*c - a. Solve 5*s + o = -o - 18, s = 5*o - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.018 + -4.782. Let f = h + 0.8. Let t = -0.7 + 1.2. Which is the closest to -0.1? (a) 0.1 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p - 798 = 0. Let s = -13234702\/49861 - -24\/7123. Let f = s - p. Which is the closest to 1\/2? (a) -1 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-30089)\/3 - -1)\/(1586\/78 - 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u - 20. Let b = 26 + -14. Suppose 0 = 7*k - b*k + 20. Put 0, k, u in ascending order.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r**2 + r - 1. Let b be w(1). Which is bigger: b or -24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14*v**(-1\/26))\/(v**(1\/4))**(6\/5) assuming v is positive.\nAnswer: v**(888\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 24131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 14*m + 14*m - 29*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((-3*sqrt(38) + sqrt(38))*-2 + sqrt(38) + (sqrt(456)*1)\/sqrt(12))\/(-6*sqrt(648)).\nAnswer: -sqrt(19)\/18 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)**10*(c**(2\/7)\/c*c)**(-7))\/((c*c*c**(1\/2)*c*c*c*c)**(-1\/8))**(-18) assuming c is positive.\nAnswer: c**(-213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -53. What is the closest to 0 in -1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 13*x**2 + 112*x - 28. Let y be v(-19). Suppose 13*w = y*w - n + 893, 0 = 4*n + 4. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -19) + -4 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 20*w - 93. Let g be q(24). What is the highest common factor of g and 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 190*g**2 + 189*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/115673 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68207 = -124*x + 33192 + 38969. What is the greatest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 80317.\nAnswer: 1\/80317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.3 or 28399084?\nAnswer: 28399084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + h)*(-14*h**2 + h**4 - h + 5*h**2 + 8*h**2).\nAnswer: h**5 - h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-1392)\/290\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*k**4 - 59*g**3*k**2 + g**2 - 75*k**6 + 2*k**2 wrt k.\nAnswer: -24*g**3*k - 9000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1616 divide 38020942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72194 rounded to three dps?\nAnswer: -0.722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 16*m + 70 = 112, -h + 4 = -2*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*20\/330.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b - 48*b = -2830. Let d = b + 282. What is the fourth biggest value in 2\/15, -17, 0.4, d?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 11*c**2 + 23*c + 8. Let z be f(-10). Let n = -111 - z. Let i(d) = d**3 - 9*d**2 - 18*d + 24. Let o be i(n). Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q - 173. Let u be r(17). Let j(m) = m**2 + 21*m + 20. Let y be j(u). Factor 2\/7*i + 4\/7*i**2 - 2\/7*i**5 + 0*i**3 - 4\/7*i**4 + y.\nAnswer: -2*i*(i - 1)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 10*t**2 + 0*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45118 and 310828?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -876 - -334. Let g = -73 + j. Calculate the remainder when 13 is divided by (-6)\/33 + g\/(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by -192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61405 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*r + 32 - 91 = 0, 5*a = 5*r + 65. Solve 3*f - 4*q + a = 0, 4*q - 8 - 10 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 8*y + 7. Let g be n(-7). Let k(u) = u**3 - 5*u**2 + g*u**3 + 7*u + 3*u**2 + 9*u**2 - 1. What is k(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255516577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a day?\nAnswer: 4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 16. Let m be (-6)\/8*796\/q. Let s = m - -50. What is the nearest to s in 2, -2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235 - -187. What is the remainder when (29\/(-116))\/(2\/u) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y + 3. Let n be b(3). Let c = -18 + n. Let x = -12 - c. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183*c**3*m**3 + 41*c**3*m + 4*c*m**2 + m**3 + 2*m wrt m.\nAnswer: -1098*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 w when four letters picked without replacement from woooooowo?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-444)\/14)\/(18\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 6 - 3*k**2 - 6 + k - 3*k**2 - k + (0*k + 0*k - k)*(-21*k + 13*k - 27*k) as q + c*k + f*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88765 and 7031705.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15*2)\/3 + -1. Suppose -14 = -i*f + 2*f. Suppose -5*j = -3*n + 51 - 14, 0 = -2*j + f. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284*h**3 + 1049*h**3 - 2712*h**3 + 932*h**3.\nAnswer: -4015*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151509995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157341 divided by 52447.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -283 + 33. List the prime factors of (114 + -115)\/(2\/j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = 0, -3 = -s + 2*c + 19. What is the least common multiple of s and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/1470)\/((-69)\/(-460))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 35*y**2 + 13*y + 9. Let a(l) = 8*l**2 + 12*l + 7. Let z(w) = 5*w**2 + 14*w + 8. Let k(o) = 4*a(o) - 3*z(o). Calculate -6*b(d) + 13*k(d).\nAnswer: 11*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1)**2*-4 + 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.177054 - 0.177. Round c to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147947.62 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1473? (a) 2 (b) 120 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*v**3 - 245*v**3 + 191*v**3.\nAnswer: 134*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*j**3 + 4923*j**2 + 1134*j.\nAnswer: 3*j*(j + 126)*(13*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**6\/30 + u**4\/4 + 4*u - 3. Let z(d) be the first derivative of c(d). What is the third derivative of z(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.81142 decades to months.\nAnswer: 10417.3704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 4:11 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 0, -726, 1 in descending order.\nAnswer: 7, 3, 1, 0, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2974 - 2110. Calculate the highest common divisor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16434 or 20812?\nAnswer: 20812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)\/y**(-3)*y**(1\/4)*y\/y**(-3) assuming y is positive.\nAnswer: y**(269\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x = 207023 + 45643. Is x not equal to -4678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8861796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.31955 centimeters to millimeters.\nAnswer: 843.1955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000859849 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.1, 5, -1, 0.13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49380 is divided by 9711?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 l when four letters picked without replacement from xllxxyllllxyx.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 23. Let y(a) = -a - 35. Let o(v) = -8*t(v) - 5*y(v). Let p(g) = -3*g - 8. Give 6*o(b) - 7*p(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otkkoouqkktqkkoqu. Give prob of picking 1 o and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1601 + 1921. What is the lowest common multiple of x and 88?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4118102007 and -11847.\nAnswer: 4118090160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1946 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*l - 30, 24 - 6 = 4*b + 2*l. Suppose 0 = -b*n + 23 + 17. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a micrometer in nanometers?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9782081 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -248.7962284 - -271.796237. Let n = y - 23. Round n to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmd. What is prob of sequence jd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-10) - (-14)\/35. Let v be (-46)\/6 - 4\/18*n. Which is greater: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.93 - 0.07. Let r = 6.5 + h. Which is the second biggest value? (a) 0 (b) -1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424219 rounded to the nearest one thousand?\nAnswer: 1424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z**2 - 20*z - 455. Is d(-26) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19084, -19083, -19084, -19087, -19092?\nAnswer: -19099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 13}. Give prob of sequence dvvd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/5 - (0 - 49). Let w = -25 + g. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16021, -32002, -47983, -63964, -79945, -95926?\nAnswer: -111907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 + 122. Suppose -6 = 2*b + 3*o - 1, -v*b + 4*o = -22. Solve b*m = -t - 4*t + 25, m = 3*t - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 10*g**2 + 14*g - 22. Let l be f(9). Solve 4*q + 16 = 0, 2*a + a + 2*q + l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-167)\/33 - 7\/((-1848)\/16). Sort -297, n, -21.\nAnswer: -297, -21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 18, -741?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136, -573, -1304, -2329, -3648, -5261, -7168?\n\"Answer: -147*r**2 + 4*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(-3\/34)\/((k\/(k\/(k\/k**12)))\/k*k**(-6\/7)))**10 assuming k is positive.\nAnswer: k**(15510\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(-2*d - 2*d**3 + 2*d)*((-1 + 0 - 1)*(1 - 2 + 3) - 4 - 2 + 3) to the form t*d**2 + w*d**3 + c*d + p and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 941360 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -96 - (-1 + -1 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122729523*h**3 + 83703624*h**2.\nAnswer: 736377138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:37 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 836 and 1012?\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164237077 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26605 divided by 5321.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*t - 10 = 0, -37*o + 5*t = -38*o + 37. Is o equal to 113\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-65) + (-2)\/(-5). Differentiate -4*f**2 + y - 6 - 3 wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12863.7l to millilitres.\nAnswer: 12863700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = 3*r, -11 + 15 = r - 4*m. Let w(p) = -6*p + 1. Give w(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -7326\nAnswer: 13\/3663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 3*b + 48, 4*q - 145*b + 141*b + 24 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = q, 4*l = -4*q + 44128. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71459 or 99628?\nAnswer: 99628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102220 - 3?\nAnswer: 1102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*a + 8*a. Suppose 0 = -3*d + 2*k + 151, -d + k - 89 = -3*d. What is the remainder when d is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 924 = 4*m, 2*m - 5*y = 7*m + 1145. Let w be 96\/45 + -2 - m\/(-600). What is the closest to w in -0.4, 0.01, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 124 - 115 - 112.\nAnswer: -h - 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2436 = -54*r + 60*r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -0.020469777386.\nAnswer: 4.979530222614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14402418*u**3 + u**2 + u**2 - u + 14406245*u**3 to z + g*u**2 + k*u**3 + n*u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 226, 219, 212, 205, 198?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -1, 2 in decreasing order.\nAnswer: 5, 2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {c: 2, t: 1, j: 2, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k + 9. Let b(a) = a**2 + 4*a + 10. Let d be b(-4). Let f(v) = -v**2 - 5. Let c(t) = d*f(t) + 6*i(t). Find o such that c(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 11}. Give prob of picking 1 m and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 21924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -4*u - 2*d + d, 5*u + d + 115 = 0. Let v = 48 + u. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2882 = 405*h + 2432 + 1976 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v + 3*v + v + 8*v. Let l(j) be the third derivative of -j**5\/30 - 4*j**2. Give u(l(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8734, 8735, 8736, 8737, 8738, 8739?\nAnswer: 8740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420060\/46740 + 728\/(-24)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*r - 9*r - 21, r + 9 = -z. Let k be 51\/15 - z\/(-10). Solve 10 = 3*v - k*g + 40, -4*v - 3*g - 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 15. Let b be 222\/30 - 10\/25. Let u(s) = -s**3 + 9*s**2 - 14*s - 7. Let j be u(b). What is n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 13 - 18 + 2*q**2 + 6 - q to z*q**2 + i + s*q**3 + m*q**4 + u*q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/20 + 11*a**4\/12 - 5*a**3\/3 + 6*a**2 + a + 2. Let j be b(10). Calculate the greatest common divisor of 144 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120353533 to the nearest integer?\nAnswer: 10971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 11 (c) -2\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103090 is divided by 58.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + -0.16. Which is the second smallest value? (a) -2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 171, -4, -31 in descending order.\nAnswer: 171, 115, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35513.09 - 35513. Let u be 2\/(-9) - 58\/(-18). Which is the second biggest value? (a) 2 (b) -3 (c) u (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/28923934 and 109\/440466.\nAnswer: 86771802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 82800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 20 - 13 - 12*g + 4 to the form u*g + p and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50719261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1026*c**2 + 2043*c**2 + 4 - 1016*c**2 - 4*c**3 + 5*c - c**3 + 5*c to the form g*c + k*c**3 + f + o*c**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*o**2*w - 1590*c*o**2 + c*o*w + 15*o**2*w - 10*o*w wrt c.\nAnswer: -o**2*w - 1590*o**2 + o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose v = 2*l + 5. Put -5, 5, l in ascending order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -63*g + 1. Is c(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*l = 4, -2*p - 3*l = -0 - 2. What is the smallest common multiple of p and 6*1 + 0\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 718225, 4, 1 in decreasing order.\nAnswer: 718225, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, -475, 1.\nAnswer: -475, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 24*m + 506. What is t(-18)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + -16*(-4)\/8. Let q be 6*4\/(-8)*(-4)\/4. Solve 4*n = q*l + 4, -3*n = u*l - 5 + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -2. Let n(a) = -a**3 + 7*a**2 + 9*a. Let y be n(i). Let t(f) = 11*f**2 - f. Let h be t(-1). What is the greatest common divisor of h and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5048594\/11 and -45 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2344528592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 10008*b + 3 + 10004*b + 2*b**3 - 5 - 76*b**2 + b**3 to g*b + u*b**2 + d + f*b**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 25831359 and -29.11.\nAnswer: 25831329.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 14569266*m + 17688625981563.\nAnswer: 3*(m - 2428211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 8*y**2 + 16*y + 15. Suppose -41 = -20*k + 79. Calculate the remainder when n(k) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let b(v) = -2*v**2 - 10*v. Let p(q) = -q**2 - q. Let h(d) = -2*b(d) + 6*p(d). Determine y(h(c)).\nAnswer: -4*c**2 + 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 11*w**2 - 14*w + 28. Let f be a(12). Let g = -3928.2 - -3928. What is the closest to -0.2 in 1\/3, f, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 6 - 12 + 11)*(-8*s + 5*s - 6*s)*(s**2 + 5*s**2 - 4*s**2) to w*s**2 + l*s**4 + h + p*s**3 + u*s and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 20, 3*y + y - 20 = 4*w. Suppose 10 = 6*u - u. Let n be 16\/(-66) - u\/(-6). Is n greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -152 and -152 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53385001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(2022\/337*(4\/2)\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from ucuuucuccuucc.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u**3 - 6*u + 17*u**3 - 118*u**4 + u**2 + 8*u in the form m + p*u + i*u**4 + t*u**3 + b*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122817963, 5, 2 in descending order.\nAnswer: 122817963, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m = 39*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -828*q + 828*q - 5*q**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/(-54) - 122078\/(-6444).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -587) + 2\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t - 175. What is u(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 72028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r + u, -r - 3*u + 3 = -u. Suppose 5*g = 3*x - 11, -4*x + 3*g = x - 13. Solve o - 10 = r*q, x - 1 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 4764. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 2. Let k(t) = 2*t - 1. Let a(i) = 8*i - 5. Let o(n) = a(n) - 5*k(n). Calculate w(o(x)).\nAnswer: 28*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3. Let z(k) = k**2 - 3*k + 26. What is 6*p(i) - 2*z(i)?\nAnswer: -2*i**2 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 216*w**3 + 2476*w**2 + 9720*w + 11200 = 0. What is w?\nAnswer: -40, -7, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170, 164, 156, 146, 134, 120?\n\"Answer: -p**2 - 3*p + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231272 by 15.\nAnswer: -231272\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121353225 (base 6) in base 2?\nAnswer: -1000110101100110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/6 + 9*p**2\/2 + 27*p. Let z = 0 + 0. Calculate h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 188922131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70079 divided by -3\nAnswer: -70079\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let i(d) = 110*d. Let p be i(w). Suppose -50 = -7*r + 2*r. Calculate the greatest common divisor of p and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a year in months?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 7) to base 10\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -22. Let l be (-4)\/k - 120\/(-21). What is the third derivative of -2*z**6 - 2*z**2 + 2*z**6 - 2*z**l + 4*z**6 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a - -3?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - 2 - (-4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11657 + 3938. Calculate the common denominator of ((z\/126)\/31)\/(1\/(-3)) and 9\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 5714 - 16*v**3 - 5714 + 4*v**2 in the form t + n*v**3 + j*v + x*v**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525 divided by -30?\nAnswer: -635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 10a0?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:26 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 15*m + 674. Let h be i(34). What is the greatest common divisor of h and 1080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/3 - 5*c**3\/2 + 198*c**2. Let i(j) = j**2. Determine y(i(p)).\nAnswer: 8*p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/(-1)*(-8 + 13). Which is the third biggest value? (a) -2\/9 (b) s (c) 3\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -2 + 3 + 5)*6 + 5*(-1*sqrt(567)*-4 + -4).\nAnswer: 16 + 234*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtthhatttqqhyhtv. Give prob of sequence thyt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*o + 14*o**3 - o**3 - 10*o - 5*o**3 - 4*o**3.\nAnswer: 4*o**3 + 107*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 255281 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1571.9 + 1572. Suppose -2*t + 2*j = -34, 3*t + 54 = 5*t + 3*j. Let r = t - 38. Which is the smallest value? (a) -3 (b) k (c) r (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248484776.\nAnswer: 2, 53, 67, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 36*i - 31*i. Solve 0 = 5*r - 10, -r = -i*n - 2*n - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -112, -119, -128, -139?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -874 in ascending order.\nAnswer: -874, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqfqqmfffrtfqffq. What is prob of picking 1 m and 1 q?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14350, 13513, 12662, 11791, 10894, 9965?\nAnswer: 8998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7710866*n - 2 + 1 + 4*n**2 - 2*n**2 - 7710866*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:47 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122.059 + 121.459. Let q = -0.3 - -0.3. Suppose 1 = 2*m - 1. Which is the closest to m? (a) q (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 83457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -178*s**2 - 538*s - 13. Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 o when four letters picked without replacement from {l: 2, s: 5, e: 3, k: 1, o: 1, g: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((-3 + sqrt(1300) - sqrt(1300)) + -4 - sqrt(1300)) + 3)**2 + -4)*-1.\nAnswer: 160*sqrt(13) + 2624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 7*y. Suppose 2*r - 131 + 35 = y. Suppose -3*v - 2*w = -149, -3*v + 4*v = -w + r. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/7 + 312*b**4\/7 - 4370*b**3\/7 - 15324*b**2\/7 - 1520*b = 0. What is b?\nAnswer: -2, -1, 0, 19, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21662766 is divided by 5303?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4\/7, -1\/5, -13 in ascending order.\nAnswer: -13, -4, -1\/5, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*w = -65, -4*y = y + 5*w - 165. Solve 38*j - 12 = y*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3000330233 (base 4) to base 16\nAnswer: -c0f2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 i when four letters picked without replacement from {s: 3, z: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*c - 232 = -3*z, 0 = 3*z - 5*c - 347. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491.0596 decades to centuries.\nAnswer: 49.10596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 466 + 2*w**3 + 689.\nAnswer: -2*w**3 + 1155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -2. Let x = a - 14. Solve -x*j + 20 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1863*k + 10. Let z(b) = 1875*b + 8. What is -5*t(m) + 6*z(m)?\nAnswer: 1935*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1100 = f. Suppose -3*v + 12 + 0 = 0. Suppose -v*y + f = -9*y. What is the common denominator of 14\/11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -9.34 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 + 18*q + 2. Let u(w) = -3*w**3 - 41*w**2 - 53*w - 7. Let i(x) = 7*t(x) + 2*u(x). Let m be i(-4). Solve m*d = 4*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q + 15*q - 9*q - 4*q - 5*q. Let u(y) = -39*y. Determine j(u(t)).\nAnswer: 546*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a14605 (base 11) in base 14?\nAnswer: -1570751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Let n(o) = -o + 730. What is n(m(r))?\nAnswer: -2*r + 730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + l**2 + l - 30. Give w(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i**3 + 38*i**3 - 18*i**2 + 18*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((5 - -3) + -3) - 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*w - 150*w - 148*w + 448*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 + 10 - -2) - (-13 - -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1470293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 6*g - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(14\/(-3)))\/((-3)\/(-608)). Calculate the highest common factor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 30, -4183?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 10*v + 2. Suppose 3*q = v*o + q - 56, -5*o + 144 = -q. Differentiate -4 + 2*d - o*d + 9*d + 7*d with respect to d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11220201122 (base 3) to base 4\nAnswer: 113213312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - -72. Let j = 3.89 - -0.11. Let d = j - 8. Which is the biggest value? (a) d (b) r (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02299 * -19.7\nAnswer: -0.452903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147085 - -147089. Let t be -1 + 1 + (-4)\/(-22). Let g be 8\/(-9)*3\/2. Which is the nearest to t? (a) -5\/3 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 7:45 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*h + 22*i - 20*i + 24, -h - i = -7 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 + 351*i + 602?\nAnswer: 8*i**3 + 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-13)*8\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Sort 5, 2, n in decreasing order.\nAnswer: 5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) - (sqrt(11) + 2)) + sqrt(11) + -2)**2.\nAnswer: -18*sqrt(11) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11*o*o*o)\/(o\/o**(2\/7))*o**(16\/5)*o**(-2\/113))**(2\/35) assuming o is positive.\nAnswer: o**(130262\/138425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*z - 26, 33 = 5*g + 4*z - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/3314, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = 2*q. Suppose 0*f - q*f - 4 = 0. Let l be 3 + f + -1 - 2. What is the nearest to l in -2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = h - 6*j + j, 3*h - 917 = 4*j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**7\/14 - r**6\/5 + r**4\/4 - 5*r**3\/6 - 50*r. Find the third derivative of u(w) wrt w.\nAnswer: -180*w**2 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267995*h - 268003*h - 267962*h + 803961*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30972 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1537*f**3*u + 79*f**3 + 2*f**2 + 2*f*u + 3*u + 6 wrt u?\nAnswer: 1537*f**3 + 2*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9034\/7*5*7. Find the second derivative of 5*k - 7 - 53*k**4 - 45170*k**3 + c*k**3 wrt k.\nAnswer: -636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkdhm. What is prob of sequence knh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(12\/(-21)) + -1. Suppose -24*u + 27*u + 360 = 0. Calculate the remainder when 63 is divided by (u\/(-45))\/(1\/o).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 143.6. Let l = 3.06 - 0.06. Let h = l + -2.5. What is the second biggest value in r, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -21979 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 2*w - 1. Let g be p(-1). Suppose -5*h - g = 14. Suppose -321*r + 318*r + 9 = 0. Which is the closest to h? (a) r (b) 2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048191 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -204, 5, 47797 in descending order.\nAnswer: 47797, 5, -5, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -13*x**3\/3 + x**2\/2 - 5720*x. Let i(d) = d + 5 - 5. Determine i(a(k)).\nAnswer: -26*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2900 and 9\/11600?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 441226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*u - 30 = 0, 43*o - 47*o - 5*u = -56 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -13, -14, -11, -4, 7, 22?\n\"Answer: 2*r**2 - 11*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5*(24 + -19 - (4 + -2)). Suppose 3\/5*r**4 - g*r + 2\/5*r**3 - 2\/5*r**2 - 1\/5 + 1\/5*r**5 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in 2\/17, 0.1, -4, 0.04, 2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let n = -13 + 5. Let a be n\/(5\/(-1) - -3). Let v(y) = -y - 4*y + 0*y - a*y. Determine v(w(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771 + -771. Let w(c) = 0 - 99*c - 4 - 2 + c**3 + 107*c + l - 9*c**2. Determine w(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89531\/67146 - -1\/22382. Sort s, -0.4, 18, -1 in decreasing order.\nAnswer: 18, -0.4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + 0.65. Let f be 4\/18 + (-25)\/45. Which is the closest to q? (a) 2 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-51) + (-930)\/(-102). Suppose r*d - 568 = 17*d. Let g = d - -73. Solve w + 5*y + 3 = 0, w + 3 = -5*y + g*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 4, r: 2, l: 3, s: 1, g: 6}. What is prob of picking 1 x, 1 l, and 1 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*n**2 - 86*n**2 - 17*n**2 + 2 as x*n + k*n**2 + i and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2840 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 3318*r + 434720.\nAnswer: -(r - 130)*(r + 16720)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72456.86 micrograms?\nAnswer: 0.07245686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 2*m - 2, 3*s + 5*m = 10. Let f = 2 - s. Let n = 4 + f. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/5))\/f)\/(f\/(f*f**(1\/6))*f) assuming f is positive.\nAnswer: f**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -4, -2*k - 274 = -4*a. Let x = -25 + a. Suppose v + x = 3*v. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17209393*c**2 - 5*c - 317512 wrt c.\nAnswer: 34418786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 + q**4\/12 - q**3\/6 - q**2\/2 - q. Let t be u(0). What is the nearest to -1 in t, 0.4, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62104, 124292, 186480, 248668?\n\"Answer: 62188*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.77, 1, 1190\/11, -2\/5?\nAnswer: 1190\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -53. Which is the nearest to h? (a) 0.3 (b) -2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(-12))\/u*u*u\/u**(-31)*u)\/(u*u**(11\/2))**(-13) assuming u is positive.\nAnswer: u**(265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313 + 292. Let k = 28 + l. Calculate the highest common divisor of 105 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:06 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -2\/15 (c) -0.24 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 4. Let u = 17 + -17. Let t be c(u). Suppose -8 = -6*z + 2*z. Solve 4*y = -4*h + 4, z*h - 5 = -3*h - t*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 29*v**2 + 20*v - 218. Determine m(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tweeiwtwytiiiqieieti. What is prob of sequence www?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 - 2. Let p = 2 - 4. Let v be p*2*(-2)\/24. Sort 4, f, v in descending order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000111111100 (base 2) to base 11.\nAnswer: -11767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rattgttcracrttz. Give prob of sequence zrr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386484705.\nAnswer: 5, 83, 3340927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12133*f - 109222. Give v(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 w when four letters picked without replacement from wddwdpdpwpdddwddp.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -70, -111, -154, -199, -246?\n\"Answer: -l**2 - 36*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)*f**(-8\/7)*f**(11\/3)\/(f**(-12)*f) assuming f is positive.\nAnswer: f**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569869 is divided by 462.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 2*z**4 + 0*z - 5*z**4 + (-4*z + 2*z + 4*z)*(2*z**3 - 4*z**3 + 4*z**3) to q*z**3 + h + r*z**2 + d*z + p*z**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = -32*u - 40. Suppose 1 = -2*z + 3*z. Suppose p = u*f + 22, -f = p + 1 + z. Solve 0 = -i + p*x - 8, -i - 4*x - 14 = -9*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1195.02611 + -1195. What is n rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -443 - -439. Sort y, -0.3, 0.3 in increasing order.\nAnswer: y, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 3369765.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjyjyyyyyjyjyjy. Give prob of sequence jyy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 71. Suppose h*c = 12 - 52. Let x(k) = -k**2 - 8*k - 1. Let m be x(c). What is the second biggest value in m, 0.4, -1\/11, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y - 1038. Give x(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2016\/(-77) + (-6)\/(-33). Let a = x - -30. Suppose -c = 4*b - 10, -4*b + 0*b + 16 = 4*c. Solve 0 = -o - 3*n + c - 3, -3*n = -4*o - a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/((t*t**2)\/t)*t)))\/(t**(-2\/9)*t))**(-4))**(1\/3) assuming t is positive.\nAnswer: t**(28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 18 = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q - 135*q - 2555 + 1565 - 2278 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3496)\/11 - (-2)\/(-11). Calculate the common denominator of 25\/78 and (-6)\/(-8) + l\/(-40).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 10*d - 1. Let c be u(10). List the prime factors of (c - 4\/1)*-10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 3\/8 (c) -0.2 (d) -1\/1578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from {v: 7, b: 3, c: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 171? (a) 3\/5 (b) 0.4 (c) 0 (d) 21\/10 (e) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1644960 and -83\/1710.\nAnswer: 93762720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/2 + 13557*f**2\/2 + 16931937*f\/2 + 3549057903\/2 = 0.\nAnswer: -2129, -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*f + 13, 4*h - 4*f = -0*f - 12. Let i(v) = v + 8. Let b be i(-6). Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-36)\/q*q)**(-10\/3)\/((q\/(q*q*q**(-6)*q)*q*q)\/(q\/(q*q**(6\/19)\/q))) assuming q is positive.\nAnswer: q**(6347\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 18*d**2 - 54*d - 969. Determine s(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*p*q**4 - 4*p*s - 2*q**4*s - 1348*q**4 - 647*q**2*s - 8*q*s wrt q.\nAnswer: 336*p*q - 48*q*s - 32352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 32. Suppose f = -8*h + 3*h + 55. Solve 5*o - 5 = -2*r, o - 5*r - 17 = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14255 and 2360.2228.\nAnswer: 2360.36535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 466 (b) -0.01 (c) 44 (d) -5 (e) -2\/11 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fppi when four letters picked without replacement from fpffpffpibpff?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, g: 1, h: 1, f: 1, p: 2}. Give prob of picking 1 p, 1 f, and 1 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 + 10*p**3 + 18*p**3 - 9*p**2 + 20*p**2.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 57*p + 430. Determine y(-13).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 1. Let m(v) = -265*v + 1467. Let l(t) = m(t) - 5*p(t). Differentiate l(x) wrt x.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1332\/888*(28\/6 - 0) + 620 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27 = 4*p, 0 = -8*f + 3*f - 3*p + 16. Let h(t) = -9*t**3 - 2*t**2 - 5*t - 23. Let q(a) = 6*a**3 + a**2 + 3*a + 15. Calculate f*h(s) + 8*q(s).\nAnswer: 3*s**3 - 2*s**2 - s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42016*-1\nAnswer: 42016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2908317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnh. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 626582 and 39246818.\nAnswer: 431714998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f)**(-39)*(f*f**1)**(-31\/4))**(2\/83) assuming f is positive.\nAnswer: f**(173\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -16*j + 13. Calculate k(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 2*v**2 - 3*v + 2. Let w be u(2). Suppose z - 4*z + w*b + 94 = 0, 112 = 4*z - 2*b. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((9 + -2)*-2)\/(-2). Let q(w) = -5*w - 2. Let a(h) = 5 + 2*h + 2*h + h + 6*h. Give z*q(v) + 3*a(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z**2\/7 - 1808008*z\/7 + 164364\/7 = 0.\nAnswer: 1\/11, 41091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 7\/(1 - 348\/346). Suppose -3*w + 981 + 242 = -2*z, 3*w - i = 4*z. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55069 times -315\nAnswer: 17346735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 + -11 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63482 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l - 19*l + 1 - 16*l.\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 18. Calculate the remainder when 42 is divided by d(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uazu. Give prob of sequence uuz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*b**2 + 1630*b**2 - 28 - 808*b**2.\nAnswer: 10*b**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, 94, 393, 964, 1897?\n\"Answer: 15*a**3 + a**2 + 9*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 7. Suppose 0*b = 3*b + 12. Let k be (-1 - -7)\/((-3)\/b). Solve 2*n + 16 = -5*z, 4*z - k*z - f = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let a = 4 + q. Suppose -2*g + 5*s - a = 0, 3*g - 2*s + 0*s - 8 = 0. What is the nearest to -1 in -3\/7, 0.2, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.84 + 3.7968. What is k rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 426 + 438 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:16 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -311*u - 6. Let n(g) = -616*g - 11. Give -7*k(b) + 4*n(b).\nAnswer: -287*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 655013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2 + v + 0 - 10*v**2 + 12*v**2. Let b be m(-2). Find the second derivative of 41*t**4 - 5*t + 4*t**5 - 41*t**b wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125 < -2946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/6 + 8633*t**3\/6 - 18292931*t**2\/6 - 1481496965*t\/6 + 7662274100 = 0. What is t?\nAnswer: -101, 24, 4355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 983116 and 1474674.\nAnswer: 2949348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30*(1 + (-27)\/(-15)). Let u = c - 39. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 8.6. Let m = 6.6 - -0.4. Let q = m - 12. What is the second biggest value in q, 2\/11, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 56*a**2 - 54*a - 93. Calculate o(57).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 10768*b + 14493728.\nAnswer: 2*(b + 2692)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 4*h**3 + 3*h**5 + (-h**2 + h - h)*(h**3 + h**3 - 7*h**3) + 1 - 1 - h**5.\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = 6*r - 287 - 79 for r.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3207.196 to the nearest ten.\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppkfppgkpppp. Give prob of sequence fk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3252?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 10. Determine k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27506, 27391, 27298, 27227?\nAnswer: 27178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 26*v**2 + 23*v + 51. Suppose -2*b = -4*a + 1 + 13, a + 3*b = 0. Suppose -22 = -5*i + a. What is the smallest common multiple of i and k(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.087? (a) -5 (b) -2\/13 (c) 3 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68007*n**3 - 67784*n**3 + 135790*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/2 + 105*z**3 - 474*z**2 - 96873*z + 194481\/2 = 0. Calculate z.\nAnswer: -49, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*g + 383*g + 819*g = 16136 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 6*(sqrt(612) + sqrt(612)*-3) + sqrt(612) - (2 + (sqrt(204) - (sqrt(204)*2 - sqrt(204)))\/sqrt(12)).\nAnswer: -60*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 176*o - 13*o**2 - 82*o - 83*o - 17 - 7*o**2. Let y(k) = 7*k**2 - 4*k + 6. Let p = 73 - 79. Determine p*v(a) - 17*y(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:16 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.17692 rounded to 1 decimal place?\nAnswer: -257.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1049?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -59. Is j less than 3\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907 divided by 2527?\nAnswer: 5907\/2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -100497\nAnswer: -2\/33499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(5) + -1 + 4.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let r(u) = -413*u + 372. Let b(c) = -2*o(c) + 2*r(c). What is the derivative of b(g) wrt g?\nAnswer: -826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84373 and 141641.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*r = -89, 0 = -6*x + x + 5*r + 155. Suppose -2*u + 20 = 4*m, -x = -5*m - 5*u - 5. Solve c = 5*c - m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**5\/60 + 4*p**3 - 4*p**2 - 15. Let j(g) be the third derivative of o(g). Let f(h) = -3*h. Determine j(f(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*1 - (sqrt(12) + (5*(sqrt(12) - sqrt(36)\/sqrt(3)) - sqrt(12))))\/(sqrt(48)\/(sqrt(72)\/sqrt(6))*3) + -4.\nAnswer: -4 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 23565 - 10539. What are the prime factors of b?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/93, 1, 12\/5?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -77. Let o be (3\/(-2))\/((-21)\/x). List the prime factors of (-8)\/16 + (-63)\/o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-3*(1*sqrt(91) - sqrt(91)) - sqrt(91)) + (sqrt(91)*2 + sqrt(91))*1))\/(6*5*3*sqrt(343)).\nAnswer: -4*sqrt(13)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29466, -117869, -265208, -471483, -736694?\nAnswer: -1060841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - -8) + (-1 - -2). Let m = 65 - j. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150610.\nAnswer: 2, 5, 115061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 7*t + 9*t - 60 = 0, -2*t + 96 = -5*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -546, -1155, -1766, -2379, -2994, -3611, -4230?\n\"Answer: -g**2 - 606*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 2551. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 7*q**4\/12 + 21*q**3 - 148*q**2. Calculate the remainder when 83 is divided by c(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 91*f**2 + f + 6. Let q(x) = 8*x**2. What is g(q(j))?\nAnswer: 5824*j**4 + 8*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*1 + ((sqrt(77)*1 - sqrt(77)) + sqrt(77))*6)\/(sqrt(1008) - -5*-2*sqrt(1008)))**2.\nAnswer: 539\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgwi when four letters picked without replacement from {v: 3, g: 4, i: 6, w: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 4, i: 4, z: 3, a: 3, l: 2}. What is prob of sequence ljzz?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w. Suppose 5 = 2*m - 7. Let r(p) = 56 - 30 - 537*p - 26 + 542*p. What is m*a(y) - 5*r(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -29*r**2 - 3*r. Let z(p) = 58*p**2 + 5*p. What is 5*t(l) + 3*z(l)?\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1 + 0 - 2*b + 3.\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -44*n**2. Let m(j) = -72 - j + 72. Give h(m(b)).\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0 - 2*n**4 + 17*n**2 + 3 + 6 to the form m*n + o + i*n**2 + f*n**4 + l*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.817?\nAnswer: 0.3268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 24. Suppose -2*x = 6*x. Calculate h(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -43. Let u be (-1)\/4*-5*(-4)\/y. Suppose -5*d + 5*j + 1 + 4 = 0, 0 = 4*d + 4*j - 20. Which is the closest to 0? (a) u (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 + (12 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 - 7*v**2 - 6*v + 6. Let f be r(3). Suppose -4*w + 8*w - 28 = 0. Suppose -2*c + 5 = -w. Solve s - c = m, -3*s - 2*m - 3*m - f = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42550.749 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Let o(v) = v - 5. Let m be o(-5). Let f be (1\/m)\/(8\/60). What is the nearest to 1 in 1\/4, n, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -5*s**6\/6 - 47*s**3\/6 - 3697*s**2 - 856*s + 6. Differentiate c(w) with respect to w.\nAnswer: -100*w**3 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:34 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000637708416 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 26010.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50284 divided by -3868?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 22*a - 384. Let l(f) = -f - 6. Let y be l(6). Let u be (y\/(-8))\/((9\/a)\/(-1)). What is the greatest common factor of 144 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*j - 2351 = 0, d - 4*j - 4672 = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 121, 452 in descending order.\nAnswer: 452, 121, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102861?\nAnswer: 1102861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/14430 and 40\/1034631.\nAnswer: 10346310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 7, c: 1, d: 2}.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-33))\/(4770\/198 + -24). Solve -10*o + 41 = -3*o + 5*r, 0 = -f*o + 2*r + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14) + -1)*2940\/(-50).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-16)\/(-16)*1\/(-50)*2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q - 3831 + 3831 - 3*q**3 - 3*q**2)*(-26 - 8 + 5) in the form o*q + f*q**3 + a*q**2 + y and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106052 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/266 and -47\/76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400 is divided by 207.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -34, -36, -28, -10, 18?\n\"Answer: 5*h**2 - 27*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, k: 8, j: 5}. What is prob of sequence kvkj?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 20*l**2 - 9*l + 2095. Determine t(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5411 = 3385. Suppose -5*x = -4*m + 9745, x + r + 236 = m. Suppose -u - m = 3*u - 2*f, -4*u - 5*f = 2465. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.63121 * -0.5\nAnswer: -2.315605","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {w: 4, x: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/6)\/6*3\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 + 54876*i + 75150272 = 0.\nAnswer: -12176, -1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1475 and 2655?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2749952*z**6 - 31331*z**2 + 2*z + 8 wrt z?\nAnswer: 329994240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-12)\/(-7)*(-224)\/(-64) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s - 1 = 5*j, -4*s - 5*j + 2 = 0. Suppose h - 4 = -s. Let n(r) = 2*r - 1. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3*q + 3*q**3 + 6 + 4*q**4 - 3*q**2 - q**4.\nAnswer: 3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1322*x - 11096 - 16666 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 54 in descending order.\nAnswer: 54, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Suppose 3*t + j = 17, -2*t + 4*j + 15 = -1. Suppose l = k - t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 96.98487 minutes?\nAnswer: 5819.0922","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 3*i = -936. What is the remainder when i is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37535793*y**2 + 43982057*y wrt y.\nAnswer: -75071586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 209.4408 and -4116?\nAnswer: 4325.4408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -7 + -50 - 48.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 2, p: 4, o: 9}. What is prob of picking 1 y and 1 u?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b6 - 187?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1116.0214746 - 4502188445.0214746. Let l = c + 4502187423.99999918. Let m = l - 95. What is m rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 17909684\nAnswer: -11\/17909684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*-23*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/42*(-2)\/((-8)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -56*f + 508. Determine s(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 385267 * -2\nAnswer: -770534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64452, -128906, -193358, -257808?\nAnswer: -322256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/9 + 13305*y - 239494\/9.\nAnswer: (y - 2)*(y + 119747)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63598170?\nAnswer: 2, 3, 5, 2119939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + (-1342)\/77)*(-9 + -2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 5*j**2 + 1\/60*j**5 + 0*j**3 + 1\/24*j**4 + 1 + 2\/15*j**6 + 0*j. What is b(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11229 and 1278.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 2 - 2 - 77*c as j*c + h and give j.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -272, -1064, -2384, -4232, -6608, -9512?\n\"Answer: -264*g**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 1. Let c(b) = -b**3 - 4*b**2 - 4*b - 2. Let u be c(-2). Let j be g(u). Let v be 1\/5 - 12\/(-15). What is the highest common factor of v and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 17*t. Suppose -y + 7 - 3 = t. Solve 0 = y*z - 11 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -320 + 1?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**5 - 4*a**4 - 60*a**3 + 40*a**2 + 54*a - 36 = 0. What is a?\nAnswer: -3, -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 15622 + 112*h**2 + 41*h**2 - 24*h**2 + 15621 as m + a*h**2 + o*h**3 + u*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -12*o + 209. Suppose -15*i + 9*i + o = 0. Let d = 5 - 2. Solve -2*n = -3*k + 10, d*n - i*k + 6 = -9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 2) + 69 + 6. Let m be (1\/(-3))\/((-3)\/o). Let c = 3 + m. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 12242786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-503)*-4*(-12)\/32. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p - 5*m + 44 - 214, 0 = -5*p + 2*m + 65 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13093887 to the nearest integer?\nAnswer: 3619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 19. What is w(9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + 154\/28. Let y(w) = -w**3 - 9*w**2 - w + 6. Let g = 41 + -50. Let a be y(g). Solve 2*o - 12 = -2*o - i, -5*i = -x*o + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**5 + 2*f**4 + 290932*f**3 + f**2 + 1670585*f?\nAnswer: 300*f**2 + 48*f + 1745592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Let d(s) = 4*s**2 + 0*s - p*s + 4*s - 3*s**2. Let w be d(1). Is 2\/7 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6803.076cm?\nAnswer: 68030760","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3050 + 3050.2. Which is the closest to -1\/2? (a) -42\/11 (b) q (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8395 = 133*t - 3575. What is the remainder when 92 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/60 - 7*y**3\/6 + 5*y**2\/2 - 5*y. Let f(c) be the first derivative of d(c). What is the first derivative of f(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**14*o**(2\/7))\/(o\/(o**(-6)*o*o))**(-2\/5) assuming o is positive.\nAnswer: o**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1721 - 360. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7021 from 0.08.\nAnswer: -7020.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*j + 120*j = 15. Suppose 1324 = 4*p - 9*s + 5*s, -j*p + 1619 = 4*s. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3107, -231, 69 in decreasing order.\nAnswer: 69, -231, -3107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -38. Is l\/(3 - 1838\/614) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12180, 12133, 12086, 12039, 11992, 11945?\nAnswer: 11898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47182143.\nAnswer: 3, 163, 96487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - 1 + 218939*t**3 - 109445*t**3 + 6*t - 109465*t**3 in the form o*t**3 + c + a*t**2 + h*t and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 4907827*t**2.\nAnswer: -4907827*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-11 - (-16 + -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34226 divided by 109?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421061889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(66)*4)\/(sqrt(54)\/(sqrt(9)*4)))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:07 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.398 - 32.4134528?\nAnswer: -32.0154528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1 - -1)\/((-3)\/3). Let s be (-5)\/(-12)*(-9)\/(-3). What is the closest to t in s, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 1. Let a(p) = -7*p**2 + 2*p - 10. Give a(c) - 6*m(c).\nAnswer: -c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0 + 0*w + 1\/4*w**4 - 2*w**2 - 1\/3*w**3. Suppose 131 = -25*j + 6. Let l(s) = -7*s + 2. Calculate j*t(d) - 4*l(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.53 + 27.2. Let f = 10.65 - y. What is f rounded to 1 decimal place?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/((-6)\/15)*1403\/(-732)*-12.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -78*m**2 + 5*m - 10. Let n(i) = 2. Let y(c) = h(c) + 6*n(c). What is the second derivative of y(q) wrt q?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 12 = -h. Suppose -8 = -0*t - 4*t. Suppose 5 = -f + t*f. What is the remainder when h is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3177 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1452)\/90 - 14\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - -5*(5 + -3). Solve -4*x - 5*l = -28, 0*x + 5*l - g = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/2 (b) -45 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 601315073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 771 + 0*i + 3*i - 5*i - 783 to d*i + v and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 39*k**2 + 17*k**2 + 52*k + 2 - 34*k**2.\nAnswer: -4*(k - 1)*(14*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6 + 2 + 2 - 2 + 0 + 1 - 2 + (-2 + 0 + 0)*(-1 + 0 + 2))*(33*m**3 - 42*m**3 - 1 + 0)*(-3*m + 2*m + 0*m).\nAnswer: -18*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1, -0.5, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -2\/229 (c) 2 (d) -2.33 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -115. Let r = b + -23.3. Let c = -4 + 6. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8984 = 3*d - 4*u, 6*d = 3*d + 3*u + 8979. Let v = d + -1206. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 6. Let i = 8 - 5. Suppose 3 = -3*t + 3*d + 18, -i*t - 2*d = 0. Let m = t - 6. Calculate b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/44)\/(120\/1068) - (-64)\/(-80).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/((-2)\/(-6)). Let u = 0.1 - -0.1. What is the nearest to x in -1\/5, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4894224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r + 7. Let n(d) = -3*d + 2. Let o(f) = -15*f + 9. Let y(g) = -24*n(g) + 5*o(g). Determine -2*k(l) - 5*y(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**5 + 2506*x**4\/3 - 86236*x**3\/3 - 69160*x**2\/3 + 19600*x\/3 = 0.\nAnswer: -1, 0, 2\/9, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1 (c) -0.069 (d) -3\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1007.651 - -1012.7. Let b = 5 - m. Let j = 0.921 - b. Round j to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 949449, 949446, 949443?\n\"Answer: -3*l + 949452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -713, -1226, -1723, -2198, -2645, -3058?\n\"Answer: w**3 + 2*w**2 - 526*w - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 2. Let d be g(4). Is (1688\/12)\/(d\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/5, 1, -0.3, 312.91?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18005 and 5202060?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*s - 31, 394 = s - 0*s + 9*y + 159 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 + 19*m + 66. Let v be d(12). Let g(x) = 8*x**2 - 8*x + 5. Let y(z) = -9*z**2 + 9*z - 6. What is v*y(o) + 7*g(o)?\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:33 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*u**3 + 84*c**3 - 80*c*u**3 - c*u**2 wrt u?\nAnswer: 6*c**3 - 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11271*y + 250. Is c(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence devd when four letters picked without replacement from eleddvddjddedee?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -179. Suppose -z = -5*b - 24. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -219\/2 + 110. Let s be (-1)\/(-4) + (-10)\/(-8). Let u = -0.2 - -0.6. What is the smallest value in b, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eweessetwesetx. Give prob of picking 1 e and 1 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 + 11*f**2\/2 + 38*f + 10. Is o(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401670\/1457 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208874389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - g)*(0 + 4 - 3)*(-3 + g + 3).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -715, -1428, -2129, -2812, -3471, -4100, -4693?\n\"Answer: s**3 - 720*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2520 and 53\/700.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 + 7. Let i(m) = 4*m**2 + 4. Let d(g) = -10*i(g) + 4*v(g). Find the first derivative of d(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4621 - 1)*(-14)\/28. Let w(y) = -2311*y + 6*y**2 + t*y. Let d(z) = -5*z**2. Calculate -4*d(a) - 3*w(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136, 138, 144, 154, 168?\n\"Answer: 2*o**2 - 4*o + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60499667 and 4085?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 13. Let d(u) = 11*u - 27. Let o(s) = 4*d(s) + 9*h(s). Calculate o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 + 3*p**2 - 3*p + 6. Let g be w(5). Solve -f = i - 1 + 2, 3*f + g*i = -7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1519 + -791. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejkkejkkekkkejkkkkg. What is prob of picking 1 g and 2 e?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 10671958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 9. Let b be s(0). Let k(a) be the third derivative of a**4\/24 - 10*a**3\/3 - 9*a**2. What is k(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1928 and 119519130.\nAnswer: 478076520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*b + b**2 + 70*b + 36*b + 95*b.\nAnswer: b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 28, 1, -1, -1.21, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14156506 (base 7) in base 15?\nAnswer: 1b2a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 3*v**2 + 8*v**2 + 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(((-78)\/26)\/((324\/6)\/(-3))*4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 2*f + 4, -16*k + 2*f = -19*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3 = 2*o, o - 3*j + j = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**2 + 10*l**3 - 2*l**2 - 41*l + 39*l. Let j(i) = 41*i**3 - 9*i**2 - 7*i. Let d(c) = 4*j(c) - 18*k(c). Find the second derivative of d(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 1, z: 2, a: 1}. Give prob of sequence az.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 141 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5 = 5*q, 0*o - o = -3*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 + 28910*f**2 - 56525*f - 7369500 = 0 for f.\nAnswer: -15, 17, 5780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, -26, 0 in descending order.\nAnswer: 0, -6, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-13)\/6. Let t = -713 - -174. Let d = t - -543. What is the nearest to -1\/4 in d, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2889 > -2925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b**2)*(4 - 4 + 2*b) + 45*b**3 + 9*b**3 + 12*b**3 + ((-4*b**3 + 3*b**3 + 0*b**3)*(3 + 1 - 2) + b**3 + 3 - 3)*(5 - 5 + 4).\nAnswer: 66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 7 - (1 - 1) - 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/17))**39 assuming g is positive.\nAnswer: g**(585\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4934056\/7 or -704865?\nAnswer: -4934056\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.41, -3, 13\/2, -2, 0.\nAnswer: -3, -2, 0, 0.41, 1\/2, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) + -62*(-3)\/(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647263 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29881 is divided by 7456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*v + 2*d - 93, 2*v = 2*d + 40. Suppose 0 = 4*y - 31 + v. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 + -4 - (6 + -11) - -1 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 9442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -116339 > -116388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0017064 millennia?\nAnswer: 1.7064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**5 - p**4 + p**2 + p. Let u(m) = -8*m**5 + 10*m**4 - m**3 - 10*m**2 - 9*m. Let g(y) = -18*j(y) - 2*u(y). Factor g(h).\nAnswer: -2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*d + 13. Let s(h) = 22*h + 981. Calculate the remainder when s(-36) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c + 3*a + 18 = 63*c, -3*a = -12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -1 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/((-60)\/25)*1. Let d(z) = -2*z**2 + z - 10. Let k(t) = t**2 - t + 1. Let w(q) = d(q) + 4*k(q). Determine w(c).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/7 + -5\/28. What is the nearest to j in -2, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10589 = 164*u - 399. Solve -u*a + 80*a - 91 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/(-344))\/((-6)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -37. Let j = 156 + b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1296*f - 16341.\nAnswer: -3*(f + 13)*(f + 419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11126 and 33378.\nAnswer: 33378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.273 + 1?\nAnswer: 34.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -10, 2\/7, -5, -390 in decreasing order.\nAnswer: 5, 0.5, 2\/7, -5, -10, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.303 in 1\/3, 0.22, -4, -16\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - t**2 + 2*t - 3 + 0*t**2 - 1288*t**3 + 1288*t**3 in the form o*t**4 + l*t**2 + w*t + m + i*t**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -102 (c) -3 (d) 2 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -570*q**2 + 568*q**2 - 995*q + 14 + 983*q + 2*q**3. Calculate x(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/9*-3*-3. Let n = t + 23. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - 0 - 2830\/(-225). Let q(v) be the first derivative of 28*v**4 + 13\/2*v**2 - 1 - 20*v**3 - b*v**5 - v. Factor q(s).\nAnswer: -(s - 1)*(4*s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 * -7.\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4140537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23394?\nAnswer: 2, 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2658*m**3 - 2*m**2 + 8 - 2660*m**3 + 4*m + 2*m - 2*m. Let l(r) = -r**3 - 7*r**2 - 7*r - 3. What is the remainder when v(0) is divided by l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3059 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -39. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1137 take away -2910?\nAnswer: 2909.8863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 295361673 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrqqqrrqq. What is prob of sequence rrrq?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 5:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 2*b**3 - 2*b**3 - 2 as r + w*b + f*b**2 + z*b**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a**2 - a)*(20877*a**2 - 592737 + 592737).\nAnswer: -41754*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 1936?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.81 + 58.31. Let j = 0.3 - 0.4. Let c be 108\/(-238) + (-12)\/(-21). Put x, j, c in ascending order.\nAnswer: j, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 2)\/(2\/(-6)). Suppose -4*c + n = -2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32bab (base 13) to base 10.\nAnswer: -92077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06172 * 0.5.\nAnswer: -0.03086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25792 divided by -403.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 7, -29, 13 in increasing order.\nAnswer: -37, -29, 0, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4936858376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -406*d + 417*d. Let a(t) = -5*t - 6. Let l(c) = 9*c + 12. Calculate d*l(n) - 7*a(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/3563 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -84?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34064 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -535 and -1020673?\nAnswer: 546060055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1828*o**2 - 15819*o wrt o.\nAnswer: -3656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**2 + 0*l**3 + 0*l + 1\/4*l**4 + 7. Let n(o) be the second derivative of j(o). Let s(k) = k. What is 3*n(u) - 21*s(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35660 divided by -5\nAnswer: -7132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 1. Let j be b(1). Suppose -z = -j*d + 33, 3*d - 17 = -3*z - 2*z. Is (-21)\/d - -1 - (-574)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 627558*v\/7 - 5647860\/7.\nAnswer: -2*(v + 9)*(v + 313770)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -162*a - 934. What is the remainder when 122 is divided by s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/353 or 0?\nAnswer: -36\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.76896 + -0.5?\nAnswer: -5.26896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26)\/65 + 2157\/5 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + (2 - 2). Let d be 14\/10 + (-6)\/4. Let n = 7\/10 + d. What is the closest to n in 4, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -753.2 + 740.98. Put -0.3, -4, j in decreasing order.\nAnswer: -0.3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 353 = -3. Let t = 189 - u. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.987 + -0.013. Let s = -23 - i. Let u = 12697.5 + -12697. Sort u, -5, s in descending order.\nAnswer: s, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 15) to base 16.\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47129 or 47128?\nAnswer: 47129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(24)\/(sqrt(12) + sqrt(24)\/sqrt(2)) - (sqrt(100)\/(sqrt(2) + sqrt(128)))**2.\nAnswer: sqrt(2)\/2 + 274\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, i: 4, c: 1, u: 4, o: 2}. What is prob of sequence uh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2668, -3\/8, 5, -4, 441, 0 in ascending order.\nAnswer: -2668, -4, -3\/8, 0, 5, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17723544 is divided by 1667.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2534\/9935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -8725, 4 in descending order.\nAnswer: 40, 4, -8725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3\/4, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/200 and -47\/1759400.\nAnswer: 1759400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8450.431km in centimeters?\nAnswer: 845043100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 plus -151750237013?\nAnswer: -151750237008.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406 is divided by 599?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.18895g?\nAnswer: 188.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 7306 + (-126)\/35*(-50)\/30?\nAnswer: 80432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -1, 1\/12, -3.9 in decreasing order.\nAnswer: 11, 5, 1\/12, -1, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 4\/7 (c) -21\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n + 1. Let x be y(-1). Suppose -126*b + 98 = -73 - 81. Find the second derivative of 9 - x*d**2 - 7 - b - 3*d wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -667 - -1883. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, -0.5, 2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 19*l + 16 = -15*l, -3*t + 2*l = -14. Suppose 3*p + 0*p = 6. Solve 0 = t*u + p - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 3 (c) 0.03 (d) -1 (e) 6417\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 786 and 5906.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15*-122.378\nAnswer: -1835.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + 2)*16\/2. Let l(g) = g**2 + 4*g - 14. Let j be l(-7). Calculate the highest common divisor of t and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 435 + 240. Suppose 5*a - 4*c - 3346 = 0, 0*a = -a - 5*c + x. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q. Let i = -23 + 13. Let b(v) = 2*v. Give i*b(c) + 6*l(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 12 = 0. Let k(b) = -b**2 + 10*b + 2. Let u be k(10). Solve -u - 10 = -j*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2478852*o**3 + 464921*o**2 wrt o.\nAnswer: -14873112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 + 465257*q**2 - 3463428938837*q\/8 + 3463421494729\/4.\nAnswer: -(q - 1861027)**2*(q - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 + u + 57. What is the least common multiple of t(-9) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 31 = u, 3*u = -252*j + 257*j + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:46 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 22 - (69 + -74).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1101000110111 (base 2) to base 15\nAnswer: 1ec6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0131452795 to 6 decimal places.\nAnswer: -0.013145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + -48. Let t = 68 + k. Suppose -3*q - 331 = -d, 2*q + 662 = 2*d - t*q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*k = -7*d - 5, 0 = -d - 3*k - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13430 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5467 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.169 + -17.1. Let z = a + -0.068824. What is z rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23691.00035679 - -23691. What is m rounded to 6 decimal places?\nAnswer: -0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 1, j: 1, p: 1, b: 3, q: 2}. What is prob of picking 1 p and 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 9}. Give prob of sequence ii.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**4 - 16*c**3*x - c**2*x - 2*c*x - 16*c wrt c?\nAnswer: -24*c**2 - 96*c*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 20*m**2 + 42*m - 46. Calculate r(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 359.6221ml?\nAnswer: 0.3596221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose t + 3*p = -1, -3*p - 8 = p. Let d(y) = y**3 - 3*y**2 + y. Let m be d(4). Solve 0*g - 5 = k*a - t*g, a = -5*g + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1544, 1688, 1832, 1976, 2120, 2264?\n\"Answer: 144*p + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + 90*s + 124. Let y be g(-9). Suppose 190 = 5*v - 25. Is y < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from {a: 3, d: 1, w: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4014 - 4000. Let b(q) = 14*q + 2. Let z(y) = -43*y - 7. Determine c*b(j) + 4*z(j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:51 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/3 + 4366*j**2\/3 + 216425*j\/3 + 2697500\/3 = 0. Calculate j.\nAnswer: -4316, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-81)\/(-12) + 1\/4. Suppose o = -3*m + 31. Let k = 14 - m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + (136 - -33) + -49?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let j(f) = -5 + 0*f + 5 - 2*f. What is t(j(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4509*i - 1330*i = 104907 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 2 = 3*v. Suppose 6*k = v - 1. Solve -2*l + 3 = -5*y, l = -k*y - 3*l + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**2. Let g(c) be the first derivative of c**3\/3 - 2. Determine m(g(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1107 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.809971 plus -1?\nAnswer: -3.809971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 373 - 189 - 184. Let l be d(2). Suppose 5*j = y + 12185, 0*j + l*y = j - 2437. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 452352 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685531?\nAnswer: 7, 11, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*1*-5*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/2 - (-3 + 1). Let i be (-1161)\/(-33) + (-2)\/j. Let x = i - -26. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*y - 145 = -75 - 66, 5*y - 56 = 9*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 32*a**2 + 4*a - 9. Let p(l) = 16*l**3 - 161*l**2 - 22*l + 48. Give 2*p(s) + 11*x(s).\nAnswer: -s**3 + 30*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b + 5*h + 121 = 0, h + 188 = 3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 = -h + 3*n, -2*n = -8. Solve h = -r - 2*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three quarters of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143693 = 27*v - 38*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bct when three letters picked without replacement from tpmcybpc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(4468*c - 4463*c - 1172 - 3545 + 214) to i + b*c and give i.\nAnswer: -9006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2.0453.\nAnswer: 1.02265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + 7 + 3 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 12\/13, 1\/6, -40.8 in decreasing order.\nAnswer: 12\/13, 1\/5, 1\/6, -40.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 12*x + 33 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*(p\/(p*p*p*p**13\/p))\/p*p*((p\/((p*p\/((p*p\/(p**(7\/5)*p))\/p))\/p*p*p)*p)\/p)\/p*p*p**(1\/22)\/p**(8\/3) assuming p is positive.\nAnswer: p**(-5947\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 118 = -2. Suppose 8*d - k = 4*d. Solve 0 = c - d*f - 29, 2*f = 3*c - 2*f - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984007398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/56 and -77\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414465 by -5.\nAnswer: -282893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - c**2 + 3*c - 4. Let a(b) = b**2 + 1. Calculate -a(k) - y(k).\nAnswer: -2*k**3 - 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611432 is divided by 183?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 - (4 + -1)) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 - -1852. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*(-180)\/1620?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c + 8*c + 3*k + 6, 4*c - 10 = 3*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 140 = -19*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*2*sqrt(171) + -4)*4)**2*3 + 1.\nAnswer: 13824*sqrt(19) + 1182721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaacjca. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 41 - 199 = 0. Suppose 4*f - f - s = 0. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*x**3 + 4*x**2 - 9*x wrt x?\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 38 = 3*r - 26, -5*b + r + 14 = 0. Solve 11*u + b = 14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 5*r**2 + 4*r**2 + (0*r + 2*r - 3*r)*(6*r - r - 3*r) + (r**2 - 4*r**2 + r**2)*(-617 - 429 + 125) in the form d*r + j + k*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5321 and 47939443.\nAnswer: 47939444.5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-102)\/16*1\/(-6) and (-303)\/308 - ((-19)\/(-2090))\/(11\/(-110)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x + 280*x + 88*x**2 - x**3 + 6*x**3 + 220 - 20*x - 13*x**2.\nAnswer: 5*(x + 2)**2*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 3*s**2 + 2*s + 2. Let x be t(-3). Suppose 3*l - 9 = 6. Which is the closest to -1\/2? (a) l (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303132343 (base 5) in base 16?\nAnswer: 6c15d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*n - 19528*n**5 + 0*n**2 + 319*n + 16754*n**5 - 2*n**2 + 719*n wrt n?\nAnswer: -166440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:45 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n + 1. Let d be r(9). Let b be (d\/1)\/(-8) - 102\/(-48). Solve -s = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 23. Let y(k) = -k. What is w(i) - 2*y(i)?\nAnswer: -3*i + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-4*x - 14*x - 64*x)*(18*x + 2 - 21*x - 27*x).\nAnswer: -4920*x**2 + 328*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6557*n**5 + 13485*n**5 - 6496*n**5 + (0*n - 3*n - 2*n)*(-2*n - 2*n**4 + 2*n).\nAnswer: 442*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 3*g - 73, 0 = -2*a + 4*g + 44. Let d be a\/12*(-1 - 2). Put d, -0.4, 1\/2 in descending order.\nAnswer: 1\/2, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let h(f) be the second derivative of 3*f + 0 + 0*f**2 + 0*f**3 - 1\/12*f**4. Determine o(h(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhxxhhhhhhhhhhhh. Give prob of picking 3 x.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 335*u**2 - 8248*u - 155. What is z(75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.025 in 0.1, 4\/11, 1.65, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - t - 2. Let v(f) = -8*f**2 - 3*f - 6. Let c(q) = -3*b(q) + v(q). Let x(m) = -16*m. Calculate c(x(w)).\nAnswer: -1280*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 164*l - 988. Let g be k(6). Let h(s) = -s**2 - 4*s - 7. Let m(i) = -1. Determine g*m(f) + h(f).\nAnswer: -f**2 - 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaxvxxttvvxt. Give prob of sequence xx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.7 + 14. Suppose -5 = 2*x - 9. Which is the second biggest value? (a) v (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/7 (c) 11072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912 = -8*j - 68*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -6?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from pfuupwuwwuwjwjfjw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*s - 95, -s = 5*m - m + 6. Calculate the remainder when 41 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - h + 1 + (1 - 5 + 3)*(436*h - 40678 + 2939*h + 40674)*(3 + 3 - 4) + 0 + 2*h + 0 in the form n*h + s and give n.\nAnswer: -6749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10337*x + 134656. What is k(-13)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1016)\/1143 + (-1 - 17\/(-9)). Factor p + 2\/5*a**2 + a**3 + 0*a + 3\/5*a**4.\nAnswer: a**2*(a + 1)*(3*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 17*n**2 + 10*n - 7. Let y be x(9). Calculate the highest common divisor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4931 - (0 - 1)) + (3 - -2) + -4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 104332031210?\nAnswer: -104332031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/650*10\/6*-5*(-1)\/111?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -7*k**3\/3 + 29*k**2 + 3*k - 39. What is the second derivative of i(l) wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_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 -2010 + 156854?\nAnswer: 154844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 3*c**3 + c**3 + (0 + 0 - 3)*(-3*c - 2*c**3 + 3*c) - 2*c**3 + 0*c**3 - 2*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 24.4 (c) 0.1 (d) 7 (e) 1\/6 (f) 5\/4 (g) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147583464*f - 280791693?\nAnswer: -147583464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1 - 4*z - 3*z + 4*z. Let u be n(-1). Let y(w) = 1 - 4*w**2 + u*w - w + 3*w**2. Calculate y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81.9 or -0.02?\nAnswer: -81.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 346*q**3 - 8*q - 345*q**3 + 12*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3578.\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 2024*l - 16287. Give r(-8).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 9*p**2 + 15*p - 15. Let z be k(10). What is the highest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 69.2 and -0.67.\nAnswer: 68.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 26\/(-4) - 18\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h + 9. Let v be (-1)\/4 - 156\/16. Let t be x(v). Let r = 12 + t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/144*(-4 - 0)*(1 + -3). Solve 4*h + x*r = 10, 2*r - 4 = -9*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 z when three letters picked without replacement from {z: 2, p: 7, n: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-278 + 0 + 3). Suppose -2*l + 8*d = 4*d - s, 4*l = -4*d + 588. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 - 181*g**3 + 3898*g**2 + 195160*g + 1448832 = 0.\nAnswer: -196, -16, -11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53734.04 + -52750. What is m rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000026 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 735563*g**2 - 423381.\nAnswer: 1471126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*4\/6)\/(-2). Let b be (h - 1) + (-16)\/(-5). Determine v so that 1\/5*v**3 - b*v**2 + 1\/5 - 1\/5*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d + 5*d - 3*d + 2*d + 2*d + (-3*d + d + 3*d)*(2 - 1 - 3))*(-d**3 + 2*d - 2*d).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 4.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -3, -2, 49, -1121.\nAnswer: -1121, -12, -3, -2, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f + f - u, 2*f - 5*u - 15 = 0. Solve -5*h - f*n = -4*h + 25, -5*n - 15 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151175, 0, -10, -2 in decreasing order.\nAnswer: 151175, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17466809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -n + 108, -24 = -2*v - 5*n + 10. Suppose 5*h + 5*k = 40, -4*h + 4 + 33 = -k. Calculate the remainder when v is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8588 and 21014?\nAnswer: 4749164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + 2*sqrt(5808) + 0 + 0 + sqrt(5808) - (-4 + 5*(sqrt(5808) + -2 + sqrt(5808)))))**2.\nAnswer: -221760*sqrt(3) + 10248912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) + 1)*-1 - (sqrt(475) + -2*sqrt(475) + -5))*5)**2*3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20445635 (base 7) in base 3?\nAnswer: -10020200120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:31 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94119121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 13 = -2*t. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -97170125?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1)**2 + 5.\nAnswer: 12*sqrt(11) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -789.79 + 20.79. Which is the third biggest value? (a) i (b) -2\/7 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.95 + 0.45. Let l = 2 - 4. Let x be (-28)\/4 + 5 + 5\/3. Put l, x, d in descending order.\nAnswer: x, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(891) + 2)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -49, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1033025572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157924194.\nAnswer: 2, 3, 26320699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*b + 15 = 0, -a - 4*b - 137 + 152 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1155402 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3287 = 25*w - 638. Suppose 0 = f - 4*j - w, 3*f = 2*j + 161 + 270. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(-30*w - 36*w - 67*w - 31*w)*(-3 + 3 + 1) in the form m*w + z and give m.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*i + 29211 = -13377 for i.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1082*w = -1086*w + 13, 4*g - 2*w + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-10))\/(5\/60). Let j be 36*((-336)\/(-54) - g). Solve -b + l = -4 + 3, 2*b + l = j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -5 (c) -12 (d) -506 (e) -0.4 (f) 0.4 (g) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:52 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3750 and 2550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l*n**6 + 11*l + 5*n**6 + 3*n**2 + 3 wrt n.\nAnswer: -1200*l*n**3 + 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.108174521 to three decimal places.\nAnswer: -1.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 14) to base 4\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 234 = -13*r. Let b be (-25)\/(-6) - 13\/r. Is -1 + (b - -125)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1.4 (c) 1 (d) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9743256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13280 and 83498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.18403 meters?\nAnswer: 218.403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/2))\/((-48)\/40)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 921*i + 18*i**2 - 2*i**5 - 680*i + 0*i**2 + 3872*i wrt i.\nAnswer: -40*i**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -20*g**2 + 17*g. Let y(o) = 7*o**2 - 6*o. Let x(m) = -6*t(m) - 17*y(m). Let u(a) be the second derivative of -a**3 + 8*a. Give u(x(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.64016184 rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181100 is divided by 611?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 864. Suppose -9*m + h = -5*m. Let d = -85 + m. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/31, 0.02255, -5\/2, -0.5?\nAnswer: 0.02255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 46\/11, -45\/7, 9\/8?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and 31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91)*2*-1))))\/((sqrt(7) + sqrt(7)*-1)*-1 + sqrt(42)\/(sqrt(24)\/sqrt(4))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458 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: Which is smaller: -664.353 or 0.21?\nAnswer: -664.353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l + 4*l - 2*l + 75*l**2 - 22*l - 2*l.\nAnswer: 75*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 8, v: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1612347238135\/338 - -4770249874. Let y = 8227 + b. Calculate the common denominator of -21 and y.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -23. Calculate the remainder when 51 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 25*q + 48. Let a be t(22). Calculate the smallest common multiple of (-9)\/((351\/a)\/13) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965373 is divided by 273.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/21 + s**4\/3 - 5*s**2\/2 + 2*s. Let o(v) be the first derivative of z(v). Find the second derivative of o(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, t: 10}. What is prob of picking 3 l and 1 t?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -32. Let a = -246 + 373. Suppose y = 6*p - a. Calculate the smallest common multiple of 9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1230211237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -221781, 1, 0, -1, 4.\nAnswer: -221781, -4, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 188\/141769 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 4)*(0 - 2 + 3)*((-6 + 6 + 9)*(4 - 4 + h) - 4*h + 0*h + 3*h).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -745.\nAnswer: 372.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 625858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 884213 divided by -1\nAnswer: -884213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n**2. Let t(s) be the second derivative of -11*s**3\/6 - 12*s. Determine a(t(b)).\nAnswer: 1694*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3253*z - 3366*z + 3390 = 0 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 18*a - 92. Let b(y) = -y**2 - 18*y + 92. Let m be b(a). Solve -4*f - 28 = 5*g, -m*g - 29 = 4*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 2*sqrt(1300)*1)\/(sqrt(4) + 2*sqrt(400) + sqrt(20)\/sqrt(45)).\nAnswer: 45*sqrt(13)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 160*i + 55*i + 204 + 1176 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*h**3 - 27*b**3*h + 4*b**3 + 10041*b**2*h**5 + b**2*h + b wrt h?\nAnswer: 6*b**3*h + 200820*b**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - 45\/(-10). Suppose j*x + 2*t - 20958 = 0, -5*x - t - 2*t + 26196 = 0. Let r be (x\/(-9) - 1)*-72. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(306))\/sqrt(9))\/sqrt(2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70920277*j**3 - 2409850*j**2 - 6 wrt j?\nAnswer: -425521662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.394 less than -82.42093?\nAnswer: -80.02693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-10)\/4). Which is the closest to 2\/5? (a) -2 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6493 - 866992295.\nAnswer: -866998788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11 - 10 + 31*l as h + g*l and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -104. Suppose q*c = 8 + 18. Solve 7 + c = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 9 + -1 - -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1878*h - 3249*h - 1781*h + 456*h.\nAnswer: -6452*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7746694519 + -7746694375.00000948. Let p = -144 + r. What is p rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k - 19. Let g(r) = -9*r - 111. Let x be g(-12). Is 8 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, -136, -327, -516, -703, -888, -1071?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-4*x - 7*x + x + (-2 - 1 + 2)*(0*x + 0*x + x)) to k*x + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883749 is divided by 611.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193, 389, 585, 781, 977?\n\"Answer: 196*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 179\/2*w**2 + 0*w**3 + 0 - 240*w - 115\/6*w**4. Differentiate n(k) with respect to k.\nAnswer: -460*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*148\/(-16)*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1))\/(5\/60). Let l = u + -11. Let i be (-5 - 0)*-1*12\/30. What is the highest common factor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-18) + 3\/27. Solve g = -4*d + 3*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/315 and -32\/21353409?\nAnswer: 106767045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 1, i: 1, k: 1, o: 3, y: 8}. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2995198 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*21\/7*(-134)\/(-6)?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*p - 8, 0*d + 2*d + p = 9. Factor r**2 + d*r - 2*r**4 - 2 - 3*r**3 + 2*r - 4*r + 3*r**4.\nAnswer: (r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 76 = 2*m, 184*r - 40 = 182*r + 4*m. Suppose 15 = -z + 2*z - 2*w, -2*z = 4*w + 2. What is the smallest common multiple of z and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22675307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2. Let h = -11980 - -11979. Let m(a) = -7*a**3 + 3*a**2 + 2*a - 2. Determine h*m(n) + 6*y(n).\nAnswer: n**3 + 3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {g: 1, d: 1, y: 1, w: 1, o: 1, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/19))*h)**(5\/6)*h**6*h**(1\/3)*h assuming h is positive.\nAnswer: h**(941\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -255.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 9 - 8 - 212*t**3 - 7*t + 3 + 129*t**3 to the form z*t + y*t**3 + u*t**2 + o and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21433 (base 8) to base 2\nAnswer: -10001100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 113*i - 1064. What is z(-122)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12a7 (base 12) to base 3\nAnswer: 2221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + (-2)\/(2 - 6). Which is smaller: 86\/61 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35639936.\nAnswer: 2, 278437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1538*f**2*z**3 - f*z**3 + 74*f*z**2 - z**3 wrt f?\nAnswer: -3076*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - -10. Let k = 144 - t. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13222300120 (base 5) to base 7.\nAnswer: -261060500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/42976560 and 107\/134904.\nAnswer: 300835920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -718 - -721.37. Let i = a - 0.37. Is i at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q = -81*q + 3*v - 11, v + 5 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-4))\/((-12)\/(-32)). Suppose 4*j - 30 = f. What is the least common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 4*j + 309. Let r be j\/5 + (-10)\/25. Find the common denominator of 278\/(-16)*28\/r and -107\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 47. Suppose -3*g = -2*k + 2, g = -0*k + 5*k - 31. Solve -a + k = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -304 and 2.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182571133.999431 + 182571058. Let c = l - -76. Round c to 5 decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10780 and 19404?\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/30 - l**4\/12 - l**3\/2 + 3*l**2. Let v = -5 + 3. Let a be (-1 + v)*2\/3. Calculate x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 7*r - 5*t + 74, -2*t = -r + 10. Calculate the lowest common multiple of r and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 58.031. Let l = -0.03100046 - f. Round l to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056856493 to the power of 1\/2, to the nearest integer?\nAnswer: 32509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2)\/((-14)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606114339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 - 3 = 3*q. Suppose -45 = -4*v + q. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1238 (b) -9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4 in decreasing order.\nAnswer: 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.052 - 27.07. Let v = -0.018 - n. What is the nearest to -2\/5 in v, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1488, 3216, 5352, 8058, 11496, 15828, 21216, 27822?\nAnswer: 35808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*f**3 + 337*f**3 + 0*f**3.\nAnswer: 1007*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10196 + 10234. Solve a*x = -38 - 76 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 6:32 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 704*n**3\/5 - 6168*n**2\/5 + 2214*n\/5 = 0.