diff --git "a/data/dm_maths/full_data_1/10491_11255.jsonl" "b/data/dm_maths/full_data_1/10491_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10491_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of 714892*u**4 - 7114*u + 1 wrt u.\nAnswer: 8578704*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 5*k - 3. Give q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 33*q**2 - 64*q + 5. Calculate the remainder when j(8) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let m(q) = 27966*q**2 + 5*q - 1. Determine m(r(l)).\nAnswer: 251694*l**2 + 15*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -165466\nAnswer: 1\/11819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 28584?\nAnswer: 257256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143432100 - -21?\nAnswer: -143432035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/30 - b**4\/6 - 13*b**3\/6 - 14*b**2. Let v be f(4). Solve -2*g + 12 = 2*u, u - 2*g = -0*u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from lbclf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 16*s - 16 = 0. Suppose 0 = -f - 0*f + 3*x - 4, -5*f = s*x - 18. Solve -3*q = f - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 28. Let g = d + 25. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/12, 1\/2, -0.1 in decreasing order.\nAnswer: 1\/2, 1\/12, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*v**2 + 187*v**2 - 16*v**4 + 16*v**4 - v**4 + 1517 wrt v.\nAnswer: -4*v**3 + 472*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1373*p + 1378*p + 60 = 0, -2*o + 4*p = -126. Calculate the least common multiple of 40 and o.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) -0.14213 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -43. Let u be 7\/14 + 2750\/20. Suppose -3*r - u + 156 = 0. Calculate the greatest common divisor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 7 (b) -0.2 (c) -5 (d) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/448*8\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -2*q - u, -24 = -q - 5*u. Suppose -q*v = -9 - 31. Solve 2*b - 11 = -c, -5*b = 2*c - 36 + v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 0 + 0*u**3 + 1\/12*u**4 - 6*u**2. Let k(r) = 8*r. Determine s(k(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 426 - -11?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4700.5414 - 4695.54139988. Let a = -5 + m. What is a rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6*-9)\/(2237\/(-13422))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5297\/15 + 353. Let l(a) = -a**2 - 8*a - 3. Let b be l(-5). Let y be ((-12)\/(-81))\/(8\/b). Sort v, y, -3\/4 in decreasing order.\nAnswer: y, v, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 88722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2820 divided by -60\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/11 - 1335810*m\/11 + 2671612\/11 = 0. Calculate m.\nAnswer: 2, 667903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -2 + -15 + (19 - -4) + (0 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 151, 183, 225, 277?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0152 + -51.42?\nAnswer: -51.4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, r: 6}. What is prob of picking 3 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13313334 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24825.52 nanometers in micrometers?\nAnswer: 24.82552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c**3 - 100*c**3 - 64*c**3 - 30*c**3 - 28*c**3.\nAnswer: -292*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 50 = -3*l. Let g = l - 21. Solve c = -g*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 383, -13, -4, -6, 39 in increasing order.\nAnswer: -13, -6, -4, 4, 39, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32687860?\nAnswer: 2, 5, 1634393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m + 26*m + 24*m - 990. Calculate the highest common divisor of m and 2265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 135?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -60 + 12768\/266.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -17*v**2 + 1\/2*v**4 - 42*v + 10\/3*v**3 - 28. Find s, given that b(s) = 0.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 + a + 1. Let w(t) = t**3 + 5*t**2 + 4*t + 2. Let k be w(-4). Let b be p(k). Is -3\/14 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25078896 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Suppose -22 = -d*m - c - c, 5*m = -c + 26. Suppose -2*y - z - 4*z + 36 = 0, -2*y + m*z - 4 = 0. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/6 + (-21 - -28)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 - 4*d - 1. Let t(q) = 2*q**2 - q + 1. Let j(p) = -i(p) - 2*t(p). Let m be j(-6). Calculate the highest common factor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 463\/6 (b) 0.3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -944*w**2 - 2*w - 3026 + 1733 + 376*w**2 - 527*w**2 + 1978 wrt w.\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 3*t**2 - t - 1. Let z be u(-3). Suppose z*o = 4*o - 94. Factor 30*m**3 - 27*m**5 - 6*m - o*m**3 - 87*m**4 - 45*m**2 - 53*m**3 - 29*m**3.\nAnswer: -3*m*(m + 1)**3*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-131)\/(-3) + 5\/15. Let i be 5068\/c - 6\/33. Suppose -4*b - 2*d + 110 = 0, 2*b - i = -2*b - d. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 11*r + 5*l = -8804, 2*r = -2*l + 5896. Let v = 4306 - r. List the prime factors of v.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 458 + -302. Suppose 6*m = 2*m + w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 2*f. Let r(h) = -7*h + h**2 - 37*h**3 + 0*h + 1 + 34*h**3 + 3*h**2. Calculate 7*j(i) + 2*r(i).\nAnswer: i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.77 - -0.23. Let j = -16.63 + i. Let g = j + 27.33. Round g to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98560079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127599*i - p + 15 = 127597*i, 122 = -17*i + 3*p for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (99\/(-15))\/(-3) - 2. Which is the second biggest value? (a) 0.1 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7805 and 7805 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) + (sqrt(1200)*-1 - sqrt(1200))).\nAnswer: -sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 225100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7429 bigger than -68\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (15 - -43) + -32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 19. Suppose j*n - 4*n + 3 = 0. Suppose -n*i + 2078 + 685 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-15) - 2\/3. Let c = -1091\/10 + 109. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-220)\/(-35) - 4\/14. Suppose -z - 2 = -i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 13*o\/4 + 11\/2.\nAnswer: (o - 11)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7928*v**3 + 2*v**2 + 24*v + 22. What are the prime factors of x(-1)?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:54 PM?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3131 (base 4) to base 12.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82115 is divided by 16402?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(((-28)\/12)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 300*g**2 + 1676*g + 752. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:37 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389\/3255 - -3\/217. Let i = m - 44\/105. Let h = -4 - -9. Which is the biggest value? (a) -3 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvrrybb. What is prob of picking 1 b, 1 r, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.6. Let g = -32 - -63\/2. Suppose -109*w + o = -115*w - 32, 4*w - 4*o = -40. Which is the nearest to g? (a) w (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76 - -100 - -25) + 23\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**2 - 3*y**2 + y**2. Let v(t) be the first derivative of t**3\/3 - 180. Give h(v(f)).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 1.3. Let j be (-2)\/(-8) + 41\/(-4). Let o be (9\/30)\/(j\/50). What is the closest to b in -4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31405 is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose 3*d + 2*k - 4 + 0 = 0, 0 = 5*d - 5*k + 10. Let f = o - d. Calculate the least common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(121\/158752*-64).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2156*o**5 + 1932*o**4 - 7376*o**3 - 2800*o**2 + 5376*o + 1024 = 0?\nAnswer: -2, -1, -2\/11, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 792 + 499 + 2*s**2 in the form a + z*s**2 + o*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -0.3, 197 in descending order.\nAnswer: 197, -0.3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161604611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-114))\/(805545\/(-392445))\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1389898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:58 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 32 (c) -1\/7 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 - (7 - -2 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 17*a + 24. Solve -j + a = 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020021 (base 3) in base 14?\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10920 is divided by 342?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45505?\nAnswer: -45505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-570)\/(-228))\/(10\/2936) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 19*n + 89. Determine o(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -629*k - k**2 - 48 - 629*k + 1259*k as p*k**2 + o*k + j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -7. Suppose 0 = -4*q + 4, 7*r + 5*q + 2 = 8*r. Calculate the remainder when t is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - -43?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 54*x**3 + 48*x**2 - 105*x - 85. Calculate n(3).\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.44011 to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {u: 2, w: 1, h: 1, f: 4, j: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -17582299.\nAnswer: -3516459.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 1041113?\nAnswer: -1041142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 + 36*y**3 - 11*y - 15643.\nAnswer: -8*y**3 + 108*y**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 4*c + 852. Give v(-18).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 128 = 2*w. Let d be (-2)\/(-4)*-47*2. Let y = w - d. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -0.5 in descending order.