\nAnswer: 0, 3\/8, 369\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -443?\nAnswer: -444.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.4 (c) 8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1. Let j be (579\/(-1930))\/((-2)\/(-20)). Let h(c) = 3*c**3 - c - 1. Calculate j*z(u) - 3*h(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19\/(190\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + -90 + 70 + 10 + -14.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/462 and -3\/3270542?\nAnswer: 68681382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/14)\/((-3)\/(-21)). Let h(a) = a**3 - 5*a**2 - 3*a - 8. Let u be h(l). Suppose -35 = -5*b - u. Calculate the highest common divisor of b and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.3, -36, -5, -115?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o + 2*o**2 - 8*o - 8*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679, -1359, -2039, -2719?\nAnswer: -3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from lklte.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 - 71*f + 174. Let b be l(9). Solve -389*d + b = -382*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 + 3426*w**2 - 12328*w**2.\nAnswer: -8902*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87223086 or -87223084?\nAnswer: -87223084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*n = 8, 4*j + 1091*n - 1088*n = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564792 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 76.1046 years?\nAnswer: 0.0761046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/10)\/(j*(j**(3\/13)\/j)\/j))**(2\/47) assuming j is positive.\nAnswer: j**(113\/3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36)*1782\/(-108).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/16)\/(m\/m**12))\/(m**(-4\/7)\/m**(2\/53)) assuming m is positive.\nAnswer: m**(70025\/5936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*r**2 + 289186*r - 144593*r - 5*r**2 - 144593*r.\nAnswer: -307*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1913 (b) 0.3 (c) -1\/3 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**1 assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.1, -0.14, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 10:43 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c)\/(c*c**(-3)) assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, e: 1, r: 1, b: 1}. Give prob of sequence rbu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -41. Suppose -23 = -3*g + r. What is the highest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3436519099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1861408064 - 0.5\nAnswer: -0.6861408064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190) + 1*((sqrt(190) - (sqrt(190) + 1*sqrt(190) + sqrt(190))) + sqrt(190)) + sqrt(190))\/(sqrt(40)*1))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23203011 - -32221?\nAnswer: 23301232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2.88715.\nAnswer: 0.288715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -88*l + 40. Let s(n) = 3*n - 1. What is -20*s(g) - t(g)?\nAnswer: 28*g - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36922*m**5 + 17*m**4 - 26*m**2 + 54507487*m.\nAnswer: -738440*m**3 + 204*m**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7410\/(-60)*(-32)\/208.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**2 - 11792448*k + 82547332 = 0?\nAnswer: -2948119, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f - 111*f - 5 = 0, 4*l - 3*f - 27 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*2\/(-2). Let q be (u + -1 - -2)\/1. Let t = q + 3. What is the lowest common multiple of 8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u + 6 = 170*u - 84*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h**(-1\/6)\/h)\/h)*h**(-6) assuming h is positive.\nAnswer: h**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = 2*k. Suppose 4*g - 2*z = 12, 0*z = -g + k*z + 6. Let i be (0\/(-1 - 0))\/(-2). Sort g, 1, i.\nAnswer: i, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -26. What are the prime factors of 7*((-108)\/b)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 54) + 13 + 42\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*-6\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 46. Suppose -3*z - 6 = 0, -2*z = 3*f + 3*z - s. Let l = f - 5. Solve 2*m - 5*p = -29, -4*p = -l*m - 44 + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 4*i - 32*i**4 - 3*i**3 + 42*i**4 + 4*i**3 as l*i**2 + g + a*i**3 + d*i + n*i**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-18)\/(n**(1\/3)*n)**(-8)*(n**(-6)\/(n**(-1)\/n))\/(n**(-6)\/n**(-3)) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/1 - -2354) + 2. Let f be (-12165)\/o + (-5 - -1). Let y = -164\/59 - f. Find the common denominator of 21\/4 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 2594 + 14346 = -133*i - 18*i for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 - 12*z**3 + 0*z**2 + 11 - 2*z**2 with respect to z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14268.4 - 14268.1. Let j = 6.4 + 81.6. Which is the second smallest value? (a) h (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) + (-68)\/(-12). Suppose -3*n = -0*n - 126. Calculate the highest common factor of l and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6565205836.\nAnswer: 2, 7, 23, 257, 39667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 367 + 109)*(-1827*a**2 + 26*a**3 + 1827*a**2) to j*a**3 + y*a + v*a**2 + h and give j.\nAnswer: 13156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -31*a + 42*a + 64*a. Let f(p) = -p - 3. Calculate f(x(i)).\nAnswer: -75*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30518*g**3*v**3 - g**2*v**2 - 24288*v**3 wrt g?\nAnswer: 183108*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(-3*(sqrt(4) - (sqrt(4)*-1 + sqrt(4)))) + sqrt(76)*-6 + (1*sqrt(171) - sqrt(19)))**2.\nAnswer: 18259\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*y**4 + 417*y**4 + 1250*y**4 + (-2*y - 2*y**3 + 2*y)*(0 + 0 + 2*y) + 17 - 17 - 28*y**4.\nAnswer: 1736*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -157. Is 3 a factor of (-4)\/g - 7792\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (2 - (0 - 0)). Let d = z - -6. Suppose -2*b = -d - 1. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c + 8*c. Solve -s + 4*d = c*d, 2*s + 2*d + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 6:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0, 2, 6, -699, -190 in ascending order.\nAnswer: -699, -190, 0, 1\/8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342258 is divided by 68313?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1257954 by 628977.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mngyppnm. Give prob of sequence ng.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s - 25 = -67*s. Suppose -2*y - 4 = -b, b - 15 = -4*b + s*y. What is the third derivative of -15*w**3 + 4*w**2 - 7*w**2 - 19*w**b wrt w?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 + 3*f + 3. Let v be t(3). Suppose -12 = 11*d - 78. Calculate the greatest common factor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 81*o - 5. Suppose 9*g + 64 = 13*g. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53104 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6\/n)\/((n\/(n**1\/n))\/n))**(-27)*(n\/(n**(2\/3)\/n))**(-48)\/(n*n\/n**(2\/3))**38 assuming n is positive.\nAnswer: n**(-749\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/216)\/((-9)\/12). Which is the closest to 1? (a) z (b) 5 (c) -4 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 221, -14 in increasing order.\nAnswer: -14, -5, -3, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and 1861662?\nAnswer: 109838058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u\/u**3*u)*u*u*u)*u\/(u*u**(-3\/5)))**(30\/11) assuming u is positive.\nAnswer: u**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 43*s - 4*s**2 - 12*s + 3*s**4 - 18*s - 1 + 2*s**3 to p*s**2 + l*s + v*s**3 + z*s**4 + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(-4)\/36 - (1 + 1)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 1976 = -27*r. Is -1 + (r - (-12)\/6) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 227 + -217 + -3 + (9 + -8 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19229799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -3, 14, 3 in ascending order.\nAnswer: -3, 3, 4, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 3915 = -5*a + 3*b, -4*a - 4*b + 3192 = 0. Suppose -15*s = a - 2078. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*a - 916 = 1010 - 10443 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 11*c**6\/24 + c**5\/60 - 365*c**4\/12 + 23*c**2. What is the second derivative of d(g) wrt g?\nAnswer: 330*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -40. Solve x*m - 15 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let k(w) = -4*w + 164. Calculate s(k(p)).\nAnswer: -32*p**2 + 2624*p - 53792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 91. Let v(k) = 4*k**2 - 12*k + 20. What are the prime factors of v(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 621, 1836, 3867, 6720, 10401, 14916, 20271?\n\"Answer: y**3 + 402*y**2 + 2*y + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006459309 to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/((-4)\/16)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/149748 and 55\/92?\nAnswer: 3444204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (3 - 0) - -79. What is the tens digit of -3 + 1\/(2\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v + 2*p - 1, v - 4*p + 9 = 0. Suppose -w - 2 = -v, 2*c + w - 7 = 0. Solve -o - 1 + c = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 480, 987, 1472, 1935?\n\"Answer: -11*t**2 + 540*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.78 and -2.4751 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -26 - (-19 - (-14 - (-15 - -12))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -119716*n**4\/5 + 2277372*n**3\/5 + 2341712*n**2\/5 - 55056*n\/5 + 64 = 0.\nAnswer: -1, 2\/173, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18143708 divided by -38.\nAnswer: -477466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/3 - 1\/6. Let z be ((-629)\/510)\/(-37)*-2*-15. Let s = 3 - 2.6. Which is the nearest to o? (a) s (b) z (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -18. Suppose 0*a + 10 = 5*x + 2*a, 0 = 4*a. Suppose u + 5 = -3*r, u + 2 = -2*r - 1. Sort c, x, u in decreasing order.\nAnswer: x, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1683 - 9571.8317. Let k = 9528.23 + a. Let i = k + 48.9. Round i to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20342653 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3197 + 2.6803. What is the nearest to -1\/3 in m, 0.8, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270042?\nAnswer: 2, 3, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m. Let f be h(0). Let b(x) = -2*x - 2*x + f*x + 3*x. Let d(n) = n. Give b(d(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1396\/(-3)*(-9)\/150 + (-16)\/(-200).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmhm when four letters picked without replacement from {h: 17, m: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 60*v - 62*v - 14, 4*k = 4*v + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*400\/32. Let l(f) = j - 9 + 5*f**2 + 4. Let p(b) = 2*b**2. Calculate l(p(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -54. Suppose m*f = 28 - 10. Factor f*y + y**5 + 13*y**3 - 19*y**3 + y**5 + y**5.\nAnswer: 3*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*6\/1*(-3)\/33*33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 3. What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-1 - -1) + 8 + (-9 - (-1 + -1)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5885, -5885, -5875, -5849, -5801, -5725?\n\"Answer: u**3 - u**2 - 4*u - 5881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7785\/3959 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -5)*(-2)\/(-4). Let v be (1 - (1 + -1))*w. Put v, -1, 2 in decreasing order.\nAnswer: 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 4*z**2 + 2*z**3 - 15*z**3 - 2*z**2 as b + k*z**2 + t*z**3 + l*z and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b + 2*b + 7*b**2 - 2277*b**3 - 4*b**2 + 2260*b**3 + 9. Let v(l) = -2*l**3 + l**2 + 1. Let j(w) = -2*g(w) + 18*v(w). Factor j(h).\nAnswer: -2*h*(h - 4)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*y + 2*y**3 - 55*y - 6*y**3 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q)\/q*q*q*q)**(-1)*q**6*q**(-4\/5) assuming q is positive.\nAnswer: q**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 + -135. Let n be (r - -3) + 0\/2. Suppose 2*a - 2*y + 64 = 4*a, y = 3*a - n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 + 121. Suppose d*m = -4*m + 120. Calculate the least common multiple of m and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 12*s + 2*s)*(-1 + 5*s + 6*s - 12*s).\nAnswer: -17*s**2 - 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*w = 459 + 185 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3)\/(18\/102). Solve 37*a - 20 = w*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 10)\/(-2)*(-32 + 4)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*g + 45. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 28 + 32 = -c, -r + 4*c + 66 = 0. What is the hundreds digit of r\/4*(-2 + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/20 + 2*a**4\/3 - 7*a**3\/6 - 2*a**2 - 4*a. Suppose -2 = -2*g, -3*x - 3*g = -0*g + 366. Let f = x + 130. What is w(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2518021\/6 - -421468. Let u = k - 1806. Find the common denominator of u and -97\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 43 - 127 + 34 + 39 - 9*c. Let f be r(-7). What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22414\/785 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/3 + 1111*l\/3 = 0. What is l?\nAnswer: -1111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.4 - -24. Let v = i + -10.54. What is the third biggest value in v, 9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4648, 4666, 4698, 4744, 4804?\nAnswer: 4878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 77. Put f, -2, 5 in decreasing order.\nAnswer: f, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrrrrrrrrrrrrrrrrr. Give prob of picking 3 r.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 4*q**2 + 2*q + 5. Let u = 28 - 25. Let m be x(u). Solve 0 = 4*p - 2*t + t + 23, -m*p = -t + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 <= 1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.04697 rounded to 1 decimal place?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a + 18. Let x(g) = -9*g + 20. Let v(y) = 6*x(y) - 7*z(y). Calculate v(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697.34 hours in minutes?\nAnswer: 221840.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10170*o + 975. Let k(f) = -10162*f + 955. Let u(g) = -5*b(g) + 4*k(g). Find the first derivative of u(i) wrt i.\nAnswer: 10202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-44)\/8. Let x(j) = -7*j + n*j - 3*j + 8 + 0*j. Let a(v) = 3*v - 7. What is -6*a(d) - 5*x(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10281 != 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13)*r*r)\/(r\/r**(-12)))\/(r\/((r\/(r*r*r\/(r\/(r*r**(-7\/4))*r)))\/r)*r**(-3\/8)) assuming r is positive.\nAnswer: r**(-199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 916 = 1926. Let q = -387 - o. What is the remainder when 75 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvlloovjlovovofv. Give prob of picking 2 o, 1 l, and 1 f.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -181.5. Which is the second smallest value? (a) 3\/8 (b) l (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -211?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - (-204)\/28)\/((-120)\/28) and 95\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633 + -636.545. Round x to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 0*c - 3*c)*(-52*c + 52*c - 14*c**2) to the form f*c + l*c**2 + a + p*c**3 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 16*v + 8. Let g(c) = -c**2 + 16*c + 7. Let q(j) = 4*g(j) - 5*h(j). Let f be q(-6). Suppose -5*n + 7*n = f. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 414456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*x = -7*x + 5, -30 = 3*k - 3*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828 is divided by 125.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -72*k + 806 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 441 - 433. Which is bigger: 10 or g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11047553397.81 and 398.\nAnswer: 11047553795.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489527 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4978504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*f - 24 = -4*y, f = -3. Suppose 6*h - 57 = 3*h + 2*g, y = 4*g. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6653 - 6648. Suppose 0 = 5*h + 5 + 15. Which is the biggest value? (a) 1\/3 (b) i (c) 0.5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100526 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*n + 8*h - 15, -5*n - 9*h = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(6*w**3 - 4*w**3 + 5*w**3) + 58*w**2 - 2*w - 2*w**3 - 31 + 28 + w**3 to the form m*w**3 + p + o*w**2 + q*w and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/1260 - r**6\/360 + r**5\/40 - r**4\/6 + 2*r. Let o(j) be the third derivative of s(j). Does 12 divide o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7950067375 and 2.\nAnswer: -7950067373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*s + 42, -2*a = 189992*s - 189990*s + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -31674\nAnswer: -205\/31674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4.9, -4, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110122110021 - 12?\nAnswer: -1110122110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6114140922 minus 1.17019?\nAnswer: -6114140923.17019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -516*l + 546*l + 330 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127853332.\nAnswer: 2, 137, 181, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408385256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6146 by 4.\nAnswer: 3073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006508177 to five dps.\nAnswer: -0.00651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**27*n)**(-18)\/((n*(n*(n\/(n*n**(4\/5)))\/n)\/n*n)\/n)**(2\/63))**(-9\/2) assuming n is positive.\nAnswer: n**(79376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*r + 114 - 114.\nAnswer: -185*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 60*t + 959. Give l(-17).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 2, o: 1, d: 1}. What is prob of sequence of?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000934 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/5 + 32*c**3\/5 + 92*c**2\/5 - 288*c\/5 + 162\/5 = 0. Calculate c.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.34 (b) -0.3 (c) 2\/15 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16904.04 and 270141086?\nAnswer: 270157990.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x + 7*x + 4*x)*(3*x + 0*x - 2*x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1193*m**2 - 10*m + 10. Let t(c) = -2387*c**2 + 22*c - 22. Determine 11*q(p) + 5*t(p).\nAnswer: 1188*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29950 and 2782355?\nAnswer: 27823550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/u**(-3))\/u*u\/(u**17\/u)*(u*u*u**(-4))\/((u*u**(-5\/2)*u)\/u) assuming u is positive.\nAnswer: u**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 1, e: 3, q: 1, b: 3, v: 1}. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from lrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**2 + 27*x**2 - 119*x**2 + 30*x**2 + 33*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 3031*z + 9094. What is c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1202 + 12083\/10. Find the common denominator of h and -95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16729558 rounded to 3 decimal places?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u - 51. What is x(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-60)\/168*-161).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 - 3*w**2 + 14*w - 3. Suppose i + 2*c + 16 = 0, 266*i + c = 261*i - 53. Let p(v) = -16*v**3 + 10*v**2 - 42*v + 10. Calculate i*r(q) - 3*p(q).\nAnswer: -2*q**3 - 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16827.55 hours to milliseconds.\nAnswer: 60579180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39220424 divided by -1864.\nAnswer: 21041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28594 + 28591. Which is the nearest to 5? (a) 26 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/4 - t**2 + 4*t. Differentiate y(v) with respect to v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -76, -114, -150, -184?\n\"Answer: p**2 - 43*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1. Let m(f) = 40*f - 37*f + 0 + 9. Let h(y) = 8*y + 26. Let u(n) = -4*h(n) + 11*m(n). Give -2*u(t) + 9*x(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + k. Let x be b(-1). Let a(n) = 22*n**2 + 16*n - 8. Let m(h) = -35*h**2 - 24*h + 12. Let d(q) = 8*a(q) + 5*m(q). Give d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33\/2, -0.202017, 2 in increasing order.\nAnswer: -0.202017, 2, 33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghj when three letters picked without replacement from {l: 2, j: 1, g: 1, y: 2, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, n: 1, m: 1, k: 1}. Give prob of picking 1 k and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 561, -7.5, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1058183*l - 3174555. Give a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -26\/7 (b) -0.2 (c) -2\/11 (d) 1.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(6149\/(-33) + 0). Which is smaller: m or -561?\nAnswer: -561","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/3)\/(13\/(-1638)). Let s = -8 + 14. Suppose -s*h + 0*h = -f. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 35443?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 - 671354*q\/3 + 12756448\/3 = 0. Calculate q.\nAnswer: -335696, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y - 4. Let b be m(-10). Suppose 3*d = -3*v + 4*v - 54, -3*v + 3*d + b = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.018\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 - 806 = -12*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*n**2 - 15\/2*n + 12.\nAnswer: 3*(n - 8)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15213346273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -31531667 at least as big as -31531661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 + 180*c**2 + 505*c. What is g(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 8344, 18568, 32836, 51154?\nAnswer: 73528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1039384971*b*t**2 + 4*b*t - 118955855*b wrt t.\nAnswer: -2078769942*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-110)\/7)\/5 - -2. Which is the smallest value? (a) v (b) 2\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 21, -5, 0.0796, 3 in decreasing order.\nAnswer: 21, 3, 0.0796, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 63. Let u(f) = f**3 + 8*f**2 - 9*f + 4. Determine u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 957, 2158, 3851, 6042?\nAnswer: 8737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1581 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7762977940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 109 times 1.47\nAnswer: 160.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37940 or -37939?\nAnswer: -37940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 72*h**2 + 190*h**2 - 20.\nAnswer: 118*h**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1900305660*-0.1.\nAnswer: 190030566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 3*a + 2. Let s(b) = b**2 + b + 1. Determine -c(k) + 2*s(k).\nAnswer: -2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 - 3 + 8)*(12 - 43 - 19).\nAnswer: 100*c - 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -386, -401, -422, -449, -482?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -35*136\/(-238)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)*b**(-3\/2)*b*b**(-1\/4)*b*(b\/(b**(-8)\/b))\/b assuming b is positive.\nAnswer: b**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5190, -10879, -16568?\n\"Answer: -5689*p + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467139507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -66*x + 49. What are the prime factors of r(-5)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(10\/3)*89\/((-73425)\/(-55)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -11*a**3\/6 + 14*a. Let o(r) = -5*r. What is o(h(x))?\nAnswer: 55*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/22)\/(2\/44). Suppose -c*s + 3219 = 25*s. What is the greatest common divisor of s and 783?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(85)\/sqrt(20) + sqrt(17)))**2 + (1 + sqrt(17) + -2 - (sqrt(187)*-1 + sqrt(187))\/sqrt(11)).\nAnswer: sqrt(17) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 25975\/45 - 20\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8047488 + 0.00202.\nAnswer: 8047488.00202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296*j**2 - 54*j**2 - 1354*j**2 to the form q + n*j + v*j**2 and give v.\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1997, -4066, -6135, -8204?\nAnswer: -10273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 15*i**4 - 2196*i**3 + 78576*i**2 + 133200*i - 65712 = 0?\nAnswer: -2, 2\/5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.055 and -0.3.\nAnswer: -1.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450589*w**4 - 388547*w wrt w.\nAnswer: 5407068*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**4\/13 + 8*z**3 + 6*z**2 - 8*z - 72\/13 = 0?\nAnswer: -1, -2\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 6*x**2 + 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 - 178. Let d(i) = i**2 + 14*i - 34. Determine d(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266532167 a multiple of 1837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436\/45 - -49\/5. Sort v, 1, -7, -3.\nAnswer: -7, -3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 7. Solve 0*r + 4*r = 5*i - 23, -5*i = 5*r - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*j + 429*j + 18928 = a, -7 = a. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 83730452.\nAnswer: -83730451.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/50821 or -1?\nAnswer: 1\/50821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q. What is the smallest common multiple of -3 - (q - -2 - 15) and 34\/(136\/60)*(-2)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14027396027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1785 + 366. Let y(b) = b**3 - 7*b**2 + b - 3. Let j be y(7). Suppose 5*h + 2*q = 2087, 3*q = -j*h + t - 487. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*g + 54, 4*g - 34 = 4*i + 86. Sort g, 4, 0.1 in decreasing order.\nAnswer: g, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.34983003 to three decimal places.\nAnswer: 21.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1779799859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4652362 (base 8) to base 12.\nAnswer: -511216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - z - 13. Let d be q(-5). Let t(v) = d*v - 11*v - 7*v - 62*v**2 + 1664*v**2. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/60*1*(-5)\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/(8\/(-12)). Let m be -2*(-7 + 3 + b). Let g = 19 - 22. Put g, 2\/13, m in descending order.\nAnswer: m, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 30*f**2 + f + 1. Calculate the lowest common multiple of 48\/(-4)*4\/(-6) and k(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -5*q**4\/2 + 41*q**2 + 1831*q + 35. What is the derivative of g(d) wrt d?\nAnswer: -30*d**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187672221 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (14 - ((11 - -31) + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59317\/16 - -3712. Find the common denominator of n and 37\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -36 - (-6 - -2) - (0 + -39)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkokttokkkooo. What is prob of sequence tkok?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -23*j**3 - j + 3 - 1 + 6*j**3 + 3*j. What is the remainder when 99 is divided by f(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4647 + -1?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.01 (b) 4 (c) -134\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f + 18098 - 16*f - 36229 + 18131.\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -937970, -1875945, -2813920?\n\"Answer: -937975*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.092 - 0.208. Let z = 764\/3 - 254. Sort -1, z, -5, d.\nAnswer: -5, -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, 0.3, 29404574?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 14. Let p be y(12). Let j = -32 + p. What are the prime factors of (264\/4)\/(j\/(-3))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7256482400 to the nearest one million.\nAnswer: 7256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.7711 + -46.7. Round h to three decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3551, 3962, 4867, 6512, 9143?\nAnswer: 13006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -23 - 45. Let u be (29 - 19)*b\/10*1. Solve 0 = 3*l - u*x - 13, 0 = -2*l + l + 4*x + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4548727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 445 = 130. What is the least common multiple of u and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 2815*y + 330596. Determine w(109).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -716.93861 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:29 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 4. Suppose -3*a = -2*a - h. Let j(z) be the third derivative of z**4\/8 + 2*z**2. Let o(m) = -m. Give a*j(d) + 4*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4830\/(-552))\/((10\/16)\/(-1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(10*n + 16*n - 21*n) - 3 - 2*n + 3.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6*j - 32 = 0. Suppose 0 = 2*s - c - 9, -j = -2*s - c - 1. Let r = 46 - 28. Solve -r = -0*m - 3*m - 3*y, -m + s*y = 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*((sqrt(19) - (sqrt(2299) + (1*sqrt(2299))**2))*4 - (sqrt(475)*2 + 5)))*-1.\nAnswer: 200*sqrt(19) + 36801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80) + 1 + sqrt(80) + sqrt(80))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.022 - -2.222. Sort -385, 3, -5, q in ascending order.\nAnswer: -385, -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111122122001 + 21?\nAnswer: 102111122122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 786 and 99006656.\nAnswer: 297019968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40488846817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165053572 by 4.\nAnswer: 41263393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 32*t - 2520 = 0. Is 9 a factor of (((-33)\/(-4))\/3)\/(7\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 468, 787, 71?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*h + 135464 = 943431 + 3719703. Is 69 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) -0.7 (c) 1.871 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/(-5)*(-180)\/(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 14*u - 4. Let k be m(8). Let z = k + 91. Let a = 92 - z. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z*z\/(z\/(z*z*z**(-6)\/z*z)))\/z)\/z*z)\/z**3*(z**1)**24)**(-2\/7))**(-21\/4) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -38*r - 337. Calculate z(-22).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -96. Let k(i) = 3*i**3 + 0*i**3 - 49 - i**z + 47. What is the units digit of k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*60\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 9*p - 7. Let i be y(-7). Let v(s) = s**2 - 6*s - 6. What is v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 f when four letters picked without replacement from {i: 3, q: 8, f: 3, o: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14905)\/12805 + (-15)\/(-13)?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 683 + 0 + 6\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n - 19*n + 22*n - 32*n in the form c + d*n and give d.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, 0.4, 0.3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -65 + 61. What is the second derivative of -11*l + 6*l**2 + 8*l**2 + 6*l**2 - 17*l**k wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38423, -38461, -38489, -38501, -38491, -38453, -38381, -38269?\n\"Answer: n**3 - n**2 - 42*n - 38381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 + 7*s**3\/6 - 5*s**2\/2 + s. Let x be a(-8). What is the third derivative of 2*j**5 - 2*j**2 + 3*j**2 - x*j**5 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*l - 111*l - 1120. Does 3 divide ((-1)\/(3\/(-6)))\/((-32)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, g: 1, u: 4, z: 1, p: 3}. Give prob of sequence pu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 1 (b) -0.4 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 552 + 426 = 0. Let v = u - 766. What are the prime factors of 4\/14 + v\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nccc when four letters picked without replacement from {c: 7, n: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109096325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 987*k + 14916. Give z(-15).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + 3*j**2 - 3*j**2)*(0 + 1 + 1) + 2*j**4 + 540045*j - 540045*j - 1 - 48*j**2.\nAnswer: 8*j**4 - 48*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:21 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -615 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 20230?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:32 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) -12\/11 (d) 6\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2299) + 2 + -4 - (-2 + sqrt(2299)*3)).\nAnswer: -22*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 6. Calculate h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606 + -536. Suppose -5*c + 905 = y. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - 4*y, 3*y + 0*y = -4*l + 6. Suppose l = 4*z - 5170 - 1002. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let i(w) = -w - 10. Let j be i(0). Let h be y\/2 + 5\/j. What is the closest to h in 0.4, 3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 12*x + 193. Let h be s(16). Let o = -154 - h. Is o >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -225, 584.\nAnswer: -225, 0, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/3 + 6*r**2 - 20*r - 319. Suppose -7*p + 3*p = 60. List the prime factors of a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 3*n = -309, -3*v + 26 = 8445*n - 8446*n for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6 = 4*p, 0 = 6*p - 11*p - 5*m - 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476559?\nAnswer: 3, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 - b + 7. Let m be v(5). Suppose -3*l + 4*l + 97 = -4*s, 5*s - 168 = m*l. Let g = 124 + l. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369*c**2 + 14*c + 2.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l. Let o(u) = -23*u**2. Let r(z) = -6*z**2. Let c(v) = -6*o(v) + 22*r(v). Give f(c(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*f**4 + 33*f**2 + 29*f**4 - 32*f**2 + 16*f + (3*f + f + 0*f)*(-2*f**3 - 1 + 1).\nAnswer: -15*f**4 + f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, l: 5, b: 4}. What is prob of picking 1 w and 1 b?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8262, 33039, 74332, 132141, 206466, 297307, 404664?\nAnswer: 528537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(2057) - sqrt(2057))**2 - (2 + 2*sqrt(2057) + sqrt(2057) + sqrt(2057) - sqrt(2057) - sqrt(2057))**2 - (3 + 0 + 1 + sqrt(2057))**2)*3.\nAnswer: -528*sqrt(17) + 24639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 6*i - 24 + 11*i to n*i + h and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + w + 93. Let x be l(0). Suppose 129 = 3*m - 4*k, -x - 108 = -5*m + 2*k. What is the remainder when m is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2412811485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.645075 years?\nAnswer: 0.00645075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/9))**(29\/3)*(l\/l**(-2)*l)**(1\/16) assuming l is positive.\nAnswer: l**(1303\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19336894547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -220012 (base 4) to base 14\nAnswer: -d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - 1*sqrt(350) - sqrt(1134)*-2)\/(2*sqrt(288)\/sqrt(9)).\nAnswer: 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*716.\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*j - 366 + 221, 20 = -5*j. Calculate the remainder when 277 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430120 and 56360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 + 3*f - 3. Let y(m) = -29*m**2 - 17*m + 17. Let s(h) = h**3 - 8*h**2 + 6*h - 14. Let p be s(8). Determine p*c(x) + 6*y(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2181*g**2 + 249*g - 4700139 wrt g?\nAnswer: 4362*g + 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.18, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2\/3*h**3 + 2*h**2 + 26\/3*h - 10 = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 6*q + q + 11*q - 2*q + 50*q + (1 + 4 - 7)*(-4*q + 0*q + 3*q) + 2*q + q - q.\nAnswer: 65*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 88*m. Let q(c) = -4*c. Give 4*h(p) - 88*q(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Solve 5*b - 4 = -r*j + 6, -2*j = -3*b - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 12:58 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 106\/133 (b) 9\/8 (c) 5 (d) -2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153851 - 153856. Let d be (-34)\/70 - (-2)\/7. Let t = -0.36 + -0.04. Sort d, t, u, 2\/13 in increasing order.\nAnswer: u, t, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:38 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/42 - 3*j**3 - j - 95. Let h(r) = 0. What is r?\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -654545 divided by 34\nAnswer: -654545\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (322\/(-28) - -10)*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03778181 rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.64161 + -0.641575. Let b = -27 - -24. Let k = n + b. Round k to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 1801 = -4881. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -4 + 1 - 0. Sort -2, 2, 6, s.\nAnswer: -2, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 150 (c) -26.79 (d) 4 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356906 = 61*v - 2357394 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*3\/12*-2. Suppose -j + 190 = t*j. Is (1 + -2)\/((-2)\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15515853.\nAnswer: 3, 5171951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 - 6*n - 4. Let l(u) = u**2 + 1. Let t(q) = -6*l(q) - r(q). Let s be t(5). Let x = 23234 - 23255. Is s at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/(-1 - -3). Let x(s) = s**3 + s**2 - s + 13. Let l be x(0). Let q = -13 + l. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 - 10 = 0. Is (-3)\/12 - 237\/p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7020*k**2 - 7020*k**2 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 - -1922\/7. Let o be (1521\/91 - 11) + (1 - (-2 + 11) - -2). Let v = -0.5 - 1.5. What is the third biggest value in v, o, -5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5668 + -5671. Which is the fourth smallest value? (a) -12\/11 (b) 2\/7 (c) t (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2770985554 to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87928 is divided by 14654.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from {j: 5, i: 3, f: 1, o: 2, w: 1, c: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 729999 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Solve -w*j + 3 + 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67257608.95 to the nearest 100000.\nAnswer: 67300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5972, 11970, 17992, 24050, 30156, 36322?\n\"Answer: 2*x**3 + 5984*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -k + 37, k - 10*g = -14*g - 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.189 to one dp.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-24)\/(-64) + (-11)\/(-8)). Suppose q*v = 17*v - 11230. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + -3 - ((12 - 6) + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m**2 + 22*m - 22*m - m**2 + 6*m**2 - 3*m**2 + (-11*m + 23*m - 3*m)*(m - 4*m + m) + (2 - 2 - 2*m)*(5*m - m - 2*m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/2940 + s**6\/1260 - s**5\/105 - s**4\/21 - 2*s**3\/3 + 26*s. Let h(t) be the second derivative of i(t). Solve h(z) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 + 10 - 41) + 8 + 8\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*16\/(-64) - 60396\/(-3). Calculate the greatest common factor of h and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/3 + (-6)\/(-306)*-17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255593\/248925 - 2\/16595. What is the common denominator of u and -103\/36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (6 + -5 + -28). Suppose g = -3*s + j, s + 4*g - 14 = 7*g. Let p(b) = -b**3 - 6*b**2 - 5*b + 5. What is the remainder when s is divided by p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {f: 2, u: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:51 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 + 162 - -6*(0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 3688974095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 102322.\nAnswer: -511610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + w - 2 + 1432*w**4 - 8*w**3 - 1436*w**4 to u*w**4 + p*w + r + x*w**2 + a*w**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -7, -21 in decreasing order.\nAnswer: -2, -3, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 + 2)*(-3666)\/(-104). What are the prime factors of 12*(-3)\/(-45) + s\/(-25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 4:59 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-862)\/(-7758)*((-117)\/4)\/(-1)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99269*z - 837 + 1681 - 844.\nAnswer: -99269*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324\/5 + 66. Let l = -31 - -32. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + 1)*3 + sqrt(405) + 0)*4)**2.\nAnswer: 3456*sqrt(5) + 103824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 110*25338\/(-9)*7\/((-112)\/24). Round o to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.2, 8, -0.215.\nAnswer: -0.215, -0.2, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2 (c) 12 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 7*j - 12*j)*(10 - 1 - 2) - 4*j + 3 - 3 - 2*j + j - j + (-3 + 2 - 1)*(2 - 2*j - 2) + j + 0*j + j + 0*j + j - 2*j + 2*j - j - 3*j.\nAnswer: -115*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 52 - 20. Suppose 0 = 4*m - 5*y - 35, 3*m = 2*y + a + 17. Let d = 35 - 20. Solve -p = -m*v + p - d, -3 = v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-5)*(-10)\/3. Suppose 4*y = -w - 11 + 177, 2*w - 2*y = 382. Let c = w - 170. Calculate the highest common divisor of t and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(15 + 64\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 - 4*g - 5. Let x be v(4). Let j be 10\/(-45) - 4\/(-99). Which is the closest to -1\/3? (a) x (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -131 - (17 + -22 + -27) - 8?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -158, -359, -640, -1001, -1442, -1963?\n\"Answer: -40*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171038*x**3 + 378488*x.\nAnswer: -1026228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**3 + 2*h**2 - 1. Let u be a(2). Let i = u + -29. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1281 - 1283. Sort f, 4, -52 in decreasing order.\nAnswer: 4, f, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -0.5 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 - 4*a + 3. Let z be l(4). Let m = 2 + 3. Let q be (-8)\/20 - (-2)\/m. Solve -t - 2*i = -i + z, q = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 43. Let j = w - 17.99987. What is j rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/24 + (-2)\/6. Suppose -5*d - 143 = 3*s, 0 = -0*s + 5*s - 5*d + 305. Let w = -170\/3 - s. Which is the closest to w? (a) 4 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -353.97569069 - 0.06540931. Let t = -221 - 133. Let x = h - t. What is x rounded to three decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 - 668095\nAnswer: -668096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 200*a + 2. Is d(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f + 1. Let i(q) = 7*q**2 - 34*q + 4. Let p(u) = -i(u) - 6*t(u). What is the tens digit of p(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4375\/14)\/(-25)*(-4)\/(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1418*y - 140. Let s be d(-41). Let j = s + 3496583\/60. Calculate the common denominator of -13\/6 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(350)\/sqrt(7)) - (sqrt(78)\/(sqrt(6)*-2 + sqrt(6)) - sqrt(1300)*2).\nAnswer: 106*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2074 (base 8) to base 10\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3997 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996540?\nAnswer: 2, 5, 149827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119*172\/40936*(-224)\/(-2)*(-18)\/8?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(-2*sqrt(3)*1 + 1)**2.\nAnswer: -156 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, e: 4}. Give prob of sequence wee.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29769549 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 greater than 227602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 213\/(-142)*(-4)\/3. Solve a - 6 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-102) - (-70)\/(-57)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 77870736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + 12. Let p = 398 - i. Suppose p = 3*h + 2*h - 2*n, 4*h - 211 = -3*n. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -421*p**2 + 296*p wrt p?\nAnswer: -842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -31)*(15\/10)\/((-9)\/(-6))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-119826 + -18)\/(-9) + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47148617 rounded to 4 decimal places?\nAnswer: -0.4715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 - (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 269619018 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 13\/9, 49, -0.4?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 850059.6 litres in millilitres?\nAnswer: 850059600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 6*d**2 + 0*d + 12*d**2 + 18. Let v(s) = -377*s**2 + 104*s - 377. Let k(z) = 5*v(z) + 104*w(z). Differentiate k(c) with respect to c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136074383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-4))\/(8\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4\/5, 2, 0, 0.17 in increasing order.\nAnswer: -2\/7, 0, 0.17, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000954172 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45204.2 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 9. What is z(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 + p - 3. Let i be o(3). Suppose -10*d + 15*d - 50 = i. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50*x**2 + 205*x + 220. Let m(f) = -3*f**2 + 12*f + 13. Let n(d) = -2*k(d) + 35*m(d). Solve n(l) = 0 for l.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -25, 26.8, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8324573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 27 - (2 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810593 is divided by 23155?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3\/2, 531, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gya when three letters picked without replacement from yag?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*j, -167*p + 165*p - j + 39140 = 0. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 47 = -271. Suppose 0 = 5*i + 2*k - 83 + 23, -48 = -4*i - 4*k. What is the remainder when (s + -1)*4\/10 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 10 = -9*d. Solve d*k + 12 = 2*k + 4*a, -4*a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttgfrg. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25676 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175145 + -174423.166. Let w = i + -721. Let y = w - 0.8. What is y rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4276784*w. Let g(p) = 3*p. Give x(g(m)).\nAnswer: -12830352*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1387453*o**2 - 4555*o - 4555. Let k(p) = 914*p**2 - 3*p - 3. Determine 4555*k(s) - 3*v(s).\nAnswer: 911*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 695 = -9*i. Let l = -98 - i. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*(-2)\/1) + 8690\/(-474).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -869*z**6\/120 - 158*z**3 + 60*z**2 + 5*z. What is the derivative of d(b) wrt b?\nAnswer: -2607*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -31)\/(12*(-7)\/(-56)). Find the common denominator of 39\/14 and g\/(-140)*4*-10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -104. Let p(o) = -o**2 + 8*o - 17. Let m be p(l). Let f be (-1)\/3 - m\/(-12)*-62. Solve -2*u - 2*b - f = 0, -5*u - 12 - 5 = 3*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -13. Let c(m) = 1282*m**2 - 4*m + 5. Let o be c(-2). Suppose 0 = 4*z - f - 5135, p*z - 3*z - 3*f - o = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 - u + 2. Suppose -5*l + 2*z - 3 = 0, -4*z - 4 = 5*l - 25. Let d(y) = y**3 - y**2 - y + 1. What is l*h(q) - d(q)?\nAnswer: 3*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*r - 51663 + 18047, -c = -3*r + 25220. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (11 - 22) - (10 - 3). Solve -x - 31 = 36*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -39*u + 968. Let b be g(25). Suppose 5*a - 8*a + 8 = -2*i, 0 = 3*i - 3*a + 9. Put b, 4, 22, i in increasing order.\nAnswer: b, i, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 - -2?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 387, 409, 441, 483?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 4. Let g = 0.6 + -4.6. Which is the second smallest value? (a) o (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/247 + -645\/1976. What is the second biggest value in -1\/5, 2, 3, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) -4 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u - 8*u + 0*u - 8*u + 286. Let o be r(-35). Solve -k = j - 3*j - o, 0 = -j - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22351209?\nAnswer: 3, 17, 438259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -2 - 0 - (70 + (193 - 254)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(-90)*-4109*(-809)\/9. Let h = a + 172363. Let i = -21463\/4590 - h. Find the common denominator of 139\/6 and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/935 and -111\/340?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -747640*o*r + 115*o + 5331 wrt r.\nAnswer: -747640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven fifths of a millennium?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*w - 547 = 0, -4*w + 7*w = 5*m - 686. What is the lowest common multiple of m and 2?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + sqrt(567) + sqrt(567) + (-3*sqrt(567) - sqrt(567)) + sqrt(567))**2 + (sqrt(567) + -3)**2 + -5)*-4.\nAnswer: 432*sqrt(7) + 13956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4151 by -822.\nAnswer: 4151\/822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1768478 times -2\nAnswer: 3536956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.357 - 834102?\nAnswer: -834102.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 764 and 3.24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5825882414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 155*z - 637. What is x(-44)?\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 910\/(-45). Suppose 0 = -2*o + f + 6. Let t = -6 + o. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*70\/(-48) + -5. What is the biggest value in -4, s, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31, 3, -4, 53 in descending order.\nAnswer: 53, 3, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 19. Suppose u = 10*z - 9*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + f**4 - f**4)*(3*f - 5*f - 3*f)*(-1 - 2 + 4).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6892260 * 0.14\nAnswer: 964916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + a**4 - 2*a**2 - 1 - 2*a**4 + 1 + (-4*a - a + 3*a)*(0*a**3 + a**3 + 0*a**3) + 0*a**4 - 2*a**4 + 3*a**4 - 4*a**4 + 0*a**4 + a**4.\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2655 and 219510.\nAnswer: 12951090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-963.543.\nAnswer: -48.17715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -48*a - 61. Suppose -6*f + 7*f = -2*x - 2, 33 = -3*f + 3*x. What is the hundreds digit of z(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -34. Let k be -5*(c\/5)\/4. Suppose h + 36 = k*r, -h + 24 = -3*r + 5*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-6 - -4 - (3 + -2)). Let i(b) = -8*b + 0*b + t*b. Let d(q) = q**2. What is i(d(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 60 - 73 - 77 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 4 (b) 1 (c) -0.5 (d) -2\/13 (e) -3668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15570192.\nAnswer: 2, 3, 11, 37, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433373, -1733588, -3900611, -6934442?\nAnswer: -10835081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -260*y + 519. Let q be h(2). Which is the closest to 0.3? (a) q (b) -36 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49193 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -205697587?\nAnswer: 41139517.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2999 + 2511. Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71068544 and 497479808?\nAnswer: 497479808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 9*p = 0. Let t(b) = 4*b + 482. Is t(p) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 divided by 2?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Find the third derivative of 2*h**r - 10*h**2 + 2*h**3 - 7*h**3 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**3 + 23*x**2 - 10*x - 2. Let k(j) = 4*j**3 - 20*j**2 + 10*j + 3. Let d(n) = 6*k(n) + 5*s(n). Calculate d(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/285 (b) 12 (c) 56 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -4. Let q(m) = 4*m**2 + 23*m + 7. Let g be q(-7). Let b be 3\/(g\/74) + 10\/(-35). Solve -2*k + 2*o + p - 3 = 0, 4*o = 3*k - b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 + 7*a**2 + 68*a + 55. Is q(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -387.4371855.\nAnswer: -383.4371855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -331233031 (base 4) in base 14?\nAnswer: -68229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23325 and 9330?\nAnswer: 46650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/27)*c**(-1\/2)*(c**17*c)\/c*c**(2\/5) assuming c is positive.\nAnswer: c**(4583\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o + 5163. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*6\/(-432))\/(2\/(-3)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 91*j**3 - 171*j**2 + 87*j - 25. Let q(x) = -46*x**3 + 86*x**2 - 44*x + 12. Let t be (-1)\/(1*(-4)\/36). Let w(h) = t*q(h) + 4*i(h). Factor w(a).\nAnswer: -2*(a - 1)*(5*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**2 - 3*y - 48*y**3 + 30 + 2*y**2 - 33. Let t be g(-3). Suppose 4*v + t = 7*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 88945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*h**2 - 63*h**2 - 64*h**2 + 43*h - 62*h**2)*(0 + 0 + 1).\nAnswer: 9*h**2 + 43*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15238349 times 0.3?\nAnswer: 4571504.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13 (b) -2381\/5 (c) 0 (d) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/3 + 3*t. Calculate l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-40))\/((-5874)\/(-5696)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 557 (base 16) to base 14\nAnswer: 6d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 375715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22760 + -11529. Suppose 4*m - w = 3969. What is m rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*h - 83 = 3*d, -5*h = 10. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let i(u) = -362*u - 3. Let l(g) = 41987*g + 347. Let t(k) = -347*i(k) - 3*l(k). Give b(t(p)).\nAnswer: -694*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h - 3 - 33*h + 7.\nAnswer: -10*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.901 times 4\nAnswer: -7.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9234761 is divided by 43975.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 265864 and -16?\nAnswer: -4253824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.0012, 4 in descending order.\nAnswer: 4, 1\/2, -0.0012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1519 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 4)*-2*1. Suppose 0 = -n - k*n + 2*t + 10, -3*t - 15 = n. Let a be 1 - (n + 3\/9). What is the third biggest value in 0.5, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 849014\/442 - 8\/(-52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -412. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110000 (base 4) to base 10\nAnswer: -5376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760*n - 4760*n + 2*n**2 + n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 7794 = 25*s. Suppose -5*k = i - s, -4*i - 773 = -3*k - 3*i. List the prime factors of k.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - w**2 + 3*w**2 - 3*w**3)*(-4 + 5*w - 10*w + 4*w).\nAnswer: -w**4 - 6*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1925, 0.2, 0.06, 0 in decreasing order.\nAnswer: 0.2, 0.06, 0, -1925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - 8 - (2 - -1). What is the third smallest value in 0, -3, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/276 and 53\/4393228?\nAnswer: 303132732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**3)**(-10\/11)\/(r*r\/r**(-1\/3))**14)**4)**48 assuming r is positive.\nAnswer: r**(-65152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 4\/(-22) - 11520\/(-528). Suppose -1076 - 178 = -k*o. Let t be 0 - (-2 - 76) - 2. What is the highest common divisor of t and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -0.3, 290, 2 in decreasing order.\nAnswer: 290, 2, 0.5, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*k**2*x**3*z + 2*k**2*x*z - 194215*k**2*x - 3*k*x**3*z - 30*k*z - 5667*x*z wrt k?\nAnswer: -296*x**3*z + 4*x*z - 388430*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let c = -2 + 2. Suppose x = -f + 137, -g*x - 4*f + 8 + 401 = c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -116*h**3 + 6. Let q be (-13)\/(273\/(-14)) + 21\/9. Let r be l(q). Round r to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (72\/(-20) + 0)\/((-8)\/54140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-4)\/(sqrt(90) - sqrt(90)*2) - (sqrt(204) + sqrt(204) + (sqrt(204) - 2*sqrt(204))*-3)\/(sqrt(12) - (-1*sqrt(1728) - sqrt(1728))).\nAnswer: 17*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -8. Let c = p - 4. Suppose 0 = -3*f - i + 255, 0 = -4*f - c*i + 2*i + 338. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 255174.\nAnswer: -255172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 883.183 - -1365.874. Let d = t - 2248. Let s = d - 0.057. Which is the nearest to s? (a) -3 (b) 2\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6732 divided by -4?\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2 - 5)*(5*y + 0*y - 3*y) - 2*y + 5*y - 2*y + 4*y - 7*y + y + 2*y + y - 4*y)*(2*y + 0*y - y) to the form c*y + r + x*y**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*0 - 0. Suppose g = 7*b - 4*b - 18. What is the lowest common multiple of 3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i*i**(5\/3)*i))\/i)**(-36\/7) assuming i is positive.\nAnswer: i**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340173 is divided by 536?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a + a + 1 - 1 + 3*a + 0*a - a - a + (-3 - 1 + 5)*(-a + 4*a - 2*a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1213889*q**3*u**3 + 21*q**3 + 3448*q*u**2 + 3*q*u wrt u.\nAnswer: 7283334*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let y(t) = 3*t**2 - 5*t - 2. Let w = -2 + 1. Let r(f) = w*y(f) - 5*k(f). What is the first derivative of r(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - m + 5. Suppose 3*t = -2*j, -j + 2*t = -4*j. Let r be p(j). Find the second derivative of -2*n + n**3 + r*n - 4*n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 + 8*h**3 - 36*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**2 - 1849*u - 34973. Determine h(-132).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 2 v when four letters picked without replacement from bqxqqvjxjvxqb?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 9. Let u be p(-6). Suppose r = -u*r. Suppose 0*s + 5*s - a - 24 = r, -8 = 2*a. Let o(h) = h**3 - 3*h**2 - 5*h - 1. Give o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 2 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.1 + 33.1. Suppose -109*s + 142*s - 20 - 46 = 0. Sort s, q, 0 in descending order.\nAnswer: q, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -3\/5, -0.1 in decreasing order.\nAnswer: 1, 0.4, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27628.8 rounded to the nearest one hundred?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, -63, 0.03, -3\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 3*x**4 + 0*x**4 + 2*x + 104*x**3 - 100*x**3 to the form o*x**3 + q + c*x**4 + h*x + l*x**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.54 decades to centuries.\nAnswer: 0.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.09932002.\nAnswer: -0.04966001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60039.22m to centimeters.\nAnswer: 6003922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/106328515 or -1?\nAnswer: 1\/106328515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 35*s + 18*s + 6*s. Let q(b) = -b. Determine h(q(u)).\nAnswer: -59*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 201*u = 198*u + 75, -7*l - 10*u = -2*l - 175 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -27 + -22\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15 - 61\/(-5). Suppose 0 = p - 3*p - 12. Let x = l + p. Solve x = 3*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 4. Let t be (3\/2)\/(b\/(-12)). Solve -2*c + 4 = -t*u - 2, c - 3 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/94 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4367.8 take away 6?\nAnswer: -4373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6575*k**4 + 12*k**2 + 6565*k**4 + k**2)*(-1 + 3 + 25).\nAnswer: -270*k**4 + 351*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -96, -105, -130, -177, -252, -361, -510?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -9*i**6\/40 + i**5\/12 + 1063*i**2 + 2. Let g(o) = 121*o**3 - 22*o**2. What is -5*g(z) - 22*v(z)?\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37727080 by 5.\nAnswer: 7545416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254482?\nAnswer: 2, 127241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2789 * -2.\nAnswer: -5578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1459 and 1459 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 297 + 320 - 3*i + i**2. Let l be z(7). Let v = l + -28. Solve 3*u = 5*p - v, -3*u - p = -u + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-69)\/(-345))\/(11\/(-5) + 1). Let p = 2 - 3.2. Let y = -1 - p. Which is the nearest to 0.1? (a) -1 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -931514 (base 16) to base 9.\nAnswer: -20121428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 25462*k**2\/7 + 76368*k\/7.\nAnswer: 2*k*(k + 3)*(k + 12728)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, o: 7, x: 2}. Give prob of sequence nnox.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907253.\nAnswer: 61, 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.098 + 2.62. Let d = m - -179.278. Round d to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -115*c**3 + 3*c**2 + c - 2. Calculate the least common multiple of m(-1) and 95.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*h**3*m - 48*h**2*m + 2*h**2 - 18*h - 817*m - 24611 wrt h?\nAnswer: -78*h**2*m - 96*h*m + 4*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Suppose 9*t - 32 = 4*k + 5*t, -40 = 4*k - 2*t. Let i be (-4)\/(k\/(-9)) - (-3 + -4). Sort j, i, -3.\nAnswer: -3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*m - 4 - 18 = 0, 5*j - 37 = -m. Solve 0 = 3*f - j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16526, 18090, 19654, 21218, 22782, 24346?\nAnswer: 25910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by (300\/35 - 8)\/((-2)\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 15867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**7\/3 + 2*y**4\/3 + 8*y. Find the third derivative of x(i) wrt i.\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + c + 25, 3*h + 2*c + 28 = 4*c. What is the units digit of (-178)\/h - (-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohohohhbohb. Give prob of picking 1 h and 1 o.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 1. Let t(h) = -h**3 + 4*h**2 + 19*h + 9. Let n be t(7). Let s(f) = -13*f - 2. Give n*x(d) + 3*s(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*r + 860 - 465 + 9*r with respect to r.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3953474642?\nAnswer: 2, 13, 37, 4109641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4522 divided by -34.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 4, q: 1, j: 1, h: 2}. Give prob of sequence shhe.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 5, 271, -2, -1, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*u + u. Suppose -q - 7 = u. What is the common denominator of q*(-2)\/(-8)*-3 and 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/84)\/((-4)\/(-14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28077.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-s + 2*s + 0*s)*(-3*s**2 + 50 - 111 + 54).\nAnswer: 6*s**3 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 9. Calculate the least common multiple of 7 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, n: 4, w: 1, f: 1}. Give prob of sequence nz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5623 - -115?\nAnswer: -550d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:52 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q + 2. Let x be k(0). Suppose -4*m + 3*r = -33, -22 = -3*m + 4*r + r. Solve 0 = x*f - 5*t + 21, -4*f - t - 5 = -m*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*v - v = 5, -2*x = 3*v - 1. Suppose -6*a = -11*a + x*s + 640, s - 5 = 0. Calculate the remainder when a is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l**2 - 1. Let y(g) = -13*g + 9. Let p(k) = 3*k - 2. Let v(w) = 9*p(w) + 2*y(w). Determine v(q(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(48\/30) + 3084 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*t + 5*t - 1966, 4*t + 5*d = 2603. Suppose -4*y - t = -5*s, -s - 3*y = y - 117. Factor -7*x + 28*x**2 + 32 - s*x + 16*x.\nAnswer: 4*(x - 4)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 16*z**2 + 13*z - 66. Give k(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70989502 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 70. Solve 6*h = -o*h - 70 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5738305?\nAnswer: 5, 109, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*v + 22, -9*o = v + 4*v - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192138116.\nAnswer: 2, 137, 350617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92\/21 + -33\/7. What is the second biggest value in -0.4, -3, -5, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3 - 1098*c**2 + 401868*c - 1891. Solve f(u) = 0.\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24952878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/(j*j**(-3\/7)\/j*j))\/(j**(1\/2)*j**(8\/5)) assuming j is positive.\nAnswer: j**(-298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9127 - 9122. Which is the third smallest value? (a) y (b) 17 (c) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4 - 2*x + 0*x + 4. Let c(t) = t + 1. Let o(n) = -2. Let b(s) = -2*c(s) - o(s). Calculate b(u(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10718 = 4*x, -78 - 4226 = 2*o + 4*x. Let q = -14965\/7 - o. Let h = 4216\/9 + -468. Calculate the common denominator of h and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.8 - 36. Let g = -0.3 - -0.2. What is the nearest to g in -3\/8, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221\/270 - 1\/54. Let t be (-5)\/15*-12 - 0. Which is the second biggest value? (a) -9 (b) t (c) 0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.2940472 months?\nAnswer: 0.01911706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 17*w + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/9030 and 113\/45150?\nAnswer: 45150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 5*a + 7*a + (0 - 4 + 5)*(-2*a + 5*a - a) + 4 - 4 - 3*a - 1 + 1 + a - 6*a + 3*a + a in the form m + q*a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + o**2 + 2*o - 3. Let t be n(1). Solve -5 + 13 = t*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.1. Let x = r - -4.6. Let p = x - 5.015. What is p rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 6 + 14 + -37 + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 17*q - 4 + 4 in the form w + r*q and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8039 = -4*i - 1087. What are the prime factors of i?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 0 + 1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/72)\/((-52)\/(-16) - 3). Which is the third smallest value? (a) 0.1 (b) -4\/5 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.377 + 0.123. Let y = -0.342 + 0.342. Which is the biggest value? (a) 3 (b) y (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -18*l**3 + l**2 + l + 1. What are the prime factors of h(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -3\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*m - 139, 0*z - 2*z = 4*m - 70. Let d(p) = 28*p - 43*p + z*p**2 + 6*p**2 + 16*p. Let l(r) = -3*r**2. Calculate d(l(a)).\nAnswer: 315*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-3) - ((-1598)\/1564 + 16).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 315 - 909 = 0. Let g = 205 + j. Put 13, -1, g in ascending order.\nAnswer: -1, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*i - 1370 - 266 = -307 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 7*k - 13. Let g be y(-9). Solve 3*b - 3 = 3*v + 3, -b = -g*v + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30230 - 3?\nAnswer: -30233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4 - 380*s**3 - 2860*s**2 - 6660*s - 4176 = 0?\nAnswer: -87, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12014443 (base 5) to base 16\nAnswer: -1b01f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05935 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80404792 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -84\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36283\/101878 - -67\/766. Find the common denominator of x and -61\/288.\nAnswer: 38304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 509 + -508.1. Which is the nearest to -6? (a) 3 (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/12 - 6*v**2. Let u(m) = 5*m + 4. Let z = 1263 - 1262. Let n(x) = z*j(x) + u(x). What is n(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/37)*l**(-14))\/(l**(-11)*l**(8\/5)) assuming l is positive.\nAnswer: l**(-476\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2605*p - 932562. Calculate m(-358).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Suppose n = 4*s - s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 13b49?\nAnswer: -13b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/285, 0.4, -1, 1, -2\/13.\nAnswer: -1, -2\/13, 2\/285, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-52)\/(-16) + (-2412)\/(-48)*27\/(-81)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2318056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 2*d - 3. Let a(u) = -7*u**2 - 7*u + 11. Let n = 47 + -53. What is n*a(j) - 22*b(j)?\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 1291144906 = 16667455094. What is p rounded to the nearest 1000000?\nAnswer: 499000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**3 - 18*j**2 + 93*j**2 - 28*j**2 + 24*j**3.\nAnswer: 24*j**3 + 47*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15231*a - 182039. Determine q(12).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -47. Factor 1\/3*a + a**s + 0.\nAnswer: a*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 321*a - 967. Let o be m(3). What is the nearest to -14 in -0.4, 4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 - 10\/(-3). Suppose -59 - 16 = -4*d + 3*v, 5*d = -5*v + 85. Solve 4*p - 14 = -s, -s + q*p - d = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2168 - 2167) + 2 + (89 - (-3 + 8)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2416 = -31*a - 2044 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 13 + 7, -5*t - 20 = w. Suppose w*h = h. Suppose h = -g - g + 14. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -38 (c) 0.1 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5000023\/24 - -208336. Let d = 182837\/70 - 2612. Find the common denominator of d and w.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*y + 11, -2 = y - 3*p + 2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 342 + 366 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*r - 10*r + r)*(r + r - 3*r) + (1 - 1 - 2*r)*(-91 + 23*r + 91).\nAnswer: -74*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r**2 - 1289*r + 6893. Calculate c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -35. Let n = 1.6 - 2. Let v = n + 0.2. Is d >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 253 + 131 = -4*o, 3*o + 286 = y. Let n = 1409\/15 + o. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 12. Let y(j) = j**3 - j + 22. Let w be y(0). Is 15 a factor of (w + (0 - 1))*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 7*i**2 + 6*i + 4. Let o be b(-6). Suppose -4*n + 20 = o. Suppose 0 = -5*w + 20, n*w - 28 = 2*g + 2*g. Put -1, -4, g in descending order.\nAnswer: -1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 1139 - 3589 = 46*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0*u - 5*u)*(4 + 1 - 7)*(-23*u**3 + 7*u**3 - 13*u**3) - 5 + 16*u**4 + 5 to the form t*u**3 + v*u**4 + i*u + w*u**2 + r and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 13*c - 21*c - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*f + 1680 = 0. Let j = -191 - f. What is the highest common factor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h + 1. Let s(i) = 3*i**3 + i**2 + i - 1. Let o(p) = -7*p**3 - 2*p**2 - 2*p + 2. Let r(b) = -4*o(b) - 9*s(b). Let n be r(2). Is x(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:43 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/((13 - 9) + 1*-3). Let n = -47 + l. Suppose d = 2*a - 3510, 5*d + n*a = -10887 - 6588. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 528, 160, -646, -1890?\nAnswer: -3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*s + 24 + 1, 15 = -3*r - 4*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:32 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 17*y**2 + 21*y - 47. Let g be c(16). Let o(i) = -2*i + 78. Let b be o(g). Let q = -2 - -4. Solve 4*n = -4*r - 0 + b, q*r + 4*n - 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) -2781\/78128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -2. Let u = 0.133 + 0.867. What is the nearest to u in 0, s, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 214\/217519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 11*q**7\/42 + q**6\/120 - 65*q**3\/3 + 7*q**2 + 4. What is the first derivative of a(t) wrt t?\nAnswer: 220*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1506781*o**3 - 14518591 with respect to o.\nAnswer: 4520343*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 3) + (1 - 0). Suppose -2*a + q + 3 = 0. Suppose -r - 31 = -x - a*x, -2*x = -3*r - 2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*v**2 - 764*v + 63435?\nAnswer: -56*v - 764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5406*r**2 + 5406*r**2 - 4 + 4*r**4 - 4*r**3 as k*r**4 + t*r + x*r**2 + y*r**3 + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 366*r**2 + 228*r + 71. What is the thousands digit of q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899*p**2 - 362 + 362 + 895*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000680685 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w + 202. Determine x(-6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/10749 - -154057\/64494. Let v = 22741\/8 - 2854. Find the common denominator of v and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*u + 56 = 2*s, 0 = 2*s + u - 134. What is the remainder when 212 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*c + 12, t + 0*t - 3*c - 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -5, 5, -4, 257 in ascending order.\nAnswer: -8, -5, -4, -3, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 2. Let r(y) = -10*y. Determine r(p(l)).\nAnswer: -90*l - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:32 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -0.2, -2326, -5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4 + 13 + -21 + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1882\/19 or -98?\nAnswer: -1882\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/40)\/(2\/5). Suppose -2*s = 3*x - s - 10, -g*s + 24 = 4*x. Solve x*u = 6*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 0 - 10, 0 = -d - 3*p + 2. Let u(g) = -7*g + 10. Let y(k) = 2*k - 3. Let c(m) = -u(m) - 4*y(m). Give c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 24*y + 420. Let p(x) = -x**2 + 5*x - 84. Let z(t) = -2*n(t) - 11*p(t). Let h be z(-13). Solve -h*r + r = j, 20 = 5*j + 5*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186801 + 186802 - 373603 - 33*i**2.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5*208\/120)\/(((-1)\/2)\/((-12)\/16))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 21011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 846 and 46098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-11 + 10 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 - 1434*j**2 + 5724*j - 5720 = 0.\nAnswer: 2, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02402 minus 415?\nAnswer: -414.97598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933185 is divided by 300?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 4*d + 4. Let n(q) = 4*q**2 - 3*q + 3. Suppose 6*l + 33 = 9. Let j(g) = l*n(g) + 3*o(g). Factor j(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5369*k**3 + 8*k**2 + 32*k - 3014. Let y(v) = -5373*v**3 - 9*v**2 - 36*v + 3013. Let z(a) = 9*q(a) + 8*y(a). What is the derivative of z(g) wrt g?\nAnswer: 16011*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110 (base 3) to base 2.\nAnswer: 10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43\/5*q**2 + 0 + 13\/5*q**3 + 18\/5*q - 2\/5*q**4.\nAnswer: -q*(q - 9)*(q + 2)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*w**4 + 6 + 17*w - 3*w**3 - 15*w + 12*w**2 - 93*w**4 in the form u + s*w**4 + m*w**2 + i*w**3 + r*w and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -65, 378, 961, 1672, 2499?\nAnswer: 3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 22*a - 70. Is s(-29) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 * 0.5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*n)*(8*n**3 - 4*n**3 + n**3) - 4*n**3 - 2*n**4 + 4*n**3.\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-18\/5)*y*y**5*y*y**(-1\/3)\/y**(-19) assuming y is positive.\nAnswer: y**(346\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d**2 - 75*d**2 - 1607*d**2)*(6*d + 0 - 4*d + 1).\nAnswer: -3316*d**3 - 1658*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17870 is divided by 17724?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 16*b**2 - 2*b + 36. Let h be a(16). Let o be (-147)\/(-15) + h\/20. Let y be o - ((4 - 7) + 3). Solve n = 3*n - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + a - 1068 = 0, 3*g + 2*a + 2*a = 788. List the prime factors of g.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-18)\/567 + (-450)\/(-42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.29522 (b) -1\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29639793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 11*k - 20*k + 9*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 39\/4, 1\/12, 22\/15?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 42*f - 41. Determine l(31).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vim when three letters picked without replacement from {d: 1, m: 1, s: 1, c: 3, i: 1, v: 5}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1070555429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 779.4 to the nearest 10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*w = -240. Let a be (-82)\/5*(-4)\/(-8)*w. Round a to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 4*z**2 + 10*z**2 - z**3 - 1 + z + 0*z in the form j*z**2 + p + k*z + c*z**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:02 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*v = -62, 4*v - 58 = -m - 2*m. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + -a3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -470 and 1650?\nAnswer: -775500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 24 = 2*w. Let m(o) be the third derivative of 0*o**4 + 0*o**3 + 0 + 1\/20*o**5 + 0*o + 6*o**2. Let y(z) = 3*z**2. Give w*y(b) - 3*m(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-2)\/(-4)*197\/(-985)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i - 701. Give y(-36).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -2\/11 (c) -47\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 - (-3 + 3))) + -104 + 94\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1106 and 2844.\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 494693.6 days?\nAnswer: 42741527040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 9*q + 920 = 0. Suppose 0 = -u + 6 - 0. Is 31 a factor of q\/u - 9\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 2*g, -g - 6 = -3*l + 3. Put 22, g, -1, -7 in descending order.\nAnswer: 22, g, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - b)*((-3 + 6 - 4)*(-4 + 0 + 6) - 3 - 4 + 5).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17109*f**2 - f + 223244 wrt f.\nAnswer: 34218*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.039, -3, -156.1?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31002 + 11?\nAnswer: 31013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7107*i - 7478 wrt i?\nAnswer: -7107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48178774037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*z = 146*z + 323. Let m be (-6209)\/(-35) + (-2)\/5. Let r = -1595\/9 + m. What is the biggest value in z, -2\/19, r, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1b3?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (1*sqrt(63) - (-1 + -2*sqrt(7)))).\nAnswer: -15*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/297 and 59\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let s be n(2). Let d = 805 + -801. Sort d, 3, s.\nAnswer: s, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 49 = 3*i, 17*k = -3*i + 15*k + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 68 + 48 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74988 and 12?\nAnswer: 74988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -75. Let g = -4304232.00074 - -4304171. Let m = g + o. Round m to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, u: 2}. What is prob of picking 3 v and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + k. Suppose -25*l + 26*l + 1 = 0. Let q be r(l). Is 2 + (-574)\/(-8) - q\/24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58.31 * 1562\nAnswer: -91080.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2. Let h(m) be the second derivative of -5*m**3\/3 - 93*m. What is t(h(j))?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) - (-453)\/2. Let z = 2485 + -2597. Let t = z + m. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 2*l**3 + 0*l**3)*(2*l**2 + 3*l**2 - 7*l**2 + (61 - 13*l - 61)*(1 + 2*l - 1)).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -5*p, -2*p + 7*p = t + 11. Let b(s) be the third derivative of s**5\/20 + s**3\/6 + s**2. What are the prime factors of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 52.5676376 and -255874.\nAnswer: -255821.4323624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 6*h - 5. Let x = 4 + 3. Let f be w(x). Suppose -f*i = -2*g - 12, -6 = g + g. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -491 - -493.22. Let g = p - 2.21916. Round g to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/14*2\/(-3). Let o = -381 - -377.02. Let s = 0.02 - o. Which is the second biggest value? (a) 0.3 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19348 and 19354 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/120 + u**5\/10 + u**4\/24 - 4*u**3\/3 + 40*u**2. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/22)\/(178\/1958).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.1702, -5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 5 + 1 - 6 + q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -3)\/((-4)\/(-8)). Let p be 2\/(-4)*0\/o. Solve 0*y + 2*y + 8 = p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*((z*z\/(z\/(((z\/z**(-2\/9))\/z)\/z*z*z)))\/z)\/z)*z**(2\/9)*z*z**(1\/5)*z\/z**(-1\/5) assuming z is positive.\nAnswer: z**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202121 - 2101010100?\nAnswer: -2101212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 0*i)*((-2*i**2 + 3*i**2 - 4*i**2)*(2 - 1 - 3) - 11 - i**2 + 11).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 10. Let k be g(5). Suppose -o + k = -3. Let j = -13 + o. Which is greater: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3143 = -4*i + 5*c + 7005, 2*i = -3*c + 5096. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64937 and 4?\nAnswer: -259748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.437 rounded to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23845.99 grams?\nAnswer: 23.84599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/30 + (-12)\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 6. Let w be 2\/6 - (-138)\/18. Let o be f(w). Is -4\/5 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 12740*y\/3 + 20288450\/3.\nAnswer: 2*(y + 3185)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -58586 divided by -11\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.7 + 9.62. Let p = s - -0.43. Round p to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*o - 18, 6*o - 9*o + 10 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 23. Suppose -3*o + 29 = 2*b, -b - 12 = -5*o + 6. Calculate k(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 15*n**2 - 13*n - 17. Let l be t(14). Let b be (-7)\/l*(1 - -2). Let r(i) = -i + 16. What is the units digit of r(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 2*n - 57\/2*n**2 - 137\/10*n**5 + 3 + 1\/12*n**4 + 0*n**3. Find the third derivative of w(p) wrt p.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2\/5*h + 0 + 6\/5*h**2 = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.96 + -2.14. Let j = x - -15. Which is the closest to 1? (a) 0.1 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 70. Determine k(29).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-46))\/(((-10)\/(-12))\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.024218 rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -10) + -12 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 10*n + 26. Let k(y) = 2*y**2 - 7*y - 17. Let d(t) = -7*k(t) - 5*r(t). Determine d(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmy when three letters picked without replacement from {y: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.2663478 from 97.\nAnswer: 101.2663478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205303 is divided by 301324.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 o, and 1 c when four letters picked without replacement from cohhc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 3*q - 2. Suppose -2*o = -4*o - 14. Let j = o + 11. Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuccucucuuu. Give prob of picking 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16432*d + 14066*d + 1984*d - 1 + 1)*(1 - 3 + 1).\nAnswer: -32482*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 864 - 862. What is the remainder when -7*(20\/(4\/h))\/(-2) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 10. Let i be t(7). Let u(m) = m**2 - m - 1. Let z be u(-2). Let k = z + i. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 37. Suppose -13 = -5*o + v. Which is the third smallest value? (a) 0.1 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1 - (-5)\/(-4)). Solve -5*x + 2*w - u = 0, -5 = 4*x - 0*w - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (82 - 76 - (-3 - 1)) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -8 + 8)\/1. Solve -2 = 2*b - d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*-3)\/((sqrt(60) - (sqrt(300)\/sqrt(5) + sqrt(60)))\/sqrt(12)) + (2*(-2 + sqrt(468)) - sqrt(468) - (sqrt(468) + 1)*1).\nAnswer: -5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-87)\/36)\/((-4)\/(-2)) and 19\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18558 = 3*t - y - 4*y, -2*y = -4*t + 24758. What are the prime factors of t?\nAnswer: 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6491328*j*l - 100*l + 7666 wrt j?\nAnswer: -6491328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 36 = 2*k - 53 + 20, 0 = 3*k + 6*p + 12 - 111 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 0*p**2)*(-5*p**2 + 2 + 3*p**2 - 1 + (10*p - p - 3*p)*(3*p + 2*p - 6*p)).\nAnswer: 16*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 66.3 (b) 0.14 (c) -23 (d) 5\/2 (e) 2 (f) 1 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(0*s + 5*s - 3*s) + (6 - 4 - 3)*(3*s - 2*s**2 - 3*s) + (-2*s**2 + 2*s**2 - 8*s**2)*(4 + 7 - 2).\nAnswer: -74*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**3 + 0*u**6 + 0*u**2 + u + 0 + 1\/4*u**4 - 1\/14*u**7 + 0*u**5. Find the third derivative of q(z) wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87974, 2, -854 in ascending order.\nAnswer: -87974, -854, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99910 and 7147930?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 6*sqrt(15)\/(sqrt(20)\/sqrt(4)).\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5, -0.1 in ascending order.\nAnswer: -5, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7 + 5. What is the units digit of (-14)\/i*(-12)\/(3\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + 16.4. Which is bigger: g or -10\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 18*d**4\/19 - 423672*d**3\/19 - 9185644*d**2\/19 - 55736200*d\/19 - 103518246\/19 = 0.\nAnswer: -13, -13\/3, 23559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:23 PM?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 32 = 4*n + 3*z, 4*n = 5*z + 6. Let r be 3*2\/6 + -99. Let h = r - -389\/4. Which is the second biggest value? (a) 0.4 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 54*f**4 - 486*f**3 - 1754*f**2 - 2256*f - 936 = 0. Calculate f.\nAnswer: -13, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*u, 2*u - u = -2*v + 7. Suppose -2*w - 20 = -v*w + 4*a, -3*w - 5*a = 9. Does 5 divide 2\/w*14\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-969)\/34 - -29)\/(1\/(-38)). Put 10\/3, o, 1\/13, 4 in ascending order.\nAnswer: o, 1\/13, 10\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**3 - 12*j**3 + 58*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 74.8161631 and 0.0145.\nAnswer: 74.8306631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 26*d = 11*d + 66 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**2\/b)\/(b\/b**(-1\/6)))\/(b*b**(-2)*b**6))**(-14))**(-21) assuming b is positive.\nAnswer: b**(-1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 5*i + 2. Let v be c(5). Let l be 1*v*2\/2. Suppose -3 = -5*t + l. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -2819.\nAnswer: -2823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8817 + -8618. Is h greater than 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:20 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.029 - -0.029. Let o = 34 + b. What is the nearest to 2\/7 in 3, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let u be -1 + (-5 - (-3 + m)). Let z(t) = -t**2 - 8*t - 5. Is z(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41925974, -2, 2 in descending order.\nAnswer: 2, -2, -41925974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3658, -3659, -3660, -3661?\n\"Answer: -l - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22130 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 79. Let j be ((5 - k)\/(-4))\/(8\/(-2)). What is the closest to j in 1, -4, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-1))\/(-24) + (-59)\/4. Let g be (592\/(-40))\/(6\/y). Calculate the greatest common divisor of g and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 6513, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 1189 = -1191. Suppose -64 = -a - 2*u, 2*a = -2*a - 2*u + v. Let m = a + 97. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let f(l) = l**2 - 6*l - 4. Let s be f(7). Let h be (16\/60)\/((-2)\/s). Are h and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 332124 - 332124 - 15108*k**2 as z*k**2 + i*k + f and give z.\nAnswer: -15108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.441266 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 2 (c) 0.1 (d) 30 (e) 0.08 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5\/11 - 6452*c**4\/11 + 734366*c**3\/11 + 135280*c**2 + 747264*c\/11 = 0.\nAnswer: -3336, -1, 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799432842?\nAnswer: 2, 3, 13, 41, 457, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4, 6*h - q = h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1209746160 divided by -11280.\nAnswer: 107247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 7*f + 10. Let x be q(-5). Suppose x = 5*o - 4*v - 260, -v - 300 = -5*o - 5*v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, d: 2, m: 2, w: 5}. What is prob of sequence xx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pipipipiipppppii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 14 - (-2 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-35 + 0) - (71 - (79 - 27))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 111310 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/(1\/4). Let u = 5 + -2. Factor -3*a**2 - a + a**z + u*a**2.\nAnswer: a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 55*t + 114. Determine c(-25).