\nAnswer: 5, 1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -2*sqrt(132) + sqrt(198)\/(sqrt(18)\/sqrt(3)))\/(1*-1*sqrt(11) - sqrt(44)\/sqrt(64)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 34 + 26 - 60.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 4:12 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.81958 + -0.11958. What is the biggest value in 5, -4.2, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1029 - -1087. Do z and 58 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 7*b**2 - 27*b - 136. What is the remainder when h(-8) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3149710 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/730 and -2\/2035.\nAnswer: 297110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 16012.\nAnswer: 16010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 31\/(-4). Let h = 1565 - 1562. Solve -n = -h*g - 8, -g - b = -2*n - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3 + 5*g**5 - 40*g**2 + 121 - 3*g**5 - 121 - 3*g**5 - 9*g wrt g?\nAnswer: -60*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 2160, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/48688 and -97\/7876?\nAnswer: 535568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krnkrrr. What is prob of picking 1 k and 2 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 241. Find the common denominator of (13\/312)\/((-4)\/m) and -65\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308\/(-32 + 18) + 15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 28. Let r be 1\/(-2)*(68 - 42). What is h(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 13 + (26 - 87).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9285?\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7023 - -53442?\nAnswer: 44417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:03 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)\/s**(-42))\/(s**22)**28)**(1\/43) assuming s is positive.\nAnswer: s**(-582\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -57*f**2 - 1712*f + 5577. Calculate r(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 105478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 12. Let t be o(9). Suppose d = -66 - t. Let j = -46 - d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -167297.\nAnswer: -4\/167297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 1. Let b be y(-2). Let l = -202605\/11 + 202602\/11. What is the nearest to b in -1, l, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 - 17*j - 3. Let k be c(-8). Let d(t) = -t + 15. Is 3 a factor of d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = -4*m, -5*c + 0 = 3*m - 5. Suppose 684 = -5*v + 7*v + c*g, -3*v + 1022 = 2*g. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 57 = 87. Let o = j - 8. Solve o*q + q = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 12*l + 4*b + 60, 12*l - 5*b - 75 = 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*6\/16*8. Suppose 0 = -4*w - 4*s, 2*w + 3*s + 5 = 3. Let o = q - w. Calculate the least common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 4. Let c(j) be the second derivative of -j**3\/6 - 5*j**2\/2 - 2*j. Let l be 2 - (-6)\/9*-9. Determine l*c(v) - 5*r(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90893192 - 56535580665\/622. Let w = r - -1\/311. Let o = -135 + 2711\/20. Find the common denominator of o and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52629, 105257, 157885, 210513, 263141, 315769?\nAnswer: 368397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1708*c + 5130*c - 1697*c - 1716*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**40*k**(-2\/5)\/k**(-2\/3) assuming k is positive.\nAnswer: k**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/2499 and -79\/8.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -85?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 2. Let p(v) = 4*v + 5. Suppose -42 = 14*r - 20*r. Suppose -t + 5*g + r = 0, -16 = -3*t + 5*t + 5*g. Give t*p(m) + 8*k(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/7)\/8*7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*c + 16*c + 15*c + (-2*c - 2*c + 0*c)*(9 - 2 + 4) to v*c + y and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c**4 + 611*c wrt c?\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/63*-3 + (10\/14 - 1). Solve x - r*k = -k, 4*x + k + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41229660*i**3 - 894*i - 9752?\nAnswer: -247377960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192) + -3 + sqrt(192) + 1 + 2)**2*5 - (-3*(1 + sqrt(192)) - (((sqrt(192) - sqrt(192)*-2) + sqrt(192) + sqrt(192))**2 + 2 + sqrt(192))).\nAnswer: 32*sqrt(3) + 13445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112.34 times -0.7583\nAnswer: -85.187422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7004376 to three dps.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*t*z**3 + 19*n**3*t*z**2 + n**2*t*z**2 - 15*n*t*z**3 + n*t*z + 3*z**3 wrt z.\nAnswer: 12*n**3*t - 90*n*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74276*f**2 - 20371 with respect to f.\nAnswer: 148552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/4 - d**4\/4 - d**3\/2 + d + 10. Let a(v) = v**3 + v**2 + v. Give 3*a(q) + j(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -439, 1, -5, -286 in descending order.