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1138 = 2883. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**2 - 76*s - 533. Determine v(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 14*h**2 - 14*h - 7. Let f be c(-13). Let v be (-14)\/(-5) - 1\/(-5). Solve 0 = 3*s - f*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4 = 5*q - 11, 0 = -3*q + 3*r + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -793*n - 7059. What is the units digit of u(-66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.29981. What is d rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 + b. Let o(f) = 11*f**2 - 2*f. What is -7*m(z) - 3*o(z)?\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/5575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 241\/(((-50)\/15)\/(-2)). Which is smaller: 146 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 94*p - 16792. Let l be w(179). Let n = 137 - 94. Suppose s - g + 13 - 46 = 0, n = s + 4*g. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (2 + -7 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 238, 477, 704, 913, 1098, 1253?\n\"Answer: -j**3 + 246*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 240 = -14*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*i + 25 = -15, -2*i - 3 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 98884\nAnswer: 1\/24721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, f: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1077*c**2 + 480*c wrt c.\nAnswer: 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9850, 57.\nAnswer: -9850, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -2, 0.2, 1121\/179, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i**3 + 0*i - 9*i**3 - 6 - 7*i**2 + 6*i. Let h be u(6). Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4\/3 - 160\/(-120).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9591.15 decades?\nAnswer: 95911.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 26. Suppose u*k + 5*g - 50 = 0, 148 = 4*k - 4*g + 2*g. Suppose 4*v - k = -v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 1:07 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 148. Let n = 80 - p. Suppose 7*o = n*o - 4. Which is bigger: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c*v**2 - 740*c*v - 405*c + v**2 + 32 wrt v?\nAnswer: -22*c*v - 740*c + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*sqrt(77)*-1 + 4*(sqrt(77) + (sqrt(77) - sqrt(77)*2)))\/((sqrt(77) - sqrt(77)*-2)\/sqrt(7) + sqrt(22)\/sqrt(2)*5).\nAnswer: 1 + 5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/7428?\nAnswer: 1\/7428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(9 - (-470)\/(-60))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**21*o*o*o**(-29)*o*o*(o\/((o*o**8)\/o))\/o*o**(-2\/13) assuming o is positive.\nAnswer: o**(-691\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166114 (base 8) to base 16.\nAnswer: -ec4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2 + 107*l**2 + 444*l**2 - 1 - 2. Let w be h(-1). Suppose -824 = -4*u - 2*z, 3*u - z = 63 + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.62 times 0.03?\nAnswer: -0.2586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 + -41.665\nAnswer: -42.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisjffffjjjsj. What is prob of sequence jffi?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/10)\/(d**(1\/5)\/d))\/(d**(-12)\/d)**(-9\/4))**(4\/17) assuming d is positive.\nAnswer: d**(-115\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*g - 5638 = 164*g + 4394 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose -12 = i*y - 2*o, -3*y = -0*o - o + 12. What are the prime factors of 19\/3 - y\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 3 + 18 = 0. Sort -17, 2, g in increasing order.\nAnswer: -17, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, j: 3}. What is prob of sequence uuu?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3\/5*b**3 + 12\/5 + 3*b**2 + 24\/5*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/64 and 87\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 158 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.5164826 and 0.0066987.\nAnswer: -4.5097839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 2*m**2 + 1 + 5*m**4 - m**4 + 3 - 6 to b*m**2 + v*m**3 + f*m**4 + h*m + y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t - 142*t + 45 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a - 2*a + 7 + 4*a**2 + 3*a**2. Suppose 0 = -s + 2*j - 2, -3*j - 30 = 5*s - s. Is 5 a factor of k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 468 = b - t, 2*t - 286 = 3*b. Let k = 97 + b. Let c(x) = -x**2 - 4*x + 14. Let g be c(-6). Solve -16 = -k*v + 2*j, -2*v = -v - g*j - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 237209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -826 + 5771\/7. Let p = -3551\/28 + 126. Let u = m - p. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 72. What is u(0)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33666020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 2. Let g be c(-9). What is the greatest common factor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 151.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 14*l**2 - 14*l - 19. Let o be c(13). Let g = -29 - o. Solve -9 = -g*x - 0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*796013.5\nAnswer: -79601.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -849*b + 50069. Give l(59).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -75.00057. Round f to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 33*h**2 - 1068*h - 168. Calculate o(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, r: 1, e: 3}. What is prob of sequence uu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1346 - -1346. Let l(h) be the second derivative of h - 16*h**2 + m + 8\/3*h**3 - 1\/6*h**4. Determine j, given that l(j) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*v - 0*y + 54, v - 2*y + 37 = 0. Let j = v - -46. Suppose z = w + 2*w - 28, -z + j = 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -2100?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 9 + 5*v + v**2 - 8 - 5 + 1. What is the derivative of j(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5130? (a) -3 (b) -1\/3 (c) -1 (d) -5 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 - 4 = -4*p, 3*m - 1 = 2*p. Which is greater: m or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/18 + (-2)\/6. Let h be (m\/(-6))\/(3\/16). Suppose -r + h = -8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2537456 take away 0.082?\nAnswer: -2537456.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 8. Calculate the smallest common multiple of 14 and o(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53696 is divided by 618?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84.009 - 84. Let s = -0.091 - o. What is the nearest to 2\/5 in 2, 6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.2 - -11.25. Let h = 4 + -4.25. Let o = h - v. Which is the third smallest value? (a) 5 (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -66. Let a = -14 + q. Solve c - 4*c = -a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-30)\/(-44) + -17*(-128)\/(-11968)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c. Let d(p) = p - 411355. What is d(w(s))?\nAnswer: -4*s - 411355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/4 + -17\/12. Let p = 1.1 + -6.1. Which is the nearest to -1\/3? (a) l (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19090 >= -11970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150525604.\nAnswer: 2, 37631401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588590 divided by 5?\nAnswer: -717718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3199468 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15813\/(-3795) - -4) + 40\/1100?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4187484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1048.711 from -297865.\nAnswer: -298913.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5696 - 85396\/15. Let q = s - 13\/5. Factor 1\/3*u**3 + 0*u**2 + 0 - q*u.\nAnswer: u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -11, -1, 14 in descending order.\nAnswer: 14, -1, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 33*c - 70. Solve c*h - 5 = -4*k, 0 = -4*k - 0*k + 4*h - 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1944 = -6*v - 12*v. Let u = v - -180. Calculate the greatest common factor of 96 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.98, 3, 0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8731.77 to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + 7304*t**4 - 4*t**3 + 21*t**2 - 68*t + 103 wrt t?\nAnswer: 120*t**2 + 175296*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -528, -504, -442, -324, -132, 152, 546, 1068?\n\"Answer: 3*a**3 + a**2 - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812 divided by -207.\nAnswer: 812\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 115, 12, -26 in increasing order.\nAnswer: -26, -5, 12, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 5635.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = -8, -3*k - 4*q + 68 = 0. Let f be -2 + 11*(-2 - -1). Let l = f + k. Is l 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 9381 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2815*a + 136219. What is r(-49)?\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let g(q) = -439*q**2 + 192*q - 8. Let y(m) = -146*m**2 + 72*m - 3. Let j(s) = -3*g(s) + 8*y(s). What is j(l(i))?\nAnswer: 149*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*v - 8*v**4 - 4*v**4 + 0*v**4 wrt v?\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 1, o: 2, f: 1, h: 1, n: 1}. What is prob of picking 1 j, 1 n, and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 30*b**2 + 33*b - 56. Let m(o) = 55*o**2 + 64*o - 113. Let n(c) = -4*m(c) + 7*u(c). Let n(w) = 0. What is w?\nAnswer: -4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.49 - 1.49. Which is the closest to o? (a) 1 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 314, 1197, 3014, 6101, 10794, 17429?\nAnswer: 26342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1319623943 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -134. Suppose 3*h - 107 = -2*l + 25, -2*l - 4*h = -128. What is the greatest common divisor of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(513\/(-45))\/((-54)\/60)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l. Let p(v) be the first derivative of 52*v**2 - 2*v + 2703. Determine z(p(a)).\nAnswer: -520*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -176463*x + 1235132. What is g(7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = r, 343 - 188 = 5*r + u. What is the highest common factor of r and 1252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/67? (a) 5 (b) 1\/8 (c) -16 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396139 is divided by 950?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12973 = 8*m - 6891. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arharoraaar. What is prob of picking 1 a, 1 h, and 1 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w - 15*w = -5016373. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 343*o - 7 + 4 - 346*o - 4*o**3. Let q(s) = -s - 1. Give m(u) - 3*q(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262900 is divided by 87630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 8 = -2*h. Let m be 3\/15 - (6 + 0 + 476\/(-70)). Sort m, 7, 5, h in decreasing order.\nAnswer: 7, 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**2 + 162*v + 658. List the prime factors of f(-4).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - u**2 - 2*u + 2. Let m be (30\/(-75))\/(8\/10)*-2. Let z be v(m). Let a(j) = j + 7. Calculate a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {v: 1, m: 11, f: 8}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 113*z**2 - 32*z + 31. What is o(1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 351456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7\/1 - (105 + -111) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 234? (a) 2 (b) 1\/80 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**6\/120 + 7*p**5\/60 - 3*p**4\/8 + p**2\/2 - 10*p. Let j(f) be the first derivative of y(f). Does 3 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -65*m**7\/14 - m**5\/60 - 95*m**4\/8 + 186*m**2. What is the third derivative of i(v) wrt v?\nAnswer: -23400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -7047789415557.\nAnswer: -7047789415556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.54054628 less than 0.1?\nAnswer: 242.64054628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -44346165.\nAnswer: 17738466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 16*w + 8. Suppose 5*q - 28 = -2*c, 4*c = -2*q + 6*c. Let f be a(q). What is the highest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**2 + 14*d - 14. Let t(f) = 2*f**2 - 3*f + 3. Let z(c) = 6*p(c) + 28*t(c). Let r(o) = -7*o**2. What is r(z(n))?\nAnswer: -112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**8\/560 - 7*t**6\/360 + 4*t**3 + 16. Let y(j) be the third derivative of d(j). What is the third derivative of y(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258 - 1803\/7. Let l(u) = u + 1. Let c be l(-6). Let r = -3 - c. What is the third biggest value in 3, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 6*2*sqrt(20) - 4*(sqrt(5) + -1 + -4).\nAnswer: 20 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*h = -341, 8*u + h - 920 = 3*u. Suppose 4*v - 21 = u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w - 25. Let d be h(-5). Let v(g) = 5*g + 65. Calculate the smallest common multiple of 18 and v(d).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/15850 and -43\/21392?\nAnswer: 169531600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*x + 23 - 3, 4 = -a - 4*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0103272 - 0.\nAnswer: -0.0103272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1\/((-1)\/25). Suppose 0 = -3*l + l + s. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 23 = -607. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from avvaaaaaavvavaaaaa.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 998*b - 5 + 5 - 642*b - 1 - 1 - 34*b**3.\nAnswer: -34*b**3 + 356*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 15*l**2 + 234*l + 216.\nAnswer: -3*(l - 12)*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 132*q**3 + 64*q**3 + 69*q**3 + 21 as a*q**3 + t + o*q + h*q**2 + f*q**4 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 4*q, u - 5*q = 10 + 11. Let k(m) = -m**2 + 4*m. Let f(z) = -5*z. What is u*f(a) - 5*k(a)?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.205 - -454.795. Let q = f - 454.99. Which is the closest to 2\/3? (a) 2 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, -1\/2, 1\/7, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/20 + (-2 - (-59)\/15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 13. Let h be m(7). Let y = 291 - 282. Suppose 6 = -q + 3*c, 4*q + 4*c - 8 = y*q. Sort -4, h, q.\nAnswer: -4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 444*(-61)\/732?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834466687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111829\/4 - -27820. Let q = t - -137. What is the biggest value in -0.4, q, -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 12439043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1671*h*o - 61826*h - 28*o wrt o?\nAnswer: -1671*h - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025838 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {k: 12, n: 2, p: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (2 - 44\/(-8)). Sort -5, 2, -0.2, o.\nAnswer: -5, -0.2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60, -101, -142, -183, -224, -265?\n\"Answer: -41*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -34. Let f = o - 38. Which is the second biggest value? (a) -1\/5 (b) f (c) -3 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -2, -0.4, 2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-4 + 5*c + 4).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/42*-3*(-98)\/112?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4\/3 + 52*a**3\/3 - 24*a**2 - 208*a\/3 + 224\/3 = 0.\nAnswer: -14, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 36 = m. What is the first derivative of 14*w + 43 - 63 + m wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -3060?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/12)*o**(-29))**(12\/7) assuming o is positive.\nAnswer: o**(-349\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6008225 and 73700?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 85 = -5*v, 3*v + 10 - 401 = -4*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:31 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, i: 6, w: 4, f: 1}. What is prob of picking 1 f and 1 w?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659209.\nAnswer: 487, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 + -71. Suppose 4*h = 4*z + 22 - 2, 2*h - 10 = 5*z. Suppose 4*t + 240 - 328 = z. What is the greatest common factor of t and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4096125 and 25942125?\nAnswer: 77826375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Find the third derivative of 3*t**s - 7*t**2 - t**5 + t**2 wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:26 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 4. Let j be g(3). Let m be -8*(4 + -11 + 6). Solve -4*h + s - 5 = m, j*h + 10 = 4*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8190 and 755690?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 917136 or 917211?\nAnswer: 917211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:25 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4\/3 (c) -0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 12*h + 55. Suppose 2*w + 3 = -h*i - 17, -w = 3*i + 12. Solve -5*l - 5*d = w, -4*d = 3*l - 0*d + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q - 1 + 1)*((-1 + 2 + 0)*(-30*q - 35*q - 332*q) - 2*q + 3*q + q) to the form p*q + c + d*q**2 and give d.\nAnswer: -3160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + -10. Does 9 divide (6 + w)*(-6)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + w + 43*w**3 - 2 - 5*w.\nAnswer: 43*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -200*n**3 - 2*n**2 - 3. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684) + 0.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3839 or 1\/7?\nAnswer: 3839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*u + 31 - 116 = 35*d + 357*u, -5*d + 5 = -5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 49 = -127 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -516 and 259778.\nAnswer: -134045448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2 + 174*g + 705 wrt g.\nAnswer: 8*g + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 2}. Give prob of picking 1 e and 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3097*0.5.\nAnswer: -0.15485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1464\/976)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5916 at most -41402\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14 = 2*y, 7 = -2*z + y + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 850 = 2922. What is the highest common factor of 37 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 35. Suppose -s*g = 9*g. Solve -9 = -g*t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022120 (base 3) to base 10.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -23. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 5*d - 4. Let f(u) = -2*u**3 - 7*u**2 + 11*u - 7. Let q(a) = -3*f(a) + 5*h(a). Let i be q(-8). What is i rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*t - 35059, 7480 = 4*t + 5*r - 27573. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2233 - 616 = -1873*a + 256*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/60 and -37\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 8705820 and 3287.\nAnswer: 8709107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 416002056.1999634 + -416002109. Let i = m - -52.8. Round i to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p - 10. Let y(w) = -4*w**2. Calculate x(y(z)).\nAnswer: -108*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/3, -2, -0.496, -3.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 43 = -4*p, -5*p + 430 = 3*h + 342 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-10))\/((-49)\/35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -15*s - 7*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4009 + 3929. Solve 0 = -4*g + 5*m - 4, 15*g - 20*g + l = 5*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3053 - 6?\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -2*x - v - 19, -50 = 2*x - 2*v. Let g = 46 + x. Suppose -g*q + 12*q + 35 = 0. Solve -4*z = 2*c - 20, -4*c - 2*z + 5*z = -q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 2, 0.2, 18, -23\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*j = 6*j + 2, -5*v - 2 = 4*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -14, 2, 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/154*-7 + 3\/(-2). Put o, -1\/9, 2\/5, 1.6 in descending order.\nAnswer: 1.6, 2\/5, -1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 44. Let k be x(-10). Suppose 0*h = -4*y - h + 340, -k*y = -2*h - 328. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -25. Sort 0.1, c, 5 in decreasing order.\nAnswer: 5, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k**3 + 1 + 26*k - 2*k**2 + 2*k**2 - 28*k to b + r*k**2 + x*k**3 + z*k and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -2\/211 (c) -1\/8 (d) 28 (e) 2\/7 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -446, -441, -436?\n\"Answer: 5*l - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 10, m: 3}. Give prob of sequence fmfm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2*-1)\/((-252)\/(-168))*8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -167, -5, -93 in decreasing order.\nAnswer: 1, -5, -93, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppdd when four letters picked without replacement from {p: 7, d: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + (sqrt(12)\/sqrt(100))**2 + 2 + sqrt(75).\nAnswer: -47\/25 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 235605?\nAnswer: 1413630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 580793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.226 times -1912.6\nAnswer: 432.2476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.472 * -2\nAnswer: -2.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2709788 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, 0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 69 (c) -5 (d) -3\/7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 5*x - 1. What is g(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:35 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/11, 2\/366003, 1\/12, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18857?\nAnswer: 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let v be q(4). Let a(o) = -43*o - 2. Let t be a(v). Suppose 0 = -2*c + p + t, -c - 3*c + 5*p = -340. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y**2 + 18*y + 163. Let q be x(11). Which is the closest to -4? (a) 4 (b) 2 (c) 0.2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*o - 100*o + 103*o + 231*o = 42845 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:28 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 111. Let c(y) = -15*y - 21. Let a(s) = 14*s + 22. Let o(m) = 3*a(m) + 4*c(m). What are the prime factors of o(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**8\/420 + o**6\/120 + o**3\/2 + o. Let f(b) be the second derivative of r(b). Find the third derivative of f(d) wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Suppose -5*k - 15 = 4*j, r*k - k - 3*j = 18. Let i be ((-1)\/k)\/((-2)\/4). Solve 5*o - i + 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -3 + ((-65)\/585)\/((-2)\/(-92)). Let l = 0.2 - -0.11. Which is the nearest to -0.2? (a) -4 (b) l (c) r (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2828857 and 32?\nAnswer: 2828857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*w)*(-172*w - 12 + 172*w - w**3).\nAnswer: -2*w**4 - 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 12)\/(7\/84*9). Let n(s) = -s**3 - 5*s**2 - 5*s. Let p(x) = x**2 + x. What is f*n(l) - 20*p(l)?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*c - 42. Let h be (1 + c)\/((-2)\/3*-3). What is the highest common factor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 155*f + 4 - 2 + 155*f to the form w + y*f + p*f**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46094871*z**3 + 316832*z**2 - 9*z - 2 wrt z?\nAnswer: 276569226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.1. Let j be (-34)\/4*12\/27. Let o = j + 71\/18. What is the smallest value in -1\/4, v, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/12360 and 13\/3360?\nAnswer: 346080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/24?\nAnswer: 13\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 + -8 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (465 - 919 + 454 + 2127*j**4)*(5*j + 5 - 5).\nAnswer: 10635*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8673 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 372 + -320. Let k(p) = -p**2 - 6*p + 2. Let a be k(-5). Suppose 40 = a*c - 51. What is the greatest common factor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a565 (base 13) to base 10\nAnswer: 251386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1 - 3)\/(-8)). Let t be (18\/(-21))\/(d\/56). Suppose -4*n - 128 + t = -4*i, 3*n = -4*i - 57. Is -23 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345630 divided by 615.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/3)*d*d)\/d**(-2\/11))**(-12) assuming d is positive.\nAnswer: d**(-332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, 5, 1\/165, 3, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, c: 3, t: 4, s: 1, n: 1}. Give prob of sequence ct.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 430*c**2 + 11*c**3 - 430*c**2 to f*c + t + r*c**3 + d*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7529, 0, -22 in decreasing order.\nAnswer: 0, -22, -7529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 316 = -j, 5*j = 2*z + 2308 - 836. Calculate the smallest common multiple of 407 and j.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 - a. Suppose -4*s = -9*s - 5. Let z be l(s). Solve 0 = -3*w + z*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 355, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 110 - 290 = -5*u, 4*u + 5*l = 173. Is u 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 + -517?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - -2)\/2)\/(-1). Let p be m\/(-3 + 1)*6. Let j = 43 - 32. Solve -v - 27 = 5*x - 10, 5*x + p*v = -j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**5 + 18*t**4 - 68*t**3 - 34*t**2 + 60*t + 16 = 0. Calculate t.\nAnswer: -4, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 32*o**2 + 110*o + 10. Calculate v(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 7. Let l be r(3). Let x(i) = i**2 - 12*i. Let o be x(12). Which is the nearest to o? (a) l (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 13 = 3*m, 0 = 1219*c - 1223*c + 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*d - 751, -2*t + d = 2*d - 489. Let r = t + -243. Solve 3*i + r + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1029392 (base 12) to base 9.\nAnswer: 5647862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 852\/(-84) + 2\/14. Let l(u) = u**2 + 12*u + 12. Let x be l(s). What are the prime factors of (3 + 15)*x\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11964305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c6d - 4300?\nAnswer: -2693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62302 - 87a?\nAnswer: 61644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -200222001222202 (base 3) to base 6\nAnswer: -1000010415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4548 = -13*k + 4327 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 355*b = 90*b + 5340 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/10 and -58\/603?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*c + 3*w + 12, -w = 0. Calculate the remainder when c\/5*(18\/1 + 7) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 99450 = 18*m. Let q = 679542\/41 - m. Calculate the common denominator of -6\/5 and q.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 9*m**2 + 752 - 745 + m + m**3. Let j be y(10). Let r = j - 124. Calculate the smallest common multiple of r and 161.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 2, q: 1, a: 6}. What is prob of sequence qtt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-22)*8\/(-2). What is the third derivative of 50*r**3 - 3 - 7*r**3 + 41*r**2 + l wrt r?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-9) - (-4)\/(-6). Solve 2*o - 2 = 0, -y*x + 6*x + 4 = -2*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36570*d**2 - 8777?\nAnswer: -73140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0625*2976.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -428*x + 80. Give b(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*b + 2 + 91*b - 2 + 115*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/5, 1\/24, -6, 4, -2\/11 in increasing order.\nAnswer: -10, -6, -2\/11, 1\/24, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*l = 10, 29 = 4*t + 2*l + 33 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0*r + r - 2*r - r**2 + 2. Suppose o - 2*a + 12 = 0, -a = 4*o - 3*o - 3. Let z be f(o). Solve 5*i + 3*x - 27 = 13, z = -5*i - 4*x + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 5:02 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -38*(-15)\/12*1520\/50. Suppose 2*p = 4*y + w, -220 = p + 4*y - 954. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1195 divided by -5\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*y - 279 = 2*y + 5*y - 7*y, -354 = -22*g + 4*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.3 + -8. Let j = -0.2 + y. Suppose 19 = -3*r - 2*q, 290 = -15*r + 11*r - 135*q. Which is the closest to -2? (a) -2\/9 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:20 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15561403*d**2*v**2 + 2*d*v**2 - 2925*d*v + 476*v**2 wrt d.\nAnswer: -31122806*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s + 45*s = -12, -t - 5*s + 503 = 0. What are the prime factors of t?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -9. Let w = 9 + 0. Let d(t) = 2*t**2 - 13*t - 3. Let x be d(w). Calculate the highest common factor of v and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66596 - ((16 - 8) + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5471538 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1024291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1403 + 1408. Solve -5*d + w*u - 13 = 7, 5*d - 2*u + 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 3 - -5) + 14\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22705940303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 21 = 3*s, 6*s - 3*s - 5*j = 29. Suppose -v + s*z = -6 - 16, 4*z + 66 = 5*v. Suppose 7*y - 18 = v*y. Is -7 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/6 - 3 - (-25918)\/(-5640). Let h = p - 48\/47. Find the common denominator of (1\/22)\/(2\/(-106)) and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 307. Let x(g) = -g**2 - 10. Let j be x(-5). Let o = 35 + j. Is b(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {d: 2, j: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - i - 33745, 77*y - 76*y - 3*i - 6763 = 0. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-10))\/((-992)\/2280 + 436\/12426).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 - 6*h. Let s be z(4). List the prime factors of (-129)\/(-12) + 14\/s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 = 4*y. Let n(j) = -j**2 + 7*j + 33. Calculate the remainder when 74 is divided by n(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*p - 40*p + 8*p**2 - 3*p**2 - 4*p**2 - 2 + 5*p**2 to j*p**2 + r + o*p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 156181, 29, -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - z**3 + (-1 + 4 - 5)*(5*z**3 - 4*z**3 - 3*z**3) - z - 24*z**3 + z)*(3 + 5 - 1).\nAnswer: -147*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(-a - 2*a + 4*a)*(-4 + 0 + 22) + (-1 - 1 + 0)*(-3*a + 0*a + 2*a) to the form t + n*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11105846 divided by -37\nAnswer: -300158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1433551472 + -4?\nAnswer: -1433551476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2803*j - 2792*j - 11. Which is the nearest to -108\/5? (a) -0.5 (b) j (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -339, -1217, -2689, -4761, -7439, -10729, -14637, -19169?\n\"Answer: -d**3 - 291*d**2 + 2*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l - 4. Let n = 0 + l. Let q(t) be the third derivative of t**4\/8 - 7*t**2. Give q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 614*s**2\/7 - 6688*s + 6776.\nAnswer: -2*(s - 1)*(s + 154)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**4\/4 - 2*v**3\/3 - 3*v**2\/2 - 4*v - 6. Give b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 - -25)*(-1)\/6*-2. Solve h = 4*h + l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -7 - (0 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 1 - 4*u + 9*u. Let f(x) = -x + 7. Let g be f(5). Let d be t(g). Is -1\/5 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 51\/56?\nAnswer: 51\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -175*o**2 + 16*o - 154. Let r(g) = 262*g**2 - 22*g + 231. Let c(h) = -5*r(h) - 7*y(h). What is the second derivative of c(w) wrt w?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 36*o**2 - 683*o - 3433. Calculate u(-5).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*h - 434*h - 201*h + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -34) + -12 + -1 + 0 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -40959*d + 450567. What is y(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2019*d**5 + 2422*d**5 - 4035*d**5 + (-4*d**4 + 5*d**4 + 0*d**4)*(d + 4 - 4).\nAnswer: 407*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*c + 3643*c + 1084*c - 289*c.\nAnswer: 5034*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 39 + 61. Suppose -s - 2*s - l = -6, 0 = -5*s + l + t. Solve -4*u - 5*f + 9 = 0, -5*f + 2 = -u - s*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1489, -3122, -4875, -6748, -8741, -10854, -13087?\nAnswer: -15440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**37\/k*k)\/k*k**(2\/65))\/(k**(-2\/3))**(2\/53))**(-42) assuming k is positive.\nAnswer: k**(-5216932\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 161 = m. Suppose 1 = -4*c - m. Let r be ((-4)\/2)\/((-15)\/c - 3). Solve 5*d = r*s - 25, s - d - 26 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g, -4*q + 5*g = -3*q - 142 + 152 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3913\/26*(-456)\/(-14). Solve -2513*w - v*w - 312*w**2 - 70304 - 697*w - w**3 - 3*w**3 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*s + 4 + 4, -4*y - s = -4. Let i(a) = -9*a**2 + y*a**2 + 7*a**2. Let f(c) be the first derivative of -3*c**2\/2 - 1. Give i(f(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4553 (base 7) to base 16\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 922992 by -134.\nAnswer: -6888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/23659 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.8, -0.4, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.652 - -0.062. Let v = -0.09 - r. Let i = v + -3. Which is the second biggest value? (a) 0.1 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 31*n**2 - 14*n - 490. Calculate a(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3707726458.\nAnswer: 2, 22943, 80803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7133*i**2. Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 588\/735*10\/(-26).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 573590*t. Let b(k) = -2*k. Determine d(b(p)).\nAnswer: -1147180*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1958*c + 517. Is 26 a factor of n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3795*50.1\nAnswer: -19.01295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 + 104550*j + 15222825 = 0.\nAnswer: -145, 34995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 266.3471 years?\nAnswer: 3196.1652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2995, -5, -6, 198 in descending order.\nAnswer: 2995, 198, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 3. Put n, 10, 5 in increasing order.\nAnswer: n, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*a + 22 = 3*z, 5*z = -3*a + 46. Let u(r) = -r**2 - 9*r - 3. Let k be u(-8). Suppose -z*i = -13*i - k. Is i >= -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (41 - 3\/(-1)) + -1 + 2. Suppose -j*u + 4 = 4. Solve u = -f + 4*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by (-120)\/(-20) + 230\/(-35) + 9592\/28?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/257571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6 + 1 + 6*w + 0. Let y(n) = -5*n + 6. Let o(c) = -6*x(c) - 7*y(c). What is o(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18098\/22051 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyz when three letters picked without replacement from {y: 2, g: 2, h: 3, c: 1, z: 1, f: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1430*k**2 + 29*k + 268. Let d be v(-12). Round d to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - 0.635. Round i to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 51\/2. Let t = 0.2 + 0. Which is the closest to t? (a) 0 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 5. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2449 - 3214. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4284 - -7038. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/2)\/v**(-7))\/(v**1)**(-46))**28)**(-23) assuming v is positive.\nAnswer: v**(-34454)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/5 in 1\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252895 and 19240.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m + 67. Give g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2431*d = 2426*d - 4*r + 3, 2*r - 24 = 2*d. Sort 227, d, 3, -12.\nAnswer: -12, d, 3, 227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**2)**(-44))**(-28\/5))**24)**(-2\/11) assuming i is positive.\nAnswer: i**(5376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/21 - l**5\/5 + 13*l**2. Find the third derivative of i(v) wrt v.\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16889305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -j + 83 + 38, -19 = -w - 4*j. Which is smaller: w or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:24 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, 1 g, and 1 f when four letters picked without replacement from ggfffagmmfmmw.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15923, -16399, -17189, -18293, -19711?\nAnswer: -21443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -14\/5*x**2 + 0 - 4\/5*x - 2*x**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 2160, 4887, 8712, 13635, 19656, 26775?\nAnswer: 34992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 0.391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22976 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 13*b**2 - 2*b**3 + 2*b + 0*b to g + y*b**3 + w*b**2 + s*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 47. Let g(o) = o**3 - 10*o**2 - 20*o + 101. Let n be g(11). Solve t*f = -n*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.435187l in millilitres?\nAnswer: 7435.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -61095 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*(h\/(h\/h**2)*h)\/h)\/h*h*h**(-5)*h*(h**0\/h)**(-50) assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*u**3*v**3*w + 4688415*u**3*v**2*w + u**3*v**2 + 3*u**2*v**2*w - 42794*u*v**3 wrt v.\nAnswer: 852*u**3*w - 256764*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 109 + 5\/30*6. Find the third derivative of 57*q + 222*q**3 + 2*q**2 - 20*q - y*q**3 wrt q.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from sudyvyyuyuyvvdyvu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k + 19*k + 18*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2048, -2922, -3758, -4538, -5244, -5858?\nAnswer: -6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 33. Calculate the lowest common multiple of i and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/16 + (-62)\/8. Let a = t + 12. Suppose 5*n - 22 = z + 2*z, -z + 4 = a*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -983, 2, 0.5?\nAnswer: -983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 26 - 16 = 4*t, 5*t - w + 47 = 0. Let i = 12 + t. Suppose -i*c = -19 - 2. Solve 3*q = -c - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533964 - 643869\nAnswer: -109905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*i + 136*i + 467*i - 5928 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22554 is divided by 7511.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 15) to base 4\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 16*s + 403 = 2*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433936560 to the nearest integer?\nAnswer: 20831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/12 + -23\/4. Let g = -1 + 0.9. Is t greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 1, l: 2}. What is prob of picking 2 l and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 855*g - 4759. Determine r(-433).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23678, -23691, -23714, -23747, -23790, -23843?\nAnswer: -23906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 47 + 5*z + (1 + 2 - 1)*(-2*z - 1 + 1) + (-76 - 266 + 617)*(-4*z + 4*z + 2*z).\nAnswer: 551*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/1)\/(4 - 2). Let -82*u + 8*u - 27*u**2 - x*u**2 + 30 - 21*u = 0. What is u?\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1686? (a) -0.4 (b) 2\/11 (c) 184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -621 - -1600. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216732*y**4 + 54141?\nAnswer: -866928*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5196 - 5192. Which is the third biggest value? (a) -1\/4 (b) -9 (c) o (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*v**3*y**3 - 72*v**3*y + 2*v**3 - 27*v*y**4 + v*y**2 + 5*y**2 wrt y?\nAnswer: -114*v**3 - 648*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 297160254 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -442*i**3 - 3*i**2 + 6*i + 34348.\nAnswer: -1326*i**2 - 6*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 29*g - 63 as j*g + x and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - 25 - 0 - (4668 - 4657)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 1863748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1346536 by 4.\nAnswer: -336634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/18 - 7\/18. Which is the third biggest value? (a) s (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 + 5*z**2 + 5*z + 5. Let s(p) = -10*p**3 + 7*p**2 + 7*p + 7. Determine 7*g(h) - 5*s(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 6, n: 2, o: 1, b: 1}. What is prob of picking 1 l, 1 r, and 1 n?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381085484 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*a - 120 = 0, 3*a = 4*s + 2*a - 137. Suppose 2*c - s = -9. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3 + i - 1)*(5*i**2 - 105*i + 105*i).\nAnswer: 5*i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w - 4. Let x(u) = u**3 - 8*u**2 + 18*u - 20. Let b be x(5). Determine f(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80) + (sqrt(80) - -6*(sqrt(80) - -2*sqrt(80) - sqrt(80))))\/sqrt(8))\/(sqrt(14)\/(sqrt(196)\/sqrt(7))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 548 - 547.99237. Round k to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 3 + 36 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 3, -0.028, 0.5, 9, 5 in decreasing order.\nAnswer: 9, 5, 3, 0.5, -0.028, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 - 472*u - 91840\/3.\nAnswer: 4*(u - 410)*(u + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (425*z - 1338065 + 1338065)*(-z + 2 - 2) in the form k + p*z**2 + s*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12 - 10*u - 4 + 8*u. Calculate m(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 758836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8*p**3 - 6*p**3 - 4 + 26*p**2 - 6*p**2 in the form c*p**2 + q*p**3 + m + s*p and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/2 (b) -0.02 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 22.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204710299.4 - 204710395.3999773. Let n = -96 - g. Round n to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8086 and -8360 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lond when four letters picked without replacement from {l: 2, o: 4, n: 11, d: 2}.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242946, -242151, -241356, -240561?\nAnswer: -239766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (-116)\/6. Let c = 102 - 72. What is the greatest common divisor of c and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 13 = -2*h. Let l(b) = -2*b**2 + b**2 - 2*b**2 + 6*b**h. Let q(f) = 7*f + f - 6*f. Give l(q(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**4 - 2*b**3 - 2*b**2 - 53016*b + 5644186?\nAnswer: 16*b**3 - 6*b**2 - 4*b - 53016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1. Let a(n) = -2*n**2 - 5. Suppose 26*d + 48 = -22*d. Calculate d*a(j) - 3*s(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 111. Suppose 0 = -4*w + 17 - u. Let 27*p**2 - 33*p + 6*p**3 - 9*p**w - 9*p**3 + 18 = 0. Calculate p.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9220296 + -3104296. What is k rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2743, -2983, -3223, -3463?\n\"Answer: -240*b - 2503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*a + 35 = 0, -5*a - 43236 + 43229 = -p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4 + 54*y**3\/5 + 18*y**2 + 58*y\/5 + 12\/5 = 0.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 10. Let u = -8 - -13. Let n be w(u). Solve 3*x - a = 5, 2*a = -10*x + n*x + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-120))\/((-336)\/1344)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 11) to base 9\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:09 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157459387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/390*276\/345?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7449 + -7448.994408. Round u to five decimal places.\nAnswer: 0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449308613 to the power of 1\/3, to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4\/5, -0.1, -0.2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psssaasbabap. What is prob of sequence sb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -344, -349, -354?\n\"Answer: -5*y - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.42 + -16.22. What is the nearest to 11 in 5\/6, u, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1241?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j - 22. Let i(s) = -3*s - 34. Let o be i(j). List the prime factors of ((-3)\/(-2))\/(o\/(-30)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j + 16. Let x be u(0). Solve y - 15 = -3*c, -6 + x = 2*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 1, u: 1, f: 3}. Give prob of picking 1 s and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 27*k - 108. Let y(u) = -3*u - 12. Let m(q) = 2*a(q) - 18*y(q). Let c(o) = -9*o**2 - 4*o**2 - 2*o**2. What is c(m(d))?\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/1 + 0\/(-2). Suppose -3*b + 93 = 3*q, b - 4 = q + 23. Let p = b + f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 161. Suppose -h + 9 + 21 = -2*c, -2*h - 5*c = -r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(17) - sqrt(51)\/sqrt(3)) + sqrt(17) - (sqrt(17) + (0 + sqrt(17))*-6))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/15 and ((-20)\/(-8) - 0)*26\/(-33).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 1 (c) 0.5443 (d) -1\/8256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482694.\nAnswer: 2, 3, 80449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose 0 = -3*j - j - 2*l + 48, 5*l = -z*j + 40. List the prime factors of 10\/(-25) - (-24)\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*u + 4*q - 1, -26 = 2*u + 4*q. Let l be (-47)\/u + (-76)\/18 + 4. Suppose 3*h + 4*x + 8 - 97 = 0, 2*h = l*x + 90. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -12*w + 2*w**2 + 1\/10*w**5 + 0*w**4 - 1\/6*w**3 + 0. Let g(k) = k**3 + 1. Determine 3*g(l) - x(l).\nAnswer: l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o + 4*o + (-2 - 2*o + 2)*(192 - 108 + 218).\nAnswer: -602*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + 16*k**2 - 4*k - 5. Let i be b(5). Solve -5*w - 5 + i = 0, -3*y + 5*w = 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7888196 - -5.48882. Let v = -181 - -180.7. Let m = v - j. What is m rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31\/315 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(8\/3)\/l)))\/(l**2*l))**(-35) assuming l is positive.\nAnswer: l**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))**39*y**(2\/47)\/y**(2\/9) assuming y is positive.\nAnswer: y**(65912\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9071902 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3962*i + 241687. What is o(-61)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/n**(1\/4))\/n)*n**(5\/2))\/(((n\/n**(-7))\/n)\/n**(-7)))**(-19))**(-45) assuming n is positive.\nAnswer: n**(-35055\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 6, -25, -68, -123, -190, -269?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-1 - 1 + 1)*(-691*h - 3379*h + 1355*h) to the form b*h + a and give b.\nAnswer: 5430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156)*-3)\/sqrt(4)*-6)\/(((sqrt(240) - 1*sqrt(240) - sqrt(240))\/sqrt(8))\/(sqrt(10)*-2*-3)).\nAnswer: 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 53*y + 1. Let t be c(1). Let w be 18\/(-3)*-1*1. Calculate the greatest common divisor of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from jvuuvnunnvvuvv?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 954 = -1182 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4694 rounded to 2 dps?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2499)\/1176*8\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 34*c - 103. Let x(h) = 3*h - 95. Let q be x(33). Is a(q) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + 1.72. Let f = g - 0.07. Which is the closest to 0? (a) 0.3 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*l + 94*l - 184*l + 22 + (-1 - 2 + 1)*(0 + 0 - l).\nAnswer: 3*l + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 1. Let b be 214\/8 + 5\/20. Suppose -3*v + 6 = 0, -v = 5*d - 2*v + b. Give l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(10))**2 + -2 + ((3*sqrt(1584))**2 - sqrt(11)) + -2.\nAnswer: -sqrt(11) + 14263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12468 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 11*l**2 + 9*l - 8. Let d be j(-10). Suppose -5*c + 15 = 0, c + 491 = 4*w - d*c. Is 4*3\/(-6) + w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c - 124. What is b(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -221399 and -5.\nAnswer: 1106995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 230638. Suppose 3*z - 461276 = 4*s, 4*z - v = -s + 3*s. Let n = s + 52319. Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -360*w - 34806. What is l(-97)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.4 * -91275.\nAnswer: -8525085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/2 - 934*m**3 - 1237*m**2\/2 + 2176*m - 622 = 0. Calculate m.\nAnswer: -622, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*m + 1111 = 325. Let f be 2\/(3\/((-15)\/(-2))). Solve -9 = f*w + m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8912.43 millilitres?\nAnswer: 8.91243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -44, -85, -138, -203, -280?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 minus 18534.271?\nAnswer: -18534.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r - 2. Let y be k(8). Suppose -16*u + 14*u = -y. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1748333?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.797758485 to 4 decimal places.\nAnswer: 0.7978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 + 34*d**2 + 597*d + 4222. Calculate b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 8*n - 5*j = 14, 0 = j + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.36 and 485491.\nAnswer: 485490.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvuvuuvvuv. Give prob of sequence uv.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -3 + -3 + sqrt(325) - sqrt(325))*5)**2 - (4 + sqrt(26)\/sqrt(32) + 3).\nAnswer: -6001*sqrt(13)\/4 + 9018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*q**3 - 8305*q**2 + 52325*q - 8490.\nAnswer: -5*(q - 6)*(q + 283)*(6*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1172835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wggwwgwgwwwwwg. What is prob of sequence wg?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -23) + ((-4374)\/1224)\/(1\/4).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 6, 18, -3\/8, 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 2*p - 2*p)*(7528 - 2210 + 3167).\nAnswer: 42425*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2946*a - 9*a**2 - 2947*a - 2*a**2 + 5893*a.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h**5 + 7*h**4 - 4*h**2 - 5 wrt h.\nAnswer: 720*h**2 + 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105 + 35 - -34) + 18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -13820.9 and 2.\nAnswer: -13818.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 18*q - 100. Let a be b(-6). Put -5, 1, a, 3 in descending order.\nAnswer: 3, 1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2115*m**3 + 432*m**3 + 429*m**3 + 430*m**3 + 438*m**3 + 387*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 23 = -3*x, 3*x + 0*x - 25 = -5*p. Let i(j) = j**2 - j + 3. Let r be i(3). Let v = r - x. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 6. Let t be (-2)\/(-30)*6\/m. What is the closest to -1 in 5, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**3\/6 + 38*q. Let o(y) = -3*y. Determine j(o(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5182 in 2\/7, 0.1, -3\/4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5.9 (b) -4\/9 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 647.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-294)*(-168)\/112?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 3, e: 2, n: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = -2*s + 7*s, 19 = -s + 5*x. What are the prime factors of 62*(1\/s)\/((-9)\/(-189))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 6*l - 46. Solve 2*k = -5*i - l, 2*k = -2*i - k + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3536131 (base 9) in base 11?\nAnswer: -10978a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*l - 58 = 1121*l - 58 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 2075*z**2 + 61280*z.\nAnswer: 5*z*(z + 32)*(z + 383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60, 0.4, -1\/52?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**3 - 4*c**2 - 2. Let r(i) = 6*i**3 - 6*i**2 - i - 4. Give 2*r(w) - 3*t(w).\nAnswer: -6*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 341\/(-8*429\/(-312))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -21*m**2 - 228*m - 19. Let b(f) = 10*f**2 + 108*f + 9. Let v(o) = -38*b(o) - 18*t(o). Let i(y) = 2*y - 1526. Calculate i(v(s)).\nAnswer: -4*s**2 - 1526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10122757 less than -10122757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11034*i**3*u**2 + 2*i**3*u + i**3 - 1720*i**2 + 3*i*u**2 - i + 97 with respect to u.\nAnswer: -22068*i**3*u + 2*i**3 + 6*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011100010000 + -1011111100000?\nAnswer: -1010111011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jlj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2918 divide 875837700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 24. Let y be u(16). Let f(p) = 2*p - 13. Let k be f(y). Suppose 5*i = 0, 4*i + i + 32 = 4*r. Solve 5*h - k = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/9, -2\/9, 38, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9*(-18)\/(-4). Let j be 16*-7*(-3)\/g. Let w = j - -119. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 26. Suppose -5*d + 0*h + x = -h, -d = -2*h - 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.5576ml in litres?\nAnswer: 0.0615576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177204 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**2. Let r(u) = -12*u. Give f(r(t)).\nAnswer: -2448*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3 - 6*u**3 - 5*u**2 + 3*u**3 - u. What is the tens digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 200210003?\nAnswer: 200210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - r + 1 + 4*r)*(415638 - 202851 - 190514) in the form n + v*r and give v.\nAnswer: 44546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Suppose 107 = n*w - 5*a, 2*a + 3*a - 38 = -2*w. Suppose 0 = 2*v + 3*t - 11, -2 = v - t + 5*t. Calculate the remainder when w is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*f - 2*f + 10749. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -8 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 2:10 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 1005588 = 56*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 4) + 3 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1674619 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y + 2. Let v(o) = -9 - 317*o - 266*o - 375*o - 144 - 334*o. Calculate -4*v(r) - 306*x(r).\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-5*(sqrt(3) + -1)*4 - (sqrt(24)\/(5*sqrt(32)) + 5))*-3.\nAnswer: -7209*sqrt(3)\/5 + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936261 is divided by 2330?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-8664)\/3610)\/(12\/20*(-56)\/(-12))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959715 a multiple of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9853085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*r + 13 + 107*r - 33*r + 18*r**2 - 37*r to a*r**2 + l*r + j and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(40*o + 50*o - 28*o).\nAnswer: 186*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-10))\/(33 + 33150\/(-1000)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1096538 (base 12) to base 2\nAnswer: -1100001001010001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 180. Suppose -3*k - 42 = -30. Sort 3, k, b, 5 in increasing order.\nAnswer: k, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 261*h*r**2 + 2*r**2 + 7 wrt h?\nAnswer: 261*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2299.1 - 2299. Let z = 1.4 - 1. What is the second biggest value in z, f, 5\/3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-7) - 56\/(-49). Solve 4*f + 3*o = -5, -o + 20 = y*f - 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 2*w + w + w**3 + w to c + k*w**2 + j*w + g*w**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28)\/sqrt(4))**2 + -1*sqrt(7)*-2.\nAnswer: 2*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86845)\/(-23685))\/(393\/21*(-154)\/(-12)).\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 39993*r - 23. Let j(u) = 19997*u - 11. Let h(o) = 9*j(o) - 4*y(o). Let i be h(7). What is i rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2897451*-19.\nAnswer: -5.5051569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*10)\/(-258*(-255)\/(-918)).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1600\/(-1280))\/(42\/160 - (-2)\/(-10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 plus -1?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190116119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*(-20)\/(-10). Suppose -3*c + 2*g + 304 = 0, -g - 190 = -f*c - 6*g. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4315 and 35?\nAnswer: 30205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 576 - 132147.133\nAnswer: -131571.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254 + 377?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 176548897 divided by -7\nAnswer: -25221271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 48.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 2 + 2)*(-4*x + 3*x - x) + 30*x**5 + 64*x**5 - 14*x**5.\nAnswer: 76*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 797 = 247. Let c be ((-5)\/6)\/(145\/u). Factor 0 + c*j**3 + 1\/2*j**4 + 3\/2*j**2 + 1\/2*j.\nAnswer: j*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3329 - -3386) + -2 + 0 + 0 + 0 + -6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8 = 3*l. Let n be 1 + (2 - l\/4). Solve 3*b = 3, 2 + 0 = f - n*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301.247 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - -2. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**6*r)\/r)\/((r\/(r**(-9)*r*r))\/r)*r**(-2\/9)\/(r**(2\/9)*r) assuming r is positive.\nAnswer: r**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)\/(x**(-9)*x*x*x)*x**(-2\/7)\/(x*x\/((x*x**(-3)*x)\/x)*x*x*x) assuming x is positive.\nAnswer: x**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-36)\/(-21). Let u = 5 + -3. Suppose -3*d = -5*c + 59, m*c = -c - u*d + 24. What is the greatest common divisor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2623553 and 1475.\nAnswer: 65588825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 394994\nAnswer: 789988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + b - 1. Let c(y) = y**2 + 1. Let k(v) = -5*c(v) - z(v). Let i(x) = x + 12. Let r be i(-12). Suppose -5*d + 7*d = r. Give k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/3)*c*c*c**(1\/5)\/c*c**(-1\/3)\/c*c\/(c**(1\/19)\/c)*c assuming c is positive.\nAnswer: c**(992\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/90 + o**4\/18 + 8*o**3\/9 + 7*o**2 + 3. What is r in q(r) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 27850703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13054073*t**2 - 67604393*t wrt t.\nAnswer: 26108146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332926726 a multiple of 7576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d - 27 - 1\/30*d**5 + 0*d**4. Determine u so that g(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -190*x**2 + 137. Let n(g) = 1294*g**2. Calculate z(n(l)).\nAnswer: -318142840*l**4 + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -104. Suppose -q - g + 10 = 0, a = -q + 3*q - g. Suppose 0 = -x - 5*d - 20, 0*d = -3*x - 3*d. Solve z - x*z + q = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -63\/683 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -945 (base 14) in base 8?\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23817167 and 9976.2.\nAnswer: 23827143.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364\/(-3185)*10\/(-16).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/10)\/((-2)\/10). Suppose -3*m + 5*x = 53, -m + d*m + 2*x = -36. Let z(n) = 2*n**2 + 49*n - 59. What is the remainder when 55 is divided by z(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/214650 and -151\/27666.\nAnswer: 6224850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00303951099 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 825.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-11)\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -3*v - 2, 4*r + 8 = -4*v. Let y = 9 + -3. Let w be (-14)\/(-4)*2\/y. Is v <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1845989 smaller than -1846095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011617 rounded to five decimal places?\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231 + 15353?\nAnswer: 15122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*w - 39*w = -56*w + 4128 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcccccccccjcc. What is prob of sequence jcc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*d - 5*d. Let k(m) be the second derivative of -m**5\/20 + 11*m**4\/12 - 5*m**3\/3 + m**2\/2 + 3*m. Let f be k(d). Which is smaller: 1\/2 or f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49923015773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*l - 0*m + 1, 4*l + 9 = -5*m. Let b = 51 + -49. What is the third smallest value in b, l, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**3\/3 + m**2 - 56*m. Let d(c) = -3*c - 6. Let x(z) = 3*z + 1. Let r(n) = -d(n) - 2*x(n). Give 5*b(i) - 3*r(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131, -355, -723, -1229, -1867?\n\"Answer: v**3 - 78*v**2 + 3*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/2)*o**(-2)*((o**7\/o)\/o)\/o**(-12) assuming o is positive.\nAnswer: o**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7\/3, 0.1246, 3, 1, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 27*t**7\/14 - 40*t**4\/3 + 114*t + 2. What is the third derivative of f(g) wrt g?\nAnswer: 4860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 5*s**2 + 1. Let d be f(-5). Let t be (2 - d)*9 - 1. Let k = 21 - 16. Solve k*a + 2 = -t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 29. What is the smallest value in 1, s, 0.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 8081682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m + 9. Let d = m + 25. Suppose 5*l = 32 + 38. Calculate the least common multiple of d and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**1\/o))**(2\/33)\/((o**2*o)\/(o*(o\/o**(-4))\/o)) assuming o is positive.\nAnswer: o**(68\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279\/28 - 68\/7. What is the biggest value in v, 3\/8, -1\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + o + 765 = 0, -5*s - 3*o - 1020 = -s. Let i = -371 - s. Let c = i + 116. Solve -4*t + 2 + 6 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168\/5 + -1196\/35. Let p = -37 - -40. Let f = -2526 + 2531. What is the nearest to -0.27 in p, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/3 (c) 1766 (d) -4521 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10150336 divided by -1141?\nAnswer: 8896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2210716, -4421433, -6632150, -8842867, -11053584?\nAnswer: -13264301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11585, -41062, -90189, -158966, -247393, -355470, -483197?\nAnswer: -630574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3 - 4. Let r be 0\/(4 + k - 1). Solve r = 2*b + 3*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 1*28\/(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u - 14. Let i = u - 6. What is the second derivative of -i + 3*d + 5 - 2*d**2 - 4 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4753*f + 2. Let w(r) = 56902898*r - 23945. Calculate -23945*o(a) - 2*w(a).\nAnswer: 4789*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-160)\/(-50) - 12\/(-15). Let w(q) be the third derivative of 0*q + 5*q**2 - 1\/60*q**5 + 1\/3*q**3 + 1\/4*q**p + 0. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 168. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g. What is the tens digit of g + 19 + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212210021 - -1112?\nAnswer: -212201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2. Suppose 4*u - 5*z - 35 = 0, -4*z + 7*z + 21 = 0. Let o(h) be the third derivative of 0*h**3 + 1\/6*h**4 + 24*h**2 + 0 + u*h. What is o(s(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 3 + 3)*(-5 + w + 5) + 16*w - 17*w - 43*w**2 + 4*w**2 in the form y + h*w + q*w**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 3. Let l be r(-2). Let c be ((-18)\/21)\/(l\/7). Let u(i) = 4*i + 7. Calculate u(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from qqcococooosscoqooosc.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10302)\/(-238) - 39)\/(34\/(-28) + 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-3*2 - sqrt(1053)) + sqrt(1053))**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003751 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -17*o + 703. Calculate the lowest common multiple of 513 and l(-19).\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, -4\/5, -7, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, 2\/5, -4\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102 (base 3) to base 13.\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 28.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1867 + 0.2133. Let i = 22 - 31. Let u = i + 8.87. Which is the biggest value? (a) 0.3 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l + 0*l)*(l**2 + 5*l**3 - 14*l**3 + 3*l + 7*l**3) to u*l**3 + k*l + a*l**4 + p + z*l**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-4)\/(-6). Suppose m = -4*x + o + 62, 0*x + 4*x - 60 = 2*o. Let w be 4\/x + 17\/(-4). Is w less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1355, 12930, 45833, 111206, 220191, 383930, 613565?\nAnswer: 920238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.18 and -257.\nAnswer: 817.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 540139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.72, -7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 2*a - 83. Calculate h(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314095515 by -5.\nAnswer: -62819103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 533 + -531.3. Which is the closest to -2? (a) 0.2 (b) -1\/10 (c) w (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*k - 5, 0 = -3*k + 3*x - 3 - 6. Let j be 1\/(k*2\/12). Let i = 12 + j. Calculate the lowest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 22 = 17*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = v - 26, 0 = -6915*v + 6918*v + 4*a - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023007006 rounded to seven decimal places?\nAnswer: -0.0002301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2475058.95s?\nAnswer: 4.092359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 223721?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.59 - 0.11. Let d = m - -4.7. What is the nearest to 2\/7 in 0.1, d, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9345 and 137.\nAnswer: -9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**4 + 492*g - 5408 wrt g.\nAnswer: -28*g**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1091 - -1098 - (0 + -3 - (1 + 89)))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 12*z**3 - 44*z - 30.\nAnswer: -2*(z - 5)*(z - 3)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15773, -31535, -47297, -63059, -78821?\nAnswer: -94583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 7\/6 (c) 12 (d) 1\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39037269.1 to the nearest 1000.\nAnswer: 39037000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25*d - 128. Let b be p(6). Suppose -b = -c - 18. Solve 6 = c*r - 2, -5*r = -4*z - 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140342670 by 3042.\nAnswer: -46135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/15*d + 8\/5 - 2\/15*d**2.\nAnswer: -2*(d - 6)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551045?\nAnswer: 3, 5, 53, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = -15*z + 19*z + 225 - 51, -3*w - 11 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1052, 4153, 9320, 16553, 25852?\n\"Answer: 1033*x**2 + 2*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/18675300 and 113\/84.\nAnswer: 18675300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796516891?\nAnswer: 13, 619, 223253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112020220111 + 212022?\nAnswer: -112020001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 - 3.42. What is the smallest value in 2\/21, d, -0.2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -896721*b**4 - b**3 + b**2 - 1159413*b wrt b.\nAnswer: -10760652*b**2 - 6*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32828 or 32826?\nAnswer: 32826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 12 + 50*m**2 - 41 + 12 - 48*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6 + 13\/117 + 321\/(-297). Sort 1, w, 3\/8 in ascending order.\nAnswer: w, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422 + 491. Calculate the remainder when q is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -168757*g**2 - 5*g - 10. Let c(j) = j**2 + 1. Let k(b) = 6*c(b) + i(b). Let u be k(-4). What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 535505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z**(-4)\/z*(z**(3\/7)*z)\/z*z**4 assuming z is positive.\nAnswer: z**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -664, 5 in descending order.\nAnswer: 5, 4, -664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/65 (c) -0.3 (d) -3 (e) 0 (f) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from ekebnubupnbn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 129, 164, 223, 312?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*v + 293 = -151. What is the fourth biggest value in 1\/3, 21, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*i**4\/7 + 5381*i**3\/7 - 4479*i**2\/7 - 128*i = 0. Calculate i.\nAnswer: -1\/6, 0, 1, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30180 + 73301. What are the prime factors of z?\nAnswer: 13, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.039 to zero decimal places.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 14*a + 9. Is c(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 67 = -6*v. Suppose 6*t = v*t - 13610. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let f(m) = -525*m**3 - 11*m**2 - 21*m - 3. Let y be f(-2). Let q(b) = 2131*b - y*b + 2281*b. Determine z(q(i)).\nAnswer: 94178*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -14*x + 474*x**4 - 3*x - 473*x**4. Let j(o) = -4*o - 2*o + 9*o - 5*o. What is m(j(f))?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 13*m - 13. Suppose -2*n - 2*z = -18, 5*n - 195*z - 57 = -196*z. Give q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/22)\/((-4)\/22800). Calculate the highest common divisor of 300 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 209. Suppose 3*h + 14 - u = 0. Solve -h*v + 20 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3044048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 140 - 128 = 0. Calculate the common denominator of 25\/7 + (-2)\/3 and z - ((-16)\/72)\/((-12)\/(-657)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 575\/18 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + r**3 + 2*r**2 + 2*r - 2*r**3 + 2*r**4 + 6 to the form k*r**3 + w + h*r**2 + b*r**4 + c*r and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11531*l - 154919 = -856700 - 317457 + 39103 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/167085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9937457?\nAnswer: 41, 242377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - a**2 + 314*a + 45. What are the prime factors of k(16)?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 323*m + 649. Let f be k(-2). Suppose 8\/3*w - 8\/3*w**2 + 2\/3*w**f + 0 = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -22\/3, -0.1 in descending order.\nAnswer: -0.1, -0.4, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpkvkdvdpddpmp. Give prob of picking 1 j and 1 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*x = 177*x + 195*x + 32. Let b(p) be the first derivative of 4\/9*p**x + 4\/45*p**5 + 13 - 4\/27*p**3 - 2\/9*p**4 + 0*p. Solve b(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57367?\nAnswer: 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-63)\/6)\/(-7))\/(15\/(-520)). Let j = f - -51. Let s(d) = 15*d**3 + 2*d + 1. Determine s(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11850 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-4 + 2 + 1)*(-3 - 1 + 5)*(-5*l + 2*l + 2*l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 q, and 1 o when four letters picked without replacement from {i: 3, f: 1, w: 1, q: 3, o: 5, y: 1}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, 0.045889, 0.5?\nAnswer: 0.045889","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 81062355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4209000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3 + 2)*2. Suppose 5*x - 21 - 19 = 0. Let y = x - -1. Is y greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -59. Let k = 91.578 + -13.578. Let m = k - n. What is the nearest to 2\/7 in 4, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1374736*q**3 - q**2*v - 1131*q*v + 2*q + 4*v + 348 wrt q?\nAnswer: -8248416*q - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15798 + -15759. What is the remainder when 168 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12.3. Let a = 0.3 + t. Let u be (2\/4)\/((-3)\/(-2)). Are u and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669442117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-15) - -2)*6695\/(-1545)*90\/39?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 1:25 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 241 (c) -20 (d) 0.5 (e) -5 (f) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 7*j - 26, -3*j + 12 + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6487, 6, 38 in increasing order.\nAnswer: 0, 6, 38, 6487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w. Let o(a) = 4*a**2 + 2*a**2 - 3*a**2 - 5*a**2. Give o(n(p)).\nAnswer: -1058*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 27 = 5*x, 4*f - 40 = 4*x - 4. Let o be (-2)\/(f\/9) - -45. Factor 5*l + 32*l - o*l**3 - 95*l**2 + 7*l**3 - 7*l.\nAnswer: -5*l*(l + 3)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153))**2 + -3.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:09 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l\/((l*l**(3\/2))\/l*l))**(-49)*(((l**(-7)*l)\/l)\/(l*l**(4\/5)\/l*l*l))**(31\/4) assuming l is positive.\nAnswer: l**(-4949\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9 - -6) + 13)\/2. Solve 4*p - 13 = 4*j - x, 4*p = -3*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l - 359 = 1 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -9*t**6\/2 - 102*t**5\/5 - 69*t**4\/2 - 24*t**3 - 3*t**2\/2 + 6*t - 1. Factor q(h).\nAnswer: -3*(h + 1)**4*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*y + 2*p, -p = -y + 6*y + 7. Let s = 1.9 - 12.9. Let r = 11.5 + s. Sort y, r, 2\/5.\nAnswer: y, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29289155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13065, -13067, -13071, -13077?\n\"Answer: -k**2 + k - 13065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 1. Let g(o) = -6*o - 1. What is f(z) + g(z)?\nAnswer: -7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 37 + 31 - 20 + 3174988*g. Let c be d(4). Round c to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9908 divided by -2477\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657656 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 - 3827?\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 60 - 12. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 + 302 + 4*j**2 + 154.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30826 + -30384. Calculate the remainder when x is divided by 140.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-50))\/((-12)\/60). Which is the third biggest value? (a) -2\/5 (b) g (c) -3\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 685450.32 to the nearest 1000.\nAnswer: 685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n. Let l(s) be the second derivative of -s**3\/2 + 754*s. What is h(l(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41210, -41219, -41242, -41285, -41354, -41455, -41594, -41777?\n\"Answer: -s**3 - s**2 + s - 41209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4818 - 1336 = -61*f - 2984. Suppose 351 = -q + 4*q. Let o = q + f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15021*g - 2. Let z(b) = 7*b**2. Determine y(z(l)).\nAnswer: 105147*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3519 - -3703?\nAnswer: 7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -17. Suppose -d = -3*c + 2. Solve -5*a + 20 = -c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35564 + -3b8?\nAnswer: -3594c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:22 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:02 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 3 = f, -2*p + 28 = -4*f. Sort f, -3, 1, 5.\nAnswer: f, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)*k*k*k*k\/(k**(-2\/3)\/k))**(5\/6)\/(k**(1\/4)\/k*k\/(k*k**(-1\/7)*k)*(k**(-2\/5)\/k)**(27\/7)) assuming k is positive.\nAnswer: k**(1217\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -0.5, 2\/15, -1\/3 in decreasing order.\nAnswer: 2\/15, -1\/3, -0.5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-14)*(-340158)\/(-156).\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d - d - 2*q, q - 1 = 2*d. Let m be 17 + d + 1 - 1. Calculate the greatest common factor of 68 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 8*v + 1. Let t(i) = 6*i - 66. What is the remainder when t(16) is divided by c(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3043275 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503\/756 - 85\/28. What is the common denominator of 1\/1935 and b?\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054 + 0.186. Let y = -0.04 + j. Let k = -96 - -88. Is k less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 10*n - 16*n. Suppose 10*s - 11*s - 17 = 0. Let t = s - n. Solve 0 = z - 3*b + 13, -t*b + 1 = 4*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6145191 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/((((-32)\/(192\/(-12)))\/4)\/(1\/(-2)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**3 - 251*m**2 - 19*m + 126. Give a(18).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161480 divided by -40370?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 0*a = -33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, u: 4, a: 3, o: 7}. What is prob of picking 1 o and 2 a?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 15*x + 5. Let l be (-2)\/4*(-8)\/2. Factor x - y**3 - 6 + 1 - 5*y + 2 - 4*y**l.\nAnswer: -(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 157 + 163)*(-3*b + 3*b - 2*b**2).\nAnswer: -692*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/65626012 and -9\/14?\nAnswer: 459382084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 9*r + 110. Let f = r + 59. Suppose -4*j - 3*z = -2441, 2466 = f*j - 3*z + z. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6434379 to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(45)\/(sqrt(35)\/sqrt(7))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/115 - (-603)\/69*116\/3654\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, 0.14, -4 in decreasing order.\nAnswer: 21, 0.14, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 + 63735*k + 7388550 = 0. Calculate k.\nAnswer: -12630, -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-17)\/(-34)). Let u be 123*((-10003)\/(-3) + p). Round u to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*g - 96. Let s = 53 - g. Calculate the smallest common multiple of s and 7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713 = -200*f + 1960 - 1273 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/5 - 238266\/(-155).\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/68, -17029, -4, -0.5?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9*((-184)\/(-24) + 15) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + (3 + -17)*1. Put 24, -23, b, 2 in decreasing order.\nAnswer: 24, 2, b, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390242 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(285\/988*-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 15*i**2 + 16*i + 4. Let n be s(16). Solve 0 = 3*z + 8 + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(sqrt(2) + sqrt(14)\/sqrt(7)))**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 6*s + 6. Let k be f(-2). Put 0, 4, k in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1989*d**2 + 37*d - 3. Let s(y) = -y**2 - 8*y + 1. Give -5*s(a) - w(a).\nAnswer: -1984*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 - 2*c**2 - 2*c - 1. Let x be o(-1). Suppose k = 4*t + 89, -5*k - 2*t + 541 = x*t. What is the highest common divisor of k and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 15352*m + 920895\/4.\nAnswer: (m - 61393)*(m - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(-4*11\/352)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2965*w = 1880*w + 192294 + 49969 + 29057 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3525, -6816, -10113, -13416, -16725, -20040?\n\"Answer: -3*h**2 - 3282*h - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.727 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**3 - 15 + 15.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20636237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 - 1529. Let r(x) = -5*x + 27. Determine r(f(w)).\nAnswer: -5*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 - 26964*w**4 - 107808*w**3 - 107792*w**2.\nAnswer: -4*w**2*(w + 2)**2*(w + 6737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84483 by 21.\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1076 - -2?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -50490*m - 338. What is the tens digit of p(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -4*y. Let q(j) = j**2 + 3*j - 2. Let p be q(2). Solve y*i = i + p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7460370?\nAnswer: 2, 3, 5, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 400885501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, 0, 1, -5, -3, -2 in increasing order.\nAnswer: -343, -5, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136 - 2980 = -14*p. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 907 divide 290240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*j - 48675, y + 4*j - 48715 = j. Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)*h*h**7)\/(h**(-3\/5)*h*h**(-2\/21)*h))\/((h**1)**(-41)\/(h*(h*h**(-1)\/h)\/h)**(-44)) assuming h is positive.\nAnswer: h**(9673\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 8*m. Let d be n(9). Let x be (-3)\/d*6\/5. Which is the third smallest value? (a) 3 (b) -4\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*t - 13 = 0, -2 = -s - 2*t + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -142*g - 286. Let s(r) = 385*r + 858. Let t(h) = 8*l(h) + 3*s(h). Determine t(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-1)*4\/6. Let h = k + -6. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.986 - -0.016. Round y to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1878*i**2 + 768*i - 1545*i + 776*i to the form u + c*i**2 + p*i and give c.\nAnswer: 1878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/27)*l)**(-1\/2)\/(l**(-3\/7))**(-7) assuming l is positive.\nAnswer: l**(-187\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*b - 6*b. Solve 0*m + b = m - 3*s, -5*s = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483212?\nAnswer: 2, 107, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 194788 = 6*d, 0*d + 3*c - 32459 = -d. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85\/4 - -1279\/60. Let t(c) be the second derivative of c + 1\/25*c**6 + 0 - 1\/10*c**4 - q*c**3 + 1\/50*c**5 + 0*c**2. Find s, given that t(s) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1247759\/40 - -31192. Calculate the common denominator of -77\/10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4398 - 4313. What is the remainder when 506 is divided by t?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81396?\nAnswer: 2, 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3042 - -2?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -9, 0, 3, -6, -5, 5.\nAnswer: -67, -9, -6, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from afwwaaw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3854, 635, 1\/3, 1\/5, -0.3 in descending order.\nAnswer: 635, 3, 1\/3, 1\/5, -0.3, -3854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.419192707 + -1?\nAnswer: -1.419192707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18*f + 76 - 76)*((2*f + 0*f - 3*f)*(3*f + 3*f - 4*f) - f**2 + 2 - 2) + 4*f**3 - 4*f**3 + f**3)*(3*f - f + 10*f).\nAnswer: 660*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 8*s**5\/5 - 3*s**2 - 4. Find the second derivative of k(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11*l + 5. Let y(d) = 10*d + 5. Determine -4*c(w) + 3*y(w).\nAnswer: -14*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.4, -2923, -67, 1\/4, -3 in decreasing order.\nAnswer: 0.4, 1\/4, 1\/7, -3, -67, -2923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 293819 + 293882 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527483 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - 456205\/(-7130))*-3?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1628390 or -1?\nAnswer: 1628390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 316 - 715. Let h = 451.2 + v. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3704, -7121, -10450, -13649, -16676?\n\"Answer: 7*i**3 + 2*i**2 - 3472*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 2. Let a be k(3). Let w be 3\/(-15) - (-18)\/(-10). Calculate the remainder when 38 is divided by (-52)\/a*(0 - w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810, -806, -798, -786, -770, -750?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b\/(b\/(b\/(b*b**(-2\/11)))))**(1\/16)\/(b**(-1\/5)*b**(-1\/11)\/b)**7 assuming b is positive.\nAnswer: b**(7467\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8133 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10881 and -34\/39897?\nAnswer: 119691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, -4, 0.0584, 3?\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 190 + (-6)\/((-3 - -4)*-2). Let j = q - -29. What is the greatest common factor of j and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**5\/5 - 27*v**4\/5 + 138*v**3\/5 + 288*v**2\/5 - 864*v\/5 = 0.\nAnswer: -12, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 2, j: 4, d: 2, k: 2, z: 1}. Give prob of sequence jqkz.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 3*i**2 - i + 1. Let g be w(2). Let p(j) = -j**3 - 5*j**2 + 2*j + 3. Determine p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186\/229 or 0?\nAnswer: 186\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 222*-868\nAnswer: -192696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 3*u**5\/160 + 3*u**4\/4 + 45*u**3\/4 + 75*u**2 + 381*u - 9. Factor w(s).\nAnswer: 3*(s + 4)*(s + 10)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2 + 136*a + 256 = 0.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008817 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -3. Let h = 2.47 + -0.47. What is the smallest value in 4, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 - 13*b**2. Let z(w) = 6*w**3 + 27*w**2. Give -13*c(i) - 6*z(i).\nAnswer: 3*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 2\/3 (c) 0 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - -15) + -7 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88607994 divided by 46078.\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 2*f - 2. Let a(j) = j + 1. Let u(m) = 4*a(m) + 2*v(m). Let z(x) = -x**2. Give u(z(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 6*w**2 - 6*w**2 as s + g*w**2 + h*w and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -23\/9234?\nAnswer: -23\/9234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 - -133.5. Let y = -3 - -6. Let x be (-8)\/(-15) + (-5)\/25. What is the biggest value in x, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -5. Suppose -4*g = 3*r + 5, 6*r - r - 3 = -g. Let c(b) = -3*b**3 - 2*b**2 - 2*b + 3. Let w(p) = p**3 + p**2 + p - 1. Calculate a*w(h) + g*c(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1\/11 (b) 1.4 (c) -2.4 (d) -0.05 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1 - 34\/(-16))*(-67)\/(65124\/(-216)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-22)*(-3080)\/560.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24514872 is divided by 209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 11*j**2 - 35*j**2 - 23*j**2 - 46*j**3 to the form p*j**2 + f + y*j**3 + t*j and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-6\/35)*q**(-2\/47))\/(q*q\/(q**26\/q))**9 assuming q is positive.\nAnswer: q**(343453\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.4559039.\nAnswer: 5.8236156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = 3*m, 4*w - m = 17. Suppose l = -w*l + 10. Solve -3*o = l*k + 3, 2*o + 9 = -2*k + 3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 29*h**2 - 56*h - 569. Let o be j(26). Sort 5, 1, 2, o, 16.\nAnswer: 1, 2, o, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1647 = -39*q + 11046. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/54*-3*(-3)\/((-24)\/(-32))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/113690600 and -121\/34107180?\nAnswer: 341071800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3 + 3 - 4639*l**2 - 9*l + 4644*l**2 - 6 - 13. Let p be h(-5). Sort -2, p, 1 in decreasing order.\nAnswer: p, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 6. Let z be c(8). Suppose 4*v - z = -2. Does 13 divide (1 + -20)*(-3 + v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-22 - 44)) + -25\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/3 - 118600*z**4 - 5275446558*z**3 - 189880853284*z**2\/3 - 237336983680*z - 263701171200 = 0?\nAnswer: -88944, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/32*(-390)\/(-325).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 48*p**2 - 55*p + 439. Determine b(-50).\nAnswer: -1811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/130*(18\/(-12) + 4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/11 - -9\/22. Let t = 15 + -29. Let n = t + 16. Which is the second smallest value? (a) n (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41835*j**2 + 328*j + 15 wrt j.\nAnswer: -83670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297971?\nAnswer: 297971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 5*k + 20, -f - 2907 + 2915 = 3*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:05 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-174 + 16)\/(2\/(-2)). Which is smaller: u or 164?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 4. Let c be q(3). Let y be (-2 - -2)*c - -3. Suppose -3*r = v - 11, 4*r - 2*v = 5*r - 7. Solve 0 - r = -y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, 0.1, 372?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1765 - 3621\/2. Let v(r) = 46*r - 13. Let m be v(-7). Let p = -1873\/6 - m. Calculate the common denominator of p and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 6851617, 13703232, 20554847?\nAnswer: 27406462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240069 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 + 3*y - 3. Calculate w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 8 = 0. Suppose 22 = 5*m - 3*c, 3*m + 2 = -3*c - 4. Let x be (80\/12)\/m*18\/15. Solve -12 = -x*f + n*d, 0 = 3*f - 5*d - 4 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, s: 4, b: 3, z: 7}. Give prob of picking 2 z.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -2*z, 0 = 2*z + 2*g - 6*g + 2. Suppose -9 = -5*x + 26. Suppose x*l - 6*l = 0. Solve -3*j + i - 1 = l, 3*j = -0*j - i + z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + -33?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 629, 947, 1265, 1583, 1901?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/5)*(-77 + 56546\/735)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9699036 to the nearest integer?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5 - 2565*i**4 + 546981*i**3 + 552117*i**2 - 546984*i - 549552 = 0.\nAnswer: -1, 1, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74542 - 3?\nAnswer: -74545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.5 - -36. Which is smaller: 0.01 or r?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638\/22 + -21 + 21173 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4303 = -5673. What are the prime factors of c?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*2*-3)\/(sqrt(48)\/(sqrt(8)*2)) + (-4*1*sqrt(75))**2 + -5 + (-2*sqrt(75))**2 + sqrt(75))*-5.\nAnswer: -7475 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(819\/(-270) + 3). Solve -3*h + 2*n - 5 + 0 = 0, -5*h + 2*n - z = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3435.3, -4, -11, -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 0*m - 4*m, -m + 10 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200) + -1) - 2*((1*sqrt(200))**2 - sqrt(200)).\nAnswer: -405 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - v = 16, 2*v = w - 5*w + 48. Is (-4)\/10 - ((-4974)\/w + -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 2, 0.3, -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1043*w**5\/10 - w**3\/2 - 341*w**2\/2 + 2683*w. Find the second derivative of k(a) wrt a.\nAnswer: -12516*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12964 and 15921644.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.5, -0.1, -83, -3\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/15 - 79616*q**2\/5 - 318472*q\/5 - 955424\/15.\nAnswer: 2*(q - 119428)*(q + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 104.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327654017 to the nearest integer?\nAnswer: 18101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 1, o: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 85. Let l(b) = b**3 - 7*b**2 + 11*b - 14. Let t be l(6). Let d be f(t). Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*u - 3*u - 2*u + 3*u + (0*u - 2*u + 3*u)*(3 - 3 - 2) + 3195*u + 2874*u + 129*u - 1162*u.\nAnswer: 5030*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 16. Solve 5 + 2 = 2*m - 3*t, -3*m = r*t + 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiigiigigggiii. Give prob of sequence ggi.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 14*h + 177. Let z be s(8). Is 4\/1417 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from tttnntnwtttttnwn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68044 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - 36. Let t = 20 - a. Calculate the highest common divisor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146*m = -1140*m - 78. Solve -2 = -2*a + 2*z + 2*z, 3*a - m = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/2 + 3533*f\/2 - 22880 = 0. Calculate f.\nAnswer: 13, 3520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34369621?\nAnswer: 11, 13, 240347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l - 5. Suppose -6065 = 9*x - 5957. Let b(j) = 59*j - 7*j + 7 + 5. Determine x*c(o) - 5*b(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 20?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3*z + 21*o**3 + 999*o**2*z + 41*o**2 - 2*z - 3 wrt z?\nAnswer: o**3 + 999*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968 (base 15) to base 2.\nAnswer: 100001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*u - 4*u. Let n be (-2)\/((-10)\/4 - u). Suppose -b = -0*b - n. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61629875*u**4\/3 - 26027934475*u**3\/3 - 2831960005*u**2 - 924708937*u\/3 - 33551954\/3.\nAnswer: -(u + 422)*(395*u + 43)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 82. Let l be -12*(-3 - (o - -3)). Solve 4*c + 0*c = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31938.7849 rounded to the nearest 100?\nAnswer: -31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j - 838 = -2483. Let s(t) = 2*t**2 - 3*t + 5. Let c be s(5). What is the highest common divisor of c and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let m(a) = 699*a**2. Calculate b(m(w)).\nAnswer: -1398*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.029852 to two decimal places.\nAnswer: 8.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215060 is divided by 572?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2. Let m(d) = -2*d. Give s(m(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 489227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 8*d + 22. Let y be s(8). Calculate the highest common divisor of 110 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8266 = 3*p + w - 8223, -2*p - 4*w - 79 - 63 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8066 and 677544?\nAnswer: 677544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/2 + 11*j**3\/2 + 55*j**2\/2 + 73*j\/2 + 15 = 0. What is j?\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 3485 + 2261 - 391 + 3511.\nAnswer: -5*p + 8866","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - 1?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*y + 12 = 0, 13*c + 4*y = 15*c. What is the greatest common divisor of c and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-46) - 600\/(-552) - 50\/45\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51381102 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 417020 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001122862 rounded to 7 dps?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11*g = -45. What is the biggest value in -2\/15, -1, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53756320 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63679.\nAnswer: 7, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/24 + 2\/(-6). Solve 4*y + 3 = -3*c, -y + c + 3 - 9 = v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17206665 divided by -15.\nAnswer: 1147111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, o: 7, p: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from ffnfnfnnwofnnzf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17946 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + 2*o - 1. Let c be x(1). Let w be (6\/4)\/((-13)\/c + 2). Suppose 4*p = -3*b + 46, 0 = 5*b - 0*b + w*p - 66. Solve 0*f + 5*f - b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 407*h**2\/2 - 3*h + 1233. Let z(q) = -2*q**2. Determine k(z(x)).\nAnswer: -814*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 2) + (0 - 1). Suppose 0 = 5*x - w - o, 4*x + 2*w + 0*w = 12. Let u(j) = 2*j**x + 2*j - j**3 + 0*j + 1 + j**2 - 3*j. Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 4 = 12*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2726 = 104*k - 10*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 - -108) + (-9 - (-4 + -1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 265 = -5*i, 0*f - 2*i - 200 = -4*f. Suppose 97 = 2*h + 2*b - f, -4*h - b + 305 = 0. What are the prime factors of (-3)\/(-6) + h\/2?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ararrraraarrrraraah. What is prob of picking 1 a, 1 h, and 2 r?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162667924.\nAnswer: 2, 40666981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14.337 times 5252\nAnswer: 75297.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947913.\nAnswer: 3, 107, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 33 + 5. Let h = 1 - r. Calculate the smallest common multiple of h and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -895731.3?\nAnswer: -895731.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 5. Let k = -18 - -25. Let a = k + 3. Solve -3*u + a = l*m, -2*u - 4 - 2 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y - 5. What is the remainder when 34 is divided by v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-440)\/(-2860)*2\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.4. Let s = -0.6 - -0.2. What is the closest to b in s, 3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.54 - -0.04. Let g = y + 0.4. Which is the nearest to 2\/5? (a) 4 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2 + 147*q + 8. Determine i(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 9) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8431809 and 127\/354?\nAnswer: 994953462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/7 + 117742*o\/7 + 20902992\/7 = 0.\nAnswer: -177, 59048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkwvveevvvvuue. What is prob of sequence ukve?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 16*r - 6. What is t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 21283 - 21535 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0 + 4 - (-12 - -18)). Let q be (-6)\/21 + (-30)\/(-7). Suppose l + 130 = 4*a + a, -q*a - 5*l + 75 = s. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 + 18*l + 29. Let v(a) = -5*a**2 - 6*a - 10. Let p(b) = 11*v(b) + 4*z(b). Let c be p(-4). List the prime factors of c\/5 - 154\/(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/3)\/((-2)\/6). Let n(y) = 19*y + 10. Let s(i) = 3*i + 1. Let w be (-14)\/3 - 68\/51. Let c(g) = w*s(g) + n(g). Calculate c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 5:35 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -633, -1268, -1905, -2544?\n\"Answer: -w**2 - 632*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-218)\/4*171\/57. Is l equal to -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 5*o**3 + 30*o**2 + 11 + 10*o**3 - 31*o**2 + 5*o. Let r(u) be the second derivative of -u**5\/20 - u**3\/3 - u**2 - u. Determine 2*c(n) + 11*r(n).\nAnswer: -n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 438.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -16. Calculate the greatest common factor of 11 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 141*x + 35 + 145*x - 270*x - 1. Let i be q(-2). Solve -i*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641469294?\nAnswer: 2, 3, 3959687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((9*10\/30)\/(-3))\/(((-112)\/(-656))\/(-7))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.936 - 142405.5566?\nAnswer: -142408.4926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 30 = 10. Let j be 1 - h\/2 - 3. Let u(q) = q - 2. Let b be u(4). Which is bigger: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1100740 = 2*v, -k = -0*v - 5*v + 220175. Round k to the nearest 1000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -2713, -8974, -21161, -41248, -71209, -113018, -168649?\nAnswer: -240076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {a: 6, g: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 6*n + 4. Let p be a(6). Suppose 4*z + 3*q - 255 = 341, 3*z - p*q - 447 = 0. Suppose 3*f = 28 + z. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351) + sqrt(351)*2)\/(sqrt(75)*-2) - (4 + (sqrt(13) - sqrt(325)*2) + 3).\nAnswer: -7 + 81*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728017001?\nAnswer: 3, 192001889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 55900 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose s*u - 5*q - 105 = 0, -u = -4*u - 2*q + 78. Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a - 0. Suppose -4*h + 1586 = 2*p, 2*h - 7 = a. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292746 or 292778?\nAnswer: 292746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 + -0.15. Let w = -3.3 + 6.3. Let v = 0.1 - -0.1. Put g, w, v in decreasing order.\nAnswer: w, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/2 of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 282 = -3*u. Let q = u - -108. Calculate the remainder when 82 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4 + 79*t**3 + 12*t**2 - 14573 wrt t?\nAnswer: 8*t**3 + 237*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2407*h**2 + 5*h + 0*h + 1163*h**2 - 5*h + 1141*h**2.\nAnswer: -103*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)\/(k**(2\/11)*k)*(k**2)**(-39)*(k\/k**6)\/(k**(-2\/15)*k)*(k\/k**(-2\/7))**28 assuming k is positive.\nAnswer: k**(-9248\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3682\/1315*820\/123.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2\/3, -12\/7, 0, -0.07 in decreasing order.\nAnswer: 7, 0, -0.07, -2\/3, -12\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133046975 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -636*l. Let d(n) = -4*n. Give m(d(a)).\nAnswer: 2544*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.21 + 33. Let j = x + -15.09. Let z = j + 14.300067. What is z rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15401081 or 15401020?\nAnswer: 15401081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.9. Let t be (-6*(-4)\/(-18))\/((-1)\/(-3)). Let a be (-8 - -12) + 26\/t. What is the second smallest value in a, b, -4\/3, 3\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 5. Solve 0*h = -m*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28340*u**2 + 130036785 - 130036785 in the form z*u + f + a*u**2 and give a.\nAnswer: -28340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19413100.\nAnswer: 2, 5, 7, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/30604 and -57\/4372?\nAnswer: 30604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4254723 and 1815.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 times -7471.3?\nAnswer: -5476462.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-3)\/9 - 2. Let f(a) = -a**3 - 1. Let v be f(-1). Suppose 4*l - 9 = 3*c, v*c - 9 = 3*c - 3*l. Do c and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 36*q - 35*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*l - 6627 = 3619 + 8676 - 1954 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484646420 is divided by 2227?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2, t: 1, r: 1}. Give prob of sequence tr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -26, -44, -48, -26, 34, 144, 316?\n\"Answer: 2*c**3 - 11*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:02 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/6 + -1)*30\/75. Let b(j) be the first derivative of 2\/5*j + 8\/5*j**3 - 4 - c*j**2. Let b(v) = 0. What is v?\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - -6*sqrt(10)\/sqrt(2) - (sqrt(40)*2)\/sqrt(8).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003007 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose -g*j + 717 = -909. Suppose 5*i + u - 3845 = 0, i = 2*u + 238 + j. Round i to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/d**1)**20 assuming d is positive.\nAnswer: d**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25 + (-34)\/15 - 757\/2271\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -1163?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144 divide 1177675981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20979)\/(-148))\/((-1)\/(-32)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 14*q**3 + 26*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 264*o**2 + 381*o**2 - 3.\nAnswer: 645*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61149277 is divided by 1798508.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {b: 9, c: 3, j: 1, i: 2, a: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*c - 1, -35*c + 32 = -4*o - 30*c. Let x(z) = -4*z - 17. What is x(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9*c - 413 = 0, 0 = -z - 308947*c + 308944*c + 136 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*f + 6*f. Suppose f*k - 194 = o + 718, 0 = k + 3*o - 304. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3619*k + 6593 + 28284 = -8500 - 7289 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -1, 11 in descending order.\nAnswer: 101, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59653 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203219827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 319*l - 4002. Determine k(13).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m + 6 - 2 - 8. Is 4 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 + 5*j - 29. Let n(m) = m**2 + m - 1. Determine -l(k) + 5*n(k).\nAnswer: -k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/31, 29, -4, -339, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 less than 0.034?\nAnswer: -2.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.16 - -16.74. Let u = w + -13.9. Which is the nearest to -1\/4? (a) -0.4 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-448)\/32 - (-9 + -8))\/(0 + 1). Solve a*f = -4*s + 25, -4*f - s = -4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*-2*sqrt(77))\/(-3*(sqrt(28) + sqrt(28)*-3) + sqrt(28)) + -4.\nAnswer: -10*sqrt(11)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = 2*l, -2*l + 9 = -3*u + 11. Let o(b) = 34*b**2 - 30*b. What is the tens digit of o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 4*d - 5*t - 74, d - 56 = -t. Let j = -48 + d. Let s(p) = -p + 2. Let u be s(j). Sort -10, 4, 1, u in increasing order.\nAnswer: -10, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16746, -0.9, -4 in increasing order.\nAnswer: -5, -4, -0.9, 16746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47ceae - 0?\nAnswer: -47ceae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95999562 and 667989.\nAnswer: 671996934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + 126b?\nAnswer: 128b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.810821m in centimeters?\nAnswer: 81.0821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -14 + 2. Let h(m) = -m**2 + m. Let o(y) be the first derivative of -2*y**3\/3 + y**2 + 100. Determine u*o(s) - 7*h(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, i: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.969 + 2.069. Let n = 123 - 128. Which is the closest to 0.1? (a) y (b) -4 (c) n (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*q + 7444 = -428 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394883 is divided by 1329?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x + 8. Let y = x + -3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4705 + -27392959736.\nAnswer: -27392964441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-70) - (-151)\/10)*87\/15. Solve x*i - 85*i - 14 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 5 + (-10 - -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*w**4 + 158*w**3 - 70283*w**2?\nAnswer: -5376*w + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-246) - 12136\/(-48544)?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9946069 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0 + 3. Let o be (0 + u - -4)*-1. Sort -4, o, 3.\nAnswer: -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -110?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -228, -622, -1306, -2280, -3544, -5098?\n\"Answer: -145*a**2 + 41*a - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.14 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5036717\/6 or -839454?\nAnswer: -839454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1066, -53, 1, -0.4, -4 in decreasing order.\nAnswer: 1, 1\/5, -0.4, -4, -53, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9974 * -0.02.\nAnswer: 0.019948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/378882 and 121\/5820?\nAnswer: 3788820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, -5, 4, -6, 27, 8.\nAnswer: -310, -6, -5, 4, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5*h + 8, 3*h = -4*g - 0*h - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 7097 + 2*m - 7113. Calculate c(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a millennium?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32580?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by -1.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40134 (base 6) to base 11.\nAnswer: -3a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 949 (base 10) to base 13\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1734262.06 - 77935.\nAnswer: -1812197.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/42 - 1138\/231. What is the common denominator of -23\/268 and q?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 38239077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 59 - (8 + -9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 1. Let f be t(-1). Suppose k + 0*a = -4*a + 20, k = 2*a - 4. Suppose 0 = 5*v + q - 2, -q - 6 = 4*v - k*q. Solve v = -f*d + 28 - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (-5 - (10 - 4 - 15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.4 - 8.6. Let z = 71.9 + b. Sort z, -1, 3, -3 in decreasing order.\nAnswer: 3, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -43. Suppose -w = l*d - 213, -5*w = 2*d - 382 - 593. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -977 (b) 3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 5*a**8\/336 - a**7\/105 - 37*a**4\/24 - a**3\/6 - 41*a**2. Find the second derivative of q(w) wrt w.\nAnswer: 100*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578303071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1210618 by 250.\nAnswer: -605309\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73250029, -146500056, -219750083, -293000110, -366250137, -439500164?\n\"Answer: -73250027*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2617, 9860, 17103, 24346, 31589, 38832?\n\"Answer: 7243*g - 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((10 - 17) + -2 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2541815 (base 10) to base 13.\nAnswer: -6acc43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**4 + 0 + 0*u**5 - 111*u**2 + 0*u - 1\/120*u**6 + 45\/2*u**3. What is the derivative of w(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.1.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558 + 1242 - 1944 = 113*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2864 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 7 - (-22 + -10 + 18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5 = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.279 - 0.279. Let c = 1.96 + -1.96. What is the smallest value in c, -0.2, a, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -1639, -2579, -3553, -4549?\nAnswer: -5555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21513693 or 21513691?\nAnswer: 21513693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13 + 322\/(-56))*52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z + 17. Let j be (91 + 2)\/(-3) + -1. Let p = j + 45. Let h(f) = -8*f - 8. Suppose 2*n = 3*a - 16, -a - 5*n + 9 = -2*n. Calculate a*s(r) + p*h(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175b + b94?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430665443 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**3 + 2033225*t**2 - 20332625*t + 50831875 = 0.\nAnswer: -406655, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 36*i + 1 = -5*h + 30, -4*h - 3*i + 29 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/129 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*u + 4, 47 = 2*u - 2*n + 61 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let s(b) = -308008 + 308008 + 3523*b. What is v(s(c))?\nAnswer: -24823058*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(2*sqrt(9)*4 + sqrt(9)).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 47*g + 138. What is r(50)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847 and 3409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -169 (b) -3\/8 (c) -8\/235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 93*b = 92*b - 8, 2*b + 11 = -7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 5 - 105806*q**3.\nAnswer: -105806*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 68. Let q(c) = -c**2 + 11*c - 4. Let l be q(7). Calculate the greatest common factor of d and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*z - 132 = -2*z, -4*z - 36 = -j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8654 - -16074. Suppose -3*r - g = -2*r + 4*y, 0 = 5*y + 25. Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 1. Let y(l) = -6*l - 5. Determine -5*w(c) + y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3 - 8 = g, g - 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93089763 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-242438)\/56)\/((-3)\/(-12)*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61690 by 5.\nAnswer: -12338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/2 - 6767*m\/2 + 1476881 = 0. Calculate m.\nAnswer: 469, 6298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.488 + -2.488. Let n = -14 + 8. Let d = 8 + n. Which is the nearest to o? (a) -0.01 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1)*(-3 + 2). Let y be 0 - (1 + o) - -4. Let m(z) = -z + 8. Let s be m(y). Solve 5*t + 12 = -3*d - 3, -t - 10 = s*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1241170467 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -62 + 1797. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002924 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75086 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -79. Suppose -29 = -o - l. Solve 4*u = -2*r + o, 0 = -5*r - u - 1 + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -0.4, 2\/21, -3\/7, 0.26?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 10, -1, 0, 2, 72 in increasing order.\nAnswer: -1, 0, 1, 2, 4, 10, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttgtttttttt.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221 + -1?\nAnswer: -20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*n + 46, -3*w + 3*n - 2*n = 95. Let q = 33 + w. Suppose 5*z + 350 = 4*y, -5*y - 3*z + 419 = -q*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 12*g - 5. What is f(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 71*o + 6631. Calculate i(-109).\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103448)\/443004 + (-4)\/(-174).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 86?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose c = -2*q + 4*q. Let u = q - -2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10023?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 2*i)*(2*i**4 + i**3 - i**3 + (1 - i**2 - 1)*(-i**2 + 0*i**2 - 3*i**2) - 3*i**4 + 0*i**4 - 2*i**4).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.78, 15, 5, 2\/27, -0.3 in decreasing order.\nAnswer: 15, 5, 2\/27, -0.3, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*v = -99, 3*v + 2*v + 15 = 0. Let f = b + 24. Is (-1 - -2)\/((-1)\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k. Suppose -4 = l - 2*l. Let b be (2\/l)\/(2\/16). Let z(x) = x**2 + x + b*x - 2*x. Give 2*r(n) - 3*z(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7801788 to the power of 1\/2, to the nearest integer?\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 76.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(190) - sqrt(190))*5)\/(sqrt(10) - (sqrt(90) - (sqrt(90) + sqrt(90) + 1*sqrt(90)))) - (1*sqrt(228)*-3)\/(sqrt(96)\/(sqrt(40)\/sqrt(5))).\nAnswer: 81*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 3*t - 22, 51 = 4*t + 5*y. Let d(v) be the third derivative of v**4\/4 - v**3\/6 - 2*v**2 + 7*v. Let q(z) = 13*z - 2. Calculate t*d(i) - 4*q(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39621932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -567 - -572. Let x = 1 + 4. What is the second derivative of -5*w**5 - 3*w + x*w**5 + 10*w**y + 13*w wrt w?\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/3 + c**3\/6 + 7*c**2 - c. Let s(u) be the first derivative of h(u). Is 7 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.832775 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2732 (base 14) in base 7?\nAnswer: 26062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 722247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 - -29a763?\nAnswer: 29a708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1228*y**4 - 2592*y**3 + 2224. What is the third derivative of h(g) wrt g?\nAnswer: -29472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 20 = -67*d + 72*d, 0 = -3*d - f - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 24525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 34*m + 105. Is 39 a factor of t(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from bxvnxduub?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)*u**(-12)*u**(1\/8)*u**(1\/2)*u)**(2\/5) assuming u is positive.\nAnswer: u**(-87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y - 595*y - 10144 = -87*y + 9896 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 65\/((126984\/(-352))\/(-111))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 3*k + 764327789 - 764327789.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(3\/30).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/14)\/3*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20582 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -458, 1\/8, -7, 0.3, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.873296mg in tonnes?\nAnswer: 0.000000006873296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 20. Suppose -5*b + 32 + 55 = 3*z, n*b = 15. Solve 0 = -0*f + 4*f + 2*u + z, -u = 5*f + 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 139122420?\nAnswer: 139122420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 31*d**2 - 17*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 625*r**2 - 684*r**2 + 2397*r**2 - 1 to the form u*r**2 + i*r + j and give u.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15700 (base 13) in base 5?\nAnswer: -2300404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5781, 5784, 5789, 5796, 5805, 5816?\nAnswer: 5829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86997 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 8\/197, 1\/3, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, 8\/197, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*5)\/((-2056)\/(-3084))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x + x + 0*x - 2*x - x - x + 2*x + 0*x + (-x + 3*x - x)*(7 - 4 - 2) + 1329 - 6*x - 1329.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3627 and 3115996.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 26 = 2*x + a, x + 7 = 2*a. Suppose 10 = -5*l, x*k - 7*l - 68 = -3*l. Solve k = -5*d, -d = -2*y - 3*d - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288.9 and -4206?\nAnswer: -1215113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91\/348 + -1\/87. Let u = 0.128 - 0.028. Which is the nearest to u? (a) 1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22723934*-5\nAnswer: -113619670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29 + 59345963569?\nAnswer: 59345963570.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -z + 3*y, 70 = 3*z + 5*y + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10141870 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 557273.9ug?\nAnswer: 557.2739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -567, -2253, -5037, -8901, -13827?\n\"Answer: 3*i**3 - 567*i**2 - 6*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -17) + -10 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eej when three letters picked without replacement from eejeeeeejjeeee.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5228 by -4.\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-119 - -122) + -15 + 34\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s - 56 = 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -155.7 (c) 63 (d) 1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:53 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r**3 - 12*r**2 - 47*r - 57. Let s be h(-3). Solve 722*o - 70 = s*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285.1 + -253. Let p = 107.9 + u. Let j = 140.00000059 - p. What is j rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 21466775*r - 21466775*r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -9, 2 in decreasing order.\nAnswer: 4, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 231432 = -736724. Is q 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 wwewwbewebbbbwebw. Give prob of picking 2 b.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 9. Let n be w(-3). Suppose -5*t + 110 - 450 = n. Let l = 194 + t. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/4))**44)**(-2\/49))**38 assuming z is positive.\nAnswer: z**(836\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - sqrt(900)*-1)\/(-6*-2*sqrt(3)) - (-5 + -2*(sqrt(27))**2 - ((sqrt(48)\/sqrt(2))\/sqrt(8) - sqrt(3))**2*-1).\nAnswer: 5*sqrt(3)\/3 + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 8. Let s be z(-12). Solve 0 = c - f - 7, -4*c + 12 = -f - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -653 + 652. Let r be ((-1)\/3)\/((-52)\/(-96)). Is r > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686670091?\nAnswer: 1686670091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141430 - 141424. Let i(d) = -d**2 + 6*d - 6. Let j be i(4). Let h = 3 + j. Solve 2*r - h*r + g = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*f + 12, 2 = 5*f - 3. Suppose k - 69 + 67 = 0. Solve 0*c - y = k*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/40 + 19*r**4\/24 + 14*r**2. Find the second derivative of u(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a second in milliseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2399 + -7108\/3. Let j = 30 - r. What is the third biggest value in -1, 4, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h = -12. Let l(b) = b**3 - b. Suppose -5*k = -5, 0 = 4*q - 5*k - 0*k - 19. Let u(z) = 2*z**3 + 6*z - q*z**3 - z**3. Determine h*l(r) - u(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29271644 divided by -4.\nAnswer: -7317911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 5) in base 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 3 + (-18 - -3 - -11) - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164448 is divided by 89559?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6290, -24951, -56054, -99599, -155586?\nAnswer: -224015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksskerkshkk. What is prob of picking 1 k and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 4*n**2 + 2*n**2 + 2*n**2 + 2*n**2 + 0*n**2 + (2*n - 5*n + n)*(-3*n + 2*n + 2*n) + (5 + 1 + 3)*(-4*n**2 + 2*n**2 + n**2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4445 - -4448. What is the closest to a in 0.2, 9.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18990\/(-351315) + 3406\/37?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1654620723 + -137.9.\nAnswer: 1654620585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288 divided by 6?\nAnswer: -644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*889.4.\nAnswer: -6225.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 19 = -5*c, 7 = -4*c + 5*c - a. Suppose c*p - 44 = 28. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200379 is divided by 559.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 7\/29 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-4) - 2 - 2. Suppose -89 = -l*i - 87. Solve 7*k + i = -13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*p - 7*p + 23*p)*(1 + 4 - 3) + 3*p + 0*p - p to j*p + z and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -639.6*3\nAnswer: -1918.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + c + 2*c - 31, -3*t - 23 = -2*c. Let q(p) = p**2 + 5*p - 7. Let g be q(t). Solve -k - 3*i = k - 9, 3*k = 2*i + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 1. Let j be c(-1). Suppose 0 = 4*n - 1 - j. Suppose -m = -6 - n. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51575, 206434, 464579, 826010, 1290727?\n\"Answer: 51643*j**2 - 70*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77691659.\nAnswer: 67, 1159577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*h - 387*h - 371*h + 1132*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39684245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 106. Solve -u*f - 1 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p - 106*p - 4*a = -27, -3*a = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310074876 to the power of 1\/2, to the nearest integer?\nAnswer: 17609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 994?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, m: 1, f: 10}. What is prob of sequence fimf?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60631 (base 7) to base 16\nAnswer: -3982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 330 + 330.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1217*-42842\nAnswer: -52138714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 6) in base 13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {f: 3, b: 2, i: 1, s: 3, u: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3761 + 4?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-2 - 3 - -27) + -36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = -2*g. Suppose -d = -2 - g. Suppose 9 = d*f - f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3769000 rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpt when three letters picked without replacement from {m: 2, x: 6, w: 1, p: 3, t: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 9 + 13 + a**3 + 0*a to the form m + i*a + t*a**3 + u*a**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2183 and -277290\/127 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 - 19*f**2 + 9*f**2 + 23*f**2 + (3*f - 4*f + 3*f)*(3*f + 91 - 91) + 0*f + 2*f**2 + 0*f to r + q*f**2 + s*f and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9938 = 497*l + 2483 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:53 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.049511 + 2.8\nAnswer: 2.849511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363203 + -5?\nAnswer: 363165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 14*d - 15. Let r be w(12). Let x = -12 - -17. Suppose 145 = 5*f + x*b, f + b + 2*b = 33. Calculate the highest common factor of r and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(20\/(-118)) - (-22)\/110. Let s = 53 - y. What is the greatest common factor of 123 and s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*s + 5*s. Suppose 130 = s*g + 5*r, 0 = 3*r - 2 - 4. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (222\/(-30) - -8) + 6 + 305\/(-50). Factor 2 - 9\/2*b + 3*b**2 - t*b**3.\nAnswer: -(b - 4)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 29*j - 3.\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124249 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 919600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -68*j - 12. What is the remainder when a(-2) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 3 + -4)\/4. Suppose -25 + c = -5*t. Suppose t*h - r - 6385 + 45380 = 0, -5*r - 15625 = 2*h. Round h to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (-4 - 2) + -84 + 86\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7126, -5, 43 in decreasing order.\nAnswer: 43, 1, -5, -7126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 721*n**2*o*y**3 + 84*n**2*o*y + 64241*n**2*o - 126309*n*y**4 + 2*n*y + 2*y wrt y.\nAnswer: 4326*n**2*o*y - 1515708*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -4*u. Let i = 3 - u. Let f(v) = 15*v**2 + 1. Does 16 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6 - 22*a - 2 + 0 to the form f*a + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 246, 222, 178, 108, 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -m - 78, 3*m - r + 100 = -118. Let f = m + 77. Suppose f*x + 0*x + 3*d = 867, 433 = 2*x + d. Is 36 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -26979?\nAnswer: -26979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5636964 nanoseconds in weeks?\nAnswer: 0.000000000000025733625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 19. Let b(n) = -8*n - 55. Let x be b(-8). Let s be p(x). Let z be s\/(13\/(-28))*-1 + -2. Sort 2\/7, z, -0.1 in descending order.\nAnswer: 2\/7, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/110 and -73\/16.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -39*d - 15. Let n be v(-15). Suppose -19*p + 950 + n = 0. Calculate the greatest common divisor of 100 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 22 - 7. Let t(v) = -v**3 + v**2 + 4*v + 1. Let z be t(-3). Solve b*x - z = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-106)\/3 + (-12)\/18. Let v = 52 + t. Solve -2*p + v = -7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43719992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and -37\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:11 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16647566 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23421 in 5\/3, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (2 - -1)) + 0. Let r be (i + 0)\/(4\/(-16)). Suppose 0 = -3*k + 17 + r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (1 - -1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-30))\/((-5)\/(-50)*29\/(406\/168))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -15, 0.4, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-171)\/36 - 2050\/(-400). Let v = 0.2 + -0.7. Which is the smallest value? (a) f (b) v (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m - 2*m. Solve d - 4 + m = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23908 and 4170?\nAnswer: 358620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884 times 210?\nAnswer: 395640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 33 = -108*i + 106*i, -c = 5*i + 57 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-6))\/1*(-14)\/(182\/(-117)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15451 plus -0.1?\nAnswer: -15451.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135910688\/9 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3481, 3445, 3385, 3295, 3169, 3001?\nAnswer: 2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1720a715 + 1?\nAnswer: 1720a716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*x = 238*x. What is the fourth smallest value in x, 1, 0.2, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 250. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5\/2 - 18201111*d**4\/2 + 13803365385573*d**3 - 41409932346849*d**2 - 248459994505293*d\/2 - 138033380839335\/2 = 0.\nAnswer: -1, 5, 3033517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:28 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*n**6 + 63*n**5 - 3*n**4 - 83*n**2 - n - 5?\nAnswer: 4440*n**3 + 3780*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + -55. Let g = h - -129. Solve -2*l = -w + 2, 0 = -4*w + 5*l + g + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 + 66\/55. Let r(j) = -169*j + 1. Let g be r(y). Is (19\/4)\/((-6)\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - r - 2198 = 0, x = 3*r + 454 + 655. Suppose x - 15173 = -9*p. Does 92 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/14 - (-72)\/(-24) and -17\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -262*o**3 - 11*o**2 + 25*o + 157. Is d(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 - 113. Let b = g + -29. Let c = 44 - b. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3 - 25\/(-10)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-180))\/((25\/(-45))\/5).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -19, -28, -37, -46?\n\"Answer: -9*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/113895 and 28\/15.\nAnswer: 113895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167566155 to the power of 1\/2, to the nearest integer?\nAnswer: 56281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3391 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - 3 - -5. Suppose u*m + 4*n + 12 = 0, -4*m - 5*n - 2 = -m. What is the units digit of (2\/m - 1)*-22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/5))\/i)\/i**3*(i**(1\/2))**(3\/28)*i*i**(1\/2)*i**(-3\/8)*(i**(-1\/4)*i*i)**(-3\/10) assuming i is positive.\nAnswer: i**(-769\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 133, 2129 in decreasing order.\nAnswer: 2129, 133, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*10\/780*13\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 25*k**2 + 17*k + 15. Is w(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81 - 224*d**2 + 91*d**2 + 105*d**2 - 11 wrt d.\nAnswer: -56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-36) - (-2)\/(-9). Suppose -2*u + 110 = 3*u - 4*w, 5*w + 79 = q*u. Which is smaller: 24 or u?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = -2*f, 0*f - 5*z = 5*f - 5. Solve 4*i + g + 12 = 5*g, 3 = -f*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -1662, -4554, -9620, -17448?\nAnswer: -28626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1881, 23, -4 in ascending order.\nAnswer: -4, 23, 1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + (2 - -1). Let b(i) = -i - 1 + 0*i**2 + p*i + i**3 - i**2. Calculate the least common multiple of 9 and b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -45*x**3 - 45*x**2 + 35*x. Let n(t) = 5*t**3 + 5*t**2 - 4*t. Let o(q) = -55*n(q) - 6*w(q). Suppose o(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 33.61351\nAnswer: 67.22702","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 1123000 (base 5) to base 12\nAnswer: b95b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - 90. Let c = -121 - p. Solve -2 = -c*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 63*f**2 - 168*f - 9924. Determine x(14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:32 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:03 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 124 = -2*v + 2*p, 3*v = -5*p + 89. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 12*z + 16. Let t be h(5). Suppose t = -2*q, 6*x - 54 = 5*x + q. Calculate the remainder when x is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/((g\/((g\/((g*g**0)\/g))\/g))\/g)))**14*g*g\/(g\/(g**(-5)\/g))*g*g\/(g*(g\/g**(-1\/3))\/g))**31)**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2212 (base 4) to base 6\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:55 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11835\/134130 + 550\/(-68).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(102) + sqrt(102))*-1)\/(1*sqrt(18)\/(sqrt(3)*1)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 4900852*j - 4900848.\nAnswer: -4*(j - 1225212)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (3 - 7) - -2) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.309146357 to four decimal places.\nAnswer: -0.3091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 26. Let t be x(14). Solve -2*a - 2*b - t = 0, a + 9 = b - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44999674 is divided by 3066.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from tgcjggjjjtjtgggkjgj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2693211573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 218470 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, 5\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10495946 rounded to three decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82084357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 629 - 626. Let j = -1 + 2\/3. What is the closest to 2\/5 in 0.5, i, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 1, 2*g + s = 3. Let c be 20\/7*7\/2. Suppose 0 = -5*y + c, 2*u + g*y - 5*y - 10 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558 divided by -3725?\nAnswer: -2558\/3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5777116 or 5777024?\nAnswer: 5777116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*m**3*p**2 + m**3*p - 10*m*p - 2 wrt p?\nAnswer: 104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*h**3 - 19683*h + 19197*h**2 - 491023*h**4 + 491026*h**4 + 126*h**3 = 0. Calculate h.\nAnswer: -81, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**4 - w**2 + 1. Let a(n) = 3*n**4 - 6*n**3 - n**2 + 2. Let u(m) = 2*a(m) - 4*l(m). Factor u(y).\nAnswer: 2*y**2*(y - 1)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h + 5. Let p be a(-7). Let g be (2\/4)\/((-2)\/(-48)). Calculate the greatest common divisor of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 2*a**2 + 3*a**2 + (-3*a**2 + a**2 - a**2)*(-108 + 20 + 21).\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -14939800, -5 in descending order.\nAnswer: 2\/13, -5, -14939800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 11:28 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oroo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + 3*f)*(-2 - 3 + 7) + 8*f + 104*f - 420*f.\nAnswer: -302*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32473*t**4 - 6223*t**2 + 12887946*t + 16 wrt t?\nAnswer: -389676*t**2 - 12446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/((-1792)\/70)*((-18)\/(-10) + -1). Let m(j) = 2*j - 5. Let r be m(5). Sort 2, r, s.\nAnswer: s, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -145 (c) -6 (d) 4 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b**4 - 45*b**4 - 64*b**4 + (2*b**3 + 70*b**2 - 70*b**2)*(-3 + 3 - b) to t*b + l*b**4 + k*b**2 + s + a*b**3 and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 0*k + g*k - 40 = 5*s, -5*s = 25. Let r be (12\/(-9))\/(k\/(-15)). Solve r*p - 2*p + 5 = -q, -3*q - 5*p = 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -120*j + 491. What is the remainder when 677 is divided by g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 1. Let l(c) = -c**3 - c**2 - 22. Let f(q) = -l(q) + u(q). What is the derivative of f(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/10*(-1 + 26). Suppose -k - 4*k = -5*n + a, 3*n + 5*k - 20 = 0. Suppose -76*r + 74*r = -18. Calculate the remainder when r is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - d + 6 = 0, d - 8 = -2*l - 2*l. Let t = 48 - 46. Suppose 3*q - 18 = q - t*v, 3*v - 32 = -4*q. Solve 1 = l*y + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112 - 24711*h**2 + 1112 + 24698*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.7 * 4.\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a century in decades?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 19 + 117)*(0*q - 21*q**2 - 11*q + 9*q)*(3*q**2 + q - q).\nAnswer: -7182*q**4 - 684*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18147216*b*z**6 - 2772*b*z**2 + 2*b*z - 12*z**2 wrt z?\nAnswer: 2177665920*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1037104*c + 1332367.\nAnswer: -1037104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + sqrt(102) + sqrt(102)*2)*2)\/(-5*(sqrt(150) - -4*sqrt(150))).\nAnswer: 16*sqrt(17)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 12 + 12 in the form m + t*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + sqrt(432) + sqrt(432)) - (sqrt(432)*-2 - sqrt(432))*-6) + -1 + 0 + sqrt(432) + 5)**2.\nAnswer: -9072*sqrt(3) + 315124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.423836 rounded to 1 decimal place?\nAnswer: 255.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 10046712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 3. Let u be z(-1). Let i be 628\/(-6)*(u - -1) + -1. Let h = i + 550. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21298, 171275, 578372, 1371151, 2678174?\nAnswer: 4628003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 30*x - 40.\nAnswer: -5*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.3, -4, -17, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*g + 258, -a = -4*g + 120 - 377. Let s = a - 126. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, b: 7, c: 2, w: 6}. Give prob of sequence cw.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -24. Let w(u) = -51 + 67 - 507*u**2 - 4*u + 506*u**2. Let a be w(d). Solve 3*r - p - a = 0, 4*r + 4*p + 12 = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-8 + -1 + -14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*o = 1402*o - 499*o + 803*o + 198716 for o.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, -54, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 56 = 3*a, 38*s + 13 = -a + 33*s. What is the greatest common factor of 36 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 1:53 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300600.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 4. Let w be v(0). Let l = 0.7 - 0.3. Let c be 4\/18 + (-21)\/(-27). Sort c, w, l in decreasing order.\nAnswer: c, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9338284 years to decades.\nAnswer: 0.09338284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -0.3. Let o = -0.74 - -0.04. Let m = o - -0.8. Sort m, w, 0.2 in ascending order.\nAnswer: w, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j - 2. Let v be y(4). Let w be (-2)\/v*(-54)\/(-6). Sort w, 0.5, -2\/3 in increasing order.\nAnswer: -2\/3, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let a = 1 + -2\/3. Let o(c) be the second derivative of -2*c + 0 - a*c**4 + 0*c**3 + 0*c**2. Determine o(d(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-1)))*f**(-4\/13)*(f*(f**31\/f)\/f)\/f**(-1\/21))**(31\/3) assuming f is positive.\nAnswer: f**(251689\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-130)\/(-12))*(-50)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - -13610?\nAnswer: 13653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 2. Let h = 80 + -78. Suppose 4*i - 3*x + 27 = 0, -h*x - 16 = -0*i + 3*i. What is j(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 7 - 2 - 4 - 3*s to the form h*s**3 + j + z*s**2 + p*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 126*q**2 - 3*q - 3. Let f be k(-1). Let d = 650 - f. Suppose -5*s = -2*o - d, 2*o = -s + 5*s - 420. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (50 - (53 - 51)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*v + 4 - 10 = 0, -11*v + 12 = -14*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/6 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2 - 281*w - 568. Let n be s(-38). Let j be -2 - ((-34)\/10 - -1). What is p in j - p - 1\/5*p**3 + 4\/5*p**n = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*z + (5 + 0 - 4)*(-2*z + z + 3*z) - 1 + 1 + z - 52*z - 25 + 25.\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 6055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5574563*k**3 - 4167921*k**2.\nAnswer: 33447378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9915*u + 91 = -3*w - 9910*u, -6*w = -2*u + 46 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64864?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b, -3*b - 32 = c. Let z = -22 - c. Solve z = 5*v, v + 19 = 4*a + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 4*y**2 + 3*y. What is q(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 0.35. Let d = g - -0.06. Let p = 0.063 - -0.237. What is the second smallest value in d, -5, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 6. Let z(a) = 14*a**3 + 2*a**2 - 2*a - 2. Let l be z(-2). Let f = -109 - l. Let b(c) = -2*c**2 + 7. Determine f*g(k) - 6*b(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 12*l + 8. Let x(u) = -8*u**2 + 12*u**l + 12*u**2. Let d(v) = 3*v**2. Determine x(d(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 7*p**4\/4 - 13*p**3\/6 + 21*p**2\/2 - 2*p - 34. What is the tens digit of x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2140 + 4906 - 2501 - 2*c - 2*c + 4*c + c.\nAnswer: c + 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -9*p - 3. Let q be (-1 + p + 1)\/(-1). Let y(n) = 2 - 55*n + 52*n - 2. Let g(a) = 2*a. What is q*y(k) + 4*g(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 3*o + 1. Let f(i) = -40*i**2 + 16*i + 6. Suppose 4 = 6*l + 16. Let v(m) = l*f(m) + 11*r(m). Give v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-7)*679\/(-194). Solve -k = r - 4*n, 2*r - n - 2 + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 630396?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 60*i + 5. Let b(m) = m + 2. Determine -4*b(q) + n(q).\nAnswer: 56*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**3 - 10*q**2 + 6*q + 18. Is 69 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*a - 20 + 108. Is a > -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20317 is divided by 2345?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-427)\/(-77) - 34\/(-22))\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 16) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + 1 + 1)*5*5 + 3)*-1)**2.\nAnswer: 18550*sqrt(19) + 584684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 12858209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*q = 67*q - 2*f + 2886, -3*q - 3*f = -2172. What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29077, 27097, 23797, 19177, 13237, 5977, -2603?\nAnswer: -12503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 21*r + 15. Let o = 139 + -159. Does 91 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -20*y**3\/9 + 233*y**2\/3 - 46*y - 215. Factor c(b).\nAnswer: -2*(b - 23)*(10*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 231.462549s?\nAnswer: 0.0026789646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2299) - (-4 + 3*sqrt(2299))) + -4 - (sqrt(2299) + 0 + sqrt(2299) + 4 - 1*(sqrt(2299)*2 - sqrt(2299))))*-6)**2.\nAnswer: 38016*sqrt(19) + 2981808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v - 14. Let g(m) = -3*m + 5. Give 17*g(b) + 6*r(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let y be z(-6). Let a(f) = -4*f - y + 8*f - 7*f. Let x(n) = -n**3 + 7*n**2 + 7*n + 4. Let k be x(8). What is a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 668.\nAnswer: 37408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073131?\nAnswer: 1073131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscvvzssscvssvvucv. Give prob of sequence svuc.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:02 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*260\/(-1872)*285\/(-95).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 0*c**2 + 4*c**2)*(-21*c**2 - 26*c**2 + 17*c**2) as d + m*c**4 + q*c**2 + a*c**3 + k*c and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - w - 1 - 1. Let k be h(2). Suppose -3*v + 4*v = k. Solve 2*q = y - 4 - 5, 3*y - 19 = v*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308 - 307. Let p(v) be the third derivative of 3*v**6\/40 - v**5\/60 + v**4\/24 + 133*v**2 + v. Determine p(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - 2*j + 4. Suppose 0 = -3*i + i - 3*i. Let v be y(i). Find the second derivative of 8*s - 4*s**v - 6*s**4 - 5*s**4 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539413.56 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**(4\/5)\/j*j*j*j)*j))\/j)\/((j**8\/j*j)\/j)*j**(-1\/2)\/j**(-2) assuming j is positive.\nAnswer: j**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Suppose -11 = -4*j - 23. What is f(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10010100011?\nAnswer: -10010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -27, 0.076, -13?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 15*l**2 - 30*l + 10. Give m(-9).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(36)*-3 - sqrt(4)))\/((sqrt(30) + sqrt(120) + sqrt(120) + sqrt(120)*2)\/sqrt(6)).\nAnswer: -sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021581892 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(-315)*(-4)\/(-14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1054 and 70091?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 6*u. Suppose -3*h + 23 + 37 = u. Suppose 3*c + 16 = 4*g - c, 2*g = -2*c. Solve -k + 14 = 5*y + g*k, -5*k = 5*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12131 (base 6) in base 8?\nAnswer: -3367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 185 = -5*p, -3*p - 295 = -3*o + p. What is the greatest common divisor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -1\/2*b**4 + 0*b + 0*b**2 + 3 + 5\/3*b**3. Find the third derivative of q(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by -6.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*b**3*l**3 - 13*b**3*l**2*n + 2*b**3*n**2 - 2*b**2*l*n + b*n**2 - 198*l**3*n**2 + l*n wrt b?\nAnswer: 366*l**3 - 78*l**2*n + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -12 - 980\/56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173298384.\nAnswer: 2, 3, 7, 171923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 7*r**6\/40 + 8*r**3\/3 - 39*r**2\/2 - 38. Let v(j) be the second derivative of x(j). What is the derivative of v(a) wrt a?\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwwcyycwwckko. What is prob of picking 1 k and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 - 43 - 3*g + 2*g**3 + 10 + g - 3*g**3. Let t be v(-6). Solve 9*p = 6*p - t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 30?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 14) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2564317701 to the nearest integer?\nAnswer: 50639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/21)\/((-4)\/(-6)). List the prime factors of k + (0 - 3) + 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244 at most 6192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j = -108*j + 61*j + 79 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/120 - 223*z**4\/18 - 66007*z**3\/12 + 66603*z**2\/2 + 4*z - 220. Factor d(f).\nAnswer: -(f - 2)*(f + 447)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4 + 1292231*b**3 - 3046649*b**2 wrt b.\nAnswer: 48*b + 7753386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 71085992.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -0.06 (b) -0.2 (c) 2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*x**2 + 0*x**2 + 3*x**2)*(2 + 9*x**2 - 24*x**2 + 16*x**2).\nAnswer: 30*x**4 + 60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -850410000 to the nearest one million.\nAnswer: -850000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*l - 9732 = -160*l. Suppose 1140*i + l = 1141*i. What are the prime factors of i?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 6 - 6)*(-6*o + 3*o + 5*o)*(-2 - 4 + 5)*(0*o + o + 0*o)*(3 - 1 + 3).\nAnswer: -190*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1078*m**4*u**2 - 2188*m**4 + 84215*m**2*u + 2*m*u**2 - 62*m wrt m.\nAnswer: 25872*m*u**2 - 52512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {z: 4, y: 2, h: 3, g: 6, d: 2}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5386744 and 67\/16?\nAnswer: 10773488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 31*h**2 + 4 - 80*h**2.\nAnswer: -49*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**3 - 5*v**2 - 14*v - 1. Let h(q) = -9*q**3 + 5*q**2 + 13*q + 1. Let t(g) = -3*h(g) - 2*l(g). What is the tens digit of t(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11*s = -14. Let g be 2\/14*7 - -1*s. Factor -j**3 + 2*j**3 + 11*j**g - 8 - 20*j + 332*j**2 - 316*j**2.\nAnswer: 4*(j - 1)*(j + 2)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(1 - 10\/6). Let f be 102\/357 + 264\/7. Let w = h + f. What is the highest common divisor of w and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46 (b) -3\/16 (c) 5 (d) -0.0856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)*r*r**(-1\/12))\/(r\/(r**(1\/2)*r))**0*(r**(7\/2)\/(r\/r**(-3)*r))**(12\/11) assuming r is positive.\nAnswer: r**(-739\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -c*t - 108 + 813 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45320 is divided by 1162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*b**3*f + 3*b**3 + 3*b*f - 38*b wrt b?\nAnswer: -198*b*f + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3832.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978*r = -578*r - 90248 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:48 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) -0.07 (b) -8 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 60, -1\/4, 0.2, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9919.5591268 - -2.1178732. Let g = m + -9931. Let a = g - -9.7. Round a to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/17 - 82062*t\/17 + 164116\/17.\nAnswer: 2*(t - 41029)*(t - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 3, r: 2, g: 2, f: 8}. What is prob of picking 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 210093.\nAnswer: -84037.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 57136532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -83. Suppose c - 31 = 4*v. What is the remainder when 128 is divided by (v\/17 - (-75)\/85)*13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35, 2\/13, -2, 2, 27, -0.51, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a418a43 + -5?\nAnswer: -a418a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4122?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31459 is divided by 907?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -582, -570, -556, -546, -546, -562, -600, -666?\n\"Answer: -o**3 + 7*o**2 - 2*o - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 3460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22428288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2739\/46 - -7189783\/120750. Let o be (913444\/8 - 1)\/10500 + -3. Let t = p - o. What is the common denominator of t and -31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -857 and -855 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 139.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*v + 28 + 4*v**3 - 28 - 246*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -393 - -392. Let y = -1.17 - -78.17. Which is the third biggest value? (a) k (b) -3\/2 (c) y (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Suppose -2*l + 2*y - 2 = 0, -4*l - 5*y + 8*y + r = 0. Let j(a) = 3*a**2 + 103*a - 203. What is the least common multiple of l and j(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257, 1623, 2205, 2979, 3921, 5007, 6213?\nAnswer: 7515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let j(l) = -l**3 + 5*l**2 + 5*l - 4. Let m be j(p). Suppose -1 = 2*r - 3. Sort m, -1, r in descending order.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46454.\nAnswer: 2, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*u + 4, 3*u - 5*u + 21 = -x. Suppose u*j + 2 = 9*j. Let k(g) = 41*g**3 + 2*g**2 + g + 1. Is k(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -1951\/86?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = 4*r + 170, -r - 40 = -w. Let d = 105 + r. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/((-132)\/(-253)))\/((165\/(-825))\/((-1)\/(-5))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyhhhye. Give prob of sequence hyh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/7 - 12662*u**4\/7 + 20021766*u**3\/7 + 60230006*u**2\/7 - 80239112*u\/7 = 0.\nAnswer: -4, 0, 1, 3167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 0.4 (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361327 is divided by 1680646.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 - w + 1. Calculate a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6071*l + 88082 + 179042 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/80)\/(7\/6 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d + 25. Differentiate -267 - 225 + 5*j**2 - d*j**4 + 392 with respect to j.\nAnswer: -20*j**3 + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1109171414 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/6)\/(2\/3). Suppose 70 = o + 4*w, -4*o - z*w + 120 = -2*o. What is the units digit of 2\/(-6) + o\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 = z, -5*z + 4*b - 9 = 3*b. Let l be 3\/(-7 - -4) - (z + 0). Let p(g) = 2*g - 2*g - g + l*g. Let r(f) = 4*f**2. Determine r(p(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*-1*(-2 + sqrt(363)*-2).\nAnswer: 48 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(7 - (-424)\/(-72)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 - 62 = 38*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.21 times 2846?\nAnswer: 34749.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.3 in 4, -4\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.5, -0.16, 2\/7, -1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4448*c + 1120401. Give r(252).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -129276.\nAnswer: -11\/129276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -423*t - 1147. Calculate r(0).\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93288 and 11596416.\nAnswer: 150753408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 (base 3) in base 13?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let t be i(4). Does 24 divide 74\/t - (-6)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*216\/(-6720))\/(((-2)\/10)\/(12\/36)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 23. Suppose 4*g = 3*o + w - 45, -5*o = -g - 49. Let u = 6 - 0. Calculate the remainder when o is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 8. Let u(z) = -5*z**2 + 12*z - 1. Let r(q) = -q**2 + q + 1. Let a(t) = -4*r(t) + u(t). List the prime factors of a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = 2*u - m, -5*m = 3*u + 33. Suppose 0 = -4*l + 5 - 1. Sort -1, u, l.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jddisidsdjddcsc. What is prob of picking 2 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -1, 1, 84, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8cb (base 14) in base 12?\nAnswer: -1658b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) - (-1060)\/50. Suppose 5*m = -2*m + t. Solve -2*c - m = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from uuke?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.128 + -0.28.\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10608)\/26*(4 - 5). What is the greatest common divisor of 357 and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 1503 + 1513 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17793.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -ba (base 16) to base 14\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 235435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/8)*w\/(w*w**(-2\/3)*w)*(w**(-1\/4))**6*(w**(2\/5))**(-25)*(w*w**(-3\/4))\/w**(-2\/7) assuming w is positive.\nAnswer: w**(-1877\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 476485, 476491, 476495, 476497?\n\"Answer: -n**2 + 9*n + 476477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4110 and 60645790?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 14022*s\/7 + 2285896\/7.\nAnswer: 2*(s - 6844)*(s - 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -293570, -293598, -293660, -293768, -293934, -294170, -294488, -294900?\n\"Answer: -2*w**3 - 5*w**2 + w - 293564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3.9, 1\/51, 0.18?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (7 + -1 + -2 + -11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 - -73. Let t = w - -104. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**2 + 3*n**3 + 7*n**3 + 2*n**2 wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12000 is divided by 132?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470241 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 - 77. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 136*s**2 + 135*s.\nAnswer: s*(s - 135)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743 - -661 - (-53 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**3 + 6*t**2 + 2*t + 6. Let s(r) = 11*r**3 - 17*r**2 - 6*r - 17. What is -17*b(c) - 6*s(c)?\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4265505 divided by -3\nAnswer: -1421835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*p - 76*p + 509*p**3 - 1 - 506*p**3 + p**2 + 1 in the form h*p + i*p**3 + g*p**2 + r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 5 - (-3 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729432.\nAnswer: 2, 216179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11881*z**2 - 13375*z**2 + 25255*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-26\/7)\/o**32*o*o**(-13\/3)*((o*o**(1\/3))\/o)\/o)**(5\/3) assuming o is positive.\nAnswer: o**(-1390\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*z - 56 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) -15\/2 (c) -3\/34 (d) -40\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 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: Let g = -26 - -76\/3. Suppose -f + 4*f + 20 = 5*t, -t - 4*f + 4 = 0. Suppose -t*p = -b - 2*b - 2, -1 = -b + 3*p. Is b less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 + 19*i**3 - 48*i**3.\nAnswer: -62*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748719743.\nAnswer: 3, 43, 13555967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6*q - 12 - 4 + 69*q - 60*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + 3 - 4) + (3 - -1). Let b(j) = 8 - 8 - 24*j - m*j. Let z(q) = q**2. What is z(b(x))?\nAnswer: 1225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2)\/sqrt(3) + sqrt(8)*-1*4.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9*2)\/((-6)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 - o. Suppose 0*t = t + 2. Let a be q(t). Calculate the highest common divisor of a and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) - sqrt(99)*5))\/sqrt(9).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -665, -2039, -4409, -7841, -12401, -18155, -25169?\n\"Answer: -11*t**3 - 432*t**2 - t - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15570, -15563, -15552, -15537?\n\"Answer: 2*d**2 + d - 15573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.135 decades in centuries?\nAnswer: 6.4135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1100) + sqrt(1100) + 3) - sqrt(1100)) + sqrt(1100)*2*-4)**2.\nAnswer: -540*sqrt(11) + 9981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -595.52548 rounded to one dp?\nAnswer: -595.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13? (a) 0.5 (b) -1\/8 (c) -215836\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 514*v - 513*v - 18, -3*x - 2*v = 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4605 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -32*x - 4. Let r(w) = -w**3 - 7*w**2 + w + 5. Suppose 0*c + 4*k - 16 = 4*c, -3*k = -2*c - 5. Let n be r(c). Is l(n) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -234098 and 603.7.\nAnswer: -233494.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 11797*i - 552264. What is h(47)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjiijrr. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(-5\/2)*u)*u**(2\/29)*(u**(-3\/2))**31 assuming u is positive.\nAnswer: u**(-1448\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504892.\nAnswer: 2, 439, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 51*m**2 - 2*m + 117. Let z be b(51). Solve -33*v = -28*v - 5*p - z, 0 = -5*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20036890 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 43*h**2 - 80*h + 94. Let u be t(-41). Suppose -u*d = -3188 + 1016. What is the remainder when d is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {l: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*f + 105*f + 72*f)*(3*f**4 - f**4 - f**4) - 4 + 4 + 3*f**5.\nAnswer: 42*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h**4 - 148479*h**3 - 274305*h**2 + 217023*h + 342810 = 0 for h.\nAnswer: -2, -1, 15\/13, 3809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217744*s**2 - 39*s**3 + 97260*s**2 + 120484*s**2.\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 0*w)*(-2 + 2 + 1) - 2*w - w + 2*w - 12*w - 5*w + 6*w + (-3 + 0 + 5)*(2*w - 3*w - w) + w - w - w - 3*w + 7*w - w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 14. List the prime factors of m(14).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420.9*-89.7\nAnswer: 37754.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.68452 months in millennia?\nAnswer: 0.00722371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:29 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 8.4, -2\/9, -0.0173.\nAnswer: -2\/9, -0.0173, 8.4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*d = 43, 3*d = 3*w + 4*d - 37. Factor -8*l**2 - 20*l**2 + w + 8*l**3 - 2*l + 0*l**2 + 10*l**2.\nAnswer: 2*(l - 2)*(l - 1)*(4*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604*t**4 + 187*t - 1 wrt t?\nAnswer: 7248*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 400*b**2. Let l(v) = 510*v**2 - 246*v**2 - 265*v**2. Give t(l(o)).\nAnswer: 400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87610905.\nAnswer: 3, 5, 1946909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/2 + 89*a\/2 + 86581 = 0.\nAnswer: -374, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**3 + 1659 - 1659 - 31*j**2.\nAnswer: -21*j**3 - 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5843 = -63*u - 110. What is the greatest common factor of u and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqvvvvvkk. What is prob of sequence kv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/213 - (2873772\/44517 + -61)) + 3?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(72)\/sqrt(3)) + sqrt(24))\/sqrt(3)*-1)\/((sqrt(48) - 3*sqrt(2352))\/sqrt(12))*4.\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 8*m - 5. Let k be w(7). Suppose 5*s + k*t = -t + 254, 12 = 4*t. Suppose -2*y = -f - y + 21, -2*f - 5*y = -s. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:45 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from aauuttatuatuuuautu.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -20, -42, -80, -140, -228?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440*b + 7163*b - 1449*b - 1423*b - 1422*b - 1418*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1)))\/u*u*u\/(u\/u**(-1\/6))*u)\/(u**(2\/7))**(-3\/35) assuming u is positive.\nAnswer: u**(-209\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/15)\/x))**(6\/13) assuming x is positive.\nAnswer: x**(56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -129*m + 4776. Let u be c(37). Let g = -2 + 2. Suppose d + 3 = -g*d. Sort 2, u, d in ascending order.\nAnswer: d, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 - -194. Let i = -7 + 1. Calculate the remainder when 506\/10 - i\/15 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g = -2*y - 22, 5*y - 5*g + 16 = -39 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 972*p**2 + 1402*p + 1198*p**2 + 238*p + 61*p wrt p.\nAnswer: 4340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g + 3*g. Find the common denominator of (2\/g)\/((-16)\/105) and -1 + 2 + 19\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 356?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316860 is divided by 8534.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1219020 + 1218800.0097. Let p = -165.4 - 54.6. Let w = p - z. What is w rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w**3 + 20943*w**2 - 20943*w**2 + 41*w**3 - 1879*w.\nAnswer: -2*w**3 - 1879*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006960317 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8*(-7)\/(-28))\/(-2))\/((-3)\/(-54)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 - 2*p - 7. Let y be v(5). Suppose -y*n = -2*t - 4*n + 10, -4*t - 2*n + 40 = 0. What is the greatest common divisor of 72 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9040500 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*i + 890*i + 557*i.\nAnswer: 2282*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 2 + (2 - -896)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1.1, 652, 65, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -65*k + 6937. Let j(o) = 16*o - 1734. Let z(b) = -23*j(b) - 6*l(b). What is the derivative of z(h) wrt h?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*k**2\/2 + k.\nAnswer: k*(57*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + b + 2. Let k be t(5). Suppose -k + 4 = -x. Suppose -54000 = x*m + m. Round m to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1063\/2025 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 7, 14, 21?\n\"Answer: 7*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 31705047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 86, 156, 292, 518, 858, 1336?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 6}. What is prob of sequence dxd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - h = 11, k + 5*h = 5. Suppose -3*w + i = -80, 3*i - 5*i - 82 = -3*w. Let j = w + k. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 6. Let y(r) = 2 + 5 - 6. Let q(c) = -5*y(c) + z(c). Let g(o) = 6 + 2 - 10 - 4 + 5 - 2*o. Determine 4*g(v) + 3*q(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x)*(1 - 2*x - 1) + 5*x**2 - x**2 - 2*x**2 + (-3*x - 2*x**2 + 3*x)*(-2 + 2 + 2) + 0*x**2 + x**2 + 0*x**2 + (2*x - x - 2*x)*(9 + x - 9).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/3, 173, 1\/3, 4, 1, 1\/9 in ascending order.\nAnswer: 1\/9, 1\/3, 1, 4, 32\/3, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/(-3 - -53)). Let i = l - 17. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11027 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = -4*v, 17556*s - 5*v = 17553*s - 41 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/60*10\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q**3 - 5*q**2 + 21*q - 5. Let r(o) = o**3 - o**2 - 1. Let x(p) = -b(p) + 5*r(p). What is the second derivative of x(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10200587 is divided by 728594?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.32 and -325.\nAnswer: -320.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d + 0*d)*(-5 + 5 + 2) + 1658*d**3 - 3237926*d + 3237926*d.\nAnswer: 1662*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5 - 11. Calculate the remainder when 35 is divided by (2 - -9) + 3 + p + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -361948, -723933, -1085938, -1447963, -1810008?\n\"Answer: -10*j**2 - 361955*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -30*d**2. Let p(i) = -10*i. What is p(k(h))?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69324\/(-1272) - (2 + (-28)\/8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*b**4 - 2*a**3*b + 138*a**3 - 29*a**2*b**4 wrt b?\nAnswer: 12*a**3*b**2 - 348*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8628018 divided by -98\nAnswer: -88041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 58, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-4 - (6 + -7) - -21) - -14\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 5*p + 20, -5*u + 2*p + 8 = 0. Let f be -3 - (-1 - u) - 1. Is 14 a factor of (2 + f)\/((-1)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4972263 and -6?\nAnswer: -29833578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 + 2*i**2 - i. Let p be w(1). Suppose 0 = -p*f - 0*f + 385. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 6. What is the remainder when (-1 - (-9)\/d)*19 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55751976 and 1229823?\nAnswer: 167255928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0 (c) 1 (d) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbx when three letters picked without replacement from {z: 5, b: 3, x: 1, s: 11}?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61, -148, -503, -1010, -1675?\n\"Answer: -d**3 - 67*d**2 - d + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 27 = -13. Solve v + 1 = 3*x, 3*x - 1 = v + t*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**2 - 7*i + 10. Let r be n(4). Suppose 4*o - 2*w - r = 120, -5*o - 3*w + 491 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573834*p - 1147670*p + 573833*p - 10.\nAnswer: -3*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - z - 1. Let o(x) = x**2 + 4*x - 7. Let j be o(-6). Suppose 2 = 3*h - 4*y + 5, 5*h - 5*y = 0. Suppose h = -j*k - 2. Determine d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 1.4. Let y = o + 6. Which is the second smallest value? (a) y (b) -3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 13*n + 472. What is d(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001433120 (base 5) in base 9?\nAnswer: -3652807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301241 (base 5) in base 12?\nAnswer: -126b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 165, 164, 167, 174?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**4 + 44*v**3\/3 - 16*v**2 - 16*v + 46. Factor d(z).\nAnswer: -4*(z - 2)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-130)*30\/(-3). Is n != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -191719*p + 232. Let y(q) = 4123*q - 5. What is -5*j(v) - 232*y(v)?\nAnswer: 2059*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36*(-1)\/(-2)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1095 divided by 5\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -50528 divided by 8?\nAnswer: -6316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/195 or 1?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*l**6 + 8696*l**5 - 369189*l**2.\nAnswer: 2040*l**3 + 521760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:41 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d7 + -5?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8148325849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 1. Suppose -p = -2*s + s. What is the common denominator of 51\/4 and (-8 - 5)\/((-14)\/s)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983252131 to the power of 1\/9, 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 8589240.\nAnswer: 2, 3, 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m + k - 116, -4*m - k = -476. Suppose 0 = -3*n - 12, -6*y = -4*y - 2*n - 66. Let p = y - 14. What is the highest common factor of p and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 10 = -4*a, -l - 2*l - 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4531*y + 67952. Give m(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -101\/6 (c) -4 (d) 0.09 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 30, 28, 26, 24?\n\"Answer: -2*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -207017957 - 2\nAnswer: -207017959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2. Let k(c) be the second derivative of 2*c**3\/3 - c**2 + c. Let n(z) = 5*j(z) + 4*k(z). Is n(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**4 - 12*p + 24*p - 3*p + (p**2 + p**2 - 4*p**2)*(-p**2 + 3*p**2 - p**2) to the form a*p**4 + n*p + u*p**3 + z*p**2 + l and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 37 = -55 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 5*w + 1. Give m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) - (-2 + -1*sqrt(7))))**2 - (-3*sqrt(28) + (sqrt(7) - (0 + sqrt(7))*-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.0776302.\nAnswer: -3.0776302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 + (-52 - -14) + (1 - -2 - (-42 - -55)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2621 divided by -31\nAnswer: -2621\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/(162\/270)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59402.\nAnswer: 2, 7, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/156*8\/48?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 11. Let p be c(-5). Suppose -z - 1810 = 5*r - 6*z, r = -5*z - 356. Let i = 364 + r. Sort -1, p, i.\nAnswer: -1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -958886 at most -958889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5483 = -1843. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4199 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -2\/3*b**3 + 0 + 1\/15*b**4 + 0*b + 1\/300*b**5 - 314*b**2. Factor o(l).\nAnswer: (l - 2)*(l + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -81. Is (h\/(-3))\/(100\/525) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 7*u - 116. Let k(r) = r**2 + 5*r + 79. Let y(j) = -7*k(j) - 5*m(j). Let q(d) = 2*d. What is q(y(c))?\nAnswer: -4*c**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-18)*(-4)\/(-2). Suppose -2*k + t*u = 2*k - 81, 3*k - 57 = u. Let i be (-94)\/294 - (-6)\/k. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 223, 606, 1351, 2578?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - 155\/10. What is the remainder when 96 is divided by (-1)\/((-1)\/o)*4\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2331\/16, -3, 1, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55127 + -44?\nAnswer: 55063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 12) to base 5\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 456609978622?\nAnswer: 456609978626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -404134204?\nAnswer: 404134201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 137.\nAnswer: -3, 2, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 554, 760, 1104, 1586, 2206, 2964, 3860?\n\"Answer: 69*c**2 - c + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 300\/37073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371888013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 792 = -5*c + 5*c. What is the least common multiple of c and 54?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(4*x + 0*x - x) + (-1 + 0 + 2)*(4*x - 5*x + 0*x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let h = 3 + -1. Let p(w) = 2*w - 2*w**h + 0*w - 2*w. Suppose 6*j + 25 = 19. Give j*p(s) + 6*o(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k*k*k)\/(k*k**10))\/(k**(1\/6)*k\/((k**(-1\/3)*k*k)\/k)) assuming k is positive.\nAnswer: k**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -7. Let k be (-2 - g)*6\/(-5). Suppose 3*j - k*j + 9 = 0. Solve j*b - 4 = -13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*a - 28 = 0, -3*a = -1604*k + 1599*k + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-4)*(-195)\/(-25) and -3 + 2 + (-34)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1462 - 1476.01. Let p = 3.89 - l. Round p to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*u**6 - 5*b*u**3 + 173*b*u**2 - 179*u**3 - 492*u**2 wrt u?\nAnswer: 720*b*u**3 - 30*b - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 5*r**4\/12 - 2*r**3\/3 + r**2. What is the units digit of y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000156046277 rounded to six dps?\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + u + (5*u + 3*u - 10*u)*(1 + 0 - 2))*(-u + 4 - 4)*(0 - 1 + 2)*(-2 - 4 + 2).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -62 + 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 11*n**2 + 13*n - 20. Calculate b(9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -53\/12*j**4 - 32*j**2 + 205\/9*j**3 + 4\/15*j**5 + 12*j - 8. Determine h, given that w(h) = 0.\nAnswer: 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650369980 and 1534.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 846110 less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s. Let t(y) = 424*y + 18. Let a(r) = 1905*r + 80. Let h(i) = -9*a(i) + 40*t(i). Determine h(q(b)).\nAnswer: -3700*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. What is the second derivative of u + 2*u**4 + 17*u**3 - 4*u**w - 13*u**3 wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 - 74. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {v: 4, g: 4, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65350 by -5.\nAnswer: -13070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/34436559 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2436*d + 4393*d - 2696*d.\nAnswer: -739*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 = 2*l. Suppose -m - m = z - l, 0 = z + 4*m - 10. Suppose -3*f + k + 176 = 0, -z*k - 23 + 84 = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47467 (base 10) to base 4\nAnswer: -23211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -754 - -878. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2351061.\nAnswer: 2351060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 36 + 15 = 0. Suppose m*y - 29 + 23 = 0. Factor 4\/5*s**3 + 0*s**y - 4\/5*s + 0.\nAnswer: 4*s*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 44 = -61 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by (-38)\/((-136)\/(-476) - ((-80)\/21)\/(-4))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 10*d + 0*d + (4 + 3 - 5)*(-2*d - 3 + 3) - 4*d + 2*d + 3*d)*(0 - 4 + 5)*(-4 - 1 + 4)*(-4 + 4 + d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {f: 15, e: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-3)*q)\/q)\/q**(2\/7))\/(q**(-2)*q)**(-48))\/(((q**(-1)\/q)\/q*q*q)\/q**(1\/4)*q**6\/(q*q*q**3*q)) assuming q is positive.\nAnswer: q**(-1401\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869 + 855 + 859 - 2583 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/425)\/(6225\/(-622500))\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/4 - 43403*p**2\/4 = 0. Calculate p.\nAnswer: -43403, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:23 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336*-3.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*m - 4*r, m - 4*r = -3*r - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200407 and 13?\nAnswer: -2605291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -2\/23 (c) 0.2 (d) -2\/9 (e) -0.3 (f) -20.172 (g) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-1248)\/(-768))\/((-143)\/(-110)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110 + -11011100011?\nAnswer: -11101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 55784648*-1\nAnswer: -55784648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -25 + (53 - -7) + -15\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000258687 rounded to seven dps?\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) + (-780)\/42. Let r = -2 - l. Calculate the remainder when 32 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q*x*y + 15*q*x - q*y + x + 413*y wrt q?\nAnswer: -2*x*y + 15*x - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, 3, -3 in ascending order.\nAnswer: -17, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(11)*-6 - sqrt(11)) + -1 + sqrt(11) + sqrt(11) + -1)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17234450, -17234449, -17234448, -17234447, -17234446, -17234445?\nAnswer: -17234444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21465 and 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -142155519795 minus 2?\nAnswer: -142155519797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111741451 and 3838?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -5\/6*j**3 + 0 - 3*j - 27515\/6*j**4 + 5\/2*j**2. Let l be t(-13). Round l to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.63132 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*234.\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2704420.\nAnswer: 8113260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + (-27)\/(-4). Suppose v - w - 2 = 0. Let z(r) = 6*r + 1. Let j(l) = -57*l + 2 - 67*l + 137*l. Give v*z(h) - 4*j(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 135. Calculate the least common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15582 by -318.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12623 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14533414 (base 6) in base 15?\nAnswer: -a123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 67.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 687704663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16819059 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3244101003 - 3?\nAnswer: -3244101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 2. Let b be n(-8). Suppose b*l = l + 5. Calculate the remainder when 37 is divided by (-304)\/(-80)*l*5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.007097 and -9.\nAnswer: -9.007097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 227 + 459 + 6*y**3 + 29*y**3 + 354*y**2 + 832*y + y**4 = 0. What is y?\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2) + (-6)\/(-2). Suppose -3*y + 2 = -4. Suppose -2*z = 5*s - 1, s + 4*z = -5 - y. Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 times 5?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 - (-32)\/63. Let s = -0.05 + -2.95. What is the closest to 0.1 in s, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -14 + -21 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in -1\/9, -69, -0.4, 0.331?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6171502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 259155?\nAnswer: 259150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -27*w + 743. Let o be q(27). Solve -o*b = -7 + 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3028, 3065, 3176, 3397, 3764?\n\"Answer: 6*p**3 + p**2 - 8*p + 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 100466*z**3 + 2*z**2 - 3*z + 4. Let k be v(4). Let b = k + -552092. Let s = b + 3822244. What is s rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 24*z**2 - 2*z + 6. Let d = 103 - 109. Let g be b(d). Solve -v = -0*k - 3*k + 14, v = -5*k + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -303*g + 4. Let d(o) = -334*o + 3. Give 4*a(c) - 5*d(c).\nAnswer: 458*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1152 (base 15) to base 6\nAnswer: -25005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/8 - 511*k**2. Let h(y) = -2*y + 23. Calculate h(r(q)).\nAnswer: -6*q + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10001110022020 (base 3) to base 8\nAnswer: 6141700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 945.65 and -1.\nAnswer: -945.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 411714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 5*y + 5*y**2)*(0*y**2 + 0*y**2 + 2*y**3) - 797*y**2 - 29*y**5 + 797*y**2.