\nAnswer: 1, -3, -5, -286, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/14024913 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 48*b**2 - 30*b**3 - 28*b**3 + 28*b**2 + 62*b**3 + 2*b to t*b**3 + u*b**2 + p*b + o and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*n + 15 + 2, 3*x - 14 = n. Suppose -2*b + x*t + 4525 = -0*t, 3*b - 2*t - 6760 = 0. Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 860448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(21\/14)*9*(-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u**2 - 3*u - 53*u**2 - 44*u**2 as g*u**2 + q + o*u and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003325229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 4 + (-7 - -1). Let p(k) = k - 4. Let w be p(5). Let r be w\/(-4) - 1\/(-4). Solve r = 2*v + h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/((z*z**6)\/z)))**(-2\/51)*z\/z**(2\/71)*z\/(z**(-14)\/z*z)*z)**(5\/6) assuming z is positive.\nAnswer: z**(302305\/21726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16544.3055 - 1.3055. Let i = 16543.050015 - w. Let y = 0.05 - i. Round y to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 3*l + l - 9*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3460 (base 10) to base 4\nAnswer: 312010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2357268878+-58\nAnswer: -2357268936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1069452 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*o - 2776 = -2740, 7*i - 2*o = 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s**2. Let t(k) = 781*k**2. Determine t(b(x)).\nAnswer: 94501*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17169656 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153, -237, -321?\n\"Answer: -84*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f + 14. Calculate the lowest common multiple of y(0) and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 156. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 42*h - 1. Let v be (-112)\/(-140) - (1 - 61\/5). Calculate u(v).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w + 40*w = -2*l - 1, 3 - 1 = 4*w - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 9*z**2 - 7*z + 10. Let o be p(-8). Sort o, -5, 119, -2, 4.\nAnswer: -5, -2, o, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 + 1011?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4267 and -1186145\/278 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 880256082 divided by 169737\nAnswer: 5186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3430 - 2792. Calculate the highest common divisor of 88 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**4 - 2*d**4 + 0*d**4)*(-20 + 76 + 7) - 39*d**2 + 39*d**2 + 29*d**4 as i*d**2 + w + t*d**4 + y*d**3 + p*d and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 621854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11602 and 3.5.\nAnswer: -40607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 8*s = 5*s + 228, -s - 146 = o - 5*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2279\/11545 - -6\/2309. Let a(n) be the second derivative of 3\/50*n**5 + 1\/50*n**6 + 0*n**2 + 12*n - p*n**3 - 1\/20*n**4 + 0. Factor a(y).\nAnswer: 3*y*(y - 1)*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tztzootto. Give prob of picking 2 t and 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 2*k**7\/105 + k**6\/5 + 8*k**5\/15 - k**4 - 6*k**3 - 327*k**2 + 2*k. Factor n(d).\nAnswer: 4*(d - 1)*(d + 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 114*k**2.\nAnswer: 3*k**2*(k - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-539)\/(-22). Suppose -2*w - 2*w - 247 = 5*b, 3*b = -9. Let k = v - w. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 4. Let h(s) = -3*s + 3. Let j = -15314 + 15308. Give j*h(r) + 4*a(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 14*u + 4. Give p(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11853 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + 2*p + 12. Let r be a(5). Let m = 29 - r. Suppose m = -2*b + 6*b. What is the greatest common factor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/36)\/(15\/45*(-4)\/372)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.074 or -0.4?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1208088134 and -0.431.\nAnswer: -1208088134.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6194 - -6219. Suppose 8 = -4*l, 0*l + 4*l = 5*i - 748. What is the remainder when i is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 50 = 5*y, -y + 2 = -2. Suppose -7*a - m - 7 = 0. Let t be a + 1\/(2\/6) - -11. Calculate the greatest common divisor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 197 = 199 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/211 or 1?\nAnswer: -6\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (1311 + -1305)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259 * -657.\nAnswer: -170163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -34134.55333 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (sqrt(153)*1 + sqrt(153))*6) - (sqrt(153) + 1)*2)**2 + -3.\nAnswer: -120*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 33*f - 34*f + 3 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + 2.2. What is the second smallest value in s, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 228, 532, 984, 1656, 2620, 3948?\n\"Answer: 12*z**3 + 2*z**2 + 214*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooopozpzozzpoipozp. What is prob of picking 1 i and 3 z?