\nAnswer: -19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-456)\/(-80)*760\/228\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*a - 39745 + 39712, a = 2*n - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**21*f)\/f**(-1))**(5\/6) assuming f is positive.\nAnswer: f**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-6))\/(4 - 2204\/552)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 25. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/2 + 467*f**2\/10 - 1927*f\/5 - 808\/5 = 0.\nAnswer: -101, -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -55*n**5 - 1600*n**4 - 10875*n**3 + 11250*n**2 = 0.\nAnswer: -15, 0, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4824)\/234)\/((-242)\/(-1573)).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355 (base 8) to base 10.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353 + -335. Suppose -5*j = -0*j - 260. What is the remainder when j is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-30)*6\/(-8). Suppose 2*v - 9 = b, -4*v + 6 = l*b - 0*b. Let j be (b\/(-2))\/(6\/(-8)). Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/195)\/(11928\/280)\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 5*h - 2*h**4 - 49*h**3 + 44*h**3 + 5*h**4 + 2*h**4.\nAnswer: 5*h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 332584*h + 6913257316 = 0. Calculate h.\nAnswer: -41573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2229*d**2 - 2240*d**2 - 2162*d**2 - 2244*d**2 + 8871*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 3*c - k, 5*c + 524*k - 80 = 537*k for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4439, 4428, 4417, 4406, 4395?\nAnswer: 4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-258))\/((-2)\/12*2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -l - 5, 40 - 18 = 4*c + 2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 8*m = -4. Suppose 0 = 5*t + 1 + 19. Let n be t + 0 - 8\/(-2). Solve n*x + x = -m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(75) + (sqrt(54)\/sqrt(2))\/sqrt(9))**2 + (1 + sqrt(108) - (3 + sqrt(3))**2*2).\nAnswer: -66*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 4. Suppose 0 = -5*v + 4*l - 5 - 12, -2*v + q = 3*l. Let r(p) = 18*p**2. Is 18 a factor of r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*714\/420 + 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/28 - (-610)\/35. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 604 + -611. Let i be -1 + (-2 - (3 - (8 - 3))). Put i, 1, p in decreasing order.\nAnswer: 1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/6*(-9)\/3. Calculate the greatest common divisor of 50 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 20, 3, 196 in descending order.\nAnswer: 196, 37, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24, 3, -3\/8, 1.07?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39987?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46bb + -17?\nAnswer: 46a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**5 + 153*a**4 - 5222*a**3 + 170196909*a?\nAnswer: 120*a**3 + 1836*a**2 - 31332*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j + 0*j)*(1295*j**4 - 5*j**3 + 3*j**3 - 1291*j**4 - 67*j**2).\nAnswer: 12*j**5 - 6*j**4 - 201*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 5. Let w(p) = 1. Let v = -50 - -49. Determine v*s(t) + 3*w(t).\nAnswer: 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 16*h\/7 + 2.\nAnswer: 2*(h - 7)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7754515 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 412*c**3 - 10812*c**2 + 10404*c = 0.\nAnswer: 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 958, 951, 944, 937, 930?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(3))\/sqrt(7))\/sqrt(2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from {v: 2, h: 2, u: 1, p: 1, i: 1, e: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five fourteenths of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5 + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 + 4*x - 3. Let w = -643 + 650. Suppose 0 = -3*h + 2 + w. Give y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66309, 132714, 199137, 265578, 332037?\n\"Answer: 9*g**2 + 66378*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65989348?\nAnswer: 2, 43, 383659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/807511 - -23092391893\/23417819. Let g = k - 986. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18402\/1985 or -10?\nAnswer: -18402\/1985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 9. Let a be d(-9). What are the prime factors of a\/6*-2*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.265 + 8.273. Let h be (-1)\/(-1) + 9\/(-7). Is r greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252340)\/10013)\/55 - ((-36)\/(-19) + -2).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + k + 1\/2 = 0. What is k?\nAnswer: -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37062 or -185308\/5?\nAnswer: -37062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20429089?\nAnswer: 557, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/16 and 611\/(-78)*(-5)\/20.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooppoooooop.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*k**2\/2 + 27510*k - 21150 = 0. Calculate k.\nAnswer: 10\/13, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*b + 1390, -4*b - b + 1390 = 5*t. Let z = 338 - t. What is the remainder when 299 is divided by z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 162\/63) + 74712\/14 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30 + 3)\/((-12)\/8). Calculate the highest common factor of a and 8109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(500) + -1 + (1*sqrt(500))**2 + 0 - (-3 + sqrt(720) + ((sqrt(720) - sqrt(720)*-2) + sqrt(720))**2 + -5)) + 2.\nAnswer: -11017 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3. Let g(i) = -2*i**2 + 9*i - 9. Let s be g(4). Put -3, x, s in ascending order.\nAnswer: s, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*h, 488*h - 491*h + 3*o - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-6))\/(547\/3). Let g = a + -55079\/3282. What is the common denominator of g and 42\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*b - 33*b + 273*b in the form p + s*b and give s.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -29687*a**2 + 7*a - 16. Let x be n(-16). Round x to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 246409481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 8) to base 14.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9005345 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0, -3 in descending order.\nAnswer: 0, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 5*w + 4*w)*(-4 + w**2 + 4) - 3*w**3 + 4*w**3 + w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {i: 5, b: 3, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 600, 597, 594, 591?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.41285 and 1.5.\nAnswer: 2.91285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111 - -11?\nAnswer: 20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 72. Solve -q*i - 4*f - 20 = -2*i, 0 = -4*i - 2*f - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 4042*z - 23818. Let x(l) = -2*l**2 - 1351*l + 7940. Let h(d) = -4*o(d) - 11*x(d). What is the derivative of h(t) wrt t?\nAnswer: 4*t - 1307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 3, h: 4, x: 4}. What is prob of sequence xkx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 23 - (3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/6, -1.2, 9\/5, -0.4, -11 in decreasing order.\nAnswer: 7, 9\/5, 1\/6, -0.4, -1.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.059 - 0.259. Which is the second smallest value? (a) 2\/11 (b) -19 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -0.00886989.\nAnswer: 0.99113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 42410\/4 - 1\/2. What is o rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (-3 + 0)) + 0 + -3. Suppose -k - 400 = -w*m + 4*k, 3*k = 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*q + 2)*(1 + 1 - 4) + 993451 - 1078*q - 993451 to the form n*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. What is the nearest to 1\/4 in w, -2\/9, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 5:47 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 6.\nAnswer: -136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7412253 milliseconds in seconds?\nAnswer: 0.0007412253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 91*d - 329. What is g(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 - (-9 - -7). What is the tens digit of ((-4)\/x)\/(8\/(-300))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419\/26 equal to -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214932 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177453131.\nAnswer: 43, 4126817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 - -428. Let p(a) = -a**3 + 5*a**2 - 6*a + 6. Let r be p(4). Let y be (14\/3)\/r - -2. What is the biggest value in 0.12, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -451563) + 407\/37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10336*w**3 + 20664*w**3 - 10326*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1443002 and 5.\nAnswer: 7215010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 1, -0.335, -0.041, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1872) + 0 - (sqrt(39) - (sqrt(273)\/(sqrt(7) - (sqrt(14)\/sqrt(2) + sqrt(7))) - sqrt(39)))\/sqrt(3).\nAnswer: 2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Let f be h\/(2 - 14\/8). Suppose 3*b - 4*o - 28 = 0, -3*b + f*o + 60 = 2*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -25. Suppose 0 = -k*f + 4*o + 111 + 11, 0 = 5*f - o - 226. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2046.936 and -5.\nAnswer: -10234.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 354.7 + -349.7. Let o = 1 - 2. Is c at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20628307, -20628306, -20628305, -20628304, -20628303?\n\"Answer: x - 20628308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/3 - 2478932*s\/3 - 4957888 = 0. Calculate s.\nAnswer: -6, 1239472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162938 - 162964.7242. Let j = x + 26.7. Round j to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-105)*-1*118\/5)\/((-4)\/14)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(405) + 0)*-3)**2 + -5.\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -13*h + 61. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 162077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 4750?\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = 15. Let x be (-2)\/a + (-4581)\/(-45). Let m = x - 59. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 31. Suppose 5*n = -5*m - 25, 3*n - 5*m - u = -3. Sort 0, -5, n.\nAnswer: -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (99 - 204) + 59.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-68 + 66) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 1969640?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -678, 20, 0.2, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = x. Let j(f) = -35843*f - 2099*f - 24558*f. Let n be j(x). What is n rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*i + 155, -i = 5*p - 2*i - 155. Suppose x + 1 = p. Let s = x - 31. Which is smaller: s or 0.24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvffv. Give prob of sequence ff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25737.53 - -186.\nAnswer: -25551.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 7*h + 2. Let t be b(7). Let p = 1 + 1. Suppose p*o + 1 = m + 6, 11 = 5*o - m. Is o bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3611, -4327, -5047, -5771, -6499, -7231, -7967?\n\"Answer: -2*r**2 - 710*r - 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767003779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 5*t**2 + 5*t + 1. Let s(x) = 3*x**3 - 6*x**2 - 6*x - 1. Let g(k) = 5*s(k) + 6*w(k). Find the first derivative of g(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7949.744 meters to micrometers.\nAnswer: 7949744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 86 + 0 - -4 - 5. Let v = -81 + d. Find the second derivative of -r + 6*r - v*r**2 + 11*r - 2*r**2 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462912 is divided by 66123.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1109754, -2219814, -3329874, -4439934, -5549994?\n\"Answer: -1110060*n + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + j**2 - j - 1. Let q be w(-1). Let v = -4562 - -63813\/14. Calculate the common denominator of (-45)\/12 - q\/8 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a = 24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.93 + -250.2197.\nAnswer: -248.2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 1, -538, 5, -2\/7, -7.7?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = d + 11, -4*d - p + 66 = 47 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-3)*3\/(-3). Suppose -i + 3 = -r. Let c(g) = g - 4. Calculate the smallest common multiple of 38 and c(i).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63693 is divided by 12562.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 3, i: 5, w: 4}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 10 + 23)*(5*a - a - 2*a) + 2*a - 3*a - a + (4 + 6 + 1)*(3*a - 2*a - 3*a).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/700 and -137\/3360?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(19*m - 224 + 224 + 0 + 0 - 2*m + 2*m + 3 - 3 + (-1 + 1 + 2*m)*(1 + 1 - 5) - 6*m + 4*m - m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10107, 10106, 10105?\n\"Answer: -y + 10108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**(1\/2)*v)**(-50)\/(v*v**(1\/5)*v*v**5))\/(v**(1\/8)\/(v*v**(2\/5)))**(21\/4) assuming v is positive.\nAnswer: v**(-36081\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from nnboqoqoovqh.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiog when four letters picked without replacement from goiboil.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250268233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-37))**(-13)*((v\/(v*v**1))**(7\/3))**(2\/7) assuming v is positive.\nAnswer: v**(-1445\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 6*j - 7*j**2 + 4*j + 0*j + 34*j**3.\nAnswer: 34*j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -226, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c + 2. Suppose 3*m - 3*d - 18 = 0, -4*m + 7*m - 2*d - 13 = 0. What are the prime factors of t(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 - 216.907. Let n = -0.007 - k. Let o = 5.8 + -6. What is the closest to n in -3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnffffn. What is prob of picking 3 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -509.\nAnswer: 50391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzhzzzhzh. Give prob of sequence zzzz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110445 and 470436?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*t + 843, 5*t + 2529 = 104*g - 101*g. What is the smallest common multiple of g and 9?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-17) - (-3107)\/(-3536). Let h = n - -331\/80. Find x, given that -6\/5*x**4 + 0 + h*x**3 + 4\/5*x - 14\/5*x**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c - 3*c + 4*c - c + 6*c + (0 + 0 - 2)*(-2*c + 1 - 1) + 0*c + 3*c - 5*c)*(-2*c**2 + c**2 + 3*c**2).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27185 + 0.42815. Let z = 0.8 - 1. What is the fourth smallest value in z, -4, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 - (-3 + 4 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 6\/293693, -1?\nAnswer: 6\/293693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.1. Let g = -169 + 170. Sort m, -5, g in descending order.\nAnswer: g, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxlxxlxxxxxlxxxx. Give prob of picking 2 l and 2 x.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*(-3)\/(-14). Suppose -j + 5*r = 2, -j = -0*j + 4*r + 2. Let z = -0.8 - -0.3. Which is the closest to 0? (a) z (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 2*y**2 - y - 4. Let v be p(3). What is the greatest common factor of 95 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5488484, -5488491, -5488498?\nAnswer: -5488505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15687 and 40824.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 152?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-1) + 302 + 0\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69596658 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + 32. Let a(m) = -3*m - m + 91 - i. Let r(h) = h**2. Calculate r(a(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 + v**2 - 3*v - 28. Calculate z(3).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370380?\nAnswer: 2, 3, 5, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.9 + -78.9. Which is the third biggest value? (a) 0.4 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22760 is divided by 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(0 - 0). Let n be 2 + 3 - 4*(-13)\/(-26). Suppose 3 = -b*c + 4*c - n*d, -2*c + 5 = -5*d. Is c > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40650 = -30*i + 39060. Suppose -4*n = 3*s - i, -5*s = -3*n - 7*s + 1994. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, k: 3, a: 1, t: 3, u: 2}. Give prob of picking 2 k, 1 v, and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 210968*m**3 + 51.\nAnswer: 210968*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.2519635 rounded to 3 dps?\nAnswer: -77.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2. Suppose 5*b - 5*l - 870 = 0, 3*b = -5*l + z*l + 540. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:10 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 44*g**2 + 40*g - 31. Let d(j) = -3*j**3 - 90*j**2 + 80*j - 63. Let h(r) = -2*d(r) + 5*q(r). Let u be h(39). Solve 2*k - u + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 12 - 7)*(47 - 47 - 4*c) - 15*c - 19*c + 19*c + 2 + c - 2 as b + g*c and give g.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:39 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 - c + 3. Let m be u(0). Factor 14*d**m - 3*d**2 - 3*d**4 + 0*d**3 - 8*d**3.\nAnswer: -3*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 4*a**2 - 2*a)*(5 - 2 - 2)*(-13*a + 15*a - 16*a) as h + z*a**2 + c*a + v*a**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let h be (l\/3)\/(-2)*9. Factor -m**3 - h*m**5 + 4*m**5 + 0*m**3.\nAnswer: m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5 = -y. Let b = y + -3. Let q be 6 + 3*(-2)\/3. Solve -b*d + 6 = -4*x - d, -d = x + q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - 3a80?\nAnswer: -3a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527156, -527177, -527198?\nAnswer: -527219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317851 is divided by 3211.\nAnswer: 3173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 1:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396708445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 217028 - 217028 + 2*t**2 - 2*t**2 + 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1103991.6?\nAnswer: -1103991.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - sqrt(2448)*3) + sqrt(2448))*-3 + sqrt(2448))**2 + ((-1*sqrt(170) - sqrt(170))*-2)\/sqrt(10).\nAnswer: 4*sqrt(17) + 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + -17 + 14 - 197.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*c - 20 = 0, -t - 3*c - c = -22. Let x be (-6)\/(1 + 1) + 5. Suppose -x*l - 5*h - 6 = -2, 3*l + 3*h + 6 = 0. Sort l, t, 5 in descending order.\nAnswer: 5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 - 51*f - 53*f + 107*f + 0. Let g(i) = -i + 1. Calculate g(k(t)).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 9}. Give prob of sequence lql.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 8*q - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311241 (base 8) to base 9.\nAnswer: -615876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000495239 rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1088)*-1)**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126\/5 - 25. Suppose 15*o = 13*o + 6. Put 11, f, o in decreasing order.\nAnswer: 11, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1067331\/65 + -16421. Calculate the common denominator of m and 50\/91.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 - 16 = 0. Let u(f) = -9*f + 3*f**2 + 2 + 2*f + w*f. Determine u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 30 = 3*b - 5*c, 0 = 5*b - 2*c + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10170 + -10132. Solve 8 = s*p - 34*p - 4*f, -1 = -2*p + f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 74*r + 1033. Let v be h(55). Let i = 1 - 1.4. What is the second smallest value in v, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - (3 + 11)) + -1 + 13 + -6.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122313 (base 6) to base 12\nAnswer: -6399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 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 h(s) = -s**3 - 78*s**2 - 289*s + 509. Determine h(-74).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*f + 21, -2*f - 3*f + 4*u + 57 = 0. Suppose -2*m = -4*y + 6, -5*m = y + y - f. What is the second derivative of 2*v + 2 - y*v**2 - 2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r - 5. Suppose 13*u = 12*u - 3. Let t be o(u). Let v = 79 + t. Calculate the highest common factor of 65 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 11*v = -12. Suppose 0 = -4*r + 2*r + 16. Calculate the highest common factor of r and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**4 - 1 + 1)*(-107 + 6 + 7) + y - y**4 + 7*y**4 - 5*y**4 to k*y**4 + f*y + n*y**2 + l*y**3 + z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 30 + (-74 - 1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 122. Factor -10*i**2 - 73*i**5 - 72*i**5 - 76*i**5 - 5*i**a + 10*i**4 + 226*i**5.\nAnswer: 5*i**2*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-43)*(c**(1\/2))**(-3\/26)*c**6\/(c\/(c*c**5))*(((c*c*c**(4\/5)*c)\/c)\/c)\/c**(-6) assuming c is positive.\nAnswer: c**(4873\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100233 and 62826999.\nAnswer: 1319366979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*v = 2*s - 6, -2*s - 3*v = 9. Let c = s + 2. Let a(u) = 3 - 3 + 2*u**c. Let z(r) = -2*r**2. Determine z(a(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*k = -602*k + 45. Let l be 2 + -4 + -3 + k\/(-2). Which is the second smallest value? (a) -0.1 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 4 + 5*w - w + (0*w + 6*w - 4*w)*(0 - 2 + 0) + 8*w - 15 + 15.\nAnswer: 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(52*l + 543 - 543)*(7*l + 2*l + l) - 2*l**2 + 4*l**2 - 5*l**2 to the form q*l + d*l**2 + n and give d.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1325 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 11*y + 17. Let z be f(-13). Let v be (-48)\/(-72) - (-1)\/3*-35. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = -3. Let h be ((-1)\/u)\/(11\/396). Suppose -3*g = -g - h. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let q be (-36)\/(-48) + (-18)\/(-8). Put q, 5, i in ascending order.\nAnswer: i, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1 - 6*q**2 + 2 + 4 - 1 - 5*q - q**3. Let j be d(-5). Let p be j\/(-15) - (-14)\/10. Is p at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1162? (a) 3\/2 (b) 0.4 (c) -0.3 (d) 12 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 275 = -25*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48468 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 12:15 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/42 (b) 2\/17 (c) -3710 (d) 0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)\/j*j**(-2))\/((j*j**(-3))\/j**(2\/5)) assuming j is positive.\nAnswer: j**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28) + -5.\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-15)\/1440*(-8)\/6. Which is the closest to j? (a) -275 (b) 3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137 + 1?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 11)*(-2)\/6. Solve -3*r - 3 - p = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) 83 (d) -0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) -2 (b) -0.4 (c) -7 (d) -97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 376\/96 + 2 + (-5)\/300*-5. Let q(l) be the second derivative of -l**3\/6 - l**2\/2 - 7*l. Let h(y) = 4*y + 3. What is m*h(r) + 22*q(r)?\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 148*s - 105*s + 68*s.\nAnswer: -183*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**2 + 3*o + 3. Is 11 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21*((-90)\/(-147))\/(-5) and -25\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991726017.\nAnswer: 3, 10069, 32831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let h(k) be the third derivative of -1\/6*k**4 + 0*k - 5\/6*k**3 + 1\/10*k**5 - 1\/120*k**6 + k**2 + 0. Calculate h(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 2)*(-7576*c**2 + c**3 + 7577*c**2 - 14*c**4 + 5*c**3) to i*c**3 + o*c + z*c**4 + m*c**2 + t and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 9*o**2 - 4*o - 6. Let r be 60\/40*((-60)\/(-9))\/1. Calculate h(r).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39527 + -2490269\/63. Find the common denominator of r and ((-39)\/(-9))\/(70\/9).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/(-72))*261\/36. Suppose 288 + 166 = 4*s + 5*j, 0 = -2*s - 4*j + 224. Calculate the highest common divisor of k and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203677110?\nAnswer: 2, 3, 5, 7, 13, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41079 and -10.\nAnswer: 41069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1016235 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/8 - 3*h**3\/4 + 3*h**2\/2 + 5*h. Find z such that y(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.6. Let j = x - -0.38. Suppose 208*l + 195*l + 20 = 423*l. Which is the nearest to 0? (a) -1\/8 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1136 + 1591. Suppose 262 + c = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1 + -44 + 55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*k + 1211 = 0, 0 = 4*s + s - 5*k - 1225. Let h = -3157\/13 + s. Which is the closest to 2\/3? (a) 2 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. Suppose -25 = s*x - x, -u - 2*x - 13 = 0. Let f(g) = -g + 2. What is f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1927, -3864, -5801, -7738, -9675, -11612?\n\"Answer: -1937*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 125. Is l\/(-21) - 9309\/(-21) 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 38148, 38131, 38084, 37989, 37828, 37583, 37236?\n\"Answer: -3*c**3 + 3*c**2 - 5*c + 38153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2924*q + 10. Let z(d) = -d - 2. Calculate f(k) + 5*z(k).\nAnswer: 2919*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-12)*(-7 - -9))\/(-1). Let v = 0.7 - 0.2. Let o = -11 - -15. Which is the smallest value? (a) o (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -2) + -46 + -2 + -22 + -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5, 6, -4, -2 in descending order.\nAnswer: 53, 6, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/432 and ((-2856)\/280)\/(48\/15).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 1, 1.1, 3\/4, 10\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 - 627*f**3\/2 + 1578*f**2 - 1264*f = 0. Calculate f.\nAnswer: -632, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -3.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*q**2*t**5 - 26*q**2 - 535*q*t - 3350*t**5 wrt t.\nAnswer: -140*q**2*t**3 - 67000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/21283454?\nAnswer: -1\/21283454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 26. Suppose 0 = 2*c - 4*i, 12 = c + 4*i - 6. What is the lowest common multiple of c and (2\/(-4))\/(y\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, b: 7, j: 6, v: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4215 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91\/2 of a century?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -452*x + 6399. Give u(14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 9. Give a(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46865.00052354 - -46865. What is v rounded to 5 dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171516 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 z, and 1 j when four letters picked without replacement from {j: 1, q: 5, h: 1, z: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012644 to 4 decimal places.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*u**4 - 1098 - 40*u**4 + 1101 with respect to u.\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -639*c**2 - 152*c + 4. Let f(n) = 1271*n**2 + 302*n - 9. Let p(h) = 4*f(h) + 9*z(h). What is the second derivative of p(y) wrt y?\nAnswer: -1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 + (-39613)\/(-63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 280 = -10*j, 8*l - j - 23 - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0445 + 214.0445. Let l = -212.18 + g. Round l to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-3 + sqrt(55))\/(sqrt(80)*2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*s**4 - 12*q*s + 552331*q - 15*s**2 - 6*s wrt s.\nAnswer: -4*q*s**3 - 12*q - 30*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Is 1070 - (3 - x\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 1 + 5 + 0*j**3 - j**3. Suppose 2*a - 21 = -31. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 + 131 - (-27 - -1)) + -2 + (-99 - -3).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -10, 2\/21, -6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**3*q*x - 5*h**3*q + h**2*q*x + h**2*q - 2*h*q*x + 4*h*q wrt h?\nAnswer: 72*q*x - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 392.\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let z(q) = 10*q - 27. What is -4*r(b) - z(b)?\nAnswer: -2*b + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -3\/25 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2267.0107 and 222082.\nAnswer: 224349.0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-7) - 6\/(-21). Let t be 1\/(-4) + 9\/a. What is the second derivative of 3*c**2 - 2*c**t - 2*c - 3*c**2 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 + -0.01. Let z be 119\/(-412) + -2 + (-9)\/(-4). Let u = z - 293\/412. Put 5, y, u in descending order.\nAnswer: 5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29405 - (3 + -10 + 1 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 60, -4*r - 8*k = -9*k - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/51 and 38\/73.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12770 + 12769. Let l(s) = -s - 1. Let q(p) = p + 1. Determine t*l(w) + 3*q(w).\nAnswer: 4*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78306119077\/4472 + 17510313. Let s = g - 25\/104. Sort -0.1, 2\/17, 5\/6, s in increasing order.\nAnswer: -0.1, s, 2\/17, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0663*145\nAnswer: 9.6135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 310 = 5*f, -q + 18 = 4*f - 230. Let l = 191\/3 - f. Let x be (-10)\/12 + (0 - 0). What is the third biggest value in x, 5, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287150000 rounded to the nearest 1000000?\nAnswer: 1287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11603659?\nAnswer: 229, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185694611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1575)\/(-50))\/(2\/(-8)*-2). Let q be -6*(-6)\/p*7. What is the nearest to 1\/3 in -0.5, q, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcitcqqqqc. Give prob of picking 1 t and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -675*a**5 - 96727*a**4 - 602553547*a**2?\nAnswer: -40500*a**2 - 2321448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 11*x**2 + 9*x + 5. Let b = -42 + 30. Let c be g(b). Let p = 45 - c. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -66 (c) 29 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i + 5. Let n be y(-3). Let o = 1 + n. Suppose 3*t + 7 = -2. Put t, -1, o in increasing order.\nAnswer: t, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 12*z + 9. Let m be g(-8). Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14281.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-22260)\/230)\/(-14)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676341 plus -193392?\nAnswer: 482949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeexxexexbeeev. Give prob of sequence xeve.\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 37*o - 202. Let r be p(6). Solve 1 = 19*t - r*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.55 (b) -0.5 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifytpymtpttttmy. Give prob of sequence ypp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 580057575 to the nearest one million.\nAnswer: 580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1653, 1522, 1391?\n\"Answer: -131*m + 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*w - 2 + (4*w + w - 4*w)*(5 + 1 - 5).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -6644475?\nAnswer: 6644480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -9) + 5 + 11)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookakkobkokkkzbk. What is prob of picking 1 z and 2 b?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/17 (b) -3\/4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 2}. Give prob of picking 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7913 + -1.74. Let a = 60.3487 + t. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.8 and 0.0656.\nAnswer: 3.8656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-12) + (-1)\/6. Suppose -u*y - 16 = -2*y. Find the common denominator of ((-68)\/y)\/((-33)\/2) and -93\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143965848 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -13*f**5\/4 + 4*f**2 - 19*f + 9. Let z(a) be the first derivative of m(a). Differentiate z(n) with respect to n.\nAnswer: -195*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4255 + 12.233724?\nAnswer: -4242.766276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(152))\/sqrt(8) + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 4) - sqrt(1539))**2) + -2.\nAnswer: -1557 - 58*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121614913*d*o - 110712*d - 302 with respect to o.\nAnswer: 121614913*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -383\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 770*g**2\/9 + 5966*g\/9 - 8294\/3.\nAnswer: 2*(g - 3)*(g + 11)*(g + 377)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1325088 and 46656.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 26. Let x be o(5). Let f be (-3)\/(-18) - (-1)\/x. What is the biggest value in 2, f, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-6\/13)*c)\/c)**(-28)*(c\/(c*c**(-4\/7)*c))**(-19))**25 assuming c is positive.\nAnswer: c**(-15775\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*n**3*s**2 - b**2*n**3*s - 11*b**2*n*s**3 - 7*b**2*n*s**2 - 6*b**2*n*s - 2*b*n**3*s - 83*n**3*s**3 wrt s?\nAnswer: -66*b**2*n - 498*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*n - 40067*n**2 + 40065*n**2 + 136*n + 143*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -14, 6973, 0 in increasing order.\nAnswer: -14, 0, 1, 9, 6973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Let p = -4.6 + y. What is the biggest value in -0.2, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*j + 39955 = 351*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225789172 by -4.\nAnswer: 306447293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 3) in base 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38676 < 38642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*t**2 + 68*t**2 + 77*t**2.\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73204265977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 83 = -r - 88, 3*r = 3*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:38 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.277946 - -3331.\nAnswer: 3330.722054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w - 6*w - 7*w. Let m(i) = -i - 4. Let s(g) = 3. Suppose 0 = -2*x + 3*x - 4. Let r(b) = x*s(b) + 3*m(b). What is a(r(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66882891 to the nearest integer?\nAnswer: 8178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*f + 241 = 0, 4*q + 2*f + f = -869. Let u be (-4)\/34 + 11466\/q. Calculate the remainder when 2 is divided by (-1)\/(-4) - 39\/u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7524205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/30*2\/((-8)\/(-6)). Which is the third biggest value? (a) 0.3 (b) t (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 19*c - 37. Determine q(16).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4, 387*n = 386*n + 4*u + 3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**3*u - 2*j**2*u - 678*u with respect to j.\nAnswer: -18*j**2*u - 4*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 130. Let t be z(-52). Let o(v) = v**3 + 28*v**2 + 50*v - 52. Let d be o(t). Solve -a - 7*a + 8 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -248, -250, -254, -260, -268, -278, -290?\n\"Answer: -k**2 + k - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14892580.8 and 0.5?\nAnswer: -7446290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.607 (b) 5 (c) -2\/15 (d) -4 (e) 33 (f) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/6 + p. Let a be 5 - (-1)\/(3\/6). Let m(j) = 4*j + a - 7. Calculate m(t(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mss when three letters picked without replacement from {m: 11, s: 3, h: 4}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -34 - 14)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -1. Which is the nearest to 0.1? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 times 0.3?\nAnswer: 0.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84 or -3\/8?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474 divided by 3.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/12 - q**3\/3 - 3*q**2\/2 - 7*q + 3. Factor t(j).\nAnswer: (j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2 - 19539*n - 411642 = 0.\nAnswer: -21, 6534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -50*u**2 + 24 - 33*u**2 + 51*u**2. Let s(a) = a**2 - 1. Determine n(z) + 24*s(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6157.393 decades to months.\nAnswer: 738887.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/27*3*-69*17 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84) + sqrt(84) + 2*sqrt(84))*-6)\/(sqrt(48)\/sqrt(4)*-2)*-6.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(147) + 2*sqrt(147) + -4 + -1*(sqrt(147) + -4*(sqrt(147) + 0 + sqrt(147)))) + 0)**2.\nAnswer: -1120*sqrt(3) + 58816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -92 (c) 471 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-20))\/(-2))\/((-6)\/(-90)*24\/632)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-8))\/(312\/2080)*(-2)\/(-5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/44478 and 107\/59304.\nAnswer: 177912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 11*l - 1042. Let u be x(-17). Solve -u*d - 50*d = -434 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449751421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -70*r - 2. Suppose 0 = 6*j + 4*v - 312, 5*j - 174*v - 262 = -178*v. Calculate the remainder when w(-2) is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 44*s + 37. Let p be c(-1). Let k(r) = -5*r**2 - r + 19. Let l(f) = -11*f**2 - f + 39. Let d(v) = p*k(v) + 3*l(v). Factor d(j).\nAnswer: 2*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 10*m - 25. Calculate v(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121946351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-60))\/(8\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(315)\/sqrt(7)*-2)\/(sqrt(9) - ((sqrt(36) - (sqrt(36)*-3 - sqrt(36))) + sqrt(9))).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 118493889 divided by -447\nAnswer: -265087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/140 + 17\/14. Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*u + 3*u + 4)*(-26 + 7*u**2 + 26) as w*u**3 + z + v*u**2 + f*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:58 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264 - -b0?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10100110?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6003546 rounded to three decimal places?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(-2*3\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:10 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 33116100 to the nearest one hundred thousand.\nAnswer: 33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -39*f - 21. Let u be m(-1). Solve 0 = p + u - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1558*a + 191634. What is u(-123)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20333719 or 20333722?\nAnswer: 20333719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 356.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -23*j**2 - 4*j. Let v(o) = 323*o**2 + 57*o. Suppose m + 5*s + 638 = 609, -5*m - 2*s - 30 = 0. What is m*v(r) - 57*x(r)?\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 4. Let h be u(-7). Suppose 0 = 3*r - 2*f - 52, -r + 5*f + 4 = f. Let c be (-8 + 2)\/((-75)\/r). Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/6 + 7*d**2 + 2*d. Let b be l(12). Let w(z) = -5*z**2 + z**2 + 6*z**b. Let r(h) = -10*h. Calculate r(w(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 551*y**5 + 6 + 138*y**5 + 105*y wrt y?\nAnswer: -8260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 1, j: 3, d: 1, n: 5, u: 3}. Give prob of sequence ujn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = 1, h = 3*x + 61. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 298.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 59813 = -0*t - 8*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**3)\/(g\/(g\/g**(-12))*g))\/(g*g**6\/g*g*g\/((((g\/g**(-1\/5))\/g)\/g)\/g)*g))**36 assuming g is positive.\nAnswer: g**(-324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7478 rounded to 2 dps?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 535 - 201 + 135*h**3 - 190 - 2*h.\nAnswer: 135*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3284*v + 91*v**2 - 91*v**2 - 5 + 3284*v - 197*v**3 as a*v**3 + k + j*v + f*v**2 and give a.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/20 + 5*k**3\/3 - 7*k**2. Let w be q(-11). Suppose -8*d + w = -11139. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-5017)\/290 + 7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 - 8 = 0. Suppose 2*p - m*p + 12 = 0. Calculate the highest common divisor of p and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/7)\/v*v*v*v**(-1)*v**(2\/27)*v**7 assuming v is positive.\nAnswer: v**(1391\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(7)) + -4.\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 379 divided by 4\nAnswer: 379\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from {j: 2, f: 1, r: 2, n: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.551078 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c**2 - 3*c. Let d(y) = 28*y**2 + 2*y + 1. Let f(p) = 3*d(p) + 2*o(p). Differentiate f(v) wrt v.\nAnswer: 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2 (base 12) to base 16.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 1\/25*n**5 + 7\/15*n**3 + 1\/4*n**4 - 49 + 3\/10*n**2 + 0*n. Factor j(u).\nAnswer: u*(u + 1)**2*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -4785, -16905, -40511, -79431?\nAnswer: -137493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120122011010 + -20?\nAnswer: -120122011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 873254.\nAnswer: -3\/873254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23791 or 23788?\nAnswer: 23788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47732 - 27108. Let k = 9888 - l. What is the units digit of k\/66*(-6)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + a**2 + 1579*a**3 + 50*a + 5.\nAnswer: 1579*a**3 + a**2 + 50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/12 + 3*r**2\/2 - 2. Let x(m) be the second derivative of c(m). Let t(k) = 6*k**2. What is t(x(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 743. Let l(u) = 7*u**2. Calculate i(l(p)).\nAnswer: -98*p**4 + 743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776378387.\nAnswer: 776378387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 2 + 2 + (0 + 0 - i)*(i + i**2 - i) - 779*i**3 + 9705 - 9705.\nAnswer: -781*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 - -1417\/11. Let q = -10025 - -10030. Which is the fourth smallest value? (a) 0.042 (b) -1\/6 (c) q (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2384*w - 298011. What is z(125)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*t - 241*t + 36*t**2 - 240*t - 44*t**2 + 982*t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(-1 + sqrt(56)\/(sqrt(16)\/sqrt(2)) + 2*sqrt(1008))*-3)**2.\nAnswer: -28800*sqrt(7) + 2520576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.6005101 milliseconds to days.\nAnswer: 0.00000006482071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10186087 divided by -20413.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:36 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5319334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -115. Suppose r - 21 = -j - 2*r, -4*j + r = -84. Suppose -5*c - 15 = -g, -g - c + 0*c + j = 0. What is the greatest common factor of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 5:32 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 10\/241 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392380?\nAnswer: 2, 5, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.1633 days in milliseconds?\nAnswer: 38462109120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = g - 5, 5*g + 33 = o + 121. Suppose -39 = 14*r - g*r. Suppose 0 = -4*a - 4*c, -2*c - 3 - 2 = a. What is the remainder when r is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77050510709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936650 is divided by 93633.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 4*h + 4*h)*(-2*h + 2*h + h) + (5 - 5 - 2*h**2)*(-3 - h + 3) + 6*h**2 - 6*h**2 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64972528 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14841841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1792 - -3191. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -16*k + 104. Calculate the greatest common divisor of 40 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*v**2 - 66*v + 54*v**2 + 26*v**2 - 77*v in the form g*v + h + a*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(4*(sqrt(2736) + sqrt(2736) + -1 + sqrt(2736)) + sqrt(2736)))**2.\nAnswer: -1248*sqrt(19) + 462400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (481\/21164)\/(2\/2024)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1907.506 - -2038.4929. Let n = -0.25 - 130.75. Let b = n + w. What is b rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4420 and 2600?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35 less than 468?\nAnswer: 469.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/15 + 218*y**3\/15 - 6968*y**2\/15 + 15616*y\/5 + 104448\/5 = 0 for y.\nAnswer: -4, 17, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21578*h**3 + 64663*h**3 - 21573*h**3 - 21514*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*u = -36*u - 2325 - 10725 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 30 = -d. Let c be (d\/(-9) + -2)*-6. Let b(x) = -x**c - x + x + 0*x**2. Let a(n) = -3*n**2. What is b(a(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3829 + -57662.64.\nAnswer: -57666.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002249894 to 6 decimal places.\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(4*m**2 - 3*m**2 + 0*m**2)*(3*m + m + 2*m) to the form t*m**3 + b + r*m + x*m**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 40368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o - 60*o - 8 = 0. Let y be (o + 40\/(-14))\/((-10)\/35). Solve t = 4*q + 4, -3*q - q = y*t + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 548*z**2 - 558*z**2 - 38*z**3 - 1 + 1109*z**2.\nAnswer: -38*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 98*k**6\/3 + k**3\/3 + 39*k + 671. Find the third derivative of y(p) wrt p.\nAnswer: 11760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*2*(-242)\/(-484). Let v be (3\/(-4))\/((-3)\/(-12)). Put v, a, 1 in increasing order.\nAnswer: v, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5 - 10*g**2 - g**2 + 10*g**2. What is b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 681206323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 103\/6 - 21\/126.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 10\/(-5))\/1. Is (-29)\/m*7\/7 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -655870 or -2623481\/4?\nAnswer: -2623481\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:18 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/56 and 73\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 375 = 41*o - 83*o - 1365 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 1859*h**2 + 7198*h**2 - 1612*h**2 - 1857*h**2 - 1861*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 97. Let a = b + -38. Let z = -8 + 13. What is the second smallest value in z, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2347*x + 2347*x + 3*x**2 - 322*x**5)*(7 - 2 - 3 + (-1 - 1 - 2)*(4 + 0 - 3) + 0 + 1 - 2 + (3 - 2 + 0)*(4 + 1 - 3) + 0 - 4 + 2).\nAnswer: 966*x**5 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31202.0139 less than 1.84?\nAnswer: 31203.8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 15*i**2 + 8*i + 11. What is the tens digit of n(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:34 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/(-24) + 44\/16 + -3. Suppose -3*h + 3*o + o + 525 = 0, 5*o = -4*h + 700. Suppose -3*k = x*k - h. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) 1 (c) -1\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273.175 + 0.175. Let q = b - -275.1. Which is greater: q or 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 0. Let g = 4.4 - 4.9. Which is the closest to p? (a) -2\/11 (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36) - 1\/((-60)\/8050))*11\/(-22)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/37559 or -1?\nAnswer: 2\/37559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 128*u**2 - 12*u - 28. Let k be q(-3). Let z = k - 664. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:41 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 744.2723 - -0.7277. Is 3 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31535 - -346367\/11. Which is smaller: y or -46?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19003323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388 + 0*f + 2*f + 1218*f**2 - 1217*f**2.\nAnswer: f**2 + 2*f - 388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326308 is divided by 3981?\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2.2 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129657, -260734, -391811?\nAnswer: -522888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -212831, -212833, -212851, -212897, -212983, -213121, -213323, -213601?\n\"Answer: -2*q**3 + 4*q**2 - 212833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5 (b) -2 (c) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 701666160?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/(-840)*14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/68523 and -18\/375245.\nAnswer: 7880145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 less than or equal to 839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3468574 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*2*sqrt(3267).\nAnswer: -66*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14483 (b) 9 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 5\/2, -1\/2.\nAnswer: -1\/2, -0.08, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*f*i**3 + 15*f*i**2 - 697655*f*i - 6*f - 6*i**3 - 27*i**2 wrt i.\nAnswer: -288*f*i + 30*f - 36*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 10*w**2 - 9*w + 6. Let t be l(-9). Let v = 221249 + -104210. Let i be t\/(-2) - v\/(-13). What is i rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1426351, 2852704, 4279057, 5705410?\n\"Answer: 1426353*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 672*p - 11. Let k be u(2). Suppose 4*z = -5*c + 1015 + k, c = 3*z + 462. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h. Let x(w) = 0*w - 3 + 5 + 17*w + w**2. Let z be x(-17). Solve y - 5 = h, 2*r + z*r - 5*y = -45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:14 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1051731*k**5 + 295*k**2 - 1199*k.\nAnswer: -63103860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -147*m + 16573. Determine i(118).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, -2\/11, 219, -0.038 in descending order.\nAnswer: 219, 1\/4, -0.038, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.4 (c) -0.1454 (d) 2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.3, -2043, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 796040 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:53 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.6 - -42. Sort 5, -1, x, -2.\nAnswer: -2, -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose -12*p = -18*p + 18. What is the third derivative of d*l**2 + 2*l**5 - 14*l**5 + p*l**5 wrt l?\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from {c: 4, z: 2, w: 4, o: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1102)\/8 - (-8)\/(-32). Let v be (0 + t)*(-4)\/6. Suppose -x + 0*x = -3, -2*x - v = -2*o. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882669269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) - (-7)\/2. Suppose 1 = w*k - 11. Find the third derivative of 0*s**3 + 3*s**2 - s**k - s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i**3 - i**2. Let z be q(-1). Let t(l) = -l**3 + l**2 - l + 30. Let m be t(0). Let a = m + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g + 2*g)*(4610 + 5594 - 8666)*(-2*g + 4 + 7*g - 3*g) to the form s + n*g**2 + u*g and give n.\nAnswer: 6152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let i(x) = -35*x - 45. Give 4*i(h) + 180*m(h).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8*i - 3*i = -16, 0 = -3*j - 2*i - 5. Let r = -1 + j. Find a such that -1\/3*a**2 + 1\/3*a**3 + 0 + r*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105868 divided by -5572.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 3 - (4 + -8 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001823 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 0.1025?\nAnswer: 0.1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/5)*f))**(6\/5)*(f**(-2\/7)*f)**(1\/10))**40 assuming f is positive.\nAnswer: f**(-572\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 319.8 + -286. Let s = 34 - a. What is the nearest to -11 in -4, -2, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8 = 4*k, 20 = -2*k + 4*a + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 24 - (8 - 1)) + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 2*f - 2*f)*(0*f + 4*f - 2*f + 1 - 1 + f + (1 + 0 + 0)*(3*f + f - 3*f))*(5*f - 3*f + 0*f) to the form d + o*f + u*f**2 + c*f**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75871400*x**2 + 6*x + 8646959?\nAnswer: 151742800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 4, d: 1, h: 2, m: 2, k: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = 4*k, 2*i - k = -4*k + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005351346 rounded to six decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfyy when four letters picked without replacement from yyyfyygyyyy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 4*w**2 + 0*w**2)*(3*w - 38 + 64 - w).\nAnswer: 4*w**3 + 52*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0. Let i = -1.94 - 1.34. Let q = -3.28 - i. Which is the closest to x? (a) -0.5 (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1763*p - 1689*p = -592 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30547.706 less than -326?\nAnswer: 30221.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -f - 4*y, -16*f - 28 = -17*f + 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999079409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2 - 4*q + 5. Let p be t(-5). Let i = p + 2. Suppose 0 = c - 9 + i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -298 - -496. Let q = 4221 - 4207. Suppose q*m = 8*m + l. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 32. Let u = 24 + -21. Solve u*f + 2*f = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82240 divided by -20?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x + 2223. Let o(q) = -6*q - 1. Give -m(n) - 2*o(n).\nAnswer: -n - 2221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 7*d + 19. Let u be y(-5). Let c = -5 + 8. What is the greatest common divisor of c and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1193 and 4444630063?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000782440712 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5479 + -932. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-1)\/(-3)). Let v be (-2)\/(-6 - (-18 - -14)). Put s, 5, v in ascending order.\nAnswer: s, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/(42\/4)*4.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 2694930*l - 8084788\/3.\nAnswer: -2*(l - 4042394)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 113*z - 1971. Calculate b(-91).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:17 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r**3 + 1 + 36*r**3 + r - 21*r**3 + 4*r**2. List the prime factors of k(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let q = 2.808 - -0.092. Let x = q + -2.4. What is the biggest value in x, o, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - w + 309054 = 0, -3*w = -y + 63097 - 1283. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 + 2275\/9. What is the closest to -1 in u, -1\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97.9 + -21.1. Let n = -120 - q. Which is greater: n or -60?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 10 + 34 - (-1 - (-5 - -3) - -31).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4\/5, -3, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14 + 476*o + 20*o**2 + o**3 + 474*o - 952*o - 15. Calculate d(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47b - -1a?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0 - 2 + 3*h)*(9 - 28 + 13)*(-1 + 1 + 1).\nAnswer: 6*h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/27 of a day?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 894215*n + 2682654 = 0. Calculate n.\nAnswer: -3, 894218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052394 minus 5?\nAnswer: -5.0052394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -6.9. Let w = -19 + 16.8. Let b = w + 2. What is the third biggest value in o, -2\/3, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 38*d**2 + 45*d + 101. Let a be v(-20). Is a > 1\/516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 25*y**2 - 11*y - 294. Give m(-25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1238101.924 + 1.0094.\nAnswer: 1238102.9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 12274?\nAnswer: 85918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54299.52 millilitres in litres?\nAnswer: 54.29952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -37362 smaller than -37362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -11 + 14. What is the third derivative of k*b**4 + 15*b**2 + 53*b**5 + 0*b**4 - 19*b**5 - 9*b + 7*b wrt b?\nAnswer: 2040*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*s. Let a = -47 + 18. Find the common denominator of (-3)\/12 - a\/s and -137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let l(y) = -176478*y - 210. Give w(l(j)).\nAnswer: 352956*j + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.133, -2\/25, -1.749, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-24 + (-3 - -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 12)*(-19*u + 19*u - 27*u**2).\nAnswer: 243*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from jjeeeejeejjejeej?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -62759153501.\nAnswer: -62759153517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, p: 1, a: 1, y: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/354539662?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 2973?\nAnswer: 214056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*b - b. Let p(t) = -t**3 - t**2 + 3*t + 5. Let h be p(b). Solve l = -h*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2546 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*f + 134*f + 5*g + 10555, 5*f + 2*g = 17540. Does 54 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 1, s: 1, b: 1, e: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/10 + (-33)\/165. Suppose -2*i = -1 - 1. What is the closest to i in 3, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759402858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2655921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 1 (c) -3 (d) -2\/21 (e) -0.4 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 27*h**2 + 4*h + 34. Let l be i(-12). Let s = l + -1258. Suppose 0*f + f = 94. What is the remainder when f is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 997 + 897. Let q = 3126 - c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.903689 millilitres to litres.\nAnswer: 0.001903689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14749, -14388, -14027, -13666?\nAnswer: -13305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -986, -1972, -2958, -3944, -4930, -5916?\n\"Answer: -986*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8 + 2 + 10 - 2*s + 15. Suppose -8*k - 16 = -10*k. Let m be h(k). Solve -m - 1 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+2523714918.1\nAnswer: 2523714920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.5. Let p = 0.9 + d. Let v = 1.94 - -0.06. Which is the smallest value? (a) -4 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(560) + 2*sqrt(560)) - sqrt(560))\/(-3*sqrt(252)) + 0.\nAnswer: 32*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:57 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose -5*r + h = 475, 4*r - y*h + 273 = r. What is the remainder when (r\/(-15))\/(1\/5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075693231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 82 - 4. Suppose n = k - 91. List the prime factors of k.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/85 and 8\/31.\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-35))\/((-2)\/40). Let a(h) = h**3 + 15*h**2 - 14*h + 32. Let f be a(c). Solve -4*b + f = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.840118 days in nanoseconds?\nAnswer: 504586195200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 7*b + 9. Let v(c) = -3*c**2 - 28*c + 12. What is the remainder when k(6) is divided by v(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 373 = -208*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*j**2 + 37*j**2 - 90*j**2 - 15 - 3*j)*(4 + 1 - 6)*(4 - 2 - 4)*(3 - 2 + 0) to the form k*j**2 + b*j + t and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 6 + -5 - (-2 - -31). Let x be 0*(3 - g\/(-12)). Solve 5*u + 2 + 13 = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30605040 is divided by 2753.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1597*h - 11907. What is a(-7)?\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v**3 - v**2 + 2. Let n(c) = -108*c - 7990. Let g be n(-74). Let y(u) = 10*u**3 + 2*u**2 - u - 2. Give g*y(p) + 3*b(p).\nAnswer: -13*p**3 + p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v + 1\/60*v**5 - 2*v**2 + 0*v**7 + 0 - 1\/48*v**8 + 0*v**6. Find the third derivative of k(c) wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 204 = 11*h - 92 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = 3*z, z = g - 3 - 0. Suppose -4*l - 2*w + 230 = g, -179 - 101 = -5*l - 4*w. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 28 = 2*w, 4*w - 25*i + 70 = -24*i for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/18*-12*9\/(-36))\/(-1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-11)*(200\/(-30) - -14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1469697 + 1469735 = 7*r - 2*u, 0 = -4*r - u + 26 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118\/3 - -40. Which is the closest to 1\/4? (a) d (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 1090914?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 12:53 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k. Let j(g) = 4*g. Suppose -2*t = -10 + 2. Suppose 2*a + 22 = t*a. Let w(y) = a*j(y) - 6*r(y). Let u(b) = b. Determine w(u(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 16, -h + 1006 = -5*j + 977. Let u(x) = -2*x**3 - 11*x**2 - 14*x - 14. Determine u(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, 3\/5, -8, -0.1 in decreasing order.\nAnswer: 3\/5, -0.1, -4.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 3*i.\nAnswer: -3*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2 = 0, -310*r - j = -306*r - 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.07, -7.\nAnswer: -7, 0.07, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {c: 1, n: 1, b: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (10 - 26) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1470 and 945?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 5. Let y(h) = 2*h - 2. Let w(l) = -2*o(l) + 5*y(l). Let k(a) = -3*a. Determine w(k(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22435*o**2 - 44877*o**2 + 22441*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + h = 4, -6 = s + 2*s + 3*h. Let g = s + 1. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3221653 divided by 17\nAnswer: 189509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/60*1065\/20. Calculate the highest common divisor of y and 18957.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(-2*sqrt(130)*-1 - sqrt(130)))\/(((2*sqrt(60))\/sqrt(3))\/(sqrt(2) + 3*sqrt(2)*-1)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 17. Let r be y(-13). Solve -6 = -2*l + r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 3 + 2*m**2 - 24)*(-3 + 3 - 2*m + m - 6 + 6 + (2 - 1 - 3)*(2*m + 3*m + 0*m)) - 2*m**3 + 2*m**3 + m**3.\nAnswer: -21*m**3 + 528*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411.042 - -412. Let f = j + 0.042. Let i(t) = t**3 - 5*t**2 + 4*t + 5. Let a be i(4). Are a and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985475 (base 12) in base 5?\nAnswer: 1104232211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -82. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b31fd3 - -1?\nAnswer: b31fd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*y - 12 = 0, 0*y - 14 = -k + 3*y. Is 10 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 25 + 7. Let v(h) = 7*h**2 + 5 + b - h**3 - 6. Let k(z) = -z**3 + 10*z**2 + 10. Calculate 5*k(o) - 7*v(o).\nAnswer: 2*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -0.4. Let k = g - 0.6. What is the smallest value in k, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-50) - 11\/(-5). Find the second derivative of 2*d**2 - 4*d**2 + 2*d + 0*d**r wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 3)*(12 - 4*v**4 - 12) + 3*v**2 - 3*v**4 - 3*v**2 - 2*v**4 + 2*v**4 - 2*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 46.\nAnswer: -25\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3498229 grams?\nAnswer: 349822900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 42. Is r bigger than 1\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7702373 micrograms?\nAnswer: 0.0000000007702373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 108189?\nAnswer: 108186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/2*j - 6 - 1\/2*j**2.\nAnswer: -(j - 12)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m**14)**(-6\/17) assuming m is positive.\nAnswer: m**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/85408 and 89\/264967644.\nAnswer: 2119741152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738 and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y + 97*y - 102 = 45*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11496496 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(121)\/(sqrt(33)\/sqrt(3)) + sqrt(11)*-1*2)**2 - (-3 + (sqrt(11)*1 + -5 + sqrt(11))**2 + sqrt(11)).\nAnswer: -66 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*b - 348807, -8*p + 3*b = 4*b - 2790555. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112218562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l. Let c be 2\/((-1)\/5*-2). Suppose -c*u - 13 = 2. What is v(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/1680 - a**7\/1050 + a**6\/600 + a**5\/300 - 4*a**2. Factor u(r).\nAnswer: -r**2*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from umsmnnemnmny?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m - 16. Let t be s(0). Let x(z) = z**3 + 15*z**2 - 17*z - 13. Let p be x(t). Solve -p*w - 1 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91949 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and -2183176 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:32 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 9*b**2 + 5*b. Let u be x(-5). Suppose 0 = -u*j + 68*j + 217. Solve 0 = -5*z - j + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 1, n: 2}. What is prob of picking 1 k and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6750 is divided by 225.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 + 1049. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 23418.46489.\nAnswer: 23419.46489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.01\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517347343?\nAnswer: 401, 1290143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 17*s + 2*c + 63 = -21*s + 45, c = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**2 - 40*i + 8. Let d be -26 + 29 - (1 + -2). Let z be k(d). What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9851585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, 1.6 in increasing order.\nAnswer: 2\/3, 1.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, 1154259, -27?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 4*r**2 + 6*r - 6. Let s be (-6)\/(-4)*(-16)\/(-6). Let p be v(s). Let a = 413 - 404. Calculate the highest common divisor of a and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 57*p + 1240. What is h(-32)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -145\/12658 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 2*t**2 - t + 3. Let d be q(-3). Let j be 0 + (d - -4) - -2. Suppose h - 37 = -4*o, 39 = -0*o + 3*o - j*h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 72 = 11*z. What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, -1\/494, -2\/17, 2\/13, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 - 195.6. Let t = r - -182. What is the closest to 1 in 2, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 105 = -162 - 18 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004750812 to five decimal places.\nAnswer: 0.00475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agamaga. Give prob of picking 1 a, 1 m, and 2 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 15, -4*n + 2938*u = 2943*u + 25 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -320 and 55?\nAnswer: -17600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - 1135?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t + 2*t + (2 - 2 + 3)*(46 + 4 + 3)*(-3 - 6*t + 3) + 0*t + 0*t + t.\nAnswer: -951*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8371*q**2 + 8414*q**2 - 16759*q**2.\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b6a3bb5b - 5?\nAnswer: b6a3bb56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -643343 divided by -3.\nAnswer: 643343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863717 is divided by 287402?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 15. Let v be 21\/(-30)*8\/(-154). Are v and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36394, 36380, 36366, 36352, 36338, 36324?\n\"Answer: -14*z + 36408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -128?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(0*j - j + 0*j) - 2*j + 2*j + 3*j - 1 + 1 + 4*j)*(-1 + 0 - 1).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67 - 150*t**4 - 57*t**4 - 69 with respect to t.\nAnswer: -828*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 17*q - 19*q + 386.\nAnswer: -34*q + 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Suppose 0 = t*p + 1 - 11. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 83*q**2 + 388 - 388 - 4*q.\nAnswer: 83*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -1967933 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*k - 3236, -4*k + 785 = d + k. What are the prime factors of d?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:44 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1\/4, -3.\nAnswer: -3, -1\/4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**2 + t**2)*(-2 - 1 + 5)*(-3*t - 3*t + 3*t) + (5*t**2 + 0*t**2 - 3*t**2)*(3*t**3 + t**3 - 6*t**3).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 58 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.44 + -132387.\nAnswer: -132384.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 226*r**3 + 665 + 2*r**2 + 4*r - 665 in the form o*r + a*r**3 + m + i*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 7290*i**2 + 14589*i + 7296.\nAnswer: -3*(i - 2432)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -386 in descending order.\nAnswer: 0, -18, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = -4*d + 471 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*u - 432*u + 1960 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356 + y + 483 + 356 + 2*y to s*y + u and give u.\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((3\/18)\/((-13)\/78)). Put -5\/6, x, 0.3, -2\/17 in descending order.\nAnswer: 0.3, -2\/17, -5\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 + -312.7. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114239?\nAnswer: 71, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87529 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((10\/15)\/(-1)*-3)\/1. Sort i, -7, 5 in descending order.\nAnswer: 5, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + v + 15, 0 = -14*v + 9*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 15*d - 7. Let w be v(-7). What is the common denominator of (-292)\/(-45) - w\/(-140) and -35\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q + 5*i - 2, q - 18 = 5*i. Suppose -4 = 4*o - 12. Suppose 0 = -4*a + q*u + 388, 136 = o*a - u - 56. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.04 (c) 5 (d) -25 (e) 6 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135064 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.03 + 5.211. Let l = u - -6.819. Which is the third smallest value? (a) l (b) -1\/7 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -3 + 3 + -3. Suppose -c + n*u - 4 = 0, -4*c + c - 5*u = -32. Solve -r - 2 = -v, 4*v + c = r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3164*c + 1092?\nAnswer: 3164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h**3 + 9*h - 6. Let x(g) = -24*g**3 + 15*g - 12. Calculate -9*n(u) + 5*x(u).\nAnswer: -3*u**3 - 6*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*z + 933 = 185, -l - 2*z + 148 = 0. Calculate the least common multiple of l and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13*h**2. Let c(t) = -3625*t**2. Determine x(c(n)).\nAnswer: 170828125*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 9 = -0. Let f be 455\/(-14)*-1*2. Let t be 12\/9*(f + i). Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*p**3 - 2*p**2 - 59?\nAnswer: -204*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 0*l = 192. Suppose -3*t - 4 + 10 = 0. Calculate the lowest common multiple of t and 2\/(l\/(-156)) + 2\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10227*i + 20268*i - 9680*i.\nAnswer: 361*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 12. Let g = 137 + -335. Is g\/(-10) - t\/(-35) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 620 and 620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 14*z + 7*z + 0*z - 41*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60635992 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 226\/10 - 6\/(-15). Let a = -18695 + 18718. Calculate the greatest common divisor of a and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 15486, -4 in decreasing order.\nAnswer: 15486, 28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1477.18 (b) -1\/98 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o - 2 + 2)*(0 + 1 - 3) + 1 - 1 + o)*(50 - 50 - 5*o).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 12*r - 6*r)*(6 - 3 - 1)*(0 + 2*r + 0).\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2888 divided by 7661.\nAnswer: 2888\/7661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3911, 3896, 3873, 3842, 3803?\n\"Answer: -4*o**2 - 3*o + 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 6 (c) -0.5 (d) -1\/8 (e) 3 (f) -1\/15 (g) -26\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10437 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -28 (c) -24 (d) -0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b**2 - b**2 - 2*b**2)*(-3 + 2*b + 3) in the form k + r*b**3 + p*b + z*b**2 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316980762 a multiple of 1473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42283718, 42283721, 42283724?\n\"Answer: 3*l + 42283715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*f + 20, -3*s + 35 = s + f. Suppose -6*g + 2*g = 0. Suppose g = -4*m + 11 + s. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p + 2 = 0. Let u be (p - (-3 + 3)) + 1. Suppose 2*z - 14 = -u*a, 3*a = z + 19 + 22. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1152 + 13402?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = -10, 3*k + 6 = 3*f. Let u be (-1224)\/300 + (7\/(7\/2) - -2). Which is the closest to -2? (a) -1\/6 (b) k (c) u (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2145 = -74*q + 89*q. Solve -q*d = -147*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 12*p**2 - 26*p - 20. Let u be f(-12). Let x = 396 + u. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -313460 and -918?\nAnswer: 287756280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 23 - 130 = -71*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.87173 rounded to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - ((sqrt(95) - (5*sqrt(95) - sqrt(95))) + sqrt(95)))*-4)\/sqrt(5)*1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71815*w - w**3 + 71815*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.64781 - 1.65. What is l rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f + 37. Let t be m(-6). Suppose 0 = h + t - 6. Let y be h - 393\/3*-1. What is the greatest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*d + 115, 0*d = 5*p - 2*d - 119. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.066, 0.2, -0.1, 3 in increasing order.\nAnswer: -2\/7, -0.1, 0.066, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**14*f*f*f**(-2\/7)\/f*f*((f\/f**5)\/f)**(-40) assuming f is positive.\nAnswer: f**(1321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/4 - 97*i**3\/2 - 6301*i**2\/4 + 75369*i - 603729 = 0. What is i?\nAnswer: -111, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6429434483 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Let y = g - 4.9. Let d = -0.45 - -0.05. Sort y, d, -2.\nAnswer: -2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9194 - 0.5194. What is the nearest to -5 in 167, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.81 to the nearest integer.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2235, 2385, 2535, 2685, 2835, 2985?\nAnswer: 3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8628.3 - -8628. Let p(a) = -2*a + 2. Let j be p(3). Let x = -2 - j. What is the third biggest value in -0.4, 5\/2, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 109*i - 3192. Determine c(22).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*0.023.\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, 2 in ascending order.\nAnswer: 2, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a - 23*a + 10*a + 7*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -758 + 1633. 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(q) be the third derivative of -4*q**2 + 0*q + 0*q**4 + 0 - 1\/60*q**5 + 2\/3*q**3. Find the first derivative of m(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41076 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 32*c**2 - 69*c + 282. Calculate y(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3935086188 less than 96?\nAnswer: 3935086284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31560753223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2234977 divided by -97.\nAnswer: 23041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.08476 micrograms to nanograms.\nAnswer: 75084.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*-4*10. Suppose -9*i + 4*i + 7*i = 0. Calculate the remainder when 61 is divided by 40*(8\/v + i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210704076 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/13, 5837, 4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Suppose l - 967 = -5*r, 0*r + 2*r - 380 = u*l. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(2268))\/(sqrt(9) + sqrt(18)\/(sqrt(2)*2 + sqrt(2))).\nAnswer: 3 + 27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/2 of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7833*u + 10994*u - 1 - 69442*u + 1.\nAnswer: -66281*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68034.68 years in millennia?\nAnswer: 68.03468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2829 and 12.\nAnswer: 11316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.91 + 0.09. Let i = -92.7 + p. What is the third smallest value in i, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5 + (-1 + 2 + 1)*(2 + 2 - 3) + 3 - 2 - 3)*(-3*t**2 + t - t)*(2 - 1 + 0).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1479, 1378, 1169, 852, 427, -106?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 + 7*u**2 + 2 - 6*u**4 + 4*u**2 as s + i*u**2 + b*u**4 + v*u**3 + y*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 = 4*l. Let q be (-36)\/24*l\/(-3) + 0. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 7, m: 1}. What is prob of sequence myry?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 7. Suppose -3*z = 5*o + 24, 5*z - 34 = -0*o + 4*o. Let p be t(o). What is the remainder when (-78)\/15*1*p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2408 + -5.\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 21*k**2 + 91*k + 104. Calculate f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 6, 2, -5, 34 in descending order.\nAnswer: 34, 25, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkhhkmkkpkkhkkkkkh. What is prob of sequence ph?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:32 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 7505*t + 432300 = 0.\nAnswer: 60, 1441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + -1*sqrt(1728) + -2)**2 - ((2*-2*sqrt(216))\/sqrt(8))**2.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4\/6 - 8188235*a**3\/3 + 2979874308650*a**2 - 3253316514829191125*a\/3 - 6506650908920610625\/6 = 0. Calculate a.\nAnswer: -1, 1091765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/3 - x**3\/6 - 3*x. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 950775 divided by 525\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2 + 8. Solve 5*o - 25 = -2*r, 16 = x*r + o + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4050, -4051, -4052, -4053, -4054, -4055?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = 3*u, -2*s + 2*u = -s - 11. Let x = 1\/6 - -4\/3. Which is the nearest to x? (a) 0 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -73, -81, -89, -97?\n\"Answer: -8*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n - 3. Let i = 5 - n. Let m be ((-15)\/(-6))\/(-5)*i. Which is the third biggest value? (a) 1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/9*18\/10. Solve -3*o + 2 = -4*w + b, -3 = o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*p**2 + 175*p**2 + 90*p**2 - 688*p**3 - 583*p**3.\nAnswer: -1271*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Suppose -l + 3 = -1. Which is the nearest to 3? (a) m (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 2177350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 14 = 5*d, 5*m = -10. Suppose 4*v = -5*k + 14811, 0 = 4*k - d*v - 5219 - 6637. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 - 155. Let r(a) = a**2 + 24*a + 27. Let p be r(c). Put 3, 15, p in descending order.\nAnswer: 15, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168 - (5 - (1 - 0)). Let i = 233 - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -27, 1, 4, -115, -2, -1 in descending order.\nAnswer: 10, 4, 1, -1, -2, -27, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.7 - 7.700037. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*c = 52*c + 23 + 136 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24371 + 30999. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 - 5*p + 7. Let w be ((-2)\/4)\/((-93)\/(-558)). Calculate g(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11831488 and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*n - 35 - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 97067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2253886 divided by 2\nAnswer: 1126943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*z + 6 = 0, -3*u + 3*z = 4*z - 9. Solve 5*h = 4*x + 16, -x = x + u*h - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/3015?\nAnswer: 17\/3015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g - 93*g - 24 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19180 - 19140. What is the closest to 0.13 in -5\/2, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*c + 2*c**2 + 5)*(-c**3 + 4 - 4).\nAnswer: -2*c**5 + 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/5 (b) 5\/2 (c) 1\/6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1823579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59258 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 827175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.8. Let a = 6 - 6. Let d = 7\/19 + -54\/95. What is the closest to a in -3\/4, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7203.273t?\nAnswer: 7203273000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 22 = -2*d, s + 4*s = 4*d - 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -6305.\nAnswer: -6305, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4561 divided by 1\nAnswer: -4561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -652.92 * -2640.\nAnswer: 1723708.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*j, 5*j = 2*j - 5*d - 1. Let x = -1 + j. Let l be x\/(-42) + 4\/12. Put 1, -0.3, l in descending order.\nAnswer: 1, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -22 - 0 - (22 - (5 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -22. What is the smallest common multiple of -28*((-4)\/7)\/q and (-1)\/(1 - (-10)\/(-9))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -7*k**3\/6 - 185*k - 189. Let g(f) be the first derivative of r(f). Let q(w) = -w + 51. What is q(g(y))?\nAnswer: 7*y + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -543444*d**5 + d**4 - 1048478*d wrt d?\nAnswer: -10868880*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 333341100?\nAnswer: -333341022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((4\/1)\/16). Suppose 4 = -6*u + 40. Solve t*q = 5*f + 35, -5*f - 5*q + 4 + u = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.085? (a) -3\/22 (b) 2\/15 (c) -5 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 3. Suppose -2*s = -0*f - 5*f - 42, 4*f = 5*s - 88. Let b = 33 - s. Solve 5*k = g + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.8 and 2?\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:22 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21938951 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 270382*w. Let f(h) = h**2. Calculate f(m(a)).\nAnswer: 73106425924*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1. Let o(f) = -8*f**2 + 16*f - 71. Let i(k) = 21*c(k) - 3*o(k). Factor i(u).\nAnswer: 3*(u - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2406, 4779, 7138, 9477, 11790, 14071, 16314, 18513?\nAnswer: 20662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48250004807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(40\/(-14) + 3). Solve -i = -2*u - g, 0*i - 5*i - 3*u = 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - (-560)\/(-42)) + 44\/6. Solve -i - 3 = -r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1108 = 5*c, 2*w - c - 1092 = -0*w. Suppose -7*j = -1615 + w. Let y = j - -6. List the prime factors of y.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 + 0 + 1. Let k be 6\/5*(-40)\/(-16). Factor 4*l + k*l**2 + 0*l**2 - 8 - 2*l**3 + t - l**4.\nAnswer: -(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106)\/371)\/(2\/(-208019)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13344 (base 6) to base 10.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280711 is divided by 19802.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Suppose 2*l + 3*i = -2*l - 33, 3*l + 26 = -2*i. Let h be -8*(-3)\/(l\/(-2)). Let f(p) = -p**2 + h*p**2 - 5*p**2. Give v(f(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9824 and -19\/6.\nAnswer: 29472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758408 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 8. Give b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6454 and 644?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:32 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + t = -12, m + 5 + 10 = 4*t. Suppose -8 = 3*v - h + 8, 0 = -3*v - h - 26. Put m, 0, v in ascending order.\nAnswer: v, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3840 + 3843. Determine c, given that -2\/3*c + 2\/3*c**2 - 1\/6*c**s + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*40296\/460)\/((-140)\/(-350))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75)\/(-175))\/(228\/56). Let q be (-185)\/(-2)*18\/30. Let x = -57 + q. What is the nearest to v in -2\/11, 2\/5, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/3 - 2) + 3. Suppose -7*f + 24 = -z*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -26*b**3 - b**2 + 1. Let m = 69 - 64. Suppose 0 = 6*f - 11*f + m. Determine n(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9*v - 13*v + 28 = 0, 0 = -4*t + v - 22. Which is the second biggest value? (a) -2 (b) 3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -x, v + 5*x = 1303. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/6 + k**3\/6 + 3*k**2\/2 + 2*k. Give n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175 - -151) + -26 + (-3 - 0).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 430 + -3?\nAnswer: 42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/189 and -1\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1721 - 1695. What is the remainder when 1920 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 - 39*z**2 - 110*z - 239. Determine j(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 5*i + 3*i + 8*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 + 4*h + 6. Let u(j) = -j**3 - 10*j**2 - 4*j - 5. Let b be u(-9). Let m be (b - -45)*(1 - -1)\/2. Determine c(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -11*(2 + -1). Let c = x - 6. Find the second derivative of -c*i - 4*i**5 + 3*i + 2*i**5 wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84590, -35, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s - 9. Let a be (14\/(-28))\/((2\/(-18))\/((-40)\/(-180))). Determine v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555 + 1267 = 9*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from nnqnqqnnqqnqqnqnqn?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**2 + 1 - 7*q - 30*q**2 + 12*q**2. Let v be (1 - (-11)\/(-4))\/(2\/8). Let g(s) = s**2 + 2*s. Give v*g(m) - 2*p(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*w. Suppose 3*q - 30 = 4*g, 3*g + q = -4*q - 8. Let n = g - -10. Solve 0 = -4*c + y + 1, -n*y = -5*c - w*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28218.84km in meters?\nAnswer: 28218840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7014*o + 420 = -6979*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 12949?\nAnswer: -1295b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:17 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-24))**(-28)\/((p**(-3\/10)*p\/(p\/p**2))\/(p\/(p*p**0)*p)**40) assuming p is positive.\nAnswer: p**(7103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 23. Let v = x + 18. Is v != -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 11 + 2)*(-1495*r**2 + 709*r**2 + 135*r**2) in the form n*r + x*r**2 + b and give x.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d + 5 + 3 - 7 - 64*d + 34*d + d.\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6419*d + 6486*d + 634 = -438 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 22*t - 7*t)*(5*t - 4*t - 3*t) + (-3*t - t + 5*t)*(3*t - 4*t + 3*t) in the form l*t + s*t**2 + z and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 387928973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, p: 8}. What is prob of picking 1 p and 1 o?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22552804798024 - 22552805916778.9449973. Let a = 1118755 + j. Let o = -0.055 + a. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43\/60 + -8\/15. Let p = 59\/20 + y. Calculate the common denominator of -38\/9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 131332535?\nAnswer: 131332542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2981, 5961, 8945, 11939, 14949, 17981?\nAnswer: 21041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 + -321. Solve -5*j + 24 = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141700370 and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. What is the first derivative of 4*o**2 + 0*o**q - 48 + 52 wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 3*b - 7. Let t be u(5). Let p = -1 + 3. Suppose 5*q = p*q + t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 110*u + 223*u + 8*u**3 - 1586*u**2 - 115*u + 1598*u**2 to the form g + r*u + a*u**2 + m*u**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198c325 - -5?\nAnswer: 198c32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5341464?\nAnswer: 2, 3, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2403111 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Let f = -4 - 0. What is the nearest to r in -3, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*a - 6, 7*z - 3*z + 3*a = 13. Suppose -2*d + z = 3*f, f - 44*d + 40*d - 6 = 0. Solve -2*l - 7*x - 2 = -3*x, -2*l - f = 5*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a48 (base 11) in base 9?\nAnswer: 17303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s**4 + 62*s**4 - 1214*s**3 + 1215*s**3)*(2 - 2 + 3) to z + f*s + h*s**3 + w*s**4 + v*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v**3 + 7*v**2 - 7*v + 13. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38.2 - 1.2. Let k = 32 - q. Which is the smallest value? (a) -0.4 (b) -6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j - 478 + 1440 = -21*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.16 + 0.62. Let b = g - 36.66. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 111 = 3*r + 99, 5*p + 4*r - 14 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 2*l + 2*l + (-4*l**2 + 2*l**2 + 3*l**2)*(-2 + 3*l + 2) - 2*l**3 + 3*l**3 + 23*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 + z**2 + 1. Let v(l) = -1175*l**3 - 423*l**2 - 423. Calculate -846*t(h) - 2*v(h).\nAnswer: 658*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1552 + -13966\/9. What is the smallest value in 13, -1.2, c?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 22. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 4*z + 380 = 324, 4*c - z = 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 divided by -3.\nAnswer: 227\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(19\/(-133) - 13\/7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z**3\/3 - 23*z**2\/2 - 16*z. Let x be d(7). Find the second derivative of -4*t + 7*t + 4*t + x*t**2 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48467 divided by -1\nAnswer: -48467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 1, -22, -77, -176, -331?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:12 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*b - 148*b - 46*b to the form m*b + v and give m.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 408 + -406. Let -4\/7*q**3 - 2\/7*q**n + 0*q - 2\/7*q**4 + 0 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573067\/9 or 63673?\nAnswer: 573067\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226636387753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.095 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*p**3 + 5*p**3 - 22*p**3 + 5*p**3 - 83*p**3.\nAnswer: -157*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 58. Suppose -t = q - 9. Solve 4 = -z - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*n - 337 = -2253 - 2764 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 11\/6*j**3 - 1\/20*j**5 + 0 - 5*j + 3\/2*j**2 + 2\/3*j**4. Is 24 a factor of z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*n**2 - 11*f**2 - 2*f*n**2 + 10*n**2 - 12*n - 975 wrt n?\nAnswer: -2*f**2*n - 4*f*n + 20*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 46*l**2 - 81*l + 401. Determine o(-44).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**3 - 2*f**2 + 2. Let h be n(-2). Suppose 0 = 5*w - 112 + h. What is the greatest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**7\/98 + z**6\/35 - z**4\/14 - z**3\/14 - z - 7. Let d(m) be the first derivative of i(m). Solve d(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -38, -42, -10, 70, 210, 422?\n\"Answer: 2*k**3 - 42*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:03 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -40791 + 10041. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a factor of 5983842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnsm when four letters picked without replacement from mmlslmllmsnmlck?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3*-3 - 3*sqrt(63))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g + 1. Let y(v) = 11*v - 2. Calculate -5*p(c) - 4*y(c).\nAnswer: 11*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543303933 a multiple of 6648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999027403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 100?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31414584, 62829163, 94243742?\n\"Answer: 31414579*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 14 = -2*a, -9 = 2*h + 4*a - 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(781\/(-33)*(-18)\/4). Let q = n - -116\/1491. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/((-1)\/3). Let l(q) = q**3 + 5*q**2 - 7*q + 8. Calculate the remainder when l(-6) is divided by (-1)\/((-12)\/(-15) - p).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-390) - ((-180)\/130)\/6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44 and (-6)\/(-552)*476 + -7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 7, o: 2, x: 1, l: 1, i: 2, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 - 4?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let b be ((-264)\/36)\/((2\/3)\/(-1)). Suppose 40 = b*c + 9*c. Put -13, 4, c, t in decreasing order.\nAnswer: 4, c, t, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298351594?\nAnswer: 2, 29, 409, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*t**2 - 120*t**2 - 67*t**2 - 115*t**2 in the form l*t**2 + w + c*t and give l.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 6. Let i(x) = -6*x + 5. Let w = -1 + -4. Let p(o) = w*t(o) - 6*i(o). Let h(m) = m. What is p(h(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -223, -198, -127, 14, 249?\n\"Answer: 4*u**3 - u**2 - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o - 14. Suppose -o*g = -k - 11, -3*k + 3*g = 8*g - 35. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25860.04t to milligrams.\nAnswer: 25860040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*p = -4*b + 16, 3*b = 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13463 - -13527.058. Let i = 72.6 - 8.6. Let l = w - i. Round l to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*1.16.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvmxvxxwxmwxr. What is prob of picking 1 m and 1 w?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 74\/10 - (-4)\/(-10). Suppose 0 = -5*k - 2*w - 8, -2*w = -z*w + 5. What is the remainder when 21 is divided by k\/4 + 26\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2067 and 443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 3. Suppose -4*d + 4*i = -28, -3*i - 11 = -5*d - 6*i. Let r be z(d). Let f = -5 + r. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2*(-4)\/(-8)). Let w be (5 - (0 - 0))\/((-1)\/(-1)). Solve 3 = -3*t - 4*r - z, -w*r + 20 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/32 and 17\/184.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/51, -0.5, 0.5, 0, -3, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 59306444\nAnswer: -5\/59306444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 35*d**2 - 69*d + 101. Suppose 3*w = 15, q + 66 = -3*w + 114. Calculate g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 112 = -4*k + 2*u, -2*k = 4*u - 60. What is the remainder when 72 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 15) to base 7.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1001011001001010000?\nAnswer: -1001011001001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Let b be j(7). Suppose 3*x - 3 = 6*x + 3*a, x - 2*a = b. Let u = -26 + 25.5. What is the smallest value in x, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 359 - 371. Is (-7766)\/a - (-20)\/(-120) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-49 - -1 - ((-77 - -35) + 50))) + -9?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 437 + -333. Let m = -103 + o. Let a = -0.1 - 0.9. What is the nearest to a in -1\/2, 2\/13, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28497 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-3\/11)\/f)\/f*f)\/(f*f**(-1)*f) assuming f is positive.\nAnswer: f**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3695247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -100001*z - 3. Suppose 0 = -0*a - a - 3. Let y be x(a). What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 375*r**2 - 503*r**3 + 505*r**3 + 6 - 3 to the form q + v*r + w*r**2 + x*r**3 and give w.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011001111000101111100 (base 2) to base 6.\nAnswer: -300025100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/4 - f**3\/2 - 95*f**2. Let o be i(1). Solve -15 = 5*q + o*l, 2*q = 3*q + 5*l + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(-5)*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -15.95 (c) -4 (d) 27\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-6)\/sqrt(4).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -15. Let j(b) = 49 + 44 - 93 + t*b**2. Let z(i) = -i. Give j(z(f)).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 2937\/178*(-12)\/(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805450721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1205.994552 - 1206. Round g to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 4*g**3\/3 + g**2\/2 + g - 109. Calculate f(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (32 - 4 - (-45 - -132))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391688970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308717 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(182) + 1*sqrt(182))\/sqrt(7))\/((2*sqrt(2) - sqrt(2))*6) - -3*(sqrt(130)\/sqrt(250) - sqrt(78)\/(sqrt(150) - sqrt(6))))**2.\nAnswer: 1573\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1\/214?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15963 + -20.61\nAnswer: 15942.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/((-2)\/(-20)). Let r = 14 + -17. Which is the third biggest value? (a) -1 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0 - 15, 5*a - 4 = 2*r. Let v(t) = t**3 + t - a*t**2 - 3 - 2*t**3 + 4. What is v(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 53 = -z + 185, -d + 3*z - 44 = 0. Let g be (1650\/d)\/((-6)\/(-56)). Find the common denominator of (-135)\/g - (-2 + 3) and 17.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4092 = 16*a + 32*a - 17*a. Suppose 0 = 5*w - 3*m - 168, -167 = -5*w - 2*m + 4*m. What is the highest common divisor of w and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 9*c**2 - 7*c - 2. Suppose 50*w + 2634 = 56*w. Let m = 447 - w. Give u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 2*i + 4*i)*(5 - 3 + 1 + (0 - 2 + 4)*(4 - 4 - 2)) to the form d*i + t and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 4*h**3 - 7*h)*(0*h**2 + 4*h**2 - 3*h**2 + (2*h + 0*h - 3*h)*(-h - 2*h + 5*h) + 0 + h - 1 - 2*h + 2*h**2 + 36*h**2 - 54 + 54).\nAnswer: 148*h**5 - 4*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000709 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j**2 - j + 30. Let p be o(0). Suppose 4*x = 2*x - l - 35, 0 = x + 3*l + p. Let k = x + 20. Sort -1, -4, k in descending order.\nAnswer: k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.817 - -0.288. Let r = -21.5 - p. Let b = 2\/61 - -57\/122. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817221*a**2 + 3*a + 817220*a**2 + 0*a + 0*a - 3*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2241 by -65.\nAnswer: 2241\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**5 + 49912*a**4 - 103866854*a**3 + 276739852*a**2 - 242078760*a + 69155856 = 0.\nAnswer: 2\/3, 1, 4158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*r - 9811 - 1859 = 5655 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/4))**(-15\/11))**(-8\/5) assuming v is positive.\nAnswer: v**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(325))*3 + (sqrt(325) + 0 + 1 - sqrt(325)).\nAnswer: 4 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(5)*-1 - sqrt(5))*-2)**2.\nAnswer: 80*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100\/297 + -1\/297. What is the closest to a in 64, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22770608 divided by 4.\nAnswer: -5692652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-2\/7))\/a*a)\/a**(-2\/17)*a**(-3)*a\/a**6)\/((a**(-2\/7)*a)**2\/(a\/a**(2\/5))**(-36)) assuming a is positive.\nAnswer: a**(-17032\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -355072, -710006, -1064954, -1419922, -1774916, -2129942, -2485006?\n\"Answer: -m**3 - m**2 - 354924*m - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g - 166*g - 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7389 + 9770. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/4 - 76*f**3\/3 + 722*f**2 - 3155. Find v such that l(v) = 0.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*c**3*z**4 + c**3*z**2 + 90*c**3*z - 5287*c**2*z**2 - 24*c*z**4 - z**2 + 2*z wrt z.\nAnswer: 2784*c**3*z - 576*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321888*392.\nAnswer: -126180096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = -6*n. Suppose n*q + 7*q = 4653. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 8:59 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34064 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*s + 8760 = -4871, 6832 = 2*r + 4*s. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3478852307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91768319233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 164*q**2 + 2*q**3 + 85*q**2 + 79*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 67341*t - 1213763. Determine x(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286619800*f**4 + 340510371*f**2.\nAnswer: 6878875200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in -1, 175, -2\/19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5357 and 374.\nAnswer: 182138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10608\/1904)\/((-2)\/(-28))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3\/3 + 4*y**2 + 8*y + 4. Let l be m(9). Is -7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.660594 microseconds to seconds.\nAnswer: 0.000002660594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11401752 divided by 2\nAnswer: -5700876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 292.829981 to the nearest integer.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 685 and 822?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1445*r + 269*r - 876*r - 207*r - 362*r as w + k*r and give k.\nAnswer: -2621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/360 + j**5\/30 + j**4\/6 - j**3\/3 + 3. Let g(n) be the third derivative of a(n). Solve g(b) = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)\/1 - 50\/(-100).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10555 by -14442.\nAnswer: -10555\/14442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 48, 55?\n\"Answer: 7*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/3 - 29450*d\/3 + 58892\/3 = 0?\nAnswer: 2, 14723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 3. Let v = -389 + 391. Determine h(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x - 14*x = 258 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 602\/49 - (-2)\/(-7). Let p = -8 + l. Suppose -p*j + 4*r - r + 341 = 0, r + 440 = 5*j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/72*-6)\/((-249)\/67230)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2 + 90\/(-42))*35\/(-30). Sort -2, j, 9, 15.\nAnswer: -2, j, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.91 * -124.\nAnswer: 112.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5bc7 - 10?\nAnswer: -5c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(sqrt(363)*-2 + -6*sqrt(48))**2.\nAnswer: -95220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from lllmlllml?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (98\/(-6))\/(4\/12). What is the tens digit of (h\/(-2))\/(8\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.2 (b) -2 (c) 2\/11 (d) 2\/15 (e) -13 (f) -2\/47 (g) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) 1\/9 (c) 2\/11 (d) -1 (e) -1\/8 (f) 593 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8474+982\nAnswer: -7492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h - 2. Let z be j(-7). Let l be (-39)\/(-12) - z\/(-8). Solve 0 = l*q + 11 - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 40 = -2*a, 226 = 5*x + 31*a - 28*a. Solve -5*s + 27*s - x = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8051939, 8051629, 8051309, 8050973, 8050615, 8050229?\n\"Answer: -v**3 + v**2 - 306*v + 8052245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 966087*l**3*w**2 - 1017*l*w + 5*w**2 - w wrt l?\nAnswer: 5796522*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276*h**4 - 4*h**3 - 42*h**2 - 140788*h wrt h.\nAnswer: 3312*h**2 - 24*h - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udpdiipup. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v. Let u(l) = 31*l**2 - 58*l**2 + 30*l**2. Determine f(u(s)).\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52724 + 2406?\nAnswer: -50317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b - 45 + 130 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 - 5*m**3\/6 - m**2 - 2*m. Suppose 3 = -3*j - 3*r, 3*j - 3*r = -j - 18. Let l be q(j). Solve l*o - 2 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2505516, -2, 1 in ascending order.\nAnswer: -2505516, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022*l**3 - 1661*l**3 + 225*l**3.\nAnswer: -2458*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1, 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381 - 205 + 4*d - 176.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 141 + 173 + 2*z.\nAnswer: z + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 58*n + 13*n.\nAnswer: 69*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 5*u - 33. What is the remainder when 83 is divided by ((-12)\/u)\/(86\/215)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 - (3 + -1 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.02 + 0.02. Let l be ((-25)\/65)\/((-3150)\/3276). What is the smallest value in -21, l, v?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*p + 34. Suppose p*o = -2*o. Suppose o = -2*m + 5*m - 498. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 3 (c) -160\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 260 + 346)*(3 - 3 - 2)*(-g + 2 - 2)*(1 + 0 + 1)*(2 + 3 - 6) to the form k + z*g and give z.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51802 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -14. Let r(i) = 2*i**2 - 7*i - 20. Is r(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q\/((q\/q**37)\/q))\/q)*q**(-4\/9) assuming q is positive.\nAnswer: q**(-328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 3*u**2 - 1. Let o be d(3). Let a(h) = 135*h**2 + h + 1. Let b be a(o). Find the common denominator of -3*1 - b\/(-6) and -143\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96325590*t + 30090621.\nAnswer: 96325590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463293 bigger than 1463292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1172 times -2\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443876 is divided by 221897.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - 3 - (3 - (6 - 10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = 5*z, -3*f + 2*f - 4 = z. Let d be f\/(-1) - (-1 - 1). Suppose -d*s + s + 69 = 0. Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c + 73. Give w(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88.3 + -88.3009665. What is s rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*t - 3 - 25*t + 1)*((-t - t + 0*t)*(0*t**2 - 2*t**2 + 3*t**2) + 0*t**2 + t**3 + 0*t**2) as x*t + v*t**3 + u*t**2 + o*t**4 + g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-28))\/(98\/343).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 149214, 75?\nAnswer: 149214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68714 (base 14) to base 11.\nAnswer: 163792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217211742 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222591*o**3 - 489*o + 3*o**4 + 9*o**5 - 2*o**4 - 222617*o**3 - 4011*o wrt o?\nAnswer: 180*o**3 + 12*o**2 - 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z. Let m(n) = 40*n + 61*n - 78*n. What is m(s(k))?\nAnswer: -161*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8792 hours in milliseconds?\nAnswer: 6765120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 42552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8772*y**2 + 2*y**5 - 117*y**6 - 1200*y**3 + 1200*y**3 + 1571*y**6 wrt y.\nAnswer: 174480*y**3 + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -135*n. Let v(i) = 9*i. What is x(v(t))?\nAnswer: -1215*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 30*i**2 + 24*i + 741. Give a(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/(-63))\/((-12)\/(-14)))\/(63*276\/195615)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100002201111 - -12?\nAnswer: 2100002201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -167565 - 115?\nAnswer: -16767a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -131*m**2 + 77*m + 139. Let r(b) = 66*b**2 - 39*b - 64. Calculate 6*n(c) + 13*r(c).\nAnswer: 72*c**2 - 45*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 3*h - 50. Let x be m(-24). Suppose 3*r - x = -2*b, -b + 4*b = -3*r + 900. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-1 + 1*(1*sqrt(17) - sqrt(17)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -4. Let y be v\/4 + (-18)\/(-12). Is (16\/12)\/(y\/12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1620)\/(-432))\/(9\/(-12))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482\/35 + 88\/7. What is the closest to 1 in 3\/4, -4, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 57 = -5*t - 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1465 + -1351. Calculate the smallest common multiple of x and 66.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -11. Let c = g + 4. Let y = 63\/4 + -571\/36. Is c greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1114 = 7*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 40. Let q(z) = -3*z - 3*z - p*z + 4*z. Suppose -3*g + 3*c = -15, -2*c = -0*g - 4*g + 14. Give q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 41.\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = 5*m - 1221. Suppose 156*z**2 - 42*z**2 - 39*z**2 - 40*z**2 + 60 - m*z - 44*z**2 = 0. Calculate z.\nAnswer: -5, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/3)*v)**6*(v\/(v*((v\/v**(1\/3))\/v)\/v))\/v*v**(3\/2)*v assuming v is positive.\nAnswer: v**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1220?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 4*l + 2*l - 2*l + 9 - 2*l. Let d be r(-6). Suppose -c + 7 = 3*n, -d = -0*c - 3*c + 3*n. Solve 5*a + 5 = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t**2 - 5*t - 5. Let s be i(-2). Suppose 4*z + s = v, 2*v + z - 96 = 38. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 3, 2 in decreasing order.\nAnswer: 3, 2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/934296 and 53\/72.\nAnswer: 2802888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -11. Let x = 9 + d. Let r be 0 + ((-14)\/18 - -1). What is the smallest value in 4, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v**2 - 41*v - 1301. List the prime factors of o(-19).\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.02303 take away 1.02?\nAnswer: -0.99697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (0 + (-15 - -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51032014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/((-10)\/120). Let t(y) = y**2 - 8*y + 20. Calculate the lowest common multiple of t(r) and 2\/3*(10 - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.25 + -12.16. Let h = -5.51 - u. What is the third biggest value in -1\/5, h, -6, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 699 + 115. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -406 - -416. Suppose 0 = -o*b - 39322 + 194592. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Let y = -0.07 + 0.37. What is the closest to -1 in k, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u - 49 = 21 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4588.53 and -8.\nAnswer: 36708.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63376, -63128, -62714, -62134, -61388, -60476, -59398?\nAnswer: -58154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/27 - (-4312)\/(-2079).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*d**2*f**2 - 150*d**2*f + 7*d**2 - d*f**2 - 9004 wrt d?\nAnswer: -38*f**2 - 300*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 7*g**2 + 23*g - 24. Let z = -73 + 83. Let w be m(z). Suppose 4*u - 10 = -w. What is u rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*u - 7125 = -30005 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o**4 + 475*o**3 - 10*o**2 + 3765. Let j(q) = 2*q**4 + 95*q**3 - 2*q**2 + 753. Let f(s) = -14*j(s) + 3*p(s). Differentiate f(u) with respect to u.\nAnswer: -4*u**3 + 285*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.58 - 30. Let o = s - 0.18. Which is the nearest to -1? (a) -0.6 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 901.1 + -900. Let n = 2.1 + -1.1. What is the second biggest value in k, n, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymyttayyaoa. Give prob of picking 1 o and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135375705.\nAnswer: 3, 5, 334261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-15) - 38*3\/(-30). Suppose -5*x = -v*u - 864, -x = -3*u - 0*u - 648. Is 15 a factor of 35\/(-2)*u\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4441130478?\nAnswer: 2, 3, 82243157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*h - h + 108 = 0, -h = -4*g + 100. What is the remainder when 45 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - -426)\/((-1)\/(-7)). Suppose -4*s - 7*x = -2*x - 12173, 0 = -s + 4*x + g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -774.\nAnswer: 1\/774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + 13. Suppose -a - 26 = -3*r, -a - 10 = -0*r - r. Calculate the remainder when p is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**2 + 3*h. Let p(m) = -8. Let y(n) = -9*n**2 + 4*n + 48. Let c(u) = 6*p(u) + y(u). Calculate -3*c(s) + 4*d(s).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6761*t**3 - 4636*t wrt t.\nAnswer: -40566*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, -2, 1047, 2, 3 in ascending order.\nAnswer: -144, -2, 2, 3, 1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = 3*w - 16, 2*w + 17 = 3*z. Suppose -2*d = 5*o + 21, z*d = 7*o - 3*o + 30. Solve -2*k = -6*r + d*r - 2, 1 = -3*k + 2*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 2480 = -222*r + 2280 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14444 - 1110?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -577973665+-0.4\nAnswer: -577973665.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((612\/24)\/((-2)\/8))\/(1014\/(-676)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/(-12)*(-18)\/(-2). Let t = o + -21. Let f = -14 + t. Calculate the remainder when 12 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 - 3500*c**4 + 270000*c**3 - 6812500*c**2 + 57031250*c.\nAnswer: -2*c*(c - 25)**3*(c + 1825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -11. Suppose -2*w + 129 = -z. Suppose -28 = -2*b - p - 9, 4 = b - 5*p. Calculate the greatest common divisor of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 20. Suppose -5*k + 3*f + 380 = 0, -l*f + 304 = 4*k - f. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*r + 16 = z, 10 = -2*r. Suppose z*y + 5*t = -28, -7*y + 2*t + 8 = -5*y. Put 5, y, 0 in descending order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3, 34\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-168))\/((-154)\/224)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let z(n) = 20*n - 22. Determine 120*y(v) + 5*z(v).\nAnswer: -20*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3133, 3577, 3967, 4273, 4465?\nAnswer: 4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 2*g + 1. Let v be s(3). Suppose -w + 2*c = 1, -4*w - v*c - 1 = -9*c. Suppose w = -3*p + 7. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/21 - 120*n**2\/7 - 2539. Determine v, given that s(v) = 0.\nAnswer: 0, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d + 120. Let x(j) = -5*j + 62. Calculate 4*n(h) - 7*x(h).\nAnswer: 3*h + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3149790 is divided by 1161?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8721 + 228?\nAnswer: 8949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**14\/a))\/a*a**(-1\/41)*(a\/(a*a\/(a\/a**(4\/7))))\/(a*a\/((a*a**(-4\/3)\/a)\/a)*a) assuming a is positive.\nAnswer: a**(-17159\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from {x: 2, q: 7, r: 2, l: 7, c: 2}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from bcbnndbdnbcb.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2386373 + 2386373.02360201. Let w = -0.0236 + f. Round w to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100020012101011 (base 3) to base 9\nAnswer: 10205334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -687 - -1266. Let q = b + -397. Suppose -s + q = 3*c - 0*s, -2 = -s. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15))\/((-14)\/(-35)) + 10. What is the highest common divisor of 2779 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 14*f**2 + 9*f - 18. What are the prime factors of k(14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8751 = 9*w + 8850 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x - 84. Let n be p(-9). Suppose q = 2*q - k - n, -5*q + 271 = 3*k. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 9 - 28*s - 118*s + 154*s - 8.\nAnswer: 8*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-75))\/(4*(-8)\/(-320)*-2)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36392083 or -145568331\/4?\nAnswer: -36392083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5050385 or -5050387?\nAnswer: -5050387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*b = 700, -511 = -3*q - 3*b - 64. Suppose -10 = -3*m - 1. What is the derivative of q - 81 + 15*p**m - 69 wrt p?\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1251 - -1243. Put -5, 2, f in descending order.\nAnswer: 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)\/sqrt(4) + (sqrt(192)*-1)**2)*3.\nAnswer: 9*sqrt(3) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15.25235ms?\nAnswer: 0.01525235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/4 - 71*n**2 + 9*n\/4 + 639 = 0.\nAnswer: -284, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - -19.96. Round n to the nearest integer.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + m**2 - 4*m**2 - 3*m + (-4*m + 2*m + m)*(8*m - 22 + 22) as c*m**2 + f + t*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 60. Let c = -68 - -632. Suppose 0 = -15*z - c + 99. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*r = -558*r + 224. Solve -986*h + 982*h + r = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 22. Let a be -3 + (200\/12)\/p. Find c, given that 1\/3*c - 1\/3*c**3 - 1\/3*c**2 + a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87717 - 33768. What is the ten thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (16\/18)\/((-16)\/24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/3 + (-57)\/(-171)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 - 12*f**2 + 4*f + 25. Let v(m) = -m**3 - m**2 - m. Let i(p) = o(p) + 5*v(p). What is the tens digit of i(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 697 + 708 = 2*x, x - 3*h = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138106.222774 less than -0.2?\nAnswer: -138106.422774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 674254 * 0.2\nAnswer: 134850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8482176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 + 15*r + 434. Let v be l(9). Solve 0 = -v*g + 6, -3*a - 6 = -756*g + 754*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11971*b**2 - 11964*b**2 + 34868*b**2 - 10934*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-1)\/((-414)\/(-12))))\/((-17)\/(1360\/60))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266346 = -50*u + 1000654. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 14 = 136. Let y = 91 - 93. List the prime factors of (-2784)\/j + ((-18)\/10 - y).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11514 + -8196. What is the remainder when f is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/10 - v**4\/3 - v**3\/6 - 3*v**2\/2 - 11*v. Let t be z(3). Let o = 30 + t. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -4.\nAnswer: -12, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -7*i**2\/2 + 11*i - 133. Let o be y(1). Sort -4, -3\/4, o in ascending order.\nAnswer: -4, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w**2 + 8*w + 3. Let f be b(-3). Let s be (4*3\/18)\/((-16)\/f). What is the second derivative of 1 - 3*i**4 + 20*i**4 + s*i - 1 wrt i?\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -103 (c) -2 (d) 0.1 (e) 0.2 (f) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/2 - 1152*t**3 - 2301*t**2\/2 = 0.\nAnswer: -767, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 106*i - 2209. Calculate the remainder when 546 is divided by k(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - 4*j - 4. Let x = 16 - -7. Suppose -2*k = -23 - x. Calculate the remainder when k is divided by g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1976222 + 3679701. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 393*m + 1. Let a(b) = b**2 - 5*b - 5. Let w be a(6). Suppose 2*i - w - 9 = -p, 20 = 5*i. Is t(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5f + 2?\nAnswer: f61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -56*z**4 - 79*z**3\/3 - 2*z + 348. What is the third derivative of i(g) wrt g?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -100. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 33*n + 48. Let x be z(-15). Let d be ((-170)\/(-58) - x)\/((-4)\/18). Which is smaller: 2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 180 = 15*v. Suppose -q = -29 - v. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -1\/6, 0.3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*t + 82 = 6*t, -a - t + 21 = 0. Suppose -a = 8*u + 37. Let q(o) = o**2 + 2*o - 13. Calculate the smallest common multiple of 18 and q(u).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -495.86, 0.5, -12, -2\/3, 2, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y\/((y**(1\/5)\/y)\/y)*(y\/(y\/(y**0\/y)*y))**44)\/((y*y**(1\/2))**(4\/11)\/(y\/y**(-6)*y**(-2))) assuming y is positive.\nAnswer: y**(-4716\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((2 - 3)*1). Let u = 0.433 - 4.333. Let w = u + 4.4. What is the closest to i in w, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a0 - 2?\nAnswer: -19a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -77 - 639*x - 99 + 21 - 18. Is o(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 8, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(1\/32)*(k**(2\/21)\/k*k)\/k*k**(2\/9))\/((k**(2\/7))**(18\/11)*k*k**(-7)*k*k**8*k*k) assuming k is positive.\nAnswer: k**(-68885\/11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 + 11*x**2 + 4*x**2 - 26*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5*c + 6698*c**2 - 29*c - 6643*c**2 + 11 - 9 as z*c + a + g*c**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/8)\/(3\/(-6)). Let r be (-2 - -2)\/(z + -1). Which is the closest to -0.1? (a) r (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**2 + 4*f + 4. Let u(h) = -7*h**2 - 4*h - 3. Let l(v) = -3*c(v) - 4*u(v). Let l(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/13 - 484700*d\/13 - 29366761250\/13 = 0. Calculate d.\nAnswer: -121175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 - 8)*(-2*n - 4*n + 4*n) - 13 - 2*n + 8 - 2)*(3*n - 3*n - n)*(0*n - 4*n - 2*n).\nAnswer: 132*n**3 - 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 5c43812?\nAnswer: 5c4381c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*l = 205, -h + 2*l = 4 + 44. Is -37 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -15. Suppose h + f + 22 = 0, -2*h + 3*f - 16 = -g*f. Let v = h + 36. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145803 - 70372. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -2\/21 (d) -74\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/8)\/(3 - 1443\/480) is divided by -2*1 + (39 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -763 (base 13) to base 14.\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:45 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -391431, -391445, -391475, -391527, -391607, -391721, -391875, -392075?\n\"Answer: -z**3 - 2*z**2 - z - 391427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30754*a**2 - 6*a + 30747*a**2 - 4 - a + (2 - 5 + 2)*(3*a**2 + a**2 - a**2) in the form y*a + d*a**2 + k and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7285647.6 microseconds?\nAnswer: 0.000012046375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7371*a + 29075 = -116*a + 19827 - 147979 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(18)*-4 + 3 - sqrt(18))*-3.\nAnswer: -9 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/6 - 275633*k\/6 - 137816\/3 = 0.\nAnswer: -275632, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -1, 0, -3 in increasing order.\nAnswer: -3, -1, 0, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 96139.58kg?\nAnswer: 96139580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Solve 2*l + 6 = 0, y - 2 = l + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252614101.\nAnswer: 17, 19, 782087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:13 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, -3, 57, 3, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/30*(-72)\/(-63).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p + 4. Let o = 636 - 638. Give k(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 2*x**3 - 2*x - 2*x + 109*x**2.\nAnswer: 2*x**3 + 109*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 3619, 1 in decreasing order.\nAnswer: 3619, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30*w - 3. Let r(l) be the third derivative of -l**5\/60 - 2*l**2 + 13. Calculate g(r(h)).\nAnswer: -30*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmj when four letters picked without replacement from {j: 6, m: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4036\/13375 + -34\/107. Let z = i + -111\/875. Let r = 9.88 + -9.81. Which is the closest to 2\/9? (a) z (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0 + 12. Let x(v) = 3*v - 15. Let i(t) = -t + 1. Let a(b) = i(b) + x(b). Let u be a(7). Is z at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**4\/12 - 7*k**3\/6 - k**2 - 83*k. Let m = -3 - -9. Let z(u) = 2*u - 8. Give m*b(v) - 5*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 34 = -3*l, 5*h = -6*l + 100 - 17. Calculate the lowest common multiple of l and 50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/22? (a) -0.1 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -9.9. Let y = 13 + s. Which is the second biggest value? (a) 3 (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 6d43?\nAnswer: 6d50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 28 = 44. Does 7 divide 9\/f*(-9)\/((-81)\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.52 + 1.9. Let s = v - -0.12. Let i be (5\/(-1))\/(-2 - 0). Which is the biggest value? (a) 2\/5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1293 divide 4016058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*a - 342, -5*v - 66 = -2*a + 54. Let q be 322\/a + 2\/5. Solve q*m + 24 = j, -2*j + j = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92300 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 568, 275, -5 in descending order.\nAnswer: 568, 275, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 297 + -297. What is the smallest value in -0.2, -2\/13, -8, a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 - -7290?\nAnswer: 7230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(36\/(-9)). Let m = -128 - -79. Let i = m - -48.7. What is the second biggest value in a, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*p**3 + 7*p**2 - 6478*p + 1878913?\nAnswer: -21*p**2 + 14*p - 6478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63889, 127614, 191339?\nAnswer: 255064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**3 + 2*p**2 - 22*p - 58. What is g(-3)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 516714 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48 + 484*n**2 + 264*n + 2662\/9*n**3.\nAnswer: 2*(11*n + 6)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 + 123*j**4 + 1197*j**3 + 501*j**2 - 5100*j + 3276 = 0 for j.\nAnswer: -26, -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 692821150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (-2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 509535 + 158?\nAnswer: 509691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11203075670457 + -0.4.\nAnswer: -11203075670457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.66 in -2\/13, 1\/5, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 3. Let g be t(6). Let x = 138 - 134. Which is the nearest to -0.2? (a) -2 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 4*b + 5. Let z be h(-5). Let y = -28 - -47. Let q = y - 14. Solve z = -3*p + 2*f - 14, 21 = -q*p - 0*p + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**4 - 1024*d**3 + 2480*d**2 - 1088*d.\nAnswer: 4*d*(d - 34)*(d - 2)*(7*d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o + 40. Let g = 8 + o. Let d be (-23)\/g + (-6)\/10. Solve n = d*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*v, 4*v = -0*v - 5*h + 1. Let g be ((320\/(-12))\/(-5))\/(v\/(-3)). Solve -d - g = 4*o, 4*d - 3*o + 7*o = -16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(14)*1 + sqrt(14)))\/((2*sqrt(12))\/sqrt(6)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 + 85173*c - 8994630 = 0. Calculate c.\nAnswer: 106, 28285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108817000 rounded to the nearest one million?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-84)*(-471)\/(-70). Let t = 21\/5 - x. Put -3\/7, 2\/13, t in decreasing order.\nAnswer: 2\/13, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -188, -315, -458, -623, -816, -1043?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 5*j + 5900000. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*b**2 + 228*b - 1 wrt b.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y*y**(13\/5)\/y*y*y)*y\/y**1 assuming y is positive.\nAnswer: y**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 3*x + x - 8*x**3 + 14*x**3 - 8*x**3 - x**2 as k*x**3 + w*x**2 + c*x + m + z*x**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4851662.\nAnswer: 2, 37, 65563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.6. Let w = 21 - 18. What is the smallest value in h, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19414, 19957, 20490, 21007, 21502, 21969?\n\"Answer: -u**3 + u**2 + 547*u + 18867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744012 and 374994?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, 27 in ascending order.\nAnswer: 0, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7785 and 77\/39.\nAnswer: 101205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 80 + 86 - 146 + 2*q - 3*q**2 + 98 as v + f*q**2 + w*q and give v.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, -334, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/34 and 182\/(-112)*(-3)\/(-1)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 518, 6, 15\/26 in descending order.\nAnswer: 518, 6, 15\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 1956658459661.\nAnswer: 1956658459697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 145, 153, 165, 181, 201, 225, 253?\n\"Answer: 2*j**2 + 2*j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 39. Suppose 0 = 55*o - 50*o + 40. Let p be o + 2 + (-2 - 1). Calculate the lowest common multiple of 9 and g(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let t be f(-1). Let n be ((-33)\/(-18)*-2)\/(t\/(-276)). Let v = n + -237. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i - 2*y, -27 = 6*i - i + 4*y. Let f be (1 - 3)\/((-196)\/294). Suppose 0 = t - 4*t + 3*o + 6, -4*o - 4 = -2*t. Sort f, t, i.\nAnswer: i, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -a3?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffniffnffnfjfffjfff. Give prob of picking 2 j.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 51 - (2 + -5 + (-1 - 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g**3 - 7*g**2 - 5*g - 10. Let h(i) = -i**3 + i**2 + i + 2. Calculate -b(m) - 5*h(m).\nAnswer: -9*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 m when three letters picked without replacement from {m: 4, h: 5, k: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*h + 30 = 0, 4*h = 3*p - 0*h + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 11 - 2 = 0. Let u = 14 - 11. Let f be 1 - n - 1*u. Sort f, 3, -3 in decreasing order.\nAnswer: 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7465200 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.02 + 1. Let g = 0.58 - m. What is the third smallest value in 0.1, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 31. Suppose k*f + 64 = 2*d, -3*f + 57 = 5*d - 3*d. What is the greatest common factor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/7 - 41764*m**2\/7 + 41770*m\/7 + 83532\/7 = 0 for m.\nAnswer: -20883, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 - x - 1. Let f = 38 - 35. Give g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/((-2808)\/336)*((-23)\/((-20930)\/(-8340)) - -9).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 2 + 3*w**2 - 7*w**2.\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 11 - 108. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -11 + (-72 - -58).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4600 and 658.97?\nAnswer: -3031262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1769\/((-2)\/(-9)*(-63)\/(-98)). Do u and 12383 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18949*a - 490 = 18984*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7\/3)*i**4*(i\/((i\/i**(-1\/6))\/i))\/i*i*i**(-2) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1214\/5, 4042, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = p, 4*y + 5*p + 0*p = -60. Let j be (-3)\/15 + (-32)\/y. Suppose 5*d = j*d + 246. Does 37 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46041\/277982 + 47\/1061. Find the common denominator of y and -7\/393.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g)**13)**20 assuming g is positive.\nAnswer: g**(260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 444 + -912d?\nAnswer: -8ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.2, 0.09, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let r(f) = -f**2 + 7*f + 4. Let t be r(8). Sort t, -3, y in ascending order.\nAnswer: t, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 3258 = 13*k. Let u = 538 - k. What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from {p: 3, a: 2, m: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {y: 2, b: 3, m: 3, v: 6, c: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 614102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -141\nAnswer: -7\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -105 - 7ac44?\nAnswer: -7b049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 15*q**2 - 24*q - 28. Let m be r(13). Suppose 15 = -0*l + 3*l. Let s(j) = j**2 - 6*j + 3. Let n be s(l). Do n and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmmm when four letters picked without replacement from zzmmzzmzzz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*v - 4*b**2 + 18780*b - 660081*v wrt b?\nAnswer: 2*b*v - 8*b + 18780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1, -2\/3, -2\/7, 176, 64.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/42)\/((-8)\/18272). Let s = 376\/7 + v. Which is the smallest value? (a) -1 (b) -0.5 (c) 1\/9 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.63776 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 424247764*k - 424247764*k + 4*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1455 - -3073. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.8 + 252.2. Let z = v + -329.3. Let k = -6 + 6.4. Which is the second biggest value? (a) z (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*t + 5*z + 1, 7 = 2*t - 5*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169555 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 120 = -2*h, -4*b = h + 2*h - 245. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 = -5*b, -6*s = 4*b - s - 22. What is the smallest common multiple of b and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)\/(((-20405)\/14)\/53).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*w - q + 18600003, -5*q + 24800015 = 4*w. What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384816 is divided by 137.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20300641 to the nearest integer?\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - g - 193 + 3*g + 100 + 92 to the form c*g + x*g**2 + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -4 - 10)*-1. Suppose -j*x + 90 = 4*x. Solve -4*v + x = -7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*(2*sqrt(170) - sqrt(170))*3)\/((sqrt(1210) - -6*-1*sqrt(1210)) + 5*sqrt(1210)*-1))**2 + 0.\nAnswer: 612\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (-31826 - 0). Let w = z - 5038. Suppose 0 = 4*k + 3*c + w, 0*k + 20104 = -3*k + c. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 80 = t + 3*f, t - 3*f - 16 = 0. Let d = -11 + t. Solve 7 = 2*w + 5*u, w - 4*u + 11 = -d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -5*y**8\/336 + 4*y**7\/21 + 71*y**6\/24 + 85*y**5\/6 + 205*y**4\/6 + 140*y**3\/3 - 874*y**2 + y. Solve t(u) = 0 for u.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/15)\/((-8)\/(-90))*(-592)\/(-888). Suppose -5*l + 22 = 3*b, 5*b - 3 = -3*l + 23. Suppose u = -b*u. Solve u*z = -z + f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 - 925\/4. Let l = -185.2 - -26.2. Let u = l - -158.6. Which is the third smallest value? (a) y (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {z: 3, t: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/80 and 47\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1\/2, 0.3, 0.1, -4.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.1, 2\/7, 9207991 in increasing order.\nAnswer: -0.1, 2\/7, 2\/3, 9207991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 2*a - 10 - 6*a + 10 + (0 + 6 - 4)*(-a - 4*a + 4*a) - 21*a + 3*a + 13*a)*(4 - 5 - 1).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + 21?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Suppose 6*q = q - 25. Put 4, x, q in decreasing order.\nAnswer: 4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293103 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 24 = -36. Suppose 5*q - 3 = -18. Let i = -1 - q. Solve -r = -t + 6*t + i*y, 5*t + 4*y + 14 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48116, 48860, 49604, 50348?\nAnswer: 51092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 80530770.\nAnswer: 80530770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9030 is divided by 260?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(-4 + 15\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 9*t + 14. List the prime factors of w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j - 32. Give x(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - s)*(-s**2 - 11*s**2 - 2*s**2) + s**3 - s**3 + s**3 + (-s**2 + s**2 - 2*s**3)*(-6 + 3 + 2) - 2*s**3 + 6*s**3 - s**3.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 7*t - 18 = 0. Suppose t*y + 108 = 22*y. Calculate the highest common factor of y and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10 - g**2 - 18 - 26 + 3*g**2.\nAnswer: 2*g**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46\/2 - (15 + -19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5223, -10438, -15651, -20862, -26071?\n\"Answer: r**2 - 5218*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 26116\nAnswer: 52232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10899860 divided by -3308.\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 21. Suppose -4*t + k = -4*f, -2*t - 3*t = 2*f - 75. Let g(d) = -d**2 + 26*d + 153. Calculate the remainder when g(30) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (-2)\/(-1). Let b(f) be the third derivative of f**4\/12 - f**3\/6 - f**2. Calculate b(q).\nAnswer: 3","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: Let p = 57 - 47. Sort -0.4, 0.5, p, 0.2 in descending order.\nAnswer: p, 0.5, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1574 = 1288. List the prime factors of c.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417569001 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let b(i) be the third derivative of -17*i**4\/8 + i**3\/2 + 84*i**2 + 2*i. Determine u(b(x)).\nAnswer: 51*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663421111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 4. Suppose 4*w - 22 = -i. Suppose -1 = f + 3*m, w*f - 43 = -m - 3. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3271*b**2*j**3 + 104*b*j**3 - j**3 wrt b.\nAnswer: -6542*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - i = -15, -3*s + 2*i - 28 = -3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 2\/3, -4, -6.\nAnswer: -6, -4, -0.29, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1634 - 1632. Which is the fourth biggest value? (a) p (b) -1 (c) 0.0293 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4764 = -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 23*l**2 + 23*l + 26. What is u(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + (-121)\/(-7). What is the units digit of d\/3 + 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwfwwyvw. Give prob of picking 2 v and 1 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5953978, 47631812, 160757358, 381054472, 744247010, 1286058828?\nAnswer: 2042213782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/4))\/d)**(-16)*(d**2)**(-48) assuming d is positive.\nAnswer: d**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1877, 3739, 5587, 7415, 9217?\n\"Answer: -i**3 - i**2 + 1872*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k - 8 = 0. Suppose 2*u - 324 = -k*u - 3*y, -4*u = -y - 340. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 60*h + 180 = 0. Calculate h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 33. Does 10 divide ((-21)\/63)\/(n\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 127, 164, 203?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 5 + 20*a**5 - 14*a**5 + (2 - a**2 - 2)*(4*a**3 - 3*a**3 + 3*a**3).\nAnswer: 2*a**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*p - 89, 33*p - 48 = -f + 28*p. Let z = 2 + -5. Let n = f + z. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/57*9\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 70 = 3*h. Suppose 2*n - h = -4*u - 0*u, 4*u = -3*n + 31. Which is the closest to 4? (a) 4 (b) n (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, 7, 6 in increasing order.\nAnswer: 0, 3, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/(-36))\/((-141)\/(-28764))*(-2)\/4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 762538 at most 762538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 6*t + 7. Let z be y(-6). Let m(a) = -z*a + 9*a - 1393 + 1414 - a**2. List the prime factors of m(-28).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7638 or 7624?\nAnswer: 7624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 169969, 169970, 169971, 169972, 169973, 169974?\n\"Answer: k + 169968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7014858930 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*w + 13 - 1, -3*w + 5*m + 17 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**3 + 193*w**2 + 1653*w - 2044171.\nAnswer: -3*w**2 + 386*w + 1653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o - 28. Let y be 0\/1 - (-6)\/72*-12. Calculate the remainder when 53 is divided by u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 7*o**2 + 6*o + 9. Calculate the least common multiple of p(-6) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/20 + 2*g**4\/3 - g**3\/2 - 33*g**2\/2 + 19*g. Let h be w(7). Let x(i) = -4*i - 7. Calculate x(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 0\/(-2) + 0. Calculate the remainder when 40 is divided by 70\/4*(-8)\/q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/88*4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let w = -4 + 8. Let z(x) = -2 - 4 - x + 0 + w. What is -5*h(q) - 3*z(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20 + -21 - 3*(-26)\/3. Calculate the greatest common divisor of j and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 64 = p. Let h(k) = -k**2 + 20*k - 26. Suppose -42 = -3*n - 0*g - 3*g, 0 = -3*n - g + 50. Calculate the remainder when p is divided by h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (4*sqrt(4))\/sqrt(2) - (sqrt(4)\/sqrt(2))**2*-1).\nAnswer: 10 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.01447 kilometers to millimeters.\nAnswer: 40014470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v - 2*v**2)*(3*v**2 + 97*v**2 - 20*v**2) + (-4*v**2 - 3*v**2 - 5*v**2)*(-3 + 3 + v**2) to g + r*v**2 + w*v**3 + y*v + c*v**4 and give c.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (1 - -4 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/72 + (-8328)\/192?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 79. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2 - 12*b + 5. Let y be k(9). Solve -u - y = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3731620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*(5 + (-125)\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 33774?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/(10\/(-560)). Suppose -8*s + 4*s = o. Let l = s + 25. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55231 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 5, p: 3, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116565 (base 7) in base 9?\nAnswer: -32513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Which is bigger: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8597760 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ad - -2926c2?\nAnswer: 292880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*22\/77.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7094072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 2}. Give prob of sequence rm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1067*y - 1061*y - 42 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 times -1819?\nAnswer: 1951787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*n - 430, 4*n + 167 = -2*s - 663. Let w = n + 214. Solve w*v + 7 = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20.77 or 3452?\nAnswer: -20.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o = -13*o + 9*o - 429 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -0*g, s + 4 = -5*g. Suppose -4*q = -22 + 10. Suppose -17 = -5*l + q*n, 3*l + 2*n + n = -9. What is the remainder when l is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(95) - 2*sqrt(95)) + sqrt(95)) - -5*-1*sqrt(95))*-1)\/((sqrt(5) + 2*sqrt(180) - sqrt(10)\/(sqrt(2)*-2))*3).\nAnswer: 10*sqrt(19)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -263*d - 7. Let r(b) = 746*b + 20. Let n(y) = 6*r(y) + 17*x(y). Let q be (-1)\/((-2)\/(-6))*(-6 - -5). Let c(g) = 6*g + 1. What is q*n(u) - 2*c(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from openb. What is prob of sequence nbep?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2. Let a be (-1 - 1) + (-4 - -14) - -5. Let o(k) be the second derivative of 0*k**2 + 0 - a*k + 1\/6*k**4 + 0*k**3. Give f(o(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100500 and 127375.\nAnswer: 102409500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*n**3*t**3 + n**3*t**2 + 26*n**3*t - 4*n**2*t**2 - 177341*n**2*t + n*t**2 - 6008633*t**3 wrt t.\nAnswer: 90*n**3 - 36051798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 30*n + 1. Let y be 1*-1*(-78)\/(-13). Let b be -1 + -9*-3*(-2)\/y. Suppose a = 7 - b. What is v(a)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 464.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695414?\nAnswer: 2, 283, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18303 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 9.3. Let p = -0.29 - -1.59. Let r = p + t. What is the third smallest value in 3, r, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17667, -35342, -53017?\nAnswer: -70692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17511, 20946, 24381?\n\"Answer: 3435*p + 14076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-735)\/(-42)*42\/5 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 + 330 = -5*y. What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3017*u + 104939 - 25418 = 978*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 125*j**2 + 420*j.\nAnswer: 5*j*(j + 4)*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/8 - 54316*p**2 + 79050789*p\/8 + 39742659\/4 = 0.\nAnswer: -1, 183, 434346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 19*f**3 - 1\/2*f**2 - 46 + 16*f. What is the second derivative of q(h) wrt h?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/74299 and -101\/1146?\nAnswer: 445794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10243 + 10937. Is -2 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/10 + 4)\/((-1)\/5). Let d(m) = m + 2. What is d(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 5*a - 156. Let y(d) = -18*d - 180. Let f be y(-10). Solve 38*m - 42*m + a = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/6996 and ((-14)\/6)\/(56\/189)?\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 18 = 2*s, -s + 18 = -5*s + z. Let h be (-1)\/(-2) + (-11)\/14. What is the closest to h in 4, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 231*s + 972.\nAnswer: -3*(s - 81)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*(-180)\/(-120).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1361908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 - -264. Calculate the highest common factor of z and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let i(t) = 2*t. Suppose -17 = -4*n - 5. Let b(v) = n*d(v) + 4*i(v). Let g(y) = 6*y**2 + 2*y**2 - 4*y**2 + 2*y**2. What is b(g(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/15))\/(v\/((v*v**6)\/v*v)))**32 assuming v is positive.\nAnswer: v**(3392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1129, 2, 12.\nAnswer: 2, 12, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 2*h**2 + h + 2. Let x be k(-2). Suppose x = 4*y - y - 3. Let c be ((-4)\/8)\/((-3)\/12). Solve c*m + y + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, f: 2, s: 2, k: 4}. What is prob of sequence gs?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 19*d - 118. Let q be m(6). Let o(k) = -357*k + 150. What are the prime factors of o(q)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 58 - l**4 + l**3 - 45 + 2*l**2 + 0*l**3 as g*l**3 + r*l**2 + v*l**4 + n + j*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3 - (128\/(-3) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 2, c: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*p + 144, -2*p + a + 97 - 1 = 0. Calculate the common denominator of -55\/42 and -4 + (-15)\/45 + 73\/p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 200674909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/3 - 474860*g**3\/3 - 17567150*g**2\/3 - 5380860*g + 11394864 = 0. What is g?\nAnswer: -237393, -36, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2. Let j be y(1). Let s(c) = 7*c + j*c - 5*c. Let l = 30 + -14. Let m(r) = -r. What is l*m(z) + 3*s(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/7)*(y\/(y\/(y*y**(-1\/7))))\/y*(y**(-2\/5)\/y)**1)\/((y\/y**(2\/5))**(-43)\/((y*y**(2\/3))\/y)**(1\/19)) assuming y is positive.\nAnswer: y**(7249\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49132, 49127, 49114, 49087, 49040, 48967?\nAnswer: 48862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 105.103. Let v = t + 2.897. Let x be ((-24)\/45)\/((-4)\/10). What is the fourth biggest value in 5, v, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147579 - -147583. Factor -9\/2 - 1\/4*y**2 + 7\/4*y**3 - 27\/4*y - 1\/4*y**h.\nAnswer: -(y - 6)*(y - 3)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 1, j: 2, m: 6, d: 2, n: 4}. Give prob of sequence dnjd.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {q: 1, w: 1, z: 1, f: 2, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:37 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330285)\/(-2134) - 155)\/((-10)\/144).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 60*c. Let r = -3861\/2 - -1931. Let s(d) be the first derivative of 0*d + r*d**2 - 37. Calculate f(s(o)).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 482 = 119*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((4 - 7)\/9 - 0). Solve -4*z - 16 = u*b - 0*z, 3*b - 2*z = -10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 3. Let r = t - 0. What is the nearest to -2\/3 in -0.1, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -956717777 and -3.\nAnswer: 2870153331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 3*i. Let s(k) = k. Let o(q) = -3*q. Let n be (5 - 55\/10) + (-26)\/(-4). Let t(r) = n*o(r) + 17*s(r). What is -g(c) + 3*t(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q - 0*q - 4*y, -y - 12 = -3*q. Let o(m) = q*m + 8*m - 2*m. Let a(b) be the first derivative of b**3\/3 + 1. Determine a(o(p)).\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 4. Let g(a) be the third derivative of -1\/180*a**6 + 0*a**3 + 0*a + 0 + 0*a**4 + 1\/90*a**d + a**2. Factor g(f).\nAnswer: -2*f**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s**2 - s)*(-4*s + s**3 + 4*s) + 17*s**5 - 2286*s + 2284*s - 68*s**5.\nAnswer: -49*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54199.18*-2.\nAnswer: 108398.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-16) + 0 + 0. Suppose 0 = -i*g + 5*g - 3. Suppose -2*h = 0, -g*t - 2*h + 3*h + 279 = 0. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3832 and -3840 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227260 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17496 divided by -4\nAnswer: -4374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 12?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 28779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 + 465626?\nAnswer: 465584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -1, 0 = -2*d - 4*c + 36. Let n = 37 - d. Let t = 17 - n. Let g(p) = -p + 3. Determine g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 8*r**5\/5 - 4*r**4 + 3*r**3 - r**2 + 262*r + 2. Factor l(i).\nAnswer: 2*(i - 1)*(4*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52662.5763 rounded to zero dps?\nAnswer: -52663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from iqpqpqqspqqhq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0\/2)\/(-1). Suppose l*m - 14 = m - 2*n, 4*n = -m + 10. Let p be (-3 - (-3182)\/m)*300. Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1090.2 and 484.\nAnswer: 527656.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*(r\/r**(6\/11))\/r)\/r*r))\/r**8)**(-5\/12) assuming r is positive.\nAnswer: r**(205\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2278455 or 2278378?\nAnswer: 2278455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 11*z**7\/21 + 19*z**6\/30 + 571*z**4\/2 - 7*z - 204. What is the third derivative of v(h) wrt h?\nAnswer: 1320*h**2 + 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-4))\/(2\/8). Let u be ((-2)\/6)\/(q\/(-45)). What is the third derivative of 2*h**2 - h**3 + 6*h**3 - 2*h**u wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 184?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -10. Suppose 17 + 7 = 6*y. Let c be (2 - y)*(-5)\/20*q. Solve -4*u + c*u - 3 = -g, u + 3*g - 17 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 362*t - 2*t**3 + t**2 + 526*t - 164*t.\nAnswer: -2*t**3 + t**2 + 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:51 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 5575*d**6\/24 - d**5\/60 - d**4\/24 + d**3\/3 - 14*d**2. Let u be o(-2). What is u rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 15. Let z be 2\/(-4) + 21\/h. Let d be (-1)\/1*-1 - 2. Is z at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 + 1.7. Let s = 1.2 + i. Which is the third biggest value? (a) 3\/4 (b) s (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3841 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, n: 2}. Give prob of picking 1 q and 1 e.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by (-18)\/12*(-6280)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5 = -u - 16, -33 = 2*b + 5*u. Let j = -8.96 + 9. Let w = j + 0.26. What is the smallest value in w, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/12*(-8)\/(-6). Suppose -o*x - 92 = -4*d, x + 28 + 98 = 5*d. Let p be 28\/7 + 7*5. What is the highest common factor of p and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-30))\/(-4*3\/18)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267411?\nAnswer: 3, 89137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1659*g + 1666*g - 49. Solve -5*n - 2 = -2*m - g, 2*m + 2*n = -12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*w - 4)*(27*w**2 + 94*w**3 - 92*w**3 - 24*w**2).\nAnswer: -4*w**4 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by 747.\nAnswer: -476\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225, 357, 833, 1827, 3513, 6065, 9657, 14463?\n\"Answer: 29*l**3 - 2*l**2 - 65*l + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -44767*b - 358118. What is s(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i + 69 + 77 + 9*i**2 - 149 - 2*i**2 + i**3. Let y = -8 - -2. What is b(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d - 8. Let x(q) = -11*q - 7. Let v(y) = -3*r(y) + 4*x(y). Let m be v(-2). Solve -4*w + m = -7*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006324779377 rounded to 7 decimal places?\nAnswer: -0.0063248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 + 123*i**3 + 525*i**2 + 669*i + 270 = 0. What is i?\nAnswer: -2, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (49 + (0 - 24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1709 in descending order.\nAnswer: 1709, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1001312 divided by 2.\nAnswer: -500656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/211118196 and 169\/28842?\nAnswer: 2322300156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5)\/(15\/(-21)) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -415*n + 399*n. Calculate the remainder when 330 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21439 times -4279.2\nAnswer: -91741768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-1376)\/(-3870))\/((-2)\/18*2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 493828307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4693390 and -33\/7505.\nAnswer: 89174410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -20. Let t be (159\/2)\/((-5)\/(-30)). Suppose -49*p + 58*p = t. What is the remainder when p is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 433002 = 34346. Suppose -u = -11*t + 284672. Round t to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36115910, 36115923, 36115936, 36115949, 36115962?\nAnswer: 36115975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*y + 494*y - 1835*y.\nAnswer: -1826*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(3\/7)*x*x)*x**(-1\/3)*(x*x**11)\/(x*x*x\/(x*x**(2\/23))) assuming x is positive.\nAnswer: x**(3952\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h + 1530. What is the greatest common factor of h and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/11 + 1708*n\/11 - 364658\/11 = 0. What is n?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49991 + -26472. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2942568177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3296767)\/73103 + (-8)\/(-82)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 242569063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6870 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(425)*1 + 3)*1 + 0)**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (3*sqrt(144) + sqrt(144)))\/sqrt(4) - sqrt(36))\/sqrt(12))**2 + ((sqrt(27)*2)\/sqrt(9) - sqrt(15)\/(-2*sqrt(5))).\nAnswer: 5*sqrt(3)\/2 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 18769 - 17743. Let u = 256 + 0. Calculate the remainder when u is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13771467, 27542935, 41314403, 55085871, 68857339?\n\"Answer: 13771468*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -49. Let x(i) = i - 151. Determine 11*g(d) - 4*x(d).\nAnswer: -4*d + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -9 + 8)\/((-5)\/(30\/207)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183463500 rounded to the nearest 100000?\nAnswer: 183500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -13. Suppose 9*s - 25 = k. Suppose -5*d = o - 308, -2*d - 580 = o - s*o. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) - 34\/(-9). Differentiate 205 - 42 - 29*f - 101 - f**c wrt f.\nAnswer: -4*f**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 3. Let g(i) = -2*i - 10. Let k(v) = g(v) + 3*z(v). Let l(x) = 0 + 51*x - 4 - 28*x - 17*x. Calculate 5*k(r) - l(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2322 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + -9.465982117747.\nAnswer: -10.065982117747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6511, 11937, 17365, 22795, 28227, 33661, 39097?\n\"Answer: b**2 + 5423*b + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7 and -125\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10529 + -16679. Let p be h*18\/81*-21. Round p to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 8*m**2 + 8*m - 2. Let x be z(7). Suppose x*b - 4 = 2*c - 0*c, 5*c + 10 = 0. Solve -2*g - 4*s + 4 = 12, b = g + 3*s + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -25. Let b(o) be the first derivative of 1\/4*o**4 + r*o**3 - 1 - 9*o + 1\/2*o**2. What is b(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 122, 264, 464, 722?\n\"Answer: 29*s**2 - 3*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9574 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -385665 and -2313995\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 14*u - 34. What is the hundreds digit of c(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 403*w**2 - 805*w**2 + 240*w**4 + 396*w**2 - 5894 wrt w.\nAnswer: 960*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -84, -57, 8, 123?\n\"Answer: 2*w**3 + w**2 - 16*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93024687520 - -278.\nAnswer: -93024687242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m + 59*m**2 - 205*m**2 + 64*m**2 + 22*m**2 + 61*m**2.\nAnswer: m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-4*n + n + n) + 7 - 7 - 7*n)*(-3*n + 0*n + 2*n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 2. Let a(c) = -79*c**2 - 5*c - 25. Let b(z) = 240*z**2 + 16*z + 80. Let q(s) = 16*a(s) + 5*b(s). What is q(h(y))?\nAnswer: -256*y**2 - 512*y - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100110 + -1100?\nAnswer: 110110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3435216 and 629547.\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -318d2?\nAnswer: 318d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123405.8112ns in weeks?\nAnswer: 0.000000000204044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 834805 + 834805.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -36724.02?\nAnswer: -36724.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/(-328)*(-2)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4181598 divided by 734?\nAnswer: -5697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let d = k + 1. Is (-19)\/(0 - d - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -59 - -29 - ((8 - 6) + 8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4 = a, 15*s = 3*a + 17*s - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 21629*g**3 - 3*g**2 - 5*g - 5. Let v be q(-3). What is v rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854183012?\nAnswer: 2, 41, 5208433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeseeees.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46733449*a**3*l*u + 15340*a**3*u + a**3 - 41*a**2*u + a**2 - a*u - 3 wrt l?\nAnswer: 46733449*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19732290 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-4)*(-20)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12273 is divided by 613.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -5 + 14 + 5 + -6 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 14219*h - 29064*h + 13816*h.\nAnswer: -1029*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -99. Let a be 7 + -5 + l + 2\/(-2). What is the units digit of (-2 - -1) + (234 - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -58\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12)*609)\/(63\/18).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237124.95911 less than -4?\nAnswer: -237128.95911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382 - -382.2. What is the closest to -3\/10 in -5, l, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 99 = b. Suppose -4*u + b = 21. Suppose -336 = -9*l + u*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -12*p**2 - 4391536*p - 1463844 = 0?\nAnswer: -365961, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n. Let v(r) = 39*r**4 - 3*r**2 - 42*r + 1. Let l(b) = v(b) - 3*x(b). What is the second derivative of l(j) wrt j?\nAnswer: 468*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f - 3. Let g be 2\/8 - 18\/8. Let l = f - g. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -971 - -295. Let l = f + 674. Sort 0, l, 5, -1\/8.\nAnswer: l, -1\/8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1.7098, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**2 + 10*k**2 - 8*k**2)*(-3 + 5 + 0)*(1 - 1 + 2).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - (-3 - 3 - -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 + -250.07. Let n = a + 0.07. Is n greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 + 4*n**2 - n**2 + (7 - 7 - 5*n**2)*(-2 + 0 + 4) + 4*n + 4*n**2 - 4*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 198 + 42 = 0. Let w = -12 + z. 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: Let p be (-394)\/104*1044\/42. Let s = p + 1318\/13. Calculate the common denominator of 43\/2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 171*t**3 - 24. Let q(a) = -34*a**3 + 5. What is 24*q(b) + 5*z(b)?\nAnswer: 39*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -859, -1295, -1749, -2227?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u + 32. Let x be u\/18 - 54\/243. Let v = -0.11 - -1.11. What is the closest to v in -0.1, -6, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -16432 - 6356. Suppose -z = 5*h + 101. Which is smaller: -401 or h?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*s = -42624, -101*m - 3*s = -99*m - 28406. What are the prime factors of m?\nAnswer: 2, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7007883 and 16559.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -65. Suppose 5*k + 4*u = 23, 0*u = 3*k - u - 7. Suppose -h - k = -2*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, y: 1, m: 1, c: 3, w: 1}. Give prob of sequence ch.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37101, 74147, 111193?\nAnswer: 148239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0455*2\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3785*u**3 - 3759*u**3 + u**2 - u**2.\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -301, -677, -1203?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*y**2 + 2720*y + 300 = 0 for y.\nAnswer: -6, -10\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12) + (-417)\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 p when four letters picked without replacement from {e: 3, y: 1, g: 1, n: 1, f: 3, p: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*s*t**2 + 594*s*t + 3*t**2 - 6287*t + 2 with respect to s.\nAnswer: -10*t**2 + 594*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*b**2 + 15*b + 83*b**2 - 273*b**2 + 97*b**2.\nAnswer: 4*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -46. Suppose a + 35 = 5*d + i*a, 16 = 4*d - 2*a. Suppose 2*f = 3*n + 25, 0*f - f + 16 = -d*n. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31192.4432 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46 + 8225?\nAnswer: 81df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -2.0987 (c) 10 (d) 4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c = -49*c + 56. What is the closest to -18 in 5, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvb. What is prob of sequence vvb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwj when three letters picked without replacement from jjepjjwejejeejr?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*i - 9 = i, 4*x = -4*i. Suppose -3*b - x + 15 = 0. Let n = b + -4. Solve -4 + n = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3348 plus -5?\nAnswer: -5.3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 0.288.\nAnswer: 8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**4 + 16*m**3 + 26*m**2 + 20*m + 7. Let u(c) = 16*c**3 + 26*c**2 + 19*c + 6. Let o(t) = -4*u(t) + 3*w(t). Determine x so that o(x) = 0.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 1. Let b(f) be the third derivative of 1\/12*f**5 - 1\/40*f**6 + 5\/6*f**3 - 1\/24*f**4 + 0*f + 0 - 17*f**2. What is b(s) + 5*k(s)?\nAnswer: -3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from grrgibg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/24)\/(5\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1036)\/770 - 14\/(-231)*9. Suppose -h = 1 + 1. Let o be 4\/(-94) + 0\/h. Which is the third smallest value? (a) 5\/6 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:00 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44569164 and 444.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/15 + 3\/((-9)\/(-112)). Let f = l - 32. Suppose f = 4*s - 5*h + 7, -4*s - 3*h = -21. Solve s*w - 3 = -d - 0*d, w - 4*d + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.464 and -3810353.\nAnswer: -3810369.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 28*m = w - 11771, 0 = -2*w + 5*m + 23541. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 14 = -21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(3\/3 + 2). Let o = 1.22 + -1.42. Put o, h, -1\/2, -0.1 in ascending order.\nAnswer: h, -1\/2, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - q = -0*w - 44, -2*w + 5*q - 22 = 0. Let i = 205 - w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178233413.\nAnswer: 178233413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let z(j) = 12842902*j. Determine z(c(n)).\nAnswer: 12842902*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32121 + -32121. Solve -1\/3*b**5 - b**2 + r + b**4 - 1\/3*b**3 + 2\/3*b = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-17) - (-1 + 2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11314?\nAnswer: 2, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2\/(-12))\/(((-712)\/606)\/(-89))\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 5*s**3\/2 + 33*s**2\/2 + 77*s\/2 + 20.\nAnswer: -(s - 5)*(s + 1)**2*(s + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + 0.08. Let b = -96343 - -96343. What is the second biggest value in b, -71, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:41 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p + 19*p - 12*p + 104 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*l + 5*x, -2*x + 6 = l + x. Suppose -9*p + l*p = 12. Suppose -4*t + w = -0*w - 6, 4 = -p*t - 4*w. Solve 5 + t = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*r + 5*s, -5*r + 2*s = -2*s - 20. Let o(k) = -k**2 + k - 6. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 + t + 4. Let x(b) = 14*b**2 + 3*b + 11. Suppose -8*o = -6*o - 16. What is o*v(n) - 3*x(n)?\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974110685 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 - 240*n**3 - 3832*n**2 - 6960*n - 3364 = 0. Calculate n.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13663606.\nAnswer: 2, 11, 167, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1868 and 6?\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -752, -702, -652, -602, -552?\n\"Answer: 50*z - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4807030.\nAnswer: 2, 5, 269, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 1225*v - 4*v**3 + 1223*v)*(-2*v + 4*v - 3*v).\nAnswer: v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k + 2*k - 4 - 2*k - k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 111502*a**4 + 2*a**2 + 5*a - 111501*a**4 - 2*a**3 + 1 as p*a**3 + o*a**4 + u + r*a + s*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12523*k**5 - 9*k**3 + 1768*k**2 - k?\nAnswer: -751380*k**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001251 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from mmammammmm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p - p - p + 0*p + (-3*p + 0*p + 2*p)*(3 + 2 - 4) - p + 2 - 2)*(0*p + p + p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - h - 1842. Let s be v(0). Let r = s - -2813. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213023301 - 102?\nAnswer: 213023133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*s - 21 = -106*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 - 1704 + 571 + 562 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8377*k + 8378*k - 2*c, 120 = 6*k - c for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 14*c**2 + 14*c + 9. Give u(12).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130, 556, 1280, 2302, 3622, 5240, 7156?\n\"Answer: 149*s**2 - 21*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7062, -7057, -7052, -7047, -7042, -7037?\nAnswer: -7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a53b11 (base 16) to base 8\nAnswer: -51235421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/8, -6\/11, 1, 16\/9, 5 in decreasing order.\nAnswer: 5, 16\/9, 1, 1\/8, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135628427*s**2 + 31291802 wrt s?\nAnswer: 271256854*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1420 in -0.2, 5, 2\/9, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -0.1085, 0.4 in decreasing order.\nAnswer: 164, 0.4, -0.1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*u + 24, 12*g - 6*u = -2*u - 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3517 divided by 2001.\nAnswer: 3517\/2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 67. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 10. Suppose -1 = 5*f - 4*n, 2*f - 4*f + i = n. Which is the closest to -0.2? (a) f (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -262*q + 132*q + 132*q - 4*p - 6, -2*p = 2*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 25 + 69 = -32. Solve -3*z = -5*v + 7, -16*v + 20*v + c*z + 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 348 = 5*y, 0*n = -3*n - y + 496. Let a = 251 - n. Let c = 89 - a. Solve 3*o = c*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000797093 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(5*(-1)\/(-10)). Find the first derivative of 3*r + c*r + 10*r - 24 wrt r.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/260)\/(6\/5)*(-6)\/(-22)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15972 is divided by 65?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4 + u + 5*u**2 + 0*u + 0*u. Let n(b) = 14*b**2 + 4*b - 11. Suppose -5*o - 172 = 5*f - 187, -2*o = -5*f + 50. Determine f*g(a) - 3*n(a).\nAnswer: -2*a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - 1244?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2003 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366236, -732619, -1099002, -1465385, -1831768?\nAnswer: -2198151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1596 divided by 38.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 10, t: 3, g: 4}. Give prob of sequence bn.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 at least -305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/30 - (-18914)\/11580 - 182\/(-12)*-3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + (sqrt(2057)*2*-6 - sqrt(2057)))*-4 - 2*(5 + -2*sqrt(2057) + -4))*-4)**2.\nAnswer: 118272*sqrt(17) + 103212608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (16 - (12 - (18 + -20)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149941898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiiiiiiaii. What is prob of picking 4 i?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5612647997794 + -8.\nAnswer: 5612647997786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 4*q - 6. Let m be i(4). Let w = m + 8. Calculate the remainder when 32 is divided by (-7 - -18)*w\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(1344) - sqrt(1344))\/(sqrt(12) - (sqrt(1452) - 1*sqrt(1452))) + -4.\nAnswer: -52*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 794681816.00000118 - 794681799. Let d = 17 - o. Round d to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -176*v**2 + 3*v - v + 180*v**2 - 5 + v**3. Calculate t(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let y(x) = 13*x + 1. Calculate 3*n(w) - y(w).\nAnswer: -16*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/96 of a hour?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(2380\/(-21))\/10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -8)\/(8834\/29026)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23 + 9)\/(-2 - 0). Let w = n + -5. Let q(c) be the third derivative of c**4\/4 - c**3\/2 - c**2. Calculate q(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let h(v) = -6*v - 6379 - 13*v + 6318. Let m(f) = -9*f - 33. Let w(j) = 6*h(j) - 11*m(j). Calculate w(g(a)).\nAnswer: 30*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255424.\nAnswer: 2, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10 = 4*c, 3*y = -3*c - 12 + 6. Calculate the remainder when 35 - (c + -4) - 0 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 614 (base 10) to base 11\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7188.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/5)\/(-2))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 55*g**2 + 103*g + 481. List the prime factors of c(-53).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/42 and 73\/24312?\nAnswer: 170184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1414397973 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -53?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/58 - (4\/(-5) + 209\/(-95)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - v + 7*v - 31 - 9*v - 2*v.\nAnswer: -5*v - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 299303452 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4049*v + 121468. Determine u(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkkkikgiiikik. Give prob of picking 2 k and 1 i.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2752686 divided by 214.\nAnswer: 1376343\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 2*b**2 + 3*b + 6. Let p(d) = -d**3 + d + 1. Suppose -390 + 540 = -25*q. Give q*p(t) + f(t).\nAnswer: t**3 + 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/8))\/j)\/(j*j\/((j*j**(2\/9))\/j)))\/((j*j\/j**1*j*j)\/j*j*j**22) assuming j is positive.\nAnswer: j**(-1937\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1501 + 3007 + 595*v - 1506 to the form l*v + z and give l.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0*v**2 - 3 - 11*v**2 + 2*v**2 as g + u*v**2 + z*v and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.816026 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22269, 22267, 22265, 22263, 22261?\n\"Answer: -2*q + 22271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:00 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5\/18)\/((-420)\/3276)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)*y**(-5)*(y**(-1\/14)\/y)\/(y\/(y*y*y**1)) assuming y is positive.\nAnswer: y**(-93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -5 (b) 2\/3 (c) 0.4 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -9 + -10 + (5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 47 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 24296.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1912*m**2 - 1906*m**2 - 32*m + 1 + 3816*m**2 to o*m + p*m**2 + i and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362063303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 8. Let b = 0 - c. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 + 15. Let y(g) = -g**2 + 2. Let f(o) = -2*v(o) + 15*y(o). Let u = -7 - -8. Let p(r) = 1 + r**2 - u. What is f(p(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5272121\/21 - 251050. Let o = 873709\/6204 - 20734\/141. Let z = -1\/33 + o. Calculate the common denominator of z and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5508 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -30. Let y = 3.01 - 0.01. What is the closest to d in y, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctcttttttctcicttct. What is prob of picking 4 t?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-4*j + 4*j + 2*j) + 2 - 2 - j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 871 = 5*h, -h + 7 = 12. Let i = 485 - p. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q - 6. Let f be 39\/12*-2*(-1 - 1). Suppose -c - 3*g = -16, 14 = -2*c - 3*g + 43. Let t = c - f. Give i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25806)\/19481 - (-2)\/11. Let h = -0.38 + 0.08. Which is the nearest to 0.1? (a) -1\/6 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 15) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 33405?\nAnswer: -33412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 2*g, -t + 10 - 17 = 2*g. Solve -16 = -4*y + 2*a, 3*y + 14 = -10*a + t*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*u + 70, 3*h - 42 = -0*h - 2*u. Let r = h - 9. Suppose -k = 2*q - 9, 0 = 4*q + r*k - 3 - 18. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0753899 litres in millilitres?\nAnswer: 75.3899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0*h + 7 = -2*h - 5*w, 0 = h - 2*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x, p + 21*x - 23*x = 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-77) + (-8628)\/7909\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 - 663*q**4 - 3906*q**3 - 7764*q**2 - 5160*q = 0. Calculate q.\nAnswer: -215, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -76\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 19, -0.2, 4, -8, 3\/13?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**3 + 10*o - 27*o**3 - 10*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhay when four letters picked without replacement from jmayhdhdj.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5294648*t - 2. Let d(s) = -4*s**2. Give c(d(p)).\nAnswer: -21178592*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*(r*r**4*r)\/r*r*r*(r*r**1*r)**45*(((r*(r*r\/r**0)\/r)\/r)\/r*r)**(-21\/5)\/(r*r**2)**(-39) assuming r is positive.\nAnswer: r**(1254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 3*o + 2*c, -15814*c + 69 = -3*o - 15812*c for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149610 by 5.\nAnswer: -29922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p*u**3 - p*u**2 - 11*u**6 + 89*u**2 wrt u?\nAnswer: 6*p - 1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 29*k = -32*k - 21, 4*k + 15 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*f + 15, -441*h + f = -438*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 2*k, 2*a - 16 = -5*k - 2. Solve 0 = -t - t - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -69. Suppose -l = g - 479, -5*l - 3*g + 0*g + 2389 = 0. Let i = l - 228. Calculate the greatest common divisor of k and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, a: 11}. Give prob of picking 3 q.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*w + 185*w - 10321 = -4165 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hov when three letters picked without replacement from {g: 4, o: 1, v: 8, a: 1, h: 4, i: 2}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + w = -4*w + 34, -4*s + 5*w = 37 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rck. What is prob of picking 1 c and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -8 - (0 + -3) - (-1 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*s - 16 = 0, -4*f + 0*s - 4*s - 16 = 0. Solve -11*j + 6*j + 20 = f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*f - 10*f. Is 17 a factor of (14 - 15)\/(-1*f) - -203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 1. Let p(v) = 2*v - 2. Let z(t) = -4*p(t) - 6*y(t). Let i(c) = 9*c + 4. Give 3*i(j) - 7*z(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*r - 417*r + 19065 = 141*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 - 4*q**2 - 2\/3*q**3 + 1\/6*q**4 - 18*q. What is the tens digit of k(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12971, 11701, 9585, 6623?\n\"Answer: -423*o**2 - o + 13395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 6, q: 7, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 - 189*s**2 + 2596*s - 3032. Differentiate f(l) with respect to l.\nAnswer: -2*l - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3745*v**3 - 1263*v**3 - 2490*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 - 10*g + 3. Suppose 4*y + 10 = -c, 19*c - 18*c - 17 = 5*y. Calculate b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.97065172 + -0.97064622. Let x = 0.1 - -23.9. Let j = x - r. Round j to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5256, 5011, 4604, 4035, 3304?\n\"Answer: -81*r**2 - 2*r + 5339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec - -5?\nAnswer: -e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(2\/17)\/t)\/t*t))\/(t*t**12*t*t))\/((t*t**(-5))\/((t*t**0)\/t)) assuming t is positive.\nAnswer: t**(-155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 400\/30 + 2\/3 - 1. Suppose 0 = -s*w + 18*w - 835. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.94 + -0.06. Let b = -2163 - -2162.8. Put b, u, 2 in decreasing order.\nAnswer: 2, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6137 greater than -6681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 89*p - 7713358 = 18848359. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 3 - d**3 + 0 + 4*d**2 + 2*d**2. Let k be t(7). What is the remainder when 3 is divided by 1 - (5\/(-1) + k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-30))\/((-4)\/96*-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/7 in 1\/4, -4, 1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15197\/354 - 257\/6. Find the common denominator of x and -2\/5.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(56\/(-14))*4\/(-9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 565.9204 - 532.920505. Let b = 214 + -181. Let l = p - b. Round l to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*z - 1090 = -317*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b5a (base 12) in base 10?\nAnswer: 77686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(1\/(24\/16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**3 - 4*j**3 + 4*j**3)*(-5 + 6 + 3) - 3*j**3 + 0*j**3 - j**2 + j**3 to l*j**3 + h*j**2 + i*j + y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 8*w + 52. Calculate the remainder when 37 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 377*q + 287 wrt q?\nAnswer: 377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(392) - sqrt(8)) + 3)**2 + sqrt(252) + 0 + 4.\nAnswer: 475\/36 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 + 1550*l**3\/3 + 7882*l**2\/3 + 1598*l - 4740 = 0. Calculate l.\nAnswer: -3, 1, 790\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -243535*c**4 + 207620 wrt c?\nAnswer: -974140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*q**3 - 31*q**3 - 34*q**3 + 8*q**4 - 2 + 4*q**2 - 214*q - 32*q**3 wrt q?\nAnswer: 96*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:32 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4606 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmoiaymo. What is prob of picking 1 a and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 33388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/210)\/(10\/200*-6)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 582825 and 14315.\nAnswer: 4079775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11034 and 27?\nAnswer: 33102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 419247596094352 and 3?\nAnswer: 419247596094349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/264 and -67\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1\/15*y**5 + 1\/3*y**3 + 3*y**2 + 0*y - 2\/15*y**6 + 0 + 1\/3*y**4 + 1\/42*y**8 + 1\/105*y**7. Determine r, given that x(r) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 45, 10, -2, -3, 0 in ascending order.\nAnswer: -3, -2, 0, 3, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53348 minus 8844210?\nAnswer: -8897558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxw when three letters picked without replacement from qqkxkxwkkkqxpkwxkkkq?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -z + 39, -9 + 6 = 3*z. Solve 0 = 31*p - 23*p + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2288.041 - -2287. Let r = s + 0.041. What is the second biggest value in 1\/6, r, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 + 2*p**2 - 5. Let v(u) = -3*u**3 - u**2 + 3. Suppose 7*b - w - 4 = 9*b, 5*w - 10 = 0. What is b*t(x) - 5*v(x)?\nAnswer: -6*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 11*a + 11. Let k(w) = 12*w**2 + 32*w + 33. Let y(j) = -11*d(j) + 4*k(j). List the prime factors of y(-9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.094, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*r - 210 = 130*r. Let w(s) be the third derivative of s**4\/24 - 3*s**3\/2 + 2*s**2. Calculate w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139902*d**2*q**2 + 145*d**2 - 2*d*q**2 - 3931*d*q wrt q?\nAnswer: -279804*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/5 - 712*v\/5 = 0.\nAnswer: 0, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163 + (-34 - -37 - 89).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 + 12*l - 9. Let i = -20 + 31. Let m be f(i). Factor -m*n + n + 0*n - n**2 - 1 - n.\nAnswer: -(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*d - 206 - 45 - 300 = 0. Let m = 1.2 - 0.4. Let r = 1.8 - m. Which is the nearest to d? (a) 0.7 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195746 and 970.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.024018 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -6 + -4 - (28 - (28 + -13) - -119)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76929*s**3 + 6*s**2 - 6*s + 126.\nAnswer: -461574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in -9\/134, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3695, -3708, -3721, -3734, -3747, -3760?\nAnswer: -3773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 117 + 45 = 0. Let h be (-31)\/(1 - j\/(-24)). What is h rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-96))\/((-30)\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -2 - 4\/(-2). Suppose r - 4 = -0*r. Suppose 2*m + 6*m**y - 2*m**2 + 0*m**3 - 4*m**2 - 2*m**r = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let c(g) = g - 6. Let m be c(13). Let j(o) = 0*o + m*o - 3*o - o. Give j(v(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:24 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 4 + 6 + 37. Let q = i - 37. Which is smaller: 13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37574.72 nanograms in grams?\nAnswer: 0.00003757472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 558*o**4 + 516*o**3 + 7290*o**2 - 13911*o + 6660 = 0.\nAnswer: -4, 1, 3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 75. Let u be o(-10). Suppose -m - 667 = -5*z + m, -u*m + 261 = 2*z. What are the prime factors of z?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**3*z**2 - 69*q**3*z - 18*q**3 + q**2*z**2 - 2*q**2 + 6130*q wrt q.\nAnswer: -6*z**2 - 414*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346103?\nAnswer: 17, 20359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/4)*w**(-16)*(w*w\/w**(-9\/4)*w)\/w*w*w*w**6*w assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 189*r - 8\/3*r**3 + 0*r**2 - 13\/3*r**4 - 3\/5*r**5 + 0. Solve i(x) = 0 for x.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 23*i**2 - 232*i - 230. Give u(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 66 = -8*a. Let s(d) = -7*d - 17. Is 60 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12621*t + 12591*t + 510 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*t + 9*t + 51*t + 7*t.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-15))\/((-1)\/6). Let y = 13 + c. Let a(q) = q**2 - 6*q + 6. Let j be a(y). Is 1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2050 - -34874\/17. Let t = 284\/153 - c. What is the common denominator of 73\/4 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 o when four letters picked without replacement from {n: 4, w: 5, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -869 - 4?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3998659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*s - 3*w, 26 = 2*s + 4*w - 0. Suppose -2*h - i + 10 = s, -2*h + 2*i - 8 = 0. What is the units digit of (3\/9)\/(h\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.4 - -43.705. Let c = r - 0.305. Is c at most 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3893 divide 139829120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.02 (c) -2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1989416, -3978836, -5968258, -7957682?\nAnswer: -9947108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - d - 11 = 0, 27502*a + 4*d + 62 = 27500*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 17679*m + 17603. What is w(-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.609 - -70.391. Let x = -16573.14592 - -16502.15. Let n = x + b. Round n to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41792 - 41803. Suppose 0 = s - 3*r + 1 + 16, -s - 15 = -2*r. Is s at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 - (0 + -1). Let v(c) be the second derivative of c**4\/12 + c**3\/2 - 5*c**2\/2 + c. Let b be v(-5). Solve 0 = -n + h + b, w*n + 3*h + 0*h = 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 2*j)*(3 - 1 - 4) + 1 - 4 + 6 + 3*j.\nAnswer: 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113839, 113813, 113747, 113623, 113423, 113129, 112723, 112187?\nAnswer: 111503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.9 (b) 0 (c) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(5\/25*2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o**2. Suppose 3*p - 3*j - 24 = 0, 3*p - 4*j - 20 = p. Let s(q) = q**3 + q**2. Calculate p*v(m) - 5*s(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04454 (b) -0.5 (c) 1 (d) -1\/9 (e) 3 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010212 (base 3) in base 10?\nAnswer: 2291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/(-4 - (-18 + 1)). Which is the second biggest value? (a) 0 (b) -3\/5 (c) k (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 2*o. Suppose 0 = 5*s + 25, o = -3*v - s - 2. What is the second derivative of g**4 + 3*g + v*g + 2*g**4 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*p - 906*p + 10458 = -0*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431\/381 + -59\/127. Let f = -403\/4191 - -2\/381. What is the third biggest value in -1\/4, b, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874021792?\nAnswer: 2, 3, 29937727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 8*h - 7. What is a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 674109, 1348217, 2022325, 2696433, 3370541, 4044649?\n\"Answer: 674108*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365538339?\nAnswer: 3, 131, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11 - 23 = 3*r - 48, 16*n + 23*n - 3*r = 12*n - 132 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 25 + 17 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -0.2. Let r = 0.3 - 1.3. Let l = 1 + r. Which is the closest to l? (a) -4 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 25*y + 19*y - 4 = 5*k - 0, 0 = y - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184, -1140, -1054, -914, -708?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**17*(c*c**23)\/c*(c\/c**(-2\/15))\/c*(c*c**(1\/21)\/c)\/c)**8 assuming c is positive.\nAnswer: c**(32912\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 - 17*m - 34. Give z(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227 + -456?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 1 + 0 - 3 + (2 + 0 - 3)*(-4*g + 5*g - 3*g) + 22*g - 117 + 117.\nAnswer: 28*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 11*g + 6. Give p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1573*v**4 - v**3 + 3*v**3 - 2*v**3 + 2331 - 55*v**4 wrt v.\nAnswer: 6072*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 46656.\nAnswer: 233280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -21. Let w = -885 - -884.7. Which is the fourth biggest value? (a) 1\/3 (b) w (c) u (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 + l**2 - 2*l - 3. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**4 + 3*s**3 - 372*s**2 - 1092*s - 720 = 0.\nAnswer: -10, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 86*c + 691. Let y be v(-9). Let o be 1 - -1 - (-10)\/(-2). What is the third smallest value in o, -1.56, y?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/15 - 37*v**5\/10 - 19*v**4\/3 - 1918*v - 3. Solve n(a) = 0.\nAnswer: -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:58 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*g - 41263 - 39375. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 2*k + 245 = 0. Let p = k + -24. Suppose 0 = 6*r - 1 - p. Solve -j - r = v, -5 = -4*j - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, a: 5, h: 1, t: 1, n: 2}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 2229270428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-15) - (-3 + 102\/30). Let g(l) = l**z + 564 - 564. Let x(s) = -39*s**2. Give x(g(o)).\nAnswer: -39*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26520, -53042, -79570, -106110, -132668, -159250, -185862?\n\"Answer: -g**3 + 3*g**2 - 26524*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - f - 561 = 0, 0 = -5*u - 5*f + 720. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45981407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:22 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*4*6)\/(sqrt(8) + -6*(-4*sqrt(8) - sqrt(8))).\nAnswer: 24*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13023 + 314?\nAnswer: 13342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(720) + (sqrt(720) - sqrt(720)*-1) - sqrt(720)) + sqrt(720))**2 + -4 + 4)*-6.\nAnswer: -38934 - 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**4\/4 + 53*g**3\/2 + 345*g**2\/4 + 74*g - 21 = 0 for g.\nAnswer: -7, -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 43*i - 493. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/2 - 55*j**4 + 1341*j**3 - 7394*j**2 + 21965*j\/2 - 4875 = 0.\nAnswer: 1, 5, 25, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + -5*(2 + sqrt(637))**2))*4.\nAnswer: 560*sqrt(13) + 12820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.5558692s to weeks.\nAnswer: 0.000217519625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) -4\/3 (c) -24 (d) -6\/7 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 28\/15*p**3 + 104*p + 0*p**2 + 1\/75*p**6 - 4\/5*p**4 + 3\/50*p**5. Factor l(n).\nAnswer: 2*n*(n - 2)**2*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -378, -1010, -2138, -4014, -6890, -11018, -16650, -24038?\n\"Answer: -42*s**3 + 4*s**2 - 350*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 16019.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + 25*p + 11. Let u be l(-4). Is 25 a factor of 13110\/u + 2 - (-7)\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*z**3 - 17*a**2*z**2 + 339*a*z**5 + 2*a*z**2 - 2*z wrt z?\nAnswer: 12*a**2 + 20340*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -80.931, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j - 299235 = 68*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -800*y**2 + 293*y + 12. Determine z(-2).\nAnswer: -3774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*p**6 - 47268*p**4*q**3 + 131999*p**2*q**3 - 63*p*q**3 wrt p?\nAnswer: 1920*p**3 - 1134432*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003368 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210405105523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200111220212 (base 3) to base 6.\nAnswer: 11451122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 581 and 1106?\nAnswer: 91798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 128 + -129 + (1 - 3) + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 29 + 11. Let n be 45\/(-18)*(-4)\/i. Let h be (18 - 20)*(2 - n)*7. Put -4, 1, 0, h in increasing order.\nAnswer: h, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**2 - c - 35*c - 864244 + 2*c + 864277)*(-3*c + 2*c + 2*c).\nAnswer: 12*c**3 - 34*c**2 + 33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7536 and 31872?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (9274\/(-10))\/(-17 - 1344\/(-80)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*c - 3430, 4*a + 58*c - 62*c - 2760 = 0. Solve -673*l + a*l = -120 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17531 - 1026*n - 17531 in the form h*n + k and give h.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u. Let b = 29 - 20. Suppose 4 = b*w - 5*w. Let d(j) = -8*j**2 + 2*j + 6. Let r(a) = w*d(a) - 10*z(a). Factor r(o).\nAnswer: 2*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g - 27*g - 13*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 5 + 17 + -19. Factor 300 - c*t - 300 - 3*t**2.\nAnswer: -3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 126. Let t = v + -39. Which is the closest to 0? (a) 2\/5 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 + 7*h + 6. Let g be 11\/((-66)\/(-12)) + -3*2. Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-288))\/((-6)\/332) - (59 - 50)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -577 + 4?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 40 = -8*t. Suppose -3*k - k = 0. Suppose k = 2*o - 7*o + 10. What is the smallest common multiple of o and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/13 + 6*z**3\/13 - 2*z**2\/13 - 6*z\/13.\nAnswer: 2*z*(z - 1)*(z + 1)*(z + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -47*s. Let h(m) = -45*m**2. Determine h(u(l)).\nAnswer: -99405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4110232 - 103?\nAnswer: -4110340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 17170102*v\/5 - 73703100672601\/5.\nAnswer: -(v + 8585051)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/8 - 62523003*y**2\/8 + 325760585795985*y\/8 - 977281194681009\/8 = 0 for y.\nAnswer: 3, 10420499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 110 = 5*m + z, -42 = -m + z. Calculate the remainder when 333 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 + 9*r**2 + 22*r**2 - 41*r**2 + 274 + 15*r**2.\nAnswer: 5*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 3*g + 2*g)*(3 - 6 - 1)*(3*g - 2*g + 0*g) to z + v*g + h*g**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28466 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 divided by -115?\nAnswer: -536\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1, 149, 4 in decreasing order.\nAnswer: 149, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 3, c: 17}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14629956 divided by 1644?\nAnswer: 8899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4 and -31\/9280.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8, -0.05 in descending order.\nAnswer: 8, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 - 10*s**2 - 10*s + 1. Calculate the remainder when 1*(3 + -3 + 22) is divided by j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 935 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**7\/7560 - k**6\/108 - 5*k**5\/18 - k**4 - 32*k**2. Let h(r) be the second derivative of y(r). Suppose h(i) = 0. What is i?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93331872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 2*i + 2. Let h(q) = q**2 + 4*q - 2*q - 1075 + 1073. Determine 5*h(j) + 4*o(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 29*p - 29*p + (-2*p + 3*p - 4*p)*(-2*p**2 - 3*p**2 + 3*p**2) + p**3 - 2*p**3 + 3*p**3)*(-p + 6*p - 2*p)*(10 + 6 - 3).\nAnswer: 117*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 5. Suppose -q*m + 79 = 19. Let l = m + -9. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*o**2 + 20*o + 0*o - 60*o**2 + o**3 + 3 - 9 to p + l*o**2 + r*o + t*o**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from {f: 4, j: 2, w: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1857, -4, 5, -299, 0.1 in descending order.\nAnswer: 5, 0.1, -4, -299, -1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3634 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 891415386 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/12 + 4*r**3\/3 - 3*r**2. Let f be b(0). What is the units digit of (-6)\/f*(-24)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 - 3*a + 12. Let n be t(5). Let f = 373 - n. Which is bigger: f or 1\/40?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/7)*s\/((s**(-1\/4)\/s)\/s))\/((s*s**(1\/9)\/s)\/s**(-5\/2))*(s*s**0\/s*s)**(3\/23)*(s**(-1))**2 assuming s is positive.\nAnswer: s**(-3821\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166 from -67326974123.\nAnswer: -67326973957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 26088196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59198 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: Does 3562 divide 47909634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 10*v = 525. What is the remainder when 110 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309.\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 59\/34, -3\/4, 5\/8, -2\/19 in decreasing order.\nAnswer: 59\/34, 5\/8, -2\/19, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 3\/(-12) + 2\/8. Suppose a - z = -6. What are the prime factors of 922\/(-21)*-3 - a\/7?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3638975*d**3 - d**2 - 119*d + 8306 wrt d.\nAnswer: 21833850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/((-3)\/45). Suppose 0 = 4*b + 4*z - 12, b - 5*z + 2 = -1. Let s be ((-15)\/(-2))\/((-9)\/30*-5). Sort b, y, s in descending order.\nAnswer: s, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -254, -381, -506?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131093331 divided by 37.\nAnswer: -3543063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*i = 12, -4*z + 14 = 14*i - 16*i. Solve 4*a - 19 = 5*f, 7 - 16 = z*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5059376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12460543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - 14.6. Let p = 10.5 + t. Let k = 6 + p. Which is the third biggest value? (a) k (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 22. Let t be u(25). Suppose -3*n = 2*z - 229, 0*z - t*z = -n - 371. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9999836 + -4. Round h to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -34 - (-3 + 3 + -2). Let w be t\/48*6\/10. Which is the closest to w? (a) -0.2 (b) 1 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(3150\/12)*-15?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333144990 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21459 and 3657?\nAnswer: 1137327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 14*b**2 + 9*b - 3. What is the tens digit of j(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197*220\/1451890 + 7707\/(-67)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0*t**3 + 0*t**3)*(65 + 68 + 21619*t - 21607*t).\nAnswer: -24*t**4 - 266*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 - (-20)\/(-5). Let y be (-2 + -1 + 0)*a. Solve 2*t - 7 = -3*b, y = 5*b + 5*t - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.57, -1.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 129*l - 353 = 355. Solve c - 10 = -2*s, l - 11 = -s + 5*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 2*r + 8, r = -4*i - 9. Let t be (9\/i)\/3*4\/(-3). Let l(y) = 0*y**2 + 8*y**2 - 4*y**t. Let u(q) = -3*q**2. Determine u(l(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53307406.\nAnswer: 2, 599, 44497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981188.7 centuries to months.\nAnswer: 1177426440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 95*u + 5*z + 15 = 42*u, 3*z + 19 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 26, -4, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 5, 131, 439, 1007, 1913?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -2)*(-3 + -54).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/110*18\/27\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b - 4. What is the units digit of u(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2581*a**5 - 1547*a**2.\nAnswer: 154860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5808 - 6*m - 5808.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*c - 30, -4*f - 4*c = -4 - 8. Is 15840\/21 - 2\/f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 3049725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 84*k**2. Let c(m) = m**2. Determine o(c(n)).\nAnswer: 84*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 524, 550, 592, 656, 748?\n\"Answer: j**3 + 2*j**2 + 13*j + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {w: 13, i: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as -510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, m: 2}. What is prob of sequence mk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/5)\/(-3))\/((-2)\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/5)\/3)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 17. Suppose -w + 4 = -i. What is the highest common divisor of w and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-40))\/((-4)\/104). Let i = c - -1931\/490. Let o = i + 39\/245. Is o not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17 - -18 - 4) + (75863 + -2)\/3.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -74. Suppose -2*w + g*z = -7*w - 6125, 20 = -4*z. Let b = w + 21865\/18. What is the common denominator of b and -53\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-2\/5)\/w*w)*(w\/((w*w**7)\/w))\/w*w**(-4\/9)*w*w\/w**9 assuming w is positive.\nAnswer: w**(-587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 6, a + 5*n - 16 = 0. Let w be (a - -4)*(-2)\/(-10). Which is smaller: w or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04 * 4.43\nAnswer: -4.6072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17. Let d be (2 + s + -5)\/(-1). Suppose f - r = 0, -5*r + d = -4*f + 2. Which is smaller: f or 14\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*g**3*n**3 - 3*g**3 + g + 61335*n**5 - 2518586*n**2 wrt n.\nAnswer: -162*g**3 + 3680100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2371*q + 2 - 1274*q - 1182*q to the form p*q + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 47*z**2 + 91*z + 55. Let p be c(-45). Solve 16 = 14*n - p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - (-2*sqrt(495)*2 - sqrt(495)))\/(sqrt(77)\/(sqrt(35)\/sqrt(5))))\/(sqrt(360)\/(-2*sqrt(10)) + sqrt(36) + -2*sqrt(144)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218768, 218765, 218760, 218753, 218744?\nAnswer: 218733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3*u*x**2 + 1785*c**3*u*x - 3*c**3*x + 118*c**2*u + 25526*c*u*x**2 wrt x.\nAnswer: 8*c**3*u + 51052*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 16. Let d = -2915.9 - -2916. What is the closest to d in 15, -5, b, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from tztptjwzpp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34639627 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u - 1. Let v be g(-2). Suppose -2*m - 5 = 1. Let k = m + 1. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 11*l**2 + 3 + 3*l**3 - 6*l**3. Let m be t(-11). Solve 4*s - 3*s + 6 = 3*w, m*s + w = 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 391.6571 millennia?\nAnswer: 39165.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36792)\/708 - -10) + (-50)\/1475.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (10 - (-2 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 12 = -4*b, 2*r + b + b = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17840 + -11934. What are the prime factors of a?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r - 4. Suppose -u - 3*i + 2*i = -1, -3*u + 3*i = 21. What is the remainder when o(u) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 5 - 5)*(-49 + 17 - 69) to the form x + i*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10131 and 385899.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/(3\/(-45)). Suppose -4*d = -y - 3. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -137.9?\nAnswer: 275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 93a?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 10. What is the first derivative of 0*v**x - 44 - 31*v**2 + 5 - v wrt v?\nAnswer: -62*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18.3. Let a = -4151.7 + 4149. What is the fourth biggest value in -0.1, o, 2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h + 5. Determine j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2156)*-1 + (sqrt(2156) + (sqrt(2156)*2 - sqrt(2156)) + sqrt(2156))*-5)\/(-5*sqrt(12)\/sqrt(3)*-6*-6))**2.\nAnswer: 539\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*6 + 1*sqrt(468) + sqrt(26)\/(sqrt(12)\/(1*sqrt(6))) + 4)**2.\nAnswer: 200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6942 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169.788 + -0.212. Let w = u + 169.99999528. Round w to seven decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150500 and 500?\nAnswer: 150500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-32))\/(((-9)\/(-48))\/((-1224)\/(-544)))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 2, b: 6, x: 2, w: 1}. What is prob of picking 1 x, 1 v, and 2 b?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 22743.5?\nAnswer: -22743.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/6 - p**5\/4 - 5*p**4\/4 + 5*p**3\/6 + 5*p**2 + 44*p + 2. Find k, given that h(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 330300?\nAnswer: 331001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-5*5*4)\/(-1*(sqrt(7) + sqrt(35)\/sqrt(5))*5).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/330 and 169\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1676895171 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 4:14 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*s + 512 = 502, -2*s - 10 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2 and -49\/2230328.\nAnswer: 2230328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 + 139. List the prime factors of 524\/7 + (-17)\/c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*q + 24 - 4, -5*q - 4*v - 6 = 0. Suppose 2*u - 595 = -f, -q*f = 2*u + f - 593. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**5 + 2970390*f**4 + 2970385*f**3 = 0.\nAnswer: -594077, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = z + 11, 38*z + 17 = 4*t + 37*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-81))\/((-49)\/42). Which is the fourth smallest value? (a) 5 (b) n (c) 0.7 (d) 2\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*t**5 - 52*t**3*u + 5*t*u - 217*t + 1 wrt t.\nAnswer: -1320*t**3 - 312*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/11 (b) 0.5 (c) -236 (d) -2\/13 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 - 7*v + 6. Let z be g(-6). Let n be (z\/(-16))\/(6\/16). Suppose 6 = 2*x - n. What is the remainder when 23 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 149 (d) -70 (e) 0.1 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*o + 5024 = -165*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1273.17 + 1256. Let l = b + 17. Let i = 4.83 - l. What is the nearest to 1 in 0.4, i, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**2 + 570*c - 16245 = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**2 - 38*c + 6. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -9 + 1\/150*z**6 + 1\/15*z**3 - z - 1\/60*z**4 - 3\/100*z**5 + 1\/210*z**7 + 0*z**2. What is x in p(x) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462171.\nAnswer: 1462171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4*y + 6. Let o be g(3). Suppose -o*f = -3*m + 3, 3*m - 4*f - 1 = -0*f. Let 5*k**3 - 5*k**3 - 2*k**m - 4*k**4 + 2*k**2 = 0. Calculate k.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4739\/2 or 2370?\nAnswer: 4739\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/13*35672\/(-1176).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001609 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -29*w. Suppose 63 = 2*a + 7*a. Let q(g) = 10*g**2 + 4*g - 4. Let j(s) = -18*s**2 - 7*s + 7. Let k(t) = a*q(t) + 4*j(t). Determine k(b(v)).\nAnswer: -1682*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((48\/(-56))\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 357, 788, 1401, 2202?\n\"Answer: n**3 + 82*n**2 + 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 3db21?\nAnswer: -3db23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -0.14. Let j = r + 0.12. Let c = j - 0.17. Put -0.2, c, -16 in increasing order.\nAnswer: -16, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 30 = x. Suppose -g - 4*p + 4 = -3*g, -5*g - 2*p = x. Let w be -5 + 3 + g + 0. Which is the closest to 1? (a) -3 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203231 (base 4) in base 6?\nAnswer: -45313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 + 2 = 0. Let o = k + 21. Let u be 4 + (-4)\/6 + (-12)\/(-18). Solve -u*z - o = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158940*o - 10 + 158951*o + 10 - 476844*o + 158956*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358625991 to the nearest integer?\nAnswer: 18937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46146375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/673211 or 0?\nAnswer: -1\/673211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 - 4 - (0 - 7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 1. Let x be l(3). Is 2 a factor of ((-4)\/6)\/(x\/105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 + 2*l - 5. Let j be o(4). Let f = j - 1. Suppose -f*q + 68 = -0*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/15 and -23\/87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824122019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441*j**2 + 27*j + 424*j**2 - 3560*j**5 - 30*j - 4 wrt j.\nAnswer: -213600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 341, 2, -4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, j: 4, r: 3}. What is prob of picking 1 r and 2 s?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/2 + 6. Let o be (-17)\/(2 - 7\/4). Does 7 divide o\/i*12\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(325)*-5 + (sqrt(325) + 5 + (sqrt(325) - sqrt(325)*-2))**2)*2.\nAnswer: 300*sqrt(13) + 10450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((2*sqrt(171) - sqrt(171) - sqrt(171))*3)\/sqrt(9))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/75 + 18\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218244359?\nAnswer: 47, 4643497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 2*q - 8*q + (-4 + 1 + 4)*(0 + 0 - 1)*(q + 3*q - 3*q) in the form p + x*q and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**1*c)\/c)\/c)**(-1\/49)*((c**4*c)\/c)\/((((c*c**(-4))\/c)\/c)\/c*c))\/((c**(-1)*c*c**(-2))\/(c**1)**(-2\/23)) assuming c is positive.\nAnswer: c**(12276\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 8*s**3\/3 - 132. Let b(w) = -2*w**2. Determine b(d(r)).\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.181311 millennia in years?\nAnswer: 3181.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/5)*m*m*m**(-8\/7))**(-2\/91))**22 assuming m is positive.\nAnswer: m**(-88\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -118.577 and 3.3?\nAnswer: 121.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148875)\/(-2850) - 52)\/(3\/2*1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**6\/12 + z**5\/4 + 5*z**4\/24 - 11*z. Let w(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 + 2*y**5 - 11*y**5 + (-y**4 + 2*y**4 - 2*y**4)*(0*y + 4*y - 3*y).\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53590310?\nAnswer: 2, 5, 193, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 = 128*v - 660 - 4641. Let b = 70 - 44. Calculate the remainder when v is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67568 by -4223.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)*k\/(((k*(k*(k*k*k**(-1\/3)*k)\/k*k)\/k)\/k)\/k)*k*k**4\/(k*k**0)*(k**(2\/3)\/k**(1\/9))\/(k**(4\/7)*k\/k**(2\/5)*k) assuming k is positive.\nAnswer: k**(586\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -5*(sqrt(84) - 5*sqrt(84)))\/(sqrt(12) - (sqrt(144)*-2)\/sqrt(12)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7843258?\nAnswer: 2, 53, 61, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 874451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1\/3 (b) -29\/10 (c) 0.4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 109529887 = -1074770113. Round z to the nearest one million.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cimi when four letters picked without replacement from iwiimcicwcwi?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -13. Suppose m + 5*k = 51, -3*m - t*k = -118 - 25. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 16*f**2 - 18*f - 16. Let r be w(-17). What is the tens digit of (3 - 2)\/(-4*r\/(-64))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30062448 by -3816.\nAnswer: 7878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 4*t - 4*t)*(-2 + 0 - 1).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -45081.9*1.3\nAnswer: -58606.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 154 + 160 - 308 - 3*q.\nAnswer: -3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 - 17)*(9\/(-2) - -3). Solve -q + 3 = k, -14 = -t*q - 0*k + 2*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416*a = 1020*a + 1158696. Calculate the remainder when a is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.25695 + -0.05695. Sort d, 9, -0.15 in decreasing order.\nAnswer: 9, d, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-4)\/352*12\/(-8).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7739*k**2*x + 4*k*x - 700*k wrt k?\nAnswer: -15478*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24379 is divided by 11656.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.289 (b) 0 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x. Let m(f) = -7*f. Calculate i(m(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-227)\/14 - 2\/7. Let p = -41 - -58. Let i = o + p. What is the second biggest value in 0.1, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -27. Differentiate 9*i**3 - 3*i**3 + 0*i**3 - 12 - m wrt i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 282776552 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41782 bigger than 2298038\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3248, -4859, -9194, -17615, -31484, -52163, -81014?\nAnswer: -119399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 1. Give j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (4*sqrt(480) - sqrt(480)) - sqrt(480))\/sqrt(360))**2 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 30.26 (c) 1\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/28*(-28)\/8. Let i = 3 + 7. What is the greatest common factor of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*h = -90 + 125, 32*h = 5*j - 224 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5173 + 3812?\nAnswer: 10085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = c - 4*z + 3, 2*c - 4*z = 1300. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 3. Let c be v(11). Let o = c + -80. Suppose -o*y + 2*d + 345 = -3*d, 275 = 4*y - 3*d. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60866758, 60866762, 60866768, 60866776, 60866786, 60866798, 60866812?\nAnswer: 60866828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let k be 11 + (-15 - (-364)\/77). Is k < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, c: 3, q: 1, y: 1, p: 1}. What is prob of picking 1 c, 1 j, and 1 q?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10247?\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Find the second derivative of 58*h + 3*h**c - 51*h + h**4 wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.391 + -0.311. Let r = b - 0.079696. What is r rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5684, 11353, 17006, 22637, 28240, 33809?\nAnswer: 39338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 0, -3*c - 2*c + 4*a + 16 = 0. Let r be (0 - c) + 0 + 3. Suppose 10 - r = p. 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 91 divided by -30433?\nAnswer: -7\/2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 51*f + 141. Let q be o(28). Let a(b) be the first derivative of -2*b - 1\/3*b**2 + 1\/6*b**4 + 2\/3*b**3 - q. Factor a(h).\nAnswer: 2*(h - 1)*(h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/15 + 2\/10. Let v be (1 + -3)\/2 + 0. Is s greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2*(0 + sqrt(117))**2)*-5 - -4*(-4 + (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*-2))**2))*-2.\nAnswer: -3244 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2051 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 8056\/(-76) + 50?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 13*r - 1746. Let y(g) = -14*g**2 + 37*g - 5236. Calculate 17*t(b) - 6*y(b).\nAnswer: -b**2 - b + 1734","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(243))**2 + (sqrt(54)\/sqrt(3))\/sqrt(6) + 5 + -4*(-1 + sqrt(3)) - -5*(5*sqrt(300)*3*5)**2.\nAnswer: -3*sqrt(3) + 8437701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:30 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -50*a**2 + 7*a + 2. Let o(g) = -51*g**2 + 6*g + 2. Calculate -6*o(c) + 5*q(c).\nAnswer: 56*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 147, 2 in descending order.\nAnswer: 147, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10789438 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 + 236*z**3 + 3808*z**2 + 9408*z = 0.\nAnswer: -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-7))\/(129675\/(-18473) + 7).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793070, -793079, -793096, -793121, -793154, -793195?\nAnswer: -793244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 26*t**2 - 64*t - 110. Determine g(-28).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22803.49 micrograms in grams?\nAnswer: 0.02280349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -11002002?\nAnswer: 11001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 173270179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**12*z*z))\/z*z*z*z)\/((z*z*z\/((z\/(z*(z\/(z*z*(z\/z**(-1\/13))\/z*z))\/z))\/z))\/z))\/(z**(1\/8)\/z*z)**(14\/5))**(3\/10) assuming z is positive.\nAnswer: z**(-9573\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h + 2*h**2 + 5*h**2 - 3*h**2 wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 34, -2\/11, -5.7, 72, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(84\/30)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/(-52) + 15\/4. Let c be (-1)\/(1\/(-4)*3\/r). Suppose -3*j + 49 + 130 = -5*f, j - c*f = 69. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - l + 12, 4 = -4*j + 9*j - 4*l. Suppose j*i - 547 = 1577. List the prime factors of i.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 57*o**2 - 18*o + 134. What is r(-19)?\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 2*t + 52. Let r be q(-6). Let p(f) = f + 11. Let c be p(r). Solve 2*m - c = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:58 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1133358 + 2517358. What is b rounded to the nearest ten thousand?\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - s - 10*s - 3*s + 3*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(8) + sqrt(2) + (sqrt(2) - 5*(sqrt(2) + -2)**2) - sqrt(18)\/(sqrt(144)*1)*6.\nAnswer: -33 + 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 1.2, 0.3, 0?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*u - f, -3*f - 2*f = -2*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 10*o + 4. Suppose 33 - 3 = 3*a. Let f be s(a). Suppose -4*d + 4*g = 43 + 65, f*g + 48 = -2*d. What is d rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*f - 4899 = -1876*f - 19845 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m - 0. Suppose m*z - 36 = 5*g, 4*z + 0*z = -5*g + 42. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1617, 6413, 14391, 25551, 39893, 57417?\n\"Answer: 1591*n**2 + 23*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 1853*c**2 - 4170*c - 9686. What is a(-461)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.192 + 6242963.\nAnswer: 6242963.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10 and 109\/354.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))\/(t*t**(1\/35)))\/(t*t**(-18\/11))**1 assuming t is positive.\nAnswer: t**(83\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 85190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*x**4 + 11064*x**3 + x**2 + 54634*x?\nAnswer: 264*x + 66384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 23*d**2 + 4*d + 3. Let m(b) = b**3 + 24*b**2 + 5*b + 4. Suppose -9*n = 38863 - 38899. What is n*w(r) - 3*m(r)?\nAnswer: r**3 + 20*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 830*x**4 - 22405*x**3 + 122380*x**2 + 962820*x - 4582800 = 0 for x.\nAnswer: -6, 4, 15, 19, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4175, -8354, -12533, -16712, -20891, -25070?\n\"Answer: -4179*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*h - 3, 3 + 4 = 5*r + 3*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h + (-6 + 5 + 3)*(-25 + 25 + 15*h))*(-2 + 2 - 17*h**3).\nAnswer: -544*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -14602, -4 in increasing order.\nAnswer: -14602, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o + 8. Calculate s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317492 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13483324243.1 plus -8?\nAnswer: -13483324251.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -2. Let l = 14 + o. Let g = 4 - l. What is the third biggest value in 0.4, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*b + 422*b - 175*b - 69*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 559 - 124 = 4*m, 5*m - 545 = a. Is 109 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((6 - 6) + (0 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 14 = -17*p + 5*v, 0 = v + 4. Suppose 0 = -3*g - 2*g - 2*a + 404, 0 = 3*g + p*a - 240. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(((-518)\/4)\/(-37))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49\/40 - -13\/8. What is the fourth smallest value in -2\/3, o, 2, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -224679 > -674036\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -52. Let k be -3 + (o + -5)\/(-4). Solve 4*r + 28 = 2*f, -k*r + 5*f + 7 - 42 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -33.7.\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450864 is divided by 272316?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 3 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 36. Let b(q) = -3*q**2 - 90. Let a(g) = -2*b(g) - 5*t(g). Determine x so that a(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = -4*v. Sort 25, v, -2 in increasing order.\nAnswer: -2, v, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -7 - (64 - 68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**4 + 12*h**3 + 264*h**2 + 279*h + 42. Let a(o) = -o**4 - 2*o**3 - 53*o**2 - 56*o - 8. Let d(n) = 21*a(n) + 4*l(n). Factor d(j).\nAnswer: 3*j*(j - 4)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 270*1 + -16 + 12. Suppose 2*z = -4*d + 4*z + t, -2*z = d - 54. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 143, 4729\/59 in ascending order.\nAnswer: -0.4, 4729\/59, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 + 9, 2*r + 5*w - 35 = 0. Calculate the remainder when ((-202)\/(-6))\/(r + 28\/(-6)) is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62847 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60523.5 centuries to decades.\nAnswer: 605235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 + 11*i + 12. Let u be p(-8). Let y = -144 - u. Let m = y - 22. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -11, -2, -4 in ascending order.\nAnswer: -11, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 140020 (base 5) in base 6?\nAnswer: 42031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + r**2 - 2*r + 2. Let w(m) = 38*m**3 - 60*m**2 + 288*m - 388. Let j(d) = 18*f(d) + w(d). Factor j(v).\nAnswer: 2*(v - 11)*(v - 8)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 29624?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and -242088641847.\nAnswer: -242088641846.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v + 1. Let o(f) = 6*f. Let s(n) = 2*n. Let l(r) = 3*o(r) - 10*s(r). Calculate l(i(h)).\nAnswer: 40*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 536, 1, 278, -4 in decreasing order.\nAnswer: 536, 278, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37059000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8867112.\nAnswer: 2, 3, 53, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6786 + 61?\nAnswer: -6725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - 17*u - 17. Let s(v) = -3*v**2 - 9*v - 8. Let b(d) = 2*f(d) - 5*s(d). Factor b(p).\nAnswer: (p + 3)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118341*a**4 - 3*a**2 - 364*a - 5 wrt a?\nAnswer: 2840184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 931 = -5*g, 3*b + 3*g - 222 - 2607 = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:11 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d, 5*s - 55535 = -10*d + 3*d. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371619269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300050 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1020121 by 15.\nAnswer: -1020121\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/2)\/c*c))\/c)\/((c\/(c\/(c**(-5)\/c*c)))\/c)*(c\/(c**1\/c)*c)\/c**(-4\/7))\/((c\/(c\/((c\/((c**3\/c)\/c))\/c)))\/c**(-7))**31 assuming c is positive.\nAnswer: c**(-2491\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*s**3 + 2*s - 2*s + 0*s.\nAnswer: 99*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 2*a - 2. Let o be k(-3). Let h = o - -7. Solve h*n + 7 = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.846489654 minus -0.25?\nAnswer: 1.096489654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*c = 2*a + 4, -4*a = 2*c - 10. Suppose 0 = -2*f - 0*f - 4*o + 20, 30 = 3*f + a*o. Let n(t) = f + 2*t**3 - 1 - 3*t**3 - t. Give n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 10) in base 9?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 9*t - 4. Let g be v(8). Suppose -14 = -9*i + g. Calculate the lowest common multiple of 56 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 13*s - 7. Let r be n(-11). Let l be 3 + -1 + 190\/15*-3. Let p be (-3)\/5*40\/l*r. Solve 0*x + p = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1862)\/152 - (-2)\/8. Let q = -27 - y. Let g(f) = -3*f**2 - 2. Let b(w) = 21*w**2 + 15. Give q*g(t) - 2*b(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8071 = 463*h - 21961 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:02 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 17918\nAnswer: -29\/17918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let h = -1174 + 1187. Suppose h = -595*z + 582*z. Put z, -8, p in descending order.\nAnswer: p, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**4*v)\/v)\/(v\/v**(-7)))**(-9\/10) assuming v is positive.\nAnswer: v**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 0.012.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589364109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/2, 25481, 28?\nAnswer: 25481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30031 is divided by 10006.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -710, -1369, -2028, -2687, -3346, -4005?\n\"Answer: -659*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*f + 286, h + 2*f + 1132 = -3*h. What is the units digit of 2\/10 - h\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*p - 0*f + 36, 2*p - 5*f = 26. Let q be -3 + 6\/2 + -10. What is the remainder when p is divided by (2\/(-4))\/(q\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460041 (base 7) in base 15?\nAnswer: 192e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9 + 3971\/(-11))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.4. Suppose 5*x + k - 239 = -266, -2*x - 5*k - 43 = 0. What is the nearest to -0.1 in 4\/7, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -56. Let p(a) = 4*a**2 + 1. Let r be p(1). Solve c*l = -l + r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 + 6*m + 3. Let t be w(-3). Suppose -5*x = -4*x - t*x. Suppose 0 = 10*d - x*d. Is d > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*r + 727 = 109 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-3)*(-5 + 11). Solve -j*m + 5 = -21*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 843.4 + -843.62085. Round h to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 - f**2 + f. Let a be u(1). Suppose o = -0*o + a*c + 9, 2*o - 2*c = 26. Solve 7*l + o = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -16.7\nAnswer: 1753.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -h + 3131, 2*o - 4*h + 1255 = -h. What is the hundreds digit of o\/(-5) + 4 - (-1)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**8*k)\/((k\/(k\/((k**(-2\/13)*k)\/k)))\/k*k) assuming k is positive.\nAnswer: k**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -107244 times -18.7?\nAnswer: 2005462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 1\/9*j**3 - 126 + 2\/3*j**2 + j. Solve a(r) = 0 for r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/36*(-1026)\/(-15). Find the first derivative of n + 283*w**4 + 237*w**4 - 220*w**4 wrt w.\nAnswer: 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41230 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:21 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 13140 - 4416*d + 49*d**2 + 147*d**3 + 142*d**3 + 328*d**2 - 290*d**3 = 0. Calculate d.\nAnswer: 6, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1184)\/5032*268*306\/(-144).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*x - 348 = 0, -2*p + 7*p = 2*x + 435. What is the highest common factor of 87 and p?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -711 - -409. Let i = -158 - b. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**2 + r**2 - 2 + 0*r**2 + 0*r**2 to the form m*r + u*r**2 + i and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 - 1 - (31 - 27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.022 - -2.952. Let m = x + 0.07. Let s = -4.09 - -0.09. What is the closest to -1 in m, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 7. Let m be v(-7). Suppose m*g - 40 = -5*g. Calculate the remainder when 15 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 3*c + 3 + 2 - c**2. Let v be d(4). Suppose -a + 6*a + 100 = v*x, 0 = 4*x + 5*a - 116. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -273703509*b - 345560295 wrt b.\nAnswer: -273703509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(2\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 27 - 3 = 0. Suppose -2*d + 2*m - 12 = 5*m, -2*d - g = 2*m. List the prime factors of 89 - ((-3 - d) + -4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -5, 59, 2\/7, -2.85?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/(-12*(-3)\/(-84))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(0 + 6\/(-21)). Let t be -3*(g\/6 - 2). Suppose 0*u + h = -3*u - 12, 0 = h + 3. Put t, 2, u in decreasing order.\nAnswer: 2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 708682881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 17. Let y = 459 + -509. Let l = k - y. Which is the smallest value? (a) l (b) 1\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -255388\nAnswer: -255388.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = 2*g - 6*g, -3*s = g - 21. Let d(l) = -5*l**3 + 10*l**2 + 8*l + 7. Let b(a) = -a**3 + a**2 + 1. Let m(j) = 4*b(j) - d(j). Give m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 88*n**2 - 17*n - 306. What are the prime factors of u(-9)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 > -9551\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*v**2 - 5395*v**2 + 4263*v - 4263*v + 748*v**2.\nAnswer: -4274*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9)\/(-6))\/1 + 17180\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 47*k**3 - 14*k - 1?\nAnswer: 12*k**2 - 282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 + 5*p - 4. Let g be s(3). Let w(q) = -2*q + 3. Let f be w(-3). Let y = 2 + f. What is the highest common factor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -656 in -0.4, 1\/166, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**31*a**(-2\/23)\/a)\/(a**(13\/2)\/(a\/a**(-1\/15))) assuming a is positive.\nAnswer: a**(-25199\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -665937077 or -665937078?\nAnswer: -665937078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-36) + 3)\/(8\/36)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 1. Let v(z) = -9*z - 2. Let a(g) = -10*r(g) - 4*v(g). Let t(h) = -12*h - 40. Let k be t(-3). What is the least common multiple of a(k) and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 2\/15, 120, 4, -1, 1\/6.\nAnswer: -12\/11, -1, 2\/15, 1\/6, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 329. Let w = v - -3. List the prime factors of w.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {m: 1, h: 1, a: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l + 5*o, -50 = -2*l + 3*o + 3. What is the least common multiple of l and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-646)\/(-19) + (-646)\/38\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 290 = 19*b. Suppose 5*s = -5*n - 23 - 2, 4*n - 2*s = b. Suppose q + 4*f = 1, 4*q + 3*f + 5 - 22 = 0. Put n, -2, q in descending order.\nAnswer: q, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -153. Let t(a) = 13 - 1 - j*a + 17*a. Give t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -910 divided by 2?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 3 - 3 + (3 - 3 - 2*z)*(-1 - 4 + 4)*(-9 + 12 - 29) to the form t*z + j and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 21*w = 4320. Calculate the greatest common factor of w and 3753.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/671 and -65\/1647.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(1\/41)*l**(-4)\/l**(-6) assuming l is positive.\nAnswer: l**(81\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 6.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243149908*g**5 - g**2 - 1066*g + 13497?\nAnswer: -14588994480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - 10842\/(-156))*14.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2219118407 - -675069168. Let c = -1544049316.99999953 - u. Let q = c - -78. What is q rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Let o(a) = -18*a - 75. Let q be o(-9). Suppose 698 = y*s - q. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -56*o - 5. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 - 3*n**3 - 3*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -91074 divided by -57\nAnswer: 30358\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1277155 + 4677155. Suppose 0 = 4*n + f + l, -n + 2*f = 6*f + 850000. What is n rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026799 rounded to five decimal places?\nAnswer: -0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + -210012?\nAnswer: -211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 843512561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6080)\/1984 - ((-7 - -5) + -1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60362.\nAnswer: 2, 30181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (11 + -3) - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3 - 5) + (-7 - 5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2709833, 5419659, 8129481, 10839299?\nAnswer: 13549113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160*w**3 + 27 with respect to w.\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5 + 9*o**2 - 64 + 4*o**2 - 23 - 9*o. What is the tens digit of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 792*t**2 - 86*t - 357. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 + -2 - (sqrt(1872) + -4)*-2) + 4 + -3.\nAnswer: -10 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -63) + (-38 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:45 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 4. Suppose 0 = -2*f + r*f - 4. Is (-201)\/f*6\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 36 = 4*b, 2 + 54 = -4*b - 4*i. Suppose -5*y = -4*y + 8. Let n be 5*y*3\/b. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 15*w + 1 = 12*w + 7*w - 15, -40 = 5*r - 4*w for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140731.\nAnswer: 140731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2 - j + 3. Let r = -12 + 7. Let i be o(r). Let w be 370\/30 - 6\/(-36)*-2. Calculate the greatest common factor of w and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*a*i*j - 499283*a*i + 8538237*a*j + a wrt i.\nAnswer: 88*a*j - 499283*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1073.6 - 1074. Which is the third biggest value? (a) m (b) -1 (c) -19 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 8*t**2 + 3*t**3 - 5 - 3*t**3 - 3*t**3 + t. Let d be y(8). Suppose -d*q + l + 32 = 2*q, 5*q - 4*l = 38. Are 7 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2*k - 16. Let p be 10\/15 + (-7)\/(-3). Suppose 4*z = m + 49, -m + 2*m - 42 = -p*z. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 121 - 68 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 20. Suppose m = -s - 27 + 28. Which is the third biggest value? (a) s (b) -1\/7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73c + -69?\nAnswer: 6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -33*s + 456. Let d be z(14). Let j(f) = f**3 + 7*f**2 + 3*f - 13. Give j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-40) - 0) + 1\/4. What is the biggest value in -4, 4, 5\/6, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540704.\nAnswer: 2, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (-468)\/(-10) - (-8)\/40.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10649, 10603, 10497, 10331, 10105, 9819, 9473?\n\"Answer: -30*r**2 + 44*r + 10635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 136*t - 9834. Calculate k(68).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 486123.\nAnswer: 486130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-6 + (-5 - -14))*2046\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 24*n + 138. Let u be x(-15). Solve u*c = -4*d + 3, 3*d - 7*d - 1 = -c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2. Let x(l) = 8*l**2 + 2*l**2 + l**2. Calculate x(j(w)).\nAnswer: 99*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -251*o. Let a(s) = -13559*s**2 - s + 1. What is r(a(l))?\nAnswer: 3403309*l**2 + 251*l - 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -33934 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24635?\nAnswer: 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/7, -5166, 1, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218 - 98. Let q = -15 + x. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165087724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-22) - (-31)\/((-13640)\/80)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -26 (b) 9 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 5. Let i(k) = -k**2 - 2*k - 4. Calculate 2*g(a) + 3*i(a).\nAnswer: -a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7976 and 125000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 42 = -4*u. Let o be 3\/((-3)\/u*-3). Suppose -2 = -2*y + o. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*q + 6328 - 2698 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwg. What is prob of sequence vg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 5*x + 5. Let l(g) = -10*g**2 - 11*g - 11. Let b(k) = 13*d(k) + 6*l(k). Let t be b(1). Solve -5*z + t*z = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1.7 (b) -2 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 227*n**2 + 0 + 171*n**2 to o*n + t*n**2 + i and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 37 = 2*f, 1236*k = 1231*k + f + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1912634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r**2 - 24840*r - 986480 = 0. What is r?\nAnswer: -4484\/11, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2 + 4*x + 1\/2*x**2. Let z be w(10). Calculate the highest common factor of 42 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -169495559 minus 6964.5?\nAnswer: -169502523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(3\/8)\/(g**0\/g**(-1\/2)))\/((g\/(g*g**0))**(-39)*((g**(-4)\/g)\/g)\/g*g*g*g**(-3\/11)\/g) assuming g is positive.\nAnswer: g**(475\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 416? (a) 3 (b) 2 (c) 7 (d) 34\/15 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 7\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -10. Suppose -10 = -n*b + 80. Let m = -179 + 194. What is the greatest common factor of b and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = 2*w, 5*a + 24 - 41 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 2, z: 3, g: 1}. Give prob of picking 1 q, 1 h, and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 5*d + 3. Let s be t(-3). Suppose -3*b + 4*n - 2*n + s = 0, -3 = -3*b - 2*n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/(m*m**(2\/5)))*m*m**(1\/7)*m*m**(9\/5)*m**(-4\/11) assuming m is positive.\nAnswer: m**(2302\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(120\/(-105))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47828621?\nAnswer: 179, 267199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:47 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9545652\/799 - 11947. Is c > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9238156 is divided by 201?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyttaithythaittht. Give prob of sequence iaat.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-296)\/1998)\/((-28)\/1638)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8, 7*c - 3*c = -3*d + 8462. What are the prime factors of d?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 2*h**3\/3 - 75*h**2\/2 + 28*h. Let s be c(20). Solve s*k = 3*j - 23, -3*k - 11 = -3*j + 4*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1582 and 3404916?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + 217*z**2\/2 - 308*z + 220. What is the derivative of g(b) wrt b?\nAnswer: -3*b**2 + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 546118 + -358118. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15201399 divided by -42.\nAnswer: 5067133\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7550 rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**2 - 8\/3*x**3 + 0 + 0*x - 7\/24*x**4. Differentiate z(p) wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 2. Let j be d(7). Suppose 3*q = -2*q + j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115761215 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15606338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.029 and 81988266.\nAnswer: 81988266.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 32452.\nAnswer: 12980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -45, -111, -213, -357, -549, -795, -1101?\n\"Answer: -k**3 - 9*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245273957 divided by 1.\nAnswer: 245273957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(448)*-2*-2 + sqrt(448) + (-1 + sqrt(448) - sqrt(448))*-6 - (5*(sqrt(448) - sqrt(448)*-2 - sqrt(448)) + -5 + sqrt(448)*-1)))**2.\nAnswer: -960*sqrt(7) + 7393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3885616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 7*v - 4. Let j be f(4). Let l = j - -10. Does 7 divide 98\/42*(l + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974 + 417 - c + 3*c + 557.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 5. Calculate the remainder when 10 is divided by j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 48 = 3*z, 2*c - 4*z + z = 60. Solve 6*v - 9 + c = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413.7408 decades to months.\nAnswer: 49648.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1240, 1244, 1248?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/12 + -17\/12. Let k(x) be the third derivative of -1\/15*x**5 - 1\/120*x**6 - 1\/3*x**3 + 0 - t*x**4 + 5*x**2 + 0*x. Give k(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**3\/3 + 2. Let o(v) = -16*v - 3. Let u be o(-1). Let w(h) = 10*h**2 + u*h**2 + 4*h**2 - 21*h**2. Give w(i(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:25 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -34. Suppose 4*x = 3*m + 110865, 9*x - 7*x = -b*m + 55465. What is x rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-7 - (-25 - -14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-1)\/h*h)*h**(-1\/4))\/((h*h**2)\/(h\/h**(-6))))\/(((h*(h\/h**(-1))\/h)\/h)**(-49))**9 assuming h is positive.\nAnswer: h**(1791\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014315408 rounded to six dps?\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4168\/3 - 1390. What is the fourth smallest value in -3, 1\/2, -0.3, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 17376, 19, 1.\nAnswer: -3, 1, 3, 19, 17376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 564 = p + 2*p, 5*p = -5*v - 570. Let m be (2\/6)\/((-1)\/v). Let k = m - -14. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 565400 and 566839200?\nAnswer: 6235231200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 51*c**3 + 7*c**2 + 7. Let h(k) = 25*k**3 + 4*k**2 + 4. What is 7*h(n) - 4*o(n)?\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 54*d**2 - 11*d**2 - 44*d**2. Let y(p) = -151*p**2 + p - 1. What is y(f(m))?\nAnswer: -151*m**4 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)\/w*w)\/(w\/(w*w**(-3\/8))))\/(w\/w**(2\/7))**(-6) assuming w is positive.\nAnswer: w**(1151\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuus when four letters picked without replacement from {s: 1, k: 4, f: 4, u: 6, t: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 6393*x**2 + 412137*x - 6746355.\nAnswer: 3*(x - 2065)*(x - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(68) + -2)**2*-4 + -3.\nAnswer: -1443 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 j when three letters picked without replacement from {i: 5, j: 3, f: 1, a: 7, l: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*g - 4*g + 8*g + 0*g - 5*g + 3*g + (-2*g + 0 + 0)*(-2 + 3 - 4) + 0*g + 0*g + 2*g)*(-5*g + 0*g + 2*g) in the form y*g**2 + d*g + q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/((18\/12)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.993 rounded to 1 dp?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*5\/(-8055)*6\/(-12).\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 10*g - 11*g - 126, g = 0. Let i be ((-508)\/(-6))\/((-58)\/(-87)). Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s + 379. Let c be j(-16). Let y(x) = 25*x**3 + 5*x**2 - 5*x + 6. Let q(o) = -o**3 - o**2 + o - 1. Determine c*q(h) - y(h).\nAnswer: -20*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round -1057.67068 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 10:00 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 1 + 1)*(7*x - 10*x - 12*x)*(-x - 3*x + 5*x) + (5 - 2 - 2)*(-1 + 2*x + 1)*(x**4 - 4 + 4).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/3138750 and -8\/24375.\nAnswer: 40803750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/29, -651, 80?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031417203 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -21. Let m = -18.8 + w. What is the closest to m in -0.4, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*((t\/(t**(-1\/4)\/t*t))\/t)\/t*t)\/t)\/t**(-2\/15))\/(t\/(t*t*t*t**(-1\/5))*t**(1\/5)) assuming t is positive.\nAnswer: t**(179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41727 + 85585. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*i = 1 + 14, 0 = -4*i - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116553457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 22945*v + 137850.\nAnswer: -5*(v - 6)*(v + 4595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 83?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxcxxx. Give prob of sequence xx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4494, 9024, 13544, 18042, 22506, 26924, 31284?\n\"Answer: -2*l**3 + 7*l**2 + 4523*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 3*s**2 + 2*s**2 + 2 - 4*s + 0*s**2. Let g(r) = r**2 - r. Suppose 8 = -2*a - 0. Give a*g(d) + l(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/54 and 61\/105.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(162))\/(sqrt(36)\/(2*sqrt(6))).\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819148271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 0*l**3 - 2*l**3)*(-2*l + 3*l + l) - 2301 - 24*l**4 - 4*l + 2301.\nAnswer: -26*l**4 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -194. Let f = 95 - p. Calculate the greatest common divisor of f and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 8. Let n = -1 + -3. What is the units digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415 - -690. Let t = p + -267. Solve 8*z - t = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75124750 to the power of 1\/2, to the nearest integer?\nAnswer: 8667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45787*p**2 - 3*p - 9538?\nAnswer: -91574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 0. Let m = -0.15 + 6.15. Let v = m + u. Which is the nearest to 0.1? (a) 1 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1158)\/(-4))\/((-18)\/(-48)). Does 48 divide (-1)\/(4 + u\/(-192))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6*(1 + 1\/(-2)). Let w(m) = -5*m**2 - 5. Let c(r) = -6*r**2 - 5. Determine p*c(z) - 4*w(z).\nAnswer: 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 1637?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 58*x + 228. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258648553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/5))\/(z*z**(2\/5)))**(-4\/11) assuming z is positive.\nAnswer: z**(4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23860308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 1 - 2 + 2*w. Suppose -3*x - 3*y = -2*y + 12, -2*x + 2*y = 0. Calculate d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 67. Let a be (28\/(-8))\/((-2)\/(-4)). Calculate the remainder when f(0) is divided by 3 + a\/(28\/(-80)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 2*u = -6*g + 12, 4*u - 14 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 620252 - 620249. Let o be 26\/22 + (-1 - 0). Let s = -0.38 + -0.02. What is the closest to -0.11 in s, j, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7777295 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 - (-1 - -7) - 2 - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/48)\/((-81)\/12)*-6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074694813 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 4. Let t(o) = 2*o + 5. Let y(c) = -5*a(c) + 4*t(c). Let i(w) = -1. Let f(s) = -12*s + 24. Let m(v) = -f(v) - 24*i(v). Calculate m(y(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 12. Calculate y(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxppffppppfxx. Give prob of picking 2 p.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 27*l**2 + 1 + 0 + 5*l - 20.\nAnswer: 27*l**2 - l - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/4)*j)*j)**(-8))**3\/(j**(-1\/4)\/(j*(j**(2\/13)*j)\/j))**25 assuming j is positive.\nAnswer: j**(265\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d + 2. Let p(c) = 13777*c + 82674. What is the least common multiple of p(-6) and 2 - (2 - (d + 53))?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -66. Solve 6*r = r - n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/5 + ((-188)\/(-5))\/2 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 168*s**2 - 44*s + 88. Let p(i) = 19*i**2 - 5*i + 10. Let o(q) = 5*f(q) - 44*p(q). Let h(r) = -4 - r + 4. What is h(o(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4320*-8*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9713 + -0.0287. Sort -5, -0.03, 4, q.\nAnswer: q, -5, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 8*m - 11. What is q(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 779, 1772, 3167, 4964?\nAnswer: 7163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9 - 8. Let y = 3 + v. Suppose -15 = 3*m - 2*j, 2*m - 1 = 3*j - 16. Which is the closest to y? (a) m (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 4\/23, -2\/5, -29?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*z + 9, 3*z = -2*p + 3*p + 7. Let u(b) = -b + 5. Let t be u(4). What is the units digit of 1\/(t\/15*z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + 6 + -1. Suppose 3*k + 2*w = -u*w + 58, 52 = 3*k + 2*w. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2776.1 - -2792.09. What is the third smallest value in 1, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -6 (c) 5.9 (d) 0 (e) 2\/9 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose 55 - 11 = c*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 4*s**2 + 1\/5*s**5 + 1\/15*s**6 + 0 - 2\/105*s**7 + 0*s**4 + 0*s + 0*s**3. Factor o(c).\nAnswer: -4*c**2*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 64. Let r be c(-18). Let s(q) be the first derivative of q**4\/2 + 3*q**3 + q**2\/2 - 11*q + 7. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 10, -5\/3, 2, 5, 0, 3896\/5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201461 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 13*j**2 + 14*j + 21. Let h be c(-12). Put h, -2, -5, -1 in decreasing order.\nAnswer: -1, -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 585, -3, -7 in ascending order.\nAnswer: -7, -3, -2, 3, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 5 (b) 7 (c) -74 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-6) + 72\/(-54). Let k = -3756 + 3806. Put v, -0.2, k in descending order.\nAnswer: k, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1154 + 2*n + 1154.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9338514 divided by -6\nAnswer: 1556419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(2299)*1)**2 + sqrt(19) + (sqrt(19) - (1 + sqrt(1900)))**2 - sqrt(114)\/(-2*sqrt(294))) + 2).\nAnswer: -11523 - 801*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501 + -43?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74224027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -63*q**5\/10 - q**4\/12 - q**3\/3 - 125*q**2 + 358*q. Find the second derivative of a(w) wrt w.\nAnswer: -756*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**3 - 45*k**2 + 29*k + 43. Let h(a) = 15*a**3 + 48*a**2 - 30*a - 44. Let q(m) = -7*h(m) - 8*r(m). What is q(23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 5. Let w be q(6). Let z(c) = -2*c + 9. Let m be z(w). Suppose -2*n + 4 = 3*u - 17, -2*u + 19 = 3*n. Sort m, u, 3.\nAnswer: m, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15866 = c + 9283 - 19090. What are the prime factors of c?\nAnswer: 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193040 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-84)\/(-273) - 4\/13. Solve -3*i = -2*m - 3, 3*m + 2*i + f*i = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*m**3 - 32480*m + 2*m**2 - 60*m**3 + 32483*m to the form w*m**3 + d + h*m + f*m**2 and give w.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (34 + -71 + -44)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose d - 37 = 2*n, 3*d = u*d - 1. Let k = n + 29. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607857633.\nAnswer: 3, 19, 3554723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22*u**2 + 41*u - 1. What is the remainder when x(-18) is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 4:14 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/101, -4, 0 in increasing order.\nAnswer: -4, -2\/101, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**6\/10 + 2*l**3\/3 + 11*l. Find the second derivative of h(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Suppose -t = 3*x - 11, x - 8 - i = -t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7 + 7*t - 2*t**3 + 3*t - 3*t - 2*t**2 - 2*t. List the prime factors of n(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -110, -265, -482, -761?\n\"Answer: -31*v**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.686607 to 2 decimal places.\nAnswer: 323.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1122\/(-374))\/(15\/4) + (0 - -1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -23\nAnswer: -121\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2993 + 2763. Which is the smallest value? (a) k (b) -0.1 (c) -2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27 - 3 = 4*l, 4*o = -2*l - 24. Let f(r) = -14*r**2 - 1 + 25*r**2 - 11*r - 13*r**2 + 6. Let m be f(l). Do m and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxlx when four letters picked without replacement from xbxlxslfbxllflllbb?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**7\/105 + 4*l**6\/75 + 3*l**5\/25 + 2*l**4\/15 + l**3\/15 - 143*l + 40. Let h(f) be the first derivative of m(f). Factor h(k).\nAnswer: 2*k*(k + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.181, -5\/3, 0.2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l**5 + l**2 - 3*l**5 - 3*l**5 - l**5 + 4*l**5 - 4*l**5 + l**5 + (-3*l**4 - 2*l**4 + 4*l**4)*(-2*l + 2*l - 2*l).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h + 1)*(-5*h**3 + 2*h**2 - 2*h**2) + 2*h**4 - 4*h**4 + h**4 + 815*h**4 + 1662*h**4 - 309*h**4.\nAnswer: 2157*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4 - (-2)\/(-4). Let m(x) = -2*x**3 - x**2 + 2*x + 2. Let n be m(-1). Sort d, -7, n in ascending order.\nAnswer: -7, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 13 - 3 = 3*c, 0 = -2*j + 5*c + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21030 (base 4) to base 14\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -4. Let q(l) = l**2 + 8*l - 5. Let t(c) be the second derivative of -c**4\/6 - 5*c**3\/2 + 5*c**2 + 2*c. Let b(o) = 5*q(o) + 3*t(o). Calculate b(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s - 69*s - 5544. Sort 2, 3, s in increasing order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4255)\/851*(-1)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 5. Let w be f(-4). Sort w, 4, -4.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431 (base 6) to base 9.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {g: 3, f: 3, s: 10, p: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3959 - -3957. What is the closest to i in 41, -1\/5, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 17. Let g(h) be the first derivative of 1 + 0*h**2 + 0*h**l - 3*h + 1\/2*h**4. Find the first derivative of g(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 43 = -5*c - 3*l, -5*c + 8 = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4374035.\nAnswer: 5, 874807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 5, -65122152?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/10)\/(12\/8). Let g be -1 + (-10)\/4 + 2. Let u = 41785 - 41786. Which is the second smallest value? (a) y (b) u (c) -1\/2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354235027 to the power of 1\/3, to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 2*t**2 - t**2 + 23*t**2 - 2*t**2 + 10*t**2 + (1 - t - 1)*(-5*t + 2*t + t) as k + u*t**2 + y*t and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 480, 225, -260, -1059, -2256, -3935?\nAnswer: -6180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let l(b) = -b + 8. Let s(f) = l(f) + 2*u(f). Let q be s(-6). Let m(p) = 3*p + 3*p + 0*p - 3. Calculate m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, -4, -49, -134, -265?\n\"Answer: -o**3 - 11*o**2 + 29*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103303 - 31230?\nAnswer: -201133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -1238?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 20*p**2 + 103*p + 22. Let k be v(-5). Solve 4*s - k = 2*h + 3, -3*s + 4 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4058457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1175*c + 1189. Let u be f(-1). Solve 6*h + u = 68 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 11. Let s be c(4). Let h = 4 + -4.2. Let n = -5.2 - h. What is the second smallest value in n, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 59207 = 4*w + 15*l, 6*l + 44358 = 3*w. What are the prime factors of w?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-14)\/((m*(m\/(m\/m**(-5\/2)))\/m)\/m*m*((m\/(m*m**(-7\/6)*m))\/m)\/m) assuming m is positive.\nAnswer: m**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12878814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52617491*m**3*s**5 + 3638*m**3*s**2 - 2653*m**2 wrt s?\nAnswer: -3157049460*m**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - w - 62 = w, 2*p - 12 = 4*w. Let h = p + -18. Let v(l) = -l**3 - 5*l**2 - 5*l + 1. Let r be v(h). Solve -29 = -r*a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -260*j - 52. Suppose 0 = -25*w - 1525 + 225. Let x(z) = z + 1. Let v(h) = w*x(h) - n(h). Let l(g) = 2*g**2. Determine v(l(b)).\nAnswer: 416*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*h - 3150, -87*c = -82*c + 2*h - 3155. Let j = 335 - c. Is j at most -298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 500305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -5. Let o = n - -21. Let z = -2.43 - -2.43. Which is the second biggest value? (a) o (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336971 to the power of 1\/2, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76\/9*f**2 - 278\/3*f**3 + 728\/9*f**4 + 232\/9*f - 98\/9*f**5 + 16\/3 = 0.\nAnswer: -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2 + sqrt(108) - sqrt(108))*4)\/sqrt(9).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (27 + -20) - (3 + -5 + 13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 293. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1212 and 3636?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**2 + w**2 - 4*w**2)*(-w - 2 + 2)*((0 - 1 + 2)*(1 + 1 - 3) - 5 + 6 + 8) in the form z*w**2 + c*w**3 + h*w + t and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 12.4?\nAnswer: -384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 - -281. Let h(z) = -z**4 - z**3 - z**2 + z. Let u(t) = 6*t**3 + 8*t**2 + 6*t. Let l(p) = g*h(p) + 2*u(p). Let l(y) = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 27 + -10 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 3, j: 1}. Give prob of picking 1 m and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6844, -27238, -61234, -108832?\n\"Answer: -6801*a**2 + 9*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30319 - 4858*q**2 - 30319.\nAnswer: -4858*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 16*x**2 - 3*x - 2. Let q(u) = -2*u**3 + 16*u**2 - 4*u - 3. Determine 3*o(d) - 2*q(d).\nAnswer: -2*d**3 + 16*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4 + 6. Suppose -k = -6*k + s. Suppose 4\/5*b**k + 2\/5*b - 4\/5*b**4 + 0 - 2\/5*b**5 + 0*b**3 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12527 + 12527 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f + 3. Let x(u) = -5 + 5*u**2 - 4*u**2 + 6*u - 10*u. Let r(g) = -5*a(g) - 3*x(g). Factor r(c).\nAnswer: 2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000981 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:05 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4\/3 (b) -0.035 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/246 and (8\/(-656))\/(5307\/2726)?\nAnswer: 15006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 2*u + 2 = 13*n, 0 = n - u - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)\/sqrt(5) - (sqrt(26) + sqrt(130)\/(sqrt(10)\/sqrt(2))))\/(sqrt(10)\/(sqrt(30)\/sqrt(6)*3)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -16 - (23 - 14)) + 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*q**2 - 36*q**2 + 2290 + 70*q**2 + 108 to the form r*q**2 + z + p*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5305 - -13?\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 696\/870 + 16\/(-70).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-42)*112\/(-736).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -12, d - 2*c = -0*d + 28. Let u = d - 12. Let v = -5 + u. Solve -14 = -v*a - f, -4*a + 0*f + f = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 22. Let q = n + 3. Let t be 14194\/(q - -1) + -3. What is t rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**2 - h + 1. Let n be f(1). Let y be ((-8)\/10)\/(2\/n). Which is greater: -7\/4 or y?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)\/(sqrt(10)\/(sqrt(2) + sqrt(2)*-3 + sqrt(2))))\/(((sqrt(3) + -1*sqrt(3))*-1 - sqrt(3)) + sqrt(3)*-1*-4))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 15. Let g(h) = 8*h - 2 - 4*h - c*h. Calculate g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus -171491.541404?\nAnswer: -171502.541404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -516.361 times -2?\nAnswer: 1032.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 16. Suppose 0 - y = -2*f. Let w be f + 27\/((-2)\/(-2)). Solve 0*j + 25 = -j - 4*d, -j - 5*d - w = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -413593 to the nearest one thousand.\nAnswer: -414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (1*sqrt(175) + sqrt(7) + sqrt(7))**2*6 + sqrt(77)\/(sqrt(33)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(7) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 11621778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(48)\/sqrt(4)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54645?\nAnswer: 3, 5, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/126 + 6\/27. Let j be -18 + 15 - 86\/(-38). Let t = 41\/133 + j. Sort t, -0.3, r in increasing order.\nAnswer: t, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-12)*2*20\/45. Suppose -3*x - 67 + 186 = i*o, 0 = -o + 4. Solve 2*n + 3*n = 3*j - x, 5*n + 9 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = l - 3*i, 4*l + 5*i + 52 = 14. What is the units digit of l\/(-14)*(6 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*h - 75 - 62, -5*t = -5*h - 205. Suppose -5*b = -3*d + t, -d + 4*b + 28 - 2 = 0. Let j = d + -3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648 divided by -3?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - 12.67. Let v = k - -18. What is the second biggest value in -0.5, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 429*v**6\/10 + 137*v**3\/3 + v**2\/2 - 80*v. Find the second derivative of o(b) wrt b.\nAnswer: 15444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4 - 12) + 7)*2\/2. Which is the nearest to f? (a) -3\/5 (b) -1 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636526567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - -1208329?\nAnswer: 1208356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686904 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 100.\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(44\/(198\/18))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/240 and 46\/21003.\nAnswer: 1680240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4 + 14. Suppose 4*i = -z + s - 0, -3*z + 2 = -4*i. Let a = 6695 + -6687. Calculate the highest common divisor of a and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472643855.\nAnswer: 3, 5, 10908473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/20 - u**3\/2 + 3*u**2 - 245. Let i(g) = -9*g**2. Determine x(i(z)).\nAnswer: -243*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1020 + 0?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -592180*0.1\nAnswer: -59218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -2.5. Suppose 2*q = 7*q. Which is the nearest to -0.1? (a) -2\/7 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*t - 1, -3*t = -3*h + 6. Which is bigger: h or -3\/155?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 135, 213?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 37. Let u(q) be the second derivative of q**3\/6 + 5*q**2\/2 - q. Let w be u(7). Solve -a*r = 2*j + w, 0 = -r + j + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/(2\/32). Suppose 0*b - 4*b = -l. Let v(x) = -5*x**2 - 3*x**3 + 4*x**3 - 2*x - 4 - b*x**3. Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579514333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93647, -93708, -93777, -93854?\nAnswer: -93939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-774)\/144 + 6\/16. What is n rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/13)*g)*g*g*(g\/(g*g\/(g*g\/(g*g*g**(1\/3))*g)))\/g*g)**(-4\/19) assuming g is positive.\nAnswer: g**(-236\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 + 9*k**2 + 11*k. Let x(w) = -w**2 - 9*w - 2. Let j be x(-8). Let r = -46 - -33. Let u(y) = -2*y**3 + 4*y**2 + 5*y. Determine j*z(i) + r*u(i).\nAnswer: 2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 4*o**2 - 4*o**2 - o**2 + 3*o**2 - 4*o**2 + (-o + 2*o + o)*(o - 5*o + 3*o) - 3*o**2 + 0*o**2 + 5*o**2 + (8*o - 11*o - 11*o)*(4*o - 4*o - o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g - 21. Let m be h(4). Suppose 0 = 8*d - m - 149. Let j be ((10\/6)\/(-1))\/((-7)\/d). Solve 0 = -4*z + 5*b - 3*b - 8, -5*z - j*b = 25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 225*a**2 + 4*a + 4. Is 15 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 + 7*y - 1. Let x be 1 + 4 + 24\/(-2 + -1). Let v(g) = -5*g**2 - 3*g. What is x*z(j) - 7*v(j)?\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:23 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1110100011010100001010 (base 2) to base 14\nAnswer: 714282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/20 - 5\/(50\/6). Which is the fourth smallest value? (a) z (b) -0.3 (c) -0.2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-18))\/((-3 - 0)*3\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 7*u**2 - 211 - 6*u**2 + 111.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1161740798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 65003*c + 18. Suppose 38 = -5*n + 8. Let z be f(n). Round z to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.8476 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) - 6\/(-30). Let s(a) = 3*a + a**3 + 5*a**2 - 1 + 0*a**3 + t*a**3. Give s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.844 + -0.156. Let c = 0.1 - 0.2. What is the closest to c in -0.1, -2\/7, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 8. What is w(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7464 = -112*g - 3992 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 0.08 (c) 2\/11 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -1\/1050*l**7 + 1\/150*l**6 + 0 + 0*l**4 + 0*l**3 + 1\/75*l**5 - 3*l**2 - 1\/1680*l**8 + 11*l. Let n(c) = 0. What is c?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*l - 192 = -525*l - 4706 for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlir when four letters picked without replacement from viliiirilior.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3323 - 3310. Solve 3*d - n = 2*z, 3*d - 5 = z + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1833, -1223, -613, -3?\n\"Answer: 610*n - 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336 + 1038 + 723*f - 2*f**3 + 401*f - 3560 wrt f.\nAnswer: -6*f**2 + 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from uypupupuuupyuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -8*x - 5*d, -2*x - 3103*d - 28 = -3100*d for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1081, 3448, 7095, 12016, 18205, 25656?\nAnswer: 34363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12379514003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.637 tonnes in grams?\nAnswer: 249637000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 144368.\nAnswer: -1\/144368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3 + 4 + 0. Suppose -5*g = q, l - g = -4*g + 9. Calculate the lowest common multiple of 6 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(27) - (sqrt(108) + 2*sqrt(108) + sqrt(108) - sqrt(108))))\/(-2*2*sqrt(36)\/sqrt(4))*-4)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.04 - -0.04. Let v = -21937 - -21937.2. What is the nearest to 1\/3 in h, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 (base 8) in base 13?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p + 95416 - 95413 - 10*p as z + x*p and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145347 is divided by 369.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 91. Let q = p + -48. Let u = -10 - q. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*d**2 + 270988*d - 1324400.\nAnswer: -2*(d - 15050)*(9*d - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -346993 and 85.\nAnswer: -29494405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*b + 30 = 0, 2*c - 8 = b + 6. Let q(r) = -2*r**3 - 14*r**2 - 10*r + 3. Let p be q(-7). Suppose -7 = -c*i + p. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 58 + 137 - 4901*z.\nAnswer: -4901*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 21*u - 1269. Let n be m(31). Solve 0*o - 4\/5*o**n + 4\/5 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -2. Let r = 1290 - 3872\/3. Which is the fourth smallest value? (a) -3\/5 (b) r (c) t (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -79259, 3, 1 in descending order.\nAnswer: 3, 1, -13, -79259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/23))**(-4)*(q**(-14))**32 assuming q is positive.\nAnswer: q**(-10300\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157\/135 + 6\/5. Find the common denominator of j and 19\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 25*h = 48. Let c = -18 + 24. What is the biggest value in h, -1, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1806*c - 40 = 1802*c. Let n(z) = 5*z**3 - 18*z**2 - z - 2. Let g(m) = 14*m**3 - 52*m**2 - 2*m - 7. Let h(u) = 4*g(u) - 11*n(u). Determine h(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89688 is divided by 198.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:22 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1490 + 973 - 287 = 64*d. What is the remainder when 352 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 5:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Suppose -4 = 2*f - 76. Let l = 57 - f. Let p be 4\/(16\/6)*(-28)\/l. What is k(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e + 1?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 17762540 to the nearest one hundred thousand.\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3209115 and 275067.\nAnswer: 9627345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*b + 108 = 390*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3603 or -45\/14?\nAnswer: -45\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*b**3 - 223*b**3 - 72*b**3 + 164*b**3 + 165*b**2 - 167*b**2 as v*b + m*b**2 + d*b**3 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**7\/2520 - g**6\/720 + g**5\/120 - g**4\/12 - g. Let p(i) be the third derivative of w(i). Let z = 79 + -79. Give p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434100 (base 5) in base 13?\nAnswer: 6a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o - c = -168*o + 14, -2*o + 5*c = 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11006 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 14. Let j = w - 5. Suppose 4*o - 2*p - 34 = -0*o, 4*o - j*p = 49. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwi when three letters picked without replacement from iiwqgvvsq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2716, 4, 174 in descending order.\nAnswer: 2716, 174, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c - 5*c - 5*c + (-3*c + 4*c + 0*c)*(3 + 2 - 7 + (-1 + 4 - 5)*(4 - 4 + 1) + 0 + 6 - 4) to the form a*c + s and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 + -3 - 66) + (-645)\/(-21)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41175755 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = 0, -5*i - 23*j + 26*j = -238700. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/13224 and -53\/304.\nAnswer: 26448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x - 1. Let q(m) = -m**2 + 2*m + 2. Let u(b) = -2*c(b) - q(b). Let o(n) = -3*n. Determine u(o(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 15 = 2*i, i - 34 + 28 = -3*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 - (-20)\/35. Suppose 19 + 41 = 12*q. Sort j, -1, q.\nAnswer: -1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 51. Let q = t - -38. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80425940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 18938*g**4 - 10896*g**2 wrt g.\nAnswer: -60*g**2 - 454512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227790065.\nAnswer: 5, 3691, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -1, 5 in descending order.\nAnswer: 5, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3e87?\nAnswer: -3e86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 2*x + 3*z + 192, z = -3*x - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 126, 218, 348, 516, 722?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.054438ns in microseconds?\nAnswer: 0.007054438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose 0 = 4*y + 2*m - 330, -4*y - 5*m = -330 - 9. Let q = -84 + y. Put w, q, -1 in decreasing order.\nAnswer: w, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 + 167. Let k = 28.000352 + g. What is k rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 7034\nAnswer: 25\/3517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 53, 39, 9, -43, -123, -237, -391?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 716, 1441, 2164, 2885, 3604, 4321, 5036?\nAnswer: 5749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3848*b. Let z(m) = -28*m**2. Calculate k(z(d)).\nAnswer: -107744*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727355479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 24*l**2 + 26*l + 6. Let f be m(-23). Let k = f - -54. Let y(a) = a**3 + 2*a + 1. Let d be y(-2). Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = -3*r - 46, -4*r - h = 67. Let x = r + -4. Let q = x + 25. Solve -15 = q*l - 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021071481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 55 - 3182411*q**2 + 3182404*q**2 - 55 - 2*q - 2*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(2\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-1 - 13) + 11) - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188\/5 - -38. Let b(g) be the first derivative of 3 + 0*g**4 + 1\/3*g**3 - h*g**5 + 0*g + 0*g**2. Find the third derivative of b(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4*v + 13 as h*v + k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197c - 4?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224) - (sqrt(224)*-2 + sqrt(224)) - sqrt(224) - sqrt(224))*-4)\/sqrt(8))\/(5*(sqrt(576) + -2*sqrt(576))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 540092664 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39710 is divided by 35204.\nAnswer: 4506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1924)\/(-38110))\/((-208)\/(-80))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**3 - 6*l**2 - l + 1. Let i(y) = -y**2 + 7*y - 8. Let w be i(5). Suppose 9*o + 66 = -w*o. Let a(q) = q**3 - q**2. Determine o*a(s) + d(s).\nAnswer: s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19742.8 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17614 - 17612. Sort 5, 238, 3, l, 0 in descending order.\nAnswer: 238, 5, 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -386? (a) 1\/8 (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 2*g - 0*g, 9 = 3*g. Let y(i) = i**3 - 6*i**2 + 2. Let v be y(6). Suppose 0 = -v*d - d + 6. Calculate the remainder when d is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -25\/96*q**4 + 0*q + 1\/24*q**5 + 0*q**3 + 0 - 1\/480*q**6 + 13*q**2. Let v(r) = 0. What is r?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7096\/(-6209))\/(-1 - (-65)\/63)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrkrjrjrrjkwkkjkjkj. Give prob of sequence lkj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 12)\/((-2)\/(-1)). Suppose 4*r = 9 + 11. Suppose 5*l - v + 0*v = 262, -250 = -r*l + t*v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002567 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 9 = 3*t, -15 = 5*t - n. Let r = t - -19. What is the greatest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.4165868 rounded to two decimal places?\nAnswer: 526.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k + 222. Let c be r(25). Put -33, 1, 5, c in increasing order.\nAnswer: -33, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h**2\/2 + 4*h - 5. Is 16 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7243, 14491, 21739, 28987?\n\"Answer: 7248*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16*w - 23. Let y(f) = 31*f + 47. Let x(l) = 2*y(l) + 5*z(l). Let j be x(-2). Solve 7*k - 12*k = -j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 21 = -3*z + 4*k, 9 = 2*z - k. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5278\/15 - -352. Which is the third smallest value? (a) o (b) 0.5 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -448 + 1?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270745 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (11 - -3))*-5. Let v = b - 38. What is the remainder when v + 2 + -1 - -1 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.7. Let l = -21351.9 + 21352. Which is the nearest to 1\/4? (a) -4 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-45)*-10)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g - 22. Let c be r(5). Let w be (-2 + 1)*3 + 5. Find the third derivative of -4 - 2*v**5 + 11*v**w - c*v**2 + 4 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*((d*d**(-16))\/d)\/d))\/d*d*(d**(-1\/2)\/d)\/d assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 427 = -30*q - 30*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:04 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2603.05 to the nearest 10.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 49, 1\/9, -0.4, 0.273, 10, -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932 - 2178. Is g\/(-4) - (-7)\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in -0.124, -0.2, 0.049, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(735)*5 - sqrt(735) - 3*-1*sqrt(735))\/(-3*sqrt(180)*1*1).\nAnswer: 28*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 17\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 2*p + 1 + p**2. Suppose 5 = -3*s + 4*o - 7, -9 = -s - 3*o. Suppose -i - 3*i = s. What is d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 777, 1471, 2165, 2859, 3553, 4247?\n\"Answer: 694*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 8820636116156?\nAnswer: 8820636116146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 7. Let f be h(7). Suppose 2*m + 2 - 4 = f, -3*u + 376 = 4*m. Let z = u - 52. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4\/2 + 425*h**3\/2 + 1185*h**2.\nAnswer: 5*h**2*(h + 6)*(h + 79)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 35 = -5. What is the closest to -4\/21 in s, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/30 - (-399)\/15. Suppose 2*a = 5*v + 130, 5*a + 71 = -v - 3*v. Let i = v + y. Solve i*k = k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38486712 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114947*t**2 + 3351745*t**2 + 1207338*t**2.\nAnswer: 4444136*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 3*g**2 - 6*g - 1. Let v be (2 - 3) + (-105)\/28*-4. Suppose -23*t - 54 = -v*t. Determine j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 355 + 363 + 3394*d - 718 in the form h*d + c and give h.\nAnswer: 3394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 + 192*t**3\/5 + 3988*t**2\/5 - 30192*t\/5 + 5202 = 0. Calculate t.\nAnswer: -51, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*1 + sqrt(77) + sqrt(77))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 21. Let j be 60\/45*(-6)\/(-4). Suppose p - 3*d + 3 = 2*p, 0 = -4*p - j*d + 12. Solve p*i - 3*l - 9 = 0, -2*i - 2*l = -w*l + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -41*k - 121. Let y be n(-3). Solve -y*w - 12 = 3*s + 7, -s - 11 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/22 - (10 + (7 - 14)))*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-12) + 6\/8. Suppose l - 12 = -j*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3661 and 474361?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 12*s**2 - 74*s - 60.\nAnswer: 2*(s - 10)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2309448 and 3464172.\nAnswer: 6928344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 545903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 1268093742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2991534 is divided by 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -a + 2, -a - 5*r - 5 = 4*a. Suppose a = 5*x - 15. Let v = 6 + x. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 2, v: 1, k: 1, r: 1}. Give prob of sequence fbvk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/30 - 17*k**3\/6 + 5*k**2. Let b be f(-6). What is the greatest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/19)\/(27045\/2466504)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 2275515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 89856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-6)*2*6\/(-15). Let x(p) = -408*p + 408*p + 3*p**f. Let d(m) = 13*m. Give d(x(i)).\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -7*w + 337. Suppose 4*k + 9 = -w. Let z = 67 - k. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, i: 1, r: 1, s: 1}. What is prob of picking 1 y and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192948 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + v**3 - 5*v**3 + 2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + 25?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12615 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280751525580*i**2 - 280751525580*i**2 - 189*i**3.\nAnswer: -189*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 167412 divided by 6?\nAnswer: 27902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 14*x - 48. Factor -6*n**2 + 2*n**4 - 6*n**2 - x*n + 10*n**3 - 4*n**2.\nAnswer: 2*n*(n - 2)*(n + 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-496)\/(-20)*17\/34 + -12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(2\/3)\/t*t**(-1\/3)*t)**5 assuming t is positive.\nAnswer: t**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*r + 273*r + 43 + 0 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27252 = -1541*g - 15896 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 13*z + 3*m - 51522, 0 = 5*z + 3*m - 85882. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.4564ng to tonnes.\nAnswer: 0.0000000000000904564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1077*x**2 - 1057*x. Let r(u) = -539*u**2 - 528*u. Let o(t) = -3*h(t) + 7*r(t). What is the second derivative of o(a) wrt a?\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -2*g**5\/5 + 10*g**2 - 105*g + 240. Differentiate x(i) with respect to i.\nAnswer: -8*i**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xecxe. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15 - (-56907)\/18 - 6\/4 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4797*j**2 - 2455*j wrt j.\nAnswer: -9594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -157*k**2 + 73*k + 78. What is s(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 25 = 3*i - 14, -4*i + 4*y = -76. What is the remainder when 383 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100101 - 1000111110001110?\nAnswer: -1001010000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 14 - 4. What are the prime factors of 22\/(-6) + (-2)\/s - -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30059 - -44594. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 1613*n**5\/5 + n**2 + 155*n - 1130. What is the second derivative of d(t) wrt t?\nAnswer: 19356*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 660.\nAnswer: -7\/660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -39*j. Let a(t) be the second derivative of -t**3\/2 + 8*t - 6. Calculate a(r(s)).\nAnswer: 117*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20\/r**(12\/7))\/(r**(-10)*r**(-9)) assuming r is positive.\nAnswer: r**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -71?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178740394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((-20)\/100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 17 (b) -3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 374 = -9*t. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - (-69)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x\/(x**(-1\/2)*x))))**(2\/117)\/(x\/x**(-21\/5)*(x**(-1\/10)\/x*x)\/x*x))**(-50) assuming x is positive.\nAnswer: x**(29885\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(0 - 5 - -1*36\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*t - 20 = -5*l, -3*t + 19 = 4*l. Factor 8 + 3*r - 11*r + 4*r - 8*r**2 + l*r**2.\nAnswer: -4*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9e227 (base 16) to base 4\nAnswer: -2132020213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832541839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*l - 75, -2*l + l + 117 = 4*r. Let v = -91\/3 + r. Which is the third smallest value? (a) 0.1 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350470418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112320 + -78135. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsl when three letters picked without replacement from {l: 6, s: 4, b: 2, v: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5375, 10207, 14497, 18245, 21451, 24115?\n\"Answer: -271*z**2 + 5645*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 1\/4*j**4 - 2\/3*j**3 - 2*j + 1\/2*j**2 - 2. Let w(d) = d + 9. Let u be w(-6). Calculate x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 588334.\nAnswer: -5\/588334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -19*y**3 + y**2 - 2*y - 3. Let p(q) = -94*q**3 + 5*q**2 - 11*q - 16. Let o(h) = -2*p(h) + 11*t(h). What is the tens digit of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -163 - 9*v + 2*v + 84 + 97 - v**2. Let f be n(-9). Solve 4*i + 7 + 5 = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 15. Let j(b) = -b + 14. Let m(c) = -5*j(c) + 4*w(c). What is the remainder when m(-5) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1448 = 27*p - 1495. Solve 106*v - p*v - 18 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 133. Suppose -x - 5*x = -r. Solve 33 - x = 3*c - 4*o, -4*c = -o - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73 - 29.27. Let m = h - -29.5. Let t be (-3 + 0)*1\/4. Which is the smallest value? (a) m (b) -1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x**(1\/2)*(x**0\/x)\/x**2)\/((x*x**(-1))**(-6\/5))**(-2\/13) assuming x is positive.\nAnswer: x**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67904257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 3*u**2 - 1. Let l(z) = z**3 - z**2 - 2*z + 2. Suppose -4 = b - 6. Let w be l(b). What is t(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 20*c**8\/21 - 16*c**5\/3 + 51*c**2. Find the third derivative of w(t) wrt t.\nAnswer: 19200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) -0.5 (b) 2 (c) -0.2 (d) -1\/6 (e) 5\/874\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4463801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40106.\nAnswer: 2, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-1) - (1 - -3). Suppose 0 = -d*a - 4*q + 1164, -2*q = -a + 140 + 151. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1309806904 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l - 55022 = 114390. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 8) in base 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 738258*k + 45418739547.\nAnswer: 3*(k - 123043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:00 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*q - 3505656 + 529792 = 58*q. What are the prime factors of q?\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25203 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q + 120 = -40*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 485537.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - a + 162. What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 98, 6 in descending order.\nAnswer: 98, 12, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -227 in -1.3, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090037.\nAnswer: 13, 191, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(18*z + 0 + 0) - 3*z + 5*z + 0*z + 0*z + z + 0*z + (0*z - z + 2*z)*(0 - 4 + 5) as u*z + x and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.9614 millennia in decades?\nAnswer: 44996.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-165823\nAnswer: -66329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/2*2\/6. Let y be j\/(3 - 260\/84). Factor -32*o**2 + 29*o**4 - 8*o - 10*o**3 + 4*o**2 - 4*o**2 + y*o**4.\nAnswer: 2*o*(o - 1)*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x**5 + 3*x - 4*x**5 + 2*x**5 + 3*x**2 - x**2 + (0*x + 0*x - 2*x**4)*(0 + 0 + x) - 4*x**5 + x**5 + 2*x**5.\nAnswer: -2*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - -0.04. Let y = q - -0.035. Round y to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92185 and 515.\nAnswer: 92185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*z + 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**3 + 6*h**2 - 19*h + 1. Let b(n) = 3*n**3 + n**2 - 2*n. Calculate 6*b(p) - k(p).\nAnswer: 24*p**3 + 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 70 + -1 + (-2 - 1) + -195 + 198\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -1332, -1947, -2462, -2829, -3000?\nAnswer: -2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*s + 84 = 564*s + 552*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 13*h - 19. Let v be d(-8). Sort v, -3, 0, 3 in ascending order.\nAnswer: -3, 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(700) + 3*2*sqrt(7) + -1.\nAnswer: -2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 + 6099*j**2 + 2*j + 306. Let l(o) = -4*o**3 - 6096*o**2 - o - 309. Let s(f) = -3*k(f) - 2*l(f). Find the second derivative of s(x) wrt x.\nAnswer: -6*x - 12210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*11\/(-4)*2. Let g(u) = 4 + u**2 + 4*u**2 - 5. Let i(x) = 3*x - 6*x**2 + 25*x - x + 32*x**2 - 27*x - 6. Calculate v*g(z) - 2*i(z).\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39087085*o - 71942981 wrt o.\nAnswer: -39087085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 6*d**2 - 54*d + 11. Let n be q(-5). Solve 0 = -2*f + 2*w - n, 3*w - 1 = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 209*f**2 + 39*f - 72. Calculate y(1).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5752535601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-3 + (10 - -4) + (-3 - 16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1749 and 1750 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-5) + (-30)\/50.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*y + 2 = 0, -67*t + 68*t + 4*y = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*n**3*p**4 - 4*n**3*p**3 - 450*n**3 wrt p.\nAnswer: 136*n**3*p**3 - 12*n**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -5, -728, -318 in decreasing order.\nAnswer: -5, -83, -318, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -93, -140?\n\"Answer: -47*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102.176 + -1448\nAnswer: -1550.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 129 = m. Suppose -w - 13 = 2*s + s, -5*w + m = -3*s. Let c = s - -6. Solve -5*d - q + 4*q + 6 = c, q + 2 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (5 - 2 - 2)*(3 - 3 - 2) + 0 + 3 - 2 - 9 - 2 - 8)*(-8*l**2 + 4*l**4 + 8*l**2).\nAnswer: -76*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v - 3*n, 4*n + 11 = v. Let q(p) = 7*p**v - p**2 + 5*p + 18 - 6*p - 17. Calculate the smallest common multiple of q(1) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (6 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358\/117 + -34\/13. Suppose b - 4*o = -0*b + 16, -2*o = 6. Let j(x) = x**2 - 5*x + 4. Let n be j(b). Are n and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4981*r - 218867. Let w be q(44). Let y be (2\/5)\/((-1)\/(-5)). Let u be (30 - (1 - y)) + 2. Calculate the greatest common divisor of u and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*s - 662 + 662)*(0 + 2 - 4)*(6 - 1 + 1 + s).\nAnswer: 146*s**2 + 876*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 163621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218 - -223. Suppose -d*t + 1122 = -3*t - 3*f, 2*f = -2*t + 1132. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 + 286. Let w = -13275335 + 13275239.99959. Let y = w + p. What is y rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 42, 33, 22, 9, -6, -23?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Suppose -2 - 2 = -4*b. Let r be 2 + 8\/(-3) + 0. What is the closest to -1 in p, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 - 2.21. Let j = 1.4 + i. Sort 2, 3, j in descending order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/4 + 66*b**3 - 2178*b**2 + 31944*b - 175692.\nAnswer: -3*(b - 22)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10073*i**2 + 4917*i?\nAnswer: -20146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/15 + (-168)\/(-90). Suppose -p*u = -6*u. Solve u = c + 1 + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*b**3 + 22*b**3 - 47*b**3 + (2 + 1 - 2)*(-4*b + 4*b - b**3).\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -33*(32\/6)\/4. Suppose 0 = -0*a - 3*a - 3*g - 147, 5*a = 4*g - 209. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - sqrt(2736)*2)*4)**2 - (sqrt(2736) - (sqrt(2736) + -2*(sqrt(2736) + 3*sqrt(2736))))**2.\nAnswer: -131328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12557 + 4*v - 12557.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 422 + 422 - l**2 + l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - d7?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*n = -21, 2*h - h + 2*n = 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 39339936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2752.232l to millilitres.\nAnswer: 2752232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 2 - 1\/2*l**2 + 0*l + 2\/3*l**3. Find the second derivative of u(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*j = 462*j - 6192 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 330 - 325. Which is the biggest value? (a) 4 (b) i (c) -0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*t - 4536 + 4545, -4*t + 6 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30133, 60195, 90253, 120307, 150357, 180403?\nAnswer: 210445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 8}. What is prob of picking 2 w and 1 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7425 and 1496825?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0.153, 6 in increasing order.\nAnswer: -2, 0.153, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172212 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*t + 352*t - 700*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842104.94 rounded to the nearest one hundred?\nAnswer: 2842100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -27\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120000 and 15360.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649486 is divided by 2131.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 110979*r\/2 + 55491.\nAnswer: -3*(r - 36994)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 130181 - 287266. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 14739 = 12301. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72.866 - -73. Let x = c - 0.21. Let n = 0.0759828 + x. What is n rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -195 + 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5365, -10729, -16093?\nAnswer: -21457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107556 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 23*k**3 - 95*k**2 - 7*k + 42. Let h(f) = 10*f**3 - 47*f**2 - 3*f + 18. Let g(a) = -3*c(a) + 7*h(a). Factor g(i).\nAnswer: i**2*(i - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 479274544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-3*f + f + 4*f) - 9*f + 25 - 12 - 14)*(-11*f**4 + 5*f**4 - 6*f**4).\nAnswer: 132*f**5 + 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-4*p + 6*p - 3*p) - 2*p + 0*p - 5*p + (3*p + 2*p - 6*p)*(-4 + 3 + 3) as f*p + h and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzpmnmdzmzqzqm. What is prob of picking 1 m, 1 d, and 1 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2508075 divided by -5\nAnswer: 501615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64 + 5*c**4 - 9*c**4 - 27*c**3 + c**5 - 5*c**4 - 29*c**3 - 227*c**2 - 41*c**3 - 204*c.\nAnswer: (c - 16)*(c + 1)**3*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4995*f**3*r + f**2*r + 18*f*r - 375453*r with respect to f.\nAnswer: 14985*f**2*r + 2*f*r + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -539 + 16.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, w: 5}. What is prob of sequence uuww?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102208955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59\/4 of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 27058*g + 4. Let l(p) = -27*p**2. Calculate u(l(b)).\nAnswer: -730566*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -8, -7, -4, 1, 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14612*v - 32568*v + 17952*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 + 4*r**2 + 25*r + 12. Let b(p) = -3*p**3 + 3*p**2 + 20*p + 11. Let m(l) = 5*b(l) - 4*c(l). Give m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 8*d - 7. Let u = -11 - -17. Let m be a(u). Let y = m - 0. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*u - 1776 = 0, 1066*q - u = 1070*q - 2398. Is 174 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r**13))*r*r)**17*((r**3\/r)\/r)\/r**(2\/39) assuming r is positive.\nAnswer: r**(11308\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -32*l**3 - 18*l**2 + 5*l. Let j(z) = -34*z**3 - 15*z**2 + 4*z. Calculate -6*j(u) + 5*r(u).\nAnswer: 44*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7029\/(-22)*(-4)\/6. Suppose 6*v - j = 99. Suppose m = -i + v, i + 3*i = -m + 64. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -0*y - 126. Let t = -18 + y. Suppose -f - 2 = -t*j + f, 5*j - 5*f + 5 = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5330 - 5324. Let a(o) = -7*o**3 + 14*o**2 - 5*o + 6. Let z(f) = 4*f**3 - 7*f**2 + 2*f - 3. Let n(h) = 3*a(h) + 5*z(h). Determine n(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 - 8 - 1 - 6*p + 4. Let g(v) = -5*v - 3. Calculate 4*g(f) - 3*h(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1108499*f**5 - 2*f**4 + 130401692*f wrt f.\nAnswer: -22169980*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 9724*r - 10 + 3 - r**2 - 5147*r.\nAnswer: -2*r**2 - 14871*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 - 65514*g**3\/7 - 65512*g**2\/7.\nAnswer: -2*g**2*(g + 1)*(g + 32756)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218364880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-6)*6\/(-2). Let l = 13\/15 - 1\/5. Let x = -19\/24 + l. Which is the closest to -1\/4? (a) 4 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 413.1043 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -4 + 10*t - 8*t**4 + 13 - 5. Differentiate v(k) wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16.6 (b) -0.1 (c) -7 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 36 = -4*u + 2*t, -3*u = 3*t - 33. Suppose 2*z + 0*z = -u, 5*o = -4*z - 3200020. What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = i. Suppose -22 - 93 = 5*o. Does 13 divide (-8)\/i*o\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850 - 2948 = -9*d. Suppose -5*q - 1430 = -5*m, 2*m - 336 = -2*q + 236. Let g = d - m. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116505 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779099 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 0*m + (m + 2*m - 4*m)*(2 - 2 + 2) + 0 + m + 0)*(-8*m + 12*m + 7*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -3.2, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157247 - 104070. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -491*g. Let x(z) = 2*z. What is l(x(v))?\nAnswer: -982*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5458, 10905, 16350, 21793, 27234, 32673?\nAnswer: 38110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -79. Let j = k + -46.99645. What is j rounded to 4 dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 - 4*r**2 + 4*r + 1. Let y be a(-2). Let q(g) be the first derivative of 2\/21*g**3 + y + 8\/7*g - 4\/7*g**2. Find d such that q(d) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59455 divided by -235.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1112640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -204430245 - -8?\nAnswer: -204430237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -3*t**2\/2 + 2. Let s(c) = -3*c. Calculate s(q(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*r - 86*r = 225. Suppose 62*b = 53*b + r. Let a(v) be the third derivative of v**4\/24 + 2*v**2. Let n(q) = -q. What is b*n(x) + 2*a(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*l - 6 = -56, -3*l = o - 23. Suppose -7 - o = 3*y. Let b be (-616)\/252*(-5 + 8). Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182*(-464)\/105560*(10\/(-52))\/(-1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/3))\/d)**(-3\/14)\/(d*d\/((d**(1\/8)\/d)\/d)*d*d*d*d\/(d\/(d*d\/(d\/(d\/((d**5*d)\/d)*d))*d))) assuming d is positive.\nAnswer: d**(-321\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c + 37. Let y be u(-6). Suppose 0 = 39*q - y*q + 92. Calculate the remainder when 60 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166513, -166525, -166527, -166519?\nAnswer: -166501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22096355971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -845*z**3 + 349051 - 349049 + z - 2*z to the form g*z + r*z**3 + k + s*z**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/16, 0.1, 1\/4, 1, 1145, 2\/3 in descending order.\nAnswer: 1145, 1, 2\/3, 1\/4, 3\/16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926.83 + -934. Let z = 1.03 - q. Let d = -8 + z. What is the second biggest value in d, -4\/5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 762669 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q - 2. Let g(b) = 19*b + 1. Determine -3*g(l) - 2*z(l).\nAnswer: -17*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 353*y + 74. Calculate o(353).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 1, k: 1, f: 5, j: 1}. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -51. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d - 5\/8*d**4 + 0*d**2 + 2\/5*d**5 - 1\/12*d**6 + 1\/3*d**3 - 40. Find q, given that a(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6535\/109 at least -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 61 = 5*g - 34, 0 = -2*i + 5*g + 160. Calculate the least common multiple of i and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l. Solve l = -4*x - 2*n - 2*n + 24, -2*x = 3*n - 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 8*n + 8. Let r(y) = -y**3 - y**2 + 377*y + 50. Let t be r(19). Determine l(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13064973 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -7. Let s = 867 + -866.7. What is the nearest to 2\/5 in -1\/6, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, q: 6, w: 5}. What is prob of sequence qwqq?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 859678 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 + -20.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(304) - (4 + sqrt(304))**2) + (sqrt(304) - (2*sqrt(304) + -3) - (1 + sqrt(304) + -2 + sqrt(304)))**2.\nAnswer: -180*sqrt(19) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 51851383*u. Let a(c) = -c. What is a(l(n))?\nAnswer: -51851383*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 370 = 9*v. Let f = -172 - v. Let i(q) = 3*q**2 - 5*q - 8. Let u be i(7). What is the greatest common factor of f and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 3*o + 3. Let v be n(-2). Let k = v + -9. Solve 3*s + 0*s - 9 = k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 18543.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 8*t - 1932.\nAnswer: 4*(t - 21)*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 580, 951, 1322, 1693, 2064?\n\"Answer: 371*a + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*v = -106, 9 = -2*a + 3*v + 57. Suppose 0 = -3*m - 0*m + a. Suppose -m = -2*s + 4*q, -4*s + 36 = 2*q + 2*q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700\/(-2880)*9*(-8)\/42*42\/(-10)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b - 6. Suppose 7*p - 46 + 11 = 0. What is the remainder when c(p) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/60 - 7*v**5\/20 - 571*v**4\/24 - 89*v**2. Find the second derivative of q(o) wrt o.\nAnswer: 12*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*u - 7720*g**2 - 649*g*u + g + 27650427*u wrt g?\nAnswer: 4*g*u - 15440*g - 649*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 336971 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14720430839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61332 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 18 (c) -1 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 11. Let t be u(-6). Let c be (-10)\/(-4) + 7 + -9. Let y = 1.8 + 0.2. What is the closest to y in 4, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*u - 3*q - 572710 = 53*u, -4*u + 3*q = -458171. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 4*f - 2*f**3 - 3*f**3 + 3*f**3 - f**3 + (-4 - 2*f + 4)*(-3*f**2 - f**2 + 3*f**2).\nAnswer: -f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:35 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134.061 - 134. Let i = -0.497 + -0.503. Is f > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let v(d) = t + 7 - 4*d + 5*d. What is the remainder when v(-4) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:50 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121777*-0.5.\nAnswer: 60888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2682, -21340, -71988, -170622, -333238?\nAnswer: -575832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -156, 1299, 2896, 4635, 6516?\n\"Answer: 71*s**2 + 1242*s - 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1890880289 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 11*c + 11. Let r be (-6)\/57 + -150*(-16)\/(-304). What is p(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27065, -26526, -25987, -25448?\n\"Answer: 539*t - 27604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - l. Let u = 6 - 10. Let j be a(u). Factor -8 + j - 108*m**2 - 12 - 72*m - 54*m**3.\nAnswer: -2*(3*m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2082 + -1197. Let f = -743 + d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 4*q**7\/21 + 34*q**6\/15 + 6*q**5\/5 - 17*q**4\/3 - 16*q**3\/3 + 30*q + 2. Let r(d) = 0. Calculate d.\nAnswer: -8, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p**2 - 844*p + 4383. What is w(6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a day in minutes?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8524870 divided by -2.\nAnswer: -4262435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11. What is the nearest to o in -2\/3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 58 + 18 = 4*b, 4*n + 5*b + 38 = 0. Let c = n + 16. Solve -c*l + 0*l = -u + 13, 2*u - 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 655*w + 96. List the prime factors of s(6).\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1.53 (c) -4 (d) 0 (e) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011476578 to 5 decimal places.\nAnswer: -0.01148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 645, 1658, 3065, 4860, 7037, 9590?\nAnswer: 12513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:16 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210287003 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16) - (3 - 21\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111333013130 (base 4) in base 2?\nAnswer: -10101111111000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.687115 rounded to 0 dps?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*32\/(-20)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-15)*(1 - 2). Let f = 44.2 - 44.4. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(22)\/(sqrt(11)*2))*-2 + (sqrt(20)\/sqrt(640) - 2*(sqrt(2) + 1)).\nAnswer: -8 - 23*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/21)\/(4\/18). Suppose 0 = -5*d + m*d + 14. Suppose 0 = -d*z + 3*z + 16. Is z bigger than 11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/143 and -53\/15394418.\nAnswer: 169338598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 88939*q**4 - 6*q**3 - 482*q**2 - 192*q - 1?\nAnswer: 120*q**2 + 2134536*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -673414?\nAnswer: -1346828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 230?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193589?\nAnswer: 11, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50285 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 220 = 3*d + 54, 4*d - 3*o = 212. Calculate the remainder when 347 is divided by d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 6 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f + 3*f + 0*f. Let z(x) be the third derivative of -x**4\/12 + 4*x**2. What is z(v(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1495, 1543, 1669, 1909, 2299, 2875, 3673, 4729?\nAnswer: 6079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3 - 3. Let i(d) = -5*d**2 + 7*d. Let p(f) = -2*f**2 + 3*f. Let v(w) = 3*i(w) - 7*p(w). Give v(t(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*o + 10 - 220 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 49. Let o = 5 - 5. Is h(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6884640, 6884654, 6884670, 6884688?\n\"Answer: h**2 + 11*h + 6884628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10467 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58479 at least 58480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835807933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-1 - 0)*1. Find the first derivative of 3*o**2 + z*o**2 - 2 - 2*o**2 wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - -6) - (9 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17493161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 108. Suppose 0 = -4*s + 11*s - y. Let n(h) be the second derivative of 5*h**3\/6 - 11*h**2\/2 + 6*h. Let t(f) = -2*f + 5. Determine s*t(b) + 4*n(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50426127?\nAnswer: 3, 1013, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986726347.\nAnswer: 167, 383, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 32 (c) -501 (d) -3 (e) 0.359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + c - 1. Let b(f) = 7 + 8 - 9*f**2 + 0*f + f - 8. Let z(j) = -26*j**2 + 2*j + 20. Let o(p) = -11*b(p) + 4*z(p). Give -3*o(x) - 7*t(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 13. Give l(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302554 (base 6) to base 14.\nAnswer: 8a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let b(r) be the third derivative of -r**4\/6 - 2*r**3\/3 - r**2. Let s = -21 - -18. Let a be (3\/(-6))\/(s\/(-18)). What is a*t(g) - b(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1410\/30)\/((-56)\/58 - -1). Suppose 0 = -7*k + 527 + z. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34939 = -25*s - 28614. Calculate the remainder when s is divided by 162.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000110 - 100001001?\nAnswer: -11010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 26*z - 162. Let i be j(-15). What is the second derivative of 2 - 72*y - 59*y**3 - 14*y**2 + 8*y**2 + 6*y**2 - 107*y**i wrt y?\nAnswer: -996*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0169178 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2785164, 5570155, 8355146?\nAnswer: 11140137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40286681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -2938, -6786, -12240, -19300?\nAnswer: -27966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-5)*590\/(-177).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 203, 688, 1627, 3170, 5467, 8668, 12923?\nAnswer: 18382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 10*d**2 + 96*d - 863. Calculate s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -364 - -17079\/47. Calculate the common denominator of 37\/8 and v.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jtj?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 + 6.5. Let f = 3.2 - j. What is the third smallest value in f, -1, 4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53203.38 months to millennia.\nAnswer: 4.433615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)*(2 + 0). Suppose 2*w = -x*w. Let a = w + -3. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.02 - -44. What is n rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**4\/24 + p**2. Suppose 0 = -3*v - 5*s + 126, 2*v + 33 = s + 104. Let k(d) = 39 - 75 + v. Calculate -k(y) - l(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 22. What are the prime factors of (-2)\/(-8)*0 - x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -590 - -0.0324035307.\nAnswer: -589.9675964693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)\/(d*d**(-8\/3)))\/(d\/d**(-1\/10)*(d**5\/d)\/d))\/((d\/d**(1\/10))\/(d\/(d*(d*(d\/((d**(5\/2)\/d)\/d))\/d)\/d*d)))**(16\/5) assuming d is positive.\nAnswer: d**(-379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 + 17*n + 23. Let k be q(10). Which is bigger: -11\/2 or k?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1084278 + 1083637.3578. Let s = w - -641.2121942. Let x = -0.57 + s. What is x rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b51 (base 16) to base 7\nAnswer: 11306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72199 - 12*a**3 + a - 3*a + 72202 + 8*a**2 - 4*a**2 to the form z*a + f*a**3 + g + p*a**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 115 + 5. Let t = 50 - x. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-168)*160\/8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-180) + (-1 - (-59)\/39)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-6))\/((v\/(v*v\/((v*v*v*v\/(v*v\/(v*v**(2\/5))*v)*v)\/v)*v))\/v))\/((v**(-2\/7)*v)\/(v**(-19)\/v)) assuming v is positive.\nAnswer: v**(-844\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*352\/33. Is y != -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**2 - 18*v**3 - 32*v**3 - 2*v**2 - 10*v**2 + 3*v**2 in the form p*v**3 + m*v + b*v**2 + s and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*m**2 + 450*m**2 - 7049 + 7049.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 19 - 19 + 3*z - 5*z + 3*z + (-1 - 3 + 2)*(-z + 3*z - 3*z))*(-6 + 6 + 2)*(-4 + 1 + 4).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 194*x - 14220. What is q(-144)?\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 566381378 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12577 or -12602?\nAnswer: -12602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -4 (c) -0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**2 - 1123*k - 1380. Determine b(-90).\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1710)\/(-520) - 1\/1*3. Is s >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6)*2*(-9 - (-2578851)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751, -770, -603, -154, 673?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7605*r + 340. Let u(j) = -845*j - 39. What is -4*s(x) - 35*u(x)?\nAnswer: -845*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7743*r**3 + 0*r**2 - 7740*r**3 + 0*r**2 + 22*r.\nAnswer: 3*r**3 + 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i - 1. Suppose -9 = -2*c - i. Does 14 divide (-6 + c)\/8*-106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2171.6456 - 3971.\nAnswer: -6142.6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 3) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 64. Suppose -v - 8 = 4*t, -2*v + 3*t + y = -t. What is the smallest common multiple of 2 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + -3*sqrt(95)*2))\/((sqrt(5) + sqrt(80))*-5).\nAnswer: -6*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 757?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpnuduhhduup. Give prob of sequence hud.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 20*b - 25*b - 15, 10 = 2*d + 2*b. What is the closest to 28\/9 in d, 2\/7, 2\/9, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, -12, -35, -58, -81, -104?\n\"Answer: -23*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -345.16 and -5713?\nAnswer: 5367.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -61, 2, 3\/4, -0.0176, -8, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6154 = -24*n + 20*n, -3*n + 3*j + 4593 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n - 4. Let d be m(11). Let j = -156 - d. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 11)*(-3)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/92*((-10)\/(-3))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 40*k + 12 = 0. What is the least common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5007909666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(540)\/sqrt(12)*4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187))\/sqrt(11) - (sqrt(833)*-2 - sqrt(833)))**2 + ((-1*sqrt(187))\/sqrt(11) - 1*sqrt(612)).\nAnswer: -7*sqrt(17) + 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8491203 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 2*w - 4*w + (-3 + 0 - 1)*(2 - 4*w - 2) - 4*w + 3*w + 0*w - w - w - 1 - 1.\nAnswer: 10*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 37 - 2. Let w(m) = m**2 + 4*m + 26. Let j be w(r). Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yxyyxxy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*j - 8*j + 105*j + 2*j + 23*j in the form s*j + z and give s.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 77352096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206900333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 0*h - 5*h)*(-3 + 3 - 3) to the form t*h + y and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 19 = 71*g - 73*g, 5*i - 13 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26967 - -26967. What is the smallest value in -0.5, s, 2\/39, 0.31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 4*x - 11. Let u be 4\/58 - 14616\/(-7569). Determine a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + -52.09. Let o = -307 - -357.5. Let v = s + o. Sort -3\/4, -2\/9, 4, v in descending order.\nAnswer: 4, -2\/9, v, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (3*(-4 + sqrt(171)) + sqrt(171) - sqrt(171) - sqrt(171) - (-3 + sqrt(171) + sqrt(171)*-3))) + -5.\nAnswer: -16 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 2. Let t(h) = -1. Let l(z) = -3*z + 2. Let a be l(1). Suppose 0 = -14*y + 10 + 18. Calculate a*p(j) + y*t(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*p + 4*z, -108*p - 2*z = -103*p + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, 1, -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9703*x + 402318 + 73928 + 571678 = 0 for x.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - -13. Suppose 0*a - m = -4*a. Let p be (-1 - -1) + 5 + -1. What is the greatest common divisor of a and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014533231781 rounded to 4 decimal places?\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 3*3\/9. Let w be (-3 + c)\/(6\/(-2)). Suppose 3*k + 558 = -2*s + 5*s, -2*s - 3*k + 377 = w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let b(t) = -t + 1. Let c = -936 + 935. What is c*d(g) - b(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -440 or -438?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 109 - 35. Let f(h) = h**2 - 3*h - 14. Let c be f(6). Suppose -c*m + 95 = -385. Calculate the greatest common divisor of w and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.89 - 328?\nAnswer: -303.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 10*o - 9. Let u be f(-11). Solve d + u = -2*m + 8, 3*m = 2*d + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2152 - -3136. Is 82 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 50*d - 3194. Let q be a(-37). Which is bigger: -1\/65 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -4 - (2 + -6). Solve a = 6*l - 3*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-57) + 1606\/264?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (-20)\/(-3)*15\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18885287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1122202?\nAnswer: -1122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265 (base 10) to base 15.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-1)*(-2)\/(-6). Let c be -1*(b\/1 - 2). Let t(k) = k**3 - k**2 + k + 14. Let y be t(c). What is the greatest common divisor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 3. Let w(k) = -k**2 - 6*k - 4. Determine -4*a(l) - 3*w(l).\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 0.2 in decreasing order.\nAnswer: 17, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(((-14420)\/(-5562))\/((-392)\/(-144)))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1075*p**2 + p - 281 wrt p?\nAnswer: 2150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2. Let x(a) = -13*a**2. Let w(r) = 3*r - 5*r - 5*r + 16 + 5. Let f be w(3). Suppose 7 + f = s - t, -2*s - 4*t + 2 = 0. Give s*i(n) - 8*x(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4\/5, -1, -11, 8\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2 + (4695 + 5 - -6). Suppose -8*o = o - t. Suppose -5*z + h + 2*h = -891, -o = -3*z - 4*h. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 + i**3\/3 - i**2\/2 + 7*i - 8. Determine t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 84 + 42 + 42.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1218*u**2 + 219*u**3 + 10*u - 10*u - 218*u**3 as l*u**3 + b*u + o*u**2 + c and give o.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347359, 2694652, 4041881, 5389046, 6736147?\nAnswer: 8083184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 576, 4, 2.\nAnswer: 2, 4, 5, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-9) + -2 - (-194)\/6. Suppose p*o + 455 = 37*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 74 = 8*c. Let u = 10 - -28. Let o be -7 - 655\/(-95) - (-4)\/u. Solve d = s - 5, 3*d + c = -o*s + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73 or -958\/13?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 - 39955*q**2 - 320005*q + 359955 = 0. Calculate q.\nAnswer: -9, 1, 7999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 + 11 = 0. Let k(s) = -s - 2. Let v be k(j). Let o be (28\/168)\/((-2)\/(-36)). Put v, 2, o in increasing order.\nAnswer: 2, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:40 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 46, 52, 56, 58, 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -214? (a) -7 (b) -3\/7 (c) 3\/11 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22753629 to the power of 1\/2, to the nearest integer?\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2519 and -3\/3893?\nAnswer: 42823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.46? (a) 0 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 7*w**4\/8 - 13*w**2. Let o(y) = -y. What is t(o(q))?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*m**3*o**2 - 6*m*o**2 + 59*o**2 wrt m?\nAnswer: -21*m**2*o**2 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**17*m))\/m*m*m*m*m**(-1\/11)*m assuming m is positive.\nAnswer: m**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*d + 675, -4*b + d + 3130 - 402 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 + q**4 + 2*q**4 + (-2*q**3 - 3*q**3 + 6*q**3)*(65 + 3 + 92)*(53*q - 41 + 41) as k*q**2 + c*q + m*q**4 + p + u*q**3 and give m.\nAnswer: 8481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73005 + -1?\nAnswer: 73004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -0.6. Let t = -0.0976 + d. Round t to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - 122) + -25 - (2 - 1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {n: 1, e: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w = -100*w + 1173. Solve -53 = -w*t + 100 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1716\/9438*(-22)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(12\/(1020\/(-17))*(-2)\/(-8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-795)\/(-41340)*((-16)\/(-3))\/1.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.294? (a) 3 (b) -4\/7 (c) 0.023 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 4138407\nAnswer: -16\/4138407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5668 is divided by 443?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*v = -70*v + 1626. Let b(f) = -3*f**2 + 23*f + 2. Let z(j) = j**2 - 8*j - 1. What is v*b(h) + 17*z(h)?\nAnswer: -h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d = -83*d + 52. Factor 2*q**d - 4\/9 + 14\/9*q.\nAnswer: 2*(q + 1)*(9*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894*w + 892*w - 1786*w + 7*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.55\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*9\/(-2). Suppose 0 = 2*j + u*n + 1, 6*j - 2*j = -2*n + 18. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/8)*177\/(-590)*10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:44 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -811\/672?\nAnswer: -811\/672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4098417?\nAnswer: 3, 31, 127, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and -32.\nAnswer: -10.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -155. Let a = j - -45. Let h be 9 - (a + 0 + (-4 - -3)). Do 13 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*b**4 + 304*b**2 wrt b?\nAnswer: 9000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 69. Which is smaller: n or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-5)*-6*7\/(-210)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.4 + -23.4. Let b = 11.24 + -0.24. Let x = b - 6. Sort x, -0.3, n.\nAnswer: n, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/229 + -1113\/1832. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/11 + 13\/77. Let g = -524.8 + 525. What is the closest to g in m, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5 - 57. Let x = 11 - i. Does 25 divide 56\/x*-3 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d\/d**(3\/8)*(d*d*(d*d**(-1\/2))\/d*d)\/(d\/(d\/(d*d**(-1\/9)))))**(-41) assuming d is positive.\nAnswer: d**(-9553\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**4 - t**3 + t + 1. Let k(b) = -4*b**4 - 440*b**3 - 3*b + 57. Let m(f) = -k(f) - 3*w(f). Differentiate m(u) wrt u.\nAnswer: 4*u**3 + 1329*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5707124 (base 9) in base 3?\nAnswer: 12210021010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*2\/(-4). Let c = -11.52 - -11.42. Put c, -5, q in descending order.\nAnswer: q, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 6. Let y(u) = 5*u - 9. Let k(n) = 8*a(n) + 5*y(n). Let x be k(0). Suppose x*w = 3*b - 45, 2*w = -4*b - 0*w + 36. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*z - 8 = 0, 4*z + 1 = -l + 7. What is the closest to 2\/71 in 1\/4, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:37 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-10) + (-21)\/14. Suppose 221 = 5*r + s*g, 175 = 4*r - 3*g + 4*g. Calculate the remainder when r is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a5ab (base 12) to base 6.\nAnswer: -31535535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22963192 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.3. Let p = 959 - 573. Let b = -398 + p. Put b, 2\/13, o in descending order.\nAnswer: o, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 138. Let w(i) = -i - 2. Let l be w(-7). What is the second derivative of -p*u**5 + 16*u**l - 131*u + 114*u wrt u?\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 22*j**2 + 22*j - 29. What is h(22)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -170. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + g)*(2*g - 4*g + 3*g) - 1 + 1 + g**2 + (3 - 6 + 0)*(-2 + 29*g**2 + 2).\nAnswer: -88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -8, 9, 34, 67, 108, 157?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653780027 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7753 + 7752.8. Sort o, 8, -2 in descending order.\nAnswer: 8, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f + 11. Let c(d) = -7. Let l(b) = b - 8. Let q(g) = 4*c(g) - 3*l(g). Let x(j) = 4*i(j) + 11*q(j). Calculate x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdw when three letters picked without replacement from {d: 3, w: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54927068 * -0.4.\nAnswer: 21970827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**3 + 0 - 1\/24*y**4 + y**2 + 0*y. Let l(c) = 0 + 4*c + 0. What is l(z(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 418*a - 65618. Determine v(157).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(0*d + 2*d - 3*d) in the form g*d + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/107))**(-4\/11)\/(b**(-15))**(-2\/101))**(-34) assuming b is positive.\nAnswer: b**(1228012\/118877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:49 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1379 + 2370. Suppose 6*t - 2533 = -k. Suppose -t = a - 790. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5585*0.1.\nAnswer: 558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 15*t + 4*t. Which is smaller: -2\/165 or t?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -529, -961, -1281, -1483, -1561, -1509?\n\"Answer: y**3 + 50*y**2 - 589*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 - -264. Let k(t) = t**2 - 27*t + 33. Give k(q).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 1, z: 14, s: 2}. Give prob of sequence sszz.\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 15*h - 14. Let b be n(-1). Solve -b*s - 15*s = 85 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 269. Let x = 128 - 121. Calculate the greatest common divisor of x and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80522?\nAnswer: 2, 13, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232762 at most 1232766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 x when three letters picked without replacement from xxgeevixixgv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5163 - 5163. Suppose 5*j - 2*r - 10 = j, -2*j + 4*r + 8 = 0. Solve 0*b = -b + j*i, h = -5*b - 2*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6534 and 1078.\nAnswer: 320166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -13. Is (52\/d)\/(165\/(-27) - -6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 606*p**2 + 2364 wrt p.\nAnswer: 1212*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - s + 5*s = -7, d - 11 = -4*s. Find the second derivative of d*i**4 + 3*i**4 - 3*i**4 - 3*i wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4538336, -1\/146, 1?\nAnswer: 4538336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2835.331*0.03\nAnswer: 85.05993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) 2\/15 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/35)\/((-2)\/90). What is the units digit of 2176\/72 - (-4)\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 23, -10, -24.\nAnswer: -24, -10, -5, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2\/2 + 6. Let n(k) = 31*k**2. Give t(n(j)).\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 8*u + 7. What is a(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Let o be w - 3 - 6*-4. Suppose 5*r - o = -5. Is 4 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\/7? (a) 2 (b) 4 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:24 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 4)*(-6*k**2 - 20 + 20).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/2 - 8*s + 8. Let o(h) be the first derivative of p(h). Let n(x) = 15*x**2. Give o(n(q)).\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3055\/7 - 436. Let d = -772163\/9174 + 3\/1529. Let f = -84 - d. What is the closest to 1\/6 in g, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (3689\/279 - 48)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - 2*v**3 - 2*v**4 - 184*v**2 - 8 - 34*v - v**3 - 50*v**2 + 36*v to the form z + y*v**3 + w*v**4 + i*v**2 + f*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 31*z - 78*z**2 + 14 + 52*z**2 + 6*z. Let k be f(-25). What is the highest common divisor of 224 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 19. Let s be g(-14). Let l be (-164)\/(-6) - (-6)\/9. Suppose 0 = 5*v + 3*h + s - 35, 0 = -v - 5*h + l. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/687056 and -67\/2748224?\nAnswer: 2748224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 3*r - 6*r)*(6 - 2 + 1)*(14 + 6*r - 14) in the form b*r**2 + t*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:00 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 632 - 653. Solve -5*j = k*n + 17, 22 = 2*j - 4*j - 5*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63759 divided by -159\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53137 and 0.059620035.\nAnswer: -53136.940379965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0858 - -1.0858. What is the biggest value in -1, 2\/13, -8, r, -0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c + 98*c - 132*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.136831cm to meters.\nAnswer: 0.07136831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxccbbbbbbcxcx. What is prob of picking 1 c and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919840748.\nAnswer: 2, 979960187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859371.9l to millilitres.\nAnswer: 859371900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3836249 and 77059?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 53*a = -48*a - 5, 4*a = 0. Let z be ((-206)\/(-42))\/(3 + -4) + 5. What is the nearest to 10 in v, z, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.022 or -26?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 12*w - 18*w = 0, -3*n - 5 = w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/10*(-8)\/(-6). Suppose -f - 3 = -5*a, -10 = -5*f + d*f - 4*a. Suppose -41 = -2*p - 3*z, -f*z - 106 = -p - 3*p. Solve -p = 3*b + 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:27 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -7*c + 2*c + 110407, -c + 22063 = -4*y. List the prime factors of c.\nAnswer: 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 4\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*f**4*i + f**3*x - f**2*i + 2*f*i*x + f*i + 39*f - i*x wrt f?\nAnswer: 2472*f**2*i + 6*f*x - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5426*a - 543. Let u(f) = 5426*f - 679. Give -4*u(k) + 5*y(k).\nAnswer: 5426*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (54 + (-22 - 11) - (0 + 11))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*r + 7, -w - 16 + 5 = -5*r. Let b(u) = -4*u**3 - 4*u**2 + 2*u + 6. Let j be b(-2). Solve j = -4*m + l, r*m + 4*l + 16 = -2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5393 - -5492.72. Let f = g - 98. Round f to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in 3, 472\/3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*f + 43, -5*f + 34 = -3*f + 5*s. Suppose 10*n - 33 = f*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -383816.\nAnswer: 3\/95954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 52*a - 143. Let n be m(-49). Suppose -4*g - 524 = -n*z - 2036, 3*z - 1512 = -4*g. Does 54 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 11 = 3. Let d(p) = 24*p**3 + 33*p. Let j = 73 + -40. Let n(v) = -3*v**3 - 4*v. Calculate j*n(b) + t*d(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*u - 3*u + 3*u) + (1 + 3 - 6)*(-4 + 5 - 3)*(3*u + 5 - 5).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(147) + (sqrt(147) - -1*sqrt(147)))**2.\nAnswer: 126*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 2\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 15 (b) -302 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 2.2. Suppose -144 = -5*z - 11*z. Suppose 12 = z*i + 39. What is the smallest value in 4\/3, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28015 (base 10) in base 13?\nAnswer: -c9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -7, 16 in ascending order.\nAnswer: -7, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419388563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-28))\/(-604*(-3)\/1*20\/480).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o + 23*o - 7*o**3 + 19*o.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10231 + -3?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.59166 and -181568845?\nAnswer: 181568845.59166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52462.\nAnswer: 2, 17, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10)\/(-150)*9995 + 2\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4597 + -4582. Solve -c + 3 = -3*r - 5*g, -16 = -4*r - 3*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-456)\/116 - (5 + (-72)\/(6 - -2)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001958953 to 7 decimal places.\nAnswer: 0.0001959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/723284 and 79\/158994.\nAnswer: 787656276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(2*q + 0 + 0) - 2*q + 3*q + 0*q - 3*q + 2*q + 0*q + 2*q - 5*q + 2*q + (-2 + 0 - 1)*(-3*q + 3*q - q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.157 * 94.\nAnswer: 1518.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(0*v + 0*v - 4*v)*(3 - 5 - 2).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 324427273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.6 + 22.6. Is j equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/12 + n**5\/5 - 2*n**3 - 2*n**2. Let v(j) = j**3 + j**2 - 1. Determine f(s) - 12*v(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-13)\/78*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5546921*s + 755298.\nAnswer: -5546921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 + 15*y - 9. Let r(f) = -f**2 + 11*f - 5. Let v be r(3). Let d = v + -13. Let k be p(d). Solve -4*c + k*c = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 273*l + 6150 = 0.\nAnswer: -50, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-12) + 4*4\/(-48). Let g = -0.4 - 4.6. Let f = 0.2 + -3.2. What is the closest to y in f, g, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586155 is divided by 652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, 1, -16, -12, 66 in decreasing order.\nAnswer: 66, 5, 2, 1, -5, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 9 + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4 + 6*x + 0*x**2 + 2*x**2 - 2*x + 0*x - x**3. Let v be u(3). Let a be -3 - 2599994 - (2 - v). Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(68) - (sqrt(68) + -1 + sqrt(68) + sqrt(68))) - (sqrt(68) + -2*sqrt(68))*4) + 1)**2.\nAnswer: 48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42433, -41249, -40065, -38881?\n\"Answer: 1184*f - 43617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108763?\nAnswer: 61, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-872)\/(-545))\/((-4)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffbpffpcffwfcfcc. What is prob of picking 1 c and 1 p?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - ((sqrt(600) - sqrt(600)*-2) + sqrt(600)))\/sqrt(4))\/(sqrt(162) + sqrt(162)*1 + sqrt(242)*1).\nAnswer: -15*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*u - 9*u - 864088 + 3116998. List the prime factors of u.\nAnswer: 5, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i*q**3 + 183878*i*q**2 + 290*i*q - 206*q**3 - 64*q + 254 wrt q?\nAnswer: -24*i*q + 367756*i - 1236*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 78, 281, 680, 1341?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45888 by -2.\nAnswer: 22944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-28) + -4)\/(14679\/(-588) + 25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 5175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a48 (base 15) in base 8?\nAnswer: 516074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - 306.1. Let t = 1.4 - -0.8. Put t, n, -0.5 in decreasing order.\nAnswer: t, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/105 + 23*d**6\/60 - 19*d**3\/3 + 109*d**2. Differentiate v(l) with respect to l.\nAnswer: 8*l**3 + 138*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g - 3 + 2 - 11*g + 7*g**2. Calculate the remainder when 19 is divided by o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 at most as big as -1\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -8 - 16)*28\/1. Let s = 2\/22631 + -1289999\/362096. Calculate the common denominator of 83\/(-581) + (-443)\/n and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 3646751?\nAnswer: 3646748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -6, 16, 3, 2 in increasing order.\nAnswer: -21, -6, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/63)\/((176\/(-84))\/(-4))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a + 4. Let w(t) = 25*t + 7. Let s(i) = -7*m(i) + 4*w(i). Let v(g) = -7*g. What is s(v(k))?\nAnswer: -63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - 4*i**3 - 6*i**2 - 12*i + 47. What is p(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**8\/336 - 7*j**6\/120 - j**5\/10 - 6*j**2. Suppose q(v) = 0. What is v?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3164*a**3 + 1960*a**3 + 1208*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 906774 and 1824789.\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((4407\/(-546))\/(-113))\/(-3*22\/(-63))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -42*c - 30. Suppose -j + 4*j = 2*g + 1, -3*j + g = c. Let s(p) = -4*p - 5. Let t(z) = 5*z + 6. Calculate j*t(k) - 4*s(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmccccmmmmccmmm. Give prob of picking 3 m.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2, -3\/5, -3500, 2\/19, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x**3 + 76540*x**2 + 644620*x + 245600 = 0 for x.\nAnswer: -8, -2\/5, 3070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -184124 - -22228\nAnswer: -161896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from suxxsssssxlul?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*k - 12 = 0, 3*s + 5*k - 20 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 6*z**2 - 98*z - 90 = 0. Calculate z.\nAnswer: -5, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.53 - -0.3. What is d rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 33959.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2293 or 2039?\nAnswer: 2293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 123345723.59 to the nearest 100000.\nAnswer: 123300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94865909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 659*l + 480*l**3 - 190*l + 849*l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.17 - 0.075.\nAnswer: 1.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1102, 1976, 3426, 5452, 8054, 11232?\nAnswer: 14986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16352 divided by 18905?\nAnswer: -16352\/18905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*h**5 + 2*h + 12 - 3 - 8 - 3*h - 115*h**5 wrt h?\nAnswer: -2720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105509.326 to the nearest ten.\nAnswer: 105510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -405 greater than or equal to -10507\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3023643 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1224423420 (base 5) to base 11\nAnswer: -1747470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391094771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 + 10 = 0. Solve 0 = -n*v + 1 - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -660*g**2 - 878*g**2 - 2156*g - 716*g - 477*g**2 + 593*g**2 wrt g?\nAnswer: -2844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 393124 = -1298353. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 2, -7 in decreasing order.\nAnswer: 2, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.58 and 40.79406.\nAnswer: 23.6605548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7970 + 14593. List the prime factors of i.\nAnswer: 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*o**3*z**3 + 13037*o**3*z - 682547*o**2 + 2*o*z**3 - 20*o*z wrt o.\nAnswer: 816*z**3 + 78222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -11\/791 (c) 6 (d) 0.4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 46*s - 43*s + 4, 4*p = s + 12. Let t(x) be the third derivative of -p*x**2 - 1\/12*x**4 + 0*x + 3\/2*x**3 + 0. What is t(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*f = -239303, 3*b + 4*f - 92477 = 146816. What are the prime factors of b?\nAnswer: 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102749 plus 1?\nAnswer: -102748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let r(o) = -15*o + 5. What is y(r(v))?\nAnswer: 60*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.144 + -3.904. Let c = -0.24 + h. What is the third smallest value in 0.06, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -51263 and -358850\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5151 - -0.1151. Which is the closest to d? (a) -3 (b) 0.5 (c) -6.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.42 + 55.83. Let i = 0.39 + l. Let m = -26 + i. Which is the third smallest value? (a) 4 (b) -2\/11 (c) m (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = -4*y, -2*y + h - 1 = -0. Suppose y*b + 3*b = 66. What is the greatest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -5.3.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1001001100001100101 (base 2) to base 16\nAnswer: -49865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*l**3\/5 - 12954*l**2\/5 - 18116*l\/5 - 5226\/5 = 0. Calculate l.\nAnswer: -201, -1, -13\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 102 = -k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9431016 divided by -336822?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/13)*m**9*(m**0\/m)**(6\/5) assuming m is positive.\nAnswer: m**(562\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 880778461 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 0. Let h be 5 + -1 + n\/3. Suppose 0 = -3*d, -d - 2*d - 4 = -h*v. Solve -5*q - v*k = 10, 3*q - 5*q - 3*k = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (20 - (12 + 11)) - -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {n: 1, t: 5, q: 4, z: 2, a: 2, c: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/10)*k*k**(-1))**47*(((k\/k**(-1\/3))\/k)**(-3\/31))**(9\/4) assuming k is positive.\nAnswer: k**(20353\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:35 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -29. Let i = -69 - -81. Calculate the least common multiple of l and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268378 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101111010011 (base 2) in base 10?\nAnswer: 11219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-2\/45))\/i**6)**26)**(-22\/5))**44 assuming i is positive.\nAnswer: i**(5713136\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2. Suppose -36 = -10*l + 284. Let o(f) = 96. Let a(c) = c + 3. Let k(y) = l*a(y) - o(y). Give k(b(j)).\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/21000595 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from zchzjbubj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -738380000 rounded to the nearest 1000000?\nAnswer: -738000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 587800 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let r(y) = 7*y**2 + 48. Let a(k) = k**2. Let o(h) = 6*a(h) - r(h). Give o(d(i)).\nAnswer: -4*i**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*x + 5*z + 40 = -77*x, 0 = 2*x + 5*z for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m. Suppose -6 + 1 = 5*i. Determine d(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 1\/7 (b) 0.1 (c) -5 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808 = 4*h + 192. Let d = 672 + h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 12:46 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a84 - -109?\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/32)\/((9\/(-18))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3405\/135 - (-4)\/(-18). What is the highest common divisor of n and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - db3?\nAnswer: -cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*i - 5710 + 1824 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/58555002 and -59\/88.\nAnswer: 234220008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*l + 20*l - 46*l + (4 + 4 - 5)*(-1 + 4 - 5)*(2 - 1 + 0)*(1 + 4 - 1)*(-10 + 10 - l).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 take away 12604375878?\nAnswer: -12604375873.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -4. Suppose -9*f + 1 = -8. Is l greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (9 + -9) - (-2 - 12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26745676 and -51262?\nAnswer: 26694414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1278 + 0?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:37 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 364517*n**5 - 71262*n wrt n?\nAnswer: 7290340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143758 is divided by 14373?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 - (40 - (1 + -12))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -24, -42, -64, -90, -120?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = 0, -2*w - 2*n - 2 = -0. Suppose -10 = -w*z + 2. Let r be 4\/z*(-3)\/(-6). Which is the closest to 1? (a) r (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 273 = 3*j, -4*i + j + 382 = 3*j. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**2 - y**2 - 7*y**2 - 270*y + 270*y + 23*y**2 + (-2 + 4 - 3)*(0*y**2 + 0*y**2 - y**2) to w + x*y + q*y**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 q when four letters picked without replacement from yqqyyqyqyqqy.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/38 and 61579\/(-10108) + -14*3\/(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 11. Let j be z(-14). Sort -5, j, 3 in increasing order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-6)\/3)*277\/2. Let u = 468 - s. List the prime factors of u.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3841 or 3859?\nAnswer: 3859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89305143?\nAnswer: 3, 113, 263437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2262 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.609 - -0.609. Sort 2, b, 3.5 in descending order.\nAnswer: 3.5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1540*s - 885. Is 47 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5627420 divided by 4.\nAnswer: -1406855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -445186 (base 10) in base 9?\nAnswer: -747611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3018723*g**2 - 3*g + 5. Let y(d) = 3*d. Determine a(y(i)).\nAnswer: -27168507*i**2 - 9*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 16. Let r be (o\/10)\/(35\/25). Let d be ((-6)\/(-15))\/(33\/15). What is the second smallest value in r, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -13\/11, 8, -1\/7 in decreasing order.\nAnswer: 8, 0.1, -1\/7, -13\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 1, z: 2, i: 9}. Give prob of sequence ik.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 3*j + 153 = 0, -4*n + 148 = 4*j. Suppose 226 = 4*k - n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let o(y) be the first derivative of -2*y**3\/3 - 1. Let v(s) = -2*s - 2. Let p(n) = 8*n + 10. Let h(c) = p(c) + 5*v(c). Determine h(o(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 1072, 2370, 4190, 6544?\nAnswer: 9444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 5. Let t = 3.827 + -6.827. Let u = -3 - -3.4. What is the nearest to -1\/8 in p, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 44986193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/10 - 3221*a**4\/5 - 77403*a**3\/10 - 145186*a**2\/5 - 187154*a\/5 - 77448\/5 = 0. Calculate a.\nAnswer: -6, -4, -1, 6454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 3\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -34. Let p = 0.3 + -0.8. Let t = 0.3 + -0.6. Which is the closest to m? (a) t (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 77633344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucucccccccccuccucuc. Give prob of picking 1 u and 2 c.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwoxwwoxowxw. What is prob of picking 1 w, 2 o, and 1 x?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3 + 766*d**2 - 1142*d wrt d.\nAnswer: -12*d + 1532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584092?\nAnswer: 2, 593, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -104, -4, 10, 5 in descending order.\nAnswer: 10, 5, -2\/9, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 - -285. Solve 0 = 13*c + c - v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 96897602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 31*o = 3102 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:15 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.13. Let d = -2.93 - i. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -27, 146, 1, -3 in increasing order.\nAnswer: -27, -3, 1, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*g - 2510 - 7402 = 23338 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123933 and 2887083?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6421 millilitres in litres?\nAnswer: 0.0026421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 27*t**2 - 307*t - 1397. Calculate p(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*z - 32 = 0, -5*g + 49 = -3*z + 51 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*38\/152)\/((-22)\/(-4)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707 (base 12) to base 7.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - -4. Let d(q) = -q**3 - q**2 - 2*q. Let l be -1 - (12\/(-3))\/(-2). What is the remainder when h is divided by d(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(2754)\/sqrt(2)*-4 + -2) + 1)**2*-1.\nAnswer: -550921 - 3960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5 + 13353*z**4 - 133719*z**3 + 494991*z**2 - 802872*z + 481788 = 0.\nAnswer: -4461, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 57452271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - 2*n)*(1 - 3 + 1) + 19033*n - 38068*n + 19034*n + 1 as t*n + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 + 8*l + 12. Let i be z(9). Let d(k) = 3 + i + k**2 + 29*k - 4 - 15*k - 13*k. Determine d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3022*i - 18*i**2 + 3023*i - 92*i**2 + 3 in the form w*i + m + c*i**2 and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-534)\/8*44\/12. Let v = 247 + w. Factor v*s - 3\/2*s**2 + 0 + 1\/4*s**3.\nAnswer: s*(s - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889826419.\nAnswer: 47, 73, 223, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dd + 315?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*j**3 - 6*j**2 - 371*j wrt j.\nAnswer: -312*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7989.41 millennia to centuries.\nAnswer: 79894.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(255\/986) - 11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430295 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, i: 1, e: 3, r: 2, m: 7}. What is prob of picking 2 e, 1 i, and 1 m?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 3\/2, -0.5, 4\/25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + m - 1. Let h be l(0). Let g = h - -1. Solve g = x + 2*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 divided by 5?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -314 - 382. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1111?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 8 = 0. Let b = 182 + -183. Let w = h - b. Solve -2*n + 5 = -w*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 + 5*m + 6. Let y be h(-6). Let q be (-2)\/5 - y\/(-20). What is the second derivative of -15 - 16*o + q + 3*o**4 + 4 wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:48 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - 64 + 64)*(3 + 3 - 4) + (3 + 0 - 1)*(415*b - 201*b - 346*b) to the form n + m*b and give m.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 879 + -869. What is the second biggest value in -1, -1\/4, r, 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -8*w - 22. Let u be (-12)\/3*46*w\/16. What is the first derivative of 3*y + 6*y - y - u wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1027 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 100150249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329544988451 - 0.46.\nAnswer: -329544988451.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73b4 (base 12) in base 3?\nAnswer: 122101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1367 divide 511967460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*s + 101 + 25, f - 4*s - 69 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20818*d = -20796*d + 308 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g + 204960 = 194046 for g.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -464, -4 in ascending order.\nAnswer: -464, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/11 - 9780*d\/11 - 11956050\/11 = 0 for d.\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*28\/36*(-8976)\/308?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-19))\/2 + -1. Suppose 0 = -2*h - 3*n + 78, -4*n + 78 = 2*h - 0*n. Let y = h - 40. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -46 - (3 + 3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 + 17*r + 86. Let p be c(-5). Put p, -13\/2, -2, -3 in increasing order.\nAnswer: -13\/2, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n + 3. Let r be (-1)\/(-4) - (-18)\/n. Does 14 divide ((-56)\/6)\/(r\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, e: 1, c: 2, r: 2, z: 1}. What is prob of picking 1 e, 1 l, and 2 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 - 4. Suppose -3*q - q = -12. Solve h = -c + q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9580.112m?\nAnswer: 958011.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f + 1. Let n(w) = -25*w**3 + 7 + 8*w - 1 + 19*w**3. Give -n(b) + 8*z(b).\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47684 - -88543. Let m = g - 120859. Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**7\/168 - 5*s**6\/72 - s**5\/4 + 2*s**3\/3 - 11*s**2 - 44. Let q(j) be the third derivative of t(j). Solve q(w) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1116.9 - -1117. Which is greater: -295 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 2, -31, -78, -139, -214, -303?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1) + -8 + -14 + 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 17*z**3 - z + 1. Let x be a(1). Let j = x + -8. What is the remainder when 605\/j + 6\/(-27) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001101000 (base 2) to base 11\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71984753 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g. Let m(k) = 27*k - 9*k - 17*k. Determine c(m(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - 203585*l**3 - 11*l - 44996*l**3 + 10636*l**3.\nAnswer: -237945*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/30 + (-12899996)\/10. Round y to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*w + 98669 + 110773 = 380*w - 1980*w for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxrrrxrxrbsx. Give prob of picking 2 r.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403837794?\nAnswer: 2, 3, 101, 191, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3\/2)*-74. Let q = c - -14. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 519981 equal to 519975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(3600) + (sqrt(3600) - sqrt(3600)*-3)))*-1)\/((2*-2*sqrt(84))\/sqrt(7)).\nAnswer: -49*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 - 4 = 0. Suppose -18 = -o + 4*v, 0*v + 10 = -f*o - 4*v. Solve 5*m = l + 22, 3*m = o*l + m + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18287 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 divided by -4?\nAnswer: -1011\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 + 6*v + 4. Let l be h(-5). Suppose 576 = 4*g + 4*u - 6*u, -5*g - 5*u = -705. Let m = g + -143. Put m, 3, l in descending order.\nAnswer: 3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, -755, -5\/13 in increasing order.\nAnswer: -755, -5\/13, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 + 17 = -4*k, -3*i - 5*k + 13 = 0. Suppose 0 = 2*d - t + 3, -5*d + 5*t = i + 9. Solve d*v - 20 = -5*v + 5*s, 0 = 2*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 + 292724*h**3 - 1756336*h**2 + 10538000*h\/3 - 2341776.\nAnswer: -(h - 878166)*(h - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452281 is divided by 80.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l - 3. Let m(k) = 1 + 257*k**2 + 1 - 429*k**2 + 1. Let n(u) = -4*f(u) + m(u). Find the second derivative of n(o) wrt o.\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k**5 + 0*k - 17\/60*k**6 - 20\/3*k**3 + 0 + 23*k**2 + 0*k**4. What is the first derivative of y(a) wrt a?\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3 - 6*i + i**3 + 1406*i**2 + 17 - 1398*i**2. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7778941949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16798393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfnsnu. What is prob of sequence nsfn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 - 231. Let r = 128 - o. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -20. Suppose -f = -0*c + c - 5*z, -5*c - 4*z + 40 = 0. Solve u - c = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 - -292. Suppose 0 = h - 4*v + j*v + 2, -4*h + 1 = -5*v. Solve -5*o + 22 = -n + 2*n, -o = -h*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, l: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 5. Let a = -12 - -9. Let m be a\/(-1 - 4\/(-16)). Let p be l(m). What is the greatest common factor of p and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + (2 + sqrt(605))**2.\nAnswer: 45*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3162*r - 8 + 8 + 3160*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*y - 13 - 8*y - 4*y + 17*y - 4*y + 5*y + (6 - 4 - 1)*(-1 + 2*y + 1) - y - 3*y + 3*y to v*y + g and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13248 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(-28 - -22). Let y(t) be the second derivative of 0 - 1\/20*t**5 + 1\/2*t**2 + l*t**4 + 2*t - 1\/2*t**3. Factor y(r).\nAnswer: -(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105737823 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/23, -4, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -0.021969.\nAnswer: -0.703008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 28*h**2 + 9*h. Let f(m) = -37*m**2 - 12*m. Let l(z) = -7*f(z) - 9*j(z). Let s(x) = -15*x**2 - 5*x. Give 5*l(y) + 3*s(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9815962cm in meters?\nAnswer: 0.009815962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -36*j - 42. Let t(z) = -7*z - 8. Let h(s) = 21*t(s) - 4*u(s). Let a(c) = c. What is a(h(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*j**3*u**2 - 387*j**2*u**2 - 5*j*u**2 + 742*j*u - 10*u**2 wrt j.\nAnswer: -252*j*u**2 - 774*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(612) + -6*(-1 + sqrt(2448) - sqrt(17)))**2.\nAnswer: -1080*sqrt(17) + 61281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*w - 40 = 0, 224*w = -3*q + 227*w - 12. Let p(m) be the third derivative of -m**4\/24 + 5*m**3\/3 + m**2. Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 4*r**2 - r. Suppose 0 = -4*g - g + 55. Let a = 8207 - 8205. Let n(p) = p + 5*p - p - 21*p**2 + 10*p**3. What is a*n(i) + g*u(i)?\nAnswer: -2*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1514 take away -483865077?\nAnswer: 483865072.8486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 33 + 116 = 5*y, 2*d - 3*y = 27. Solve 112*t - d = 108*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000640075 to six decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430, -911, -1712, -2833, -4274, -6035, -8116?\nAnswer: -10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447*y + 35 + 27*y**2 - 232*y - 212*y)*(-4*y**2 + 5*y**2 + 0*y**2).\nAnswer: 27*y**4 + 3*y**3 + 35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}