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -23?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206*l**2 + 25*l**6 + 436*l**3 - 18*l**6 + 26*l**3 - 5*l**6 + 63*l**2 wrt l.\nAnswer: 240*l**3 + 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/50 (b) -1\/4 (c) 2\/17 (d) -4.88 (e) -0.2 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 144 = -654. Let f(m) = 110*m + 53. Is f(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwsuszzizwszidszzswu. What is prob of sequence id?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 27.771 and -28.83651.\nAnswer: -1.06551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.062 in 3\/4, -3.8, 4, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*5 + sqrt(21)*1*-6)\/((sqrt(3) + (sqrt(33) - (sqrt(33) + sqrt(33)*2))\/sqrt(11))*5).\nAnswer: -14*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkglkkkgll. What is prob of sequence lk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Suppose -12*n + 53 + 79 = 0. Suppose -n*h - 2 = -9*h. Put 0, h, 1, z in ascending order.\nAnswer: z, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a0 - -8?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32495461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*u**5 - 4*i*u**2 + 2*i*u + 447*u**5 - 64*u wrt u.\nAnswer: 120*i*u**2 + 26820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 16*i + 22. Let t(k) = 6*k**2 + 4*k - 1. Let h be t(-2). Let a be o(h). Calculate the greatest common factor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/6 - (8\/18 + 180\/810). Sort 6, -16, o in decreasing order.\nAnswer: 6, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**4 - 64. Let j(x) = -x**4 - 1. Let h(i) = -g(i) - 3*j(i). Find the first derivative of h(m) wrt m.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 10*w**2 - 11*w - 13. Let g be v(-9). Suppose 5*d = 2*i - 4, 8 = g*i - 2*d - 2. Factor -2*r**2 + 2 + 2 + r + r**i - 2.\nAnswer: -(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*y + 9*y - 30, 12 = -4*w - 4*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207999963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -29557?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/(3\/((-9)\/3)). Let o = b - -104. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.13 + 0.13. Let i = -5.4 - q. Let v = -0.2 - i. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 + 16698*f**2 + 38403753*f + 38387052 = 0 for f.\nAnswer: -1749, -1, 7316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10536, -10526, -10494, -10434, -10340?\nAnswer: -10206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 3. Let t(z) = -9*z + 7. Let o(w) = -5*h(w) + 2*t(w). Let n be o(1). Suppose -n = 2*d - 7. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.3 - -14. Let k = 151205 + -151206.30034. Let t = r - k. What is t rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 4, -5, -33 in decreasing order.\nAnswer: 4, -1, -5, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22619 + 120310459\/5319. Let w = -20681\/10638 + c. What is the common denominator of -1 + 1 - 34\/(-32) and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -28. Let n = -74 - -74. Suppose n*f + 5*f = 5*u + 15, u + 23 = 5*f. Solve w*a = -8, u*r + 0*r = -5*a - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 6, i: 5, z: 2, j: 1, r: 3}. What is prob of sequence rz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -37. Calculate the common denominator of 13\/16 and ((-6)\/(-27))\/(p\/393).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*v + 2*n + 36, -v - 3*n - 16 = 0. Let o be ((-136)\/(-24) + v)*3*-28. What is the greatest common divisor of o and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -19*q - 7*q. Suppose 4*n - 2*h = -9 + 21, q*n + h - 2 = 0. Solve -n*v = 10 - 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286611072 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242774510?\nAnswer: 2, 5, 11, 61, 97, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 30 = -4*u. Let f be ((-84)\/18)\/(4\/u). Let p = f - -3. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Let m(f) = -f. Let p(c) = -5*m(c) - 2*t(c). Let x(n) = -2*n**2 + 18*n. What is x(p(g))?\nAnswer: -2*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2019, 2017, 2015?\nAnswer: 2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-3\/10)*s)*s\/(s\/((s*s**(-1\/3))\/s))*s)\/((s*s**(1\/9))\/(s\/(s*s*s*s**4*s*s)*s)) assuming s is positive.\nAnswer: s**(-643\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (-1 - (-2 - -2)). Suppose 5*l - 11 = 4*v - 3, -2*v + 3*l = z. List the prime factors of (1\/v)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -25. What is the third derivative of 20*c**2 - 3*c**2 + y*c**5 - 13*c**5 + 11*c**6 wrt c?\nAnswer: 1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 753597?\nAnswer: 3014388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(80\/(-50)))\/(0 - 1\/2). Which is the closest to 0? (a) 0.09 (b) 3 (c) j (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 358*p - 469. Give z(118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -49. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (94 + -115 + 36)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u + 1. Let i(g) = 5*g**2 + 6*g + 2. Let p(j) = -i(j) + 4*x(j). Suppose 2*k = -3*k - 15. Calculate p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = -1. Let x be (10\/3)\/(c\/(-105)). Suppose 2*n - 75 = -n. What is the greatest common divisor of n and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14784\/2955 - (30 - 25))\/(15\/50)*-1.\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1195 in descending order.\nAnswer: 1195, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {z: 1, m: 13, c: 3, b: 1, e: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + v**2 + v + 1. Let m be c(-1). Let u be 4 + -3 + m - 1. Let -2\/7 + 2\/7*f**2 + 8\/7*f - 8\/7*f**u = 0. What is f?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 + 0 = 0. Suppose w*c = 13 + 23. Let b be 3\/(-3 + c\/4). Solve -2*t + 0*t + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/4 - (-858 + 0 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272))**2 + sqrt(272) + sqrt(17) - (sqrt(17) + (2*sqrt(170))\/sqrt(10))**2.\nAnswer: 5*sqrt(17) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(19) - -1*sqrt(19))*-4)**2 + 2)*5.\nAnswer: -12180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5550596\/7 + -792942. Let -t*h**3 + 4\/7*h**4 + 0*h - 2\/7*h**5 + 0*h**2 + 0 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*w - 35*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308305957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.12673 to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 788563*a**2*b**2*p**2 + 40*a**2*b*w + 302*a*b**2*p**2*w - 94*a*w - 2*b**2*p*w - b*p**2*w + 4*b*p**2 - 13*b*w wrt a.\nAnswer: 1577126*b**2*p**2 + 80*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -932 - -1777\/2. Let k = u + 45. Let h be 1\/3 + (-5)\/33. Which is the closest to -2\/5? (a) h (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 3 - 4643*p.\nAnswer: -4643*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:47 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -146*b**3\/3 + 33*b**2\/2 - 91*b. What are the prime factors of r(-3)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 0*c + 2*c + (-69 - 54 - 29)*(2*c - 2*c + c)*(0 + 1 - 2).\nAnswer: 155*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*l = -3, -3*z + 5 = -l - 4*l. Let c(n) = 2*n**3 - 8*n**2 + 4*n + 1. What is the remainder when c(z) is divided by 145\/(-725) + 182\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = t + 7, t + 23 = 4*w. Let k(v) = -v**2 - 5*v - 3. Let l be k(t). Solve l*j = 3*s, 15 + 9 = -4*s - 2*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/(-8)*(-16)\/(-20)*4\/(-32). Which is the closest to g? (a) 2\/9 (b) -2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2582.056174 to one decimal place.\nAnswer: -2582.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 8 = 0. Suppose -4*f - p = -27, 0 = m*f + 3*p - 10 - 15. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 2, u: 7, l: 1, m: 4}. What is prob of picking 2 m, 1 y, and 1 u?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 12*s = -5*r - 65, 30 = 3*r - 3*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by (4 + 147\/(-12))\/(1\/(-4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 23*g**3\/6 - 33*g**2 + 86*g + 64. Let s(y) be the first derivative of l(y). What is the first derivative of s(j) wrt j?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2056 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-60))\/((-1)\/3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2 + 7 - 1 - 8 - 42*s. Let f(w) = 34*w. Calculate t(f(k)).\nAnswer: -1428*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8 - 0 - (25 + -25)) + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52514551?\nAnswer: 52514551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 49255236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1076 - -4148. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*j + 11, -3*j - 3*i - 11 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176.9 + -142.9. Which is the closest to -1\/3? (a) o (b) 4 (c) 2\/7 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 57826.09ng to kilograms.\nAnswer: 0.00000005782609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 409102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35016, -35029, -35042, -35055, -35068?\n\"Answer: -13*l - 35003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 6*g**2 - 2259*g - 6773. Determine d(-3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -23*k**2 + 169*k + 280. Give z(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3 + 3. Suppose -y = 3*f + 15, 2*f + t = -4*y + 2*y. Let q(i) = i**2 + 2*i - 6. Let l be q(f). What is the greatest common divisor of l and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + (-3 + 2 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) - ((-18)\/22 + 1). Let s be (12\/(-54))\/(2\/21) - -2. Which is the closest to 1\/5? (a) 0.3 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*z = -71260962, -5*z + 25805176 = 3*l - 16951414. Let m = l + -5852190. Round m to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 361 and -519.\nAnswer: -187359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -370*r**3 + 3*r**2 - 3*r. Let v be f(-3). Suppose -14*z = -5*z - v. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-3 + -4) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + 11 + (73 - (32 + 47))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(26)\/sqrt(2) - (sqrt(13) + sqrt(78)\/sqrt(6)*-6).\nAnswer: 3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 6*p = 5*w - 21, 3*p - 12 = -3*w. Solve 5*f = 3*k + 18 + 22, -4*k + 5 = w*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58)\/(-14) + -4 + (-135)\/(-35). Suppose -j*n + 1930 = 2*r - 2*n, n = 5*r - 4837. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f + 23. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(-1 + (-3*(-2 + sqrt(612)))**2 + sqrt(612) - (-4 + (sqrt(612) - (sqrt(612) + 1 + (sqrt(612)*2)**2 - sqrt(612))))).\nAnswer: -1080*sqrt(17) + 39980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 0 - f**3 - 1\/3*f**5 + f**4 + 1\/3*f**2 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576\/432*(-36)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.05, -389?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.82 - 2.84916890049.\nAnswer: -1.02916890049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/20 - (-1)\/(40\/264). Let p(n) be the third derivative of 7*n**2 - 2\/105*n**7 + 1\/30*n**h + 0*n + 0*n**3 - 1\/6*n**4 + 1\/15*n**5 + 0. Factor p(b).\nAnswer: -4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427 a factor of 176903175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-8 - (0 - 7)) - -12 - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42117408*t**2 + 100115306 with respect to t.\nAnswer: -84234816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 26*a**2 - 167*a - 175. Determine x(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 + y. Let c(q) = -213*q**5 + 6*q**3 - 35*q**2 - 6*q - 2. Let r(n) = -c(n) - 6*k(n). What is the third derivative of r(s) wrt s?\nAnswer: 12780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*m - 27 = 0. Let j(q) = -61*q + 431. Let w be j(7). What is the third biggest value in m, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -360?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22116 + 155114\/7. Let s be 24\/(-60) - (-5893)\/140. Let q = s - l. Find the common denominator of -65\/14 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3534.018us to seconds.\nAnswer: 0.003534018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 473*h**7\/105 - 5*h**4\/12 - 10*h**3\/3 + 2120*h**2. What is the second derivative of x(z) wrt z?\nAnswer: 11352*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**2 - 18*u**2 + 6*u**2)*(0*u**2 - u**2 - 3*u**2) as c*u + v*u**4 + p*u**3 + y*u**2 + b and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2023, 17687, 60055, 142471, 278279?\nAnswer: 480823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458 - 315. Let i(z) = 44*z + b*z - 32*z + 82*z + 35*z. Let v(y) = -2*y**2. Determine v(i(h)).\nAnswer: -147968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79999 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3012977250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6669750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38318, -38330, -38366, -38438, -38558, -38738, -38990, -39326?\n\"Answer: -2*m**3 + 2*m - 38318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgbggtbbgbbtbb. Give prob of sequence bgtt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*d + 6*d + 9 = 0, 4*m + 42 = 2*d. Let x be 4*6*404\/(-16). Does 19 divide x\/(-8) - 2\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m + 448 = -947. What is the closest to m in -2\/3, 3\/2, 5, -2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z + 89 - 32 - 27 - 18 - 15. Let j(g) = 2*g + 1. Give -11*j(f) - 4*y(f).\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 5, s: 13}. What is prob of sequence lsk?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26*(3 - 3\/2). Let h(p) = 6*p - 13. Let g(v) = v - 2. What is c*g(m) - 6*h(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16658770 divided by 10?\nAnswer: -1665877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*u + 88*u - 5*f + 4*f - 1034 = 0, 3*u + f = -0*u + 23 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580940 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63754493?\nAnswer: 11, 2357, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-13\/3))*z*z*z\/(z*z**(-9)))\/(z**(2\/3)\/z)**(1\/7) assuming z is positive.\nAnswer: z**(323\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**3 - 5*l**2 + 11*l - 9. Let z(f) = -3*f**3 - f**2 + 3*f - 2. Calculate -2*n(h) + 9*z(h).\nAnswer: -h**3 + h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(21) - (sqrt(21) + sqrt(21) + sqrt(84)*2))) + (sqrt(21) + sqrt(21)*5 - sqrt(21))*-4)\/((sqrt(150)\/(sqrt(20)\/sqrt(4)))\/(sqrt(160)*1)).\nAnswer: -56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z - 26*z**3 + 39*z**3 - 11*z**3 - 4*z - 10*z.\nAnswer: 2*z**3 - 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -79. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -928, -924, -918, -910, -900, -888?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/6 - u**3\/2 - 5*u**2. Is l(-10) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(960) - -2*sqrt(960)) + sqrt(960) + sqrt(960))\/((sqrt(90)\/sqrt(6))\/sqrt(3) + 4*sqrt(5)*-2).\nAnswer: 80*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 - 3*k**2 - 4 + 0 - 5*k**3 wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274616.703 rounded to the nearest 10?\nAnswer: 274620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + 1\/15*p**6 + 0*p**5 + 1\/3*p**4 + 0*p**3 + 7*p + 0*p**2. Find the third derivative of j(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 + 4 = -z, -5*z - 5*j = 25. Suppose z = 14*a - 4050 - 2530. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1001.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.25 + 42.65. Round v to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2\/3*v**3 - 3 + 2*v + 2*v**2. Factor w(h).\nAnswer: 2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*n**2 + 80*n**2 - 48*n - 4*n**4 + 148*n**2 - 483*n**2 - 56*n**3.\nAnswer: -4*n*(n + 1)**2*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 + 16 + -1 + -1 + 1. Suppose -j + d + 2 = 4*d, -12 = -3*j - s*d. Solve -j*m - 11 + 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 3*y**4 + 2*y**2 - 5 - y + 4 in the form k*y**2 + v*y + w*y**3 + j + o*y**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 815 = 3*y - 5*o, -4*o + 806 = 2*y + y. Find the common denominator of 16\/7 and y\/35*(-2)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 4*r + 2*r)*(-2 + 6 + 2)*(-43*r + 46*r + 55*r).\nAnswer: -1392*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + r + 3*r)*(-3*r - 2 + 2) as z*r + v*r**2 + s and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -40. Suppose 3*p - l = -2*r - 10, -r = p - 5. What is the common denominator of -97\/14 and 444\/88 + r + -7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24944780 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.966, 0, -1, 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*r - 73*r - 72*r - 63*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -137, -203, -295, -413?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35197, 35174, 35151, 35128?\nAnswer: 35105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -94416, -94385, -94356, -94335, -94328, -94341, -94380?\n\"Answer: -v**3 + 5*v**2 + 23*v - 94443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48805761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(18*1\/(-252)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h - u + 3*u, 4*h + 3*u - 21 = 0. Let p(q) = -h*q - 4*q + 1 + 0. Is p(-1) 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 6180 and 55?\nAnswer: 67980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/5)*p**1*(p*p**(-4\/7))\/(p\/((p\/(p\/(p\/(p**(1\/3)\/p))))\/p)) assuming p is positive.\nAnswer: p**(199\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (-4*1*sqrt(99) + 3 + sqrt(99) + sqrt(99)*-2 + -4)**2)*1.\nAnswer: 180*sqrt(11) + 14874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -51, -67, -101, -159?\n\"Answer: -b**3 + 3*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4071660292.\nAnswer: 2, 7, 2137, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y**2 + 0*y**2 + 0*y**2)*(2*y + 2 + 18*y - 12*y) as b*y + q + v*y**2 + d*y**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a637 - -12b?\nAnswer: -23a50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 91952610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -2)*4\/(-2). Solve 2 = -5*f + 3*p, -2*f - 5*p = z + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**15*d*d**(-3\/2))\/((d\/(d*d*d**21))\/d**(-6)) assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose 2*c + 90 - 2804 = 4*l, -5448 = -a*c - 2*l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 9. Let t be h(6). Suppose -4*l - 20 = -t*l. Calculate the remainder when 14*(-2)\/4*-1 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 52 = -70*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*27\/(-90)*(-2070)\/81\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76b6 (base 14) to base 15\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i**2 + 16. Let f(t) = -43*t**2. What is o(f(d))?\nAnswer: 27735*d**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 13) to base 15\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2 + 2*w**2 - 9 + 91 - 10*w - 69. What is l(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3159721 + -19?\nAnswer: -3159740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -9675*o + 9680*o + 3*y, 5*y + 7 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:22 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 2*d + 6. Let p be y(3). Suppose c = -2*l - 6 + 7, -5*l = 3*c - 3. Sort p, 5, c.\nAnswer: c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4045626*d*u**2 + 2*d*u + 3*d + 85633*u - 9 wrt u.\nAnswer: -8091252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 1. Let a(h) = 59*h**2 - 2*h - 18. Let v(b) = a(b) - 2*d(b). Is v(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-1020)*(9 + -4 - 214\/44)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -562*b**5 - 6*b**2 - 8*b**4 - 12*b**3 - 2*b + 560*b**5 - 2*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 22511024?\nAnswer: 1\/11255512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t + 3. Let a(y) = -23*y + 8. Give -2*a(c) + 7*f(c).\nAnswer: -3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7288, 7279, 7256, 7213, 7144, 7043, 6904, 6721?\nAnswer: 6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -165309 (base 12) in base 7?\nAnswer: -3151443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/68*36\/(-168).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1401 + 2?\nAnswer: -1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**3 - 11*v**2 + 22390*v - 143274 wrt v?\nAnswer: -3*v**2 - 22*v + 22390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1596 and 12180?\nAnswer: 231420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -53, -2\/7, -0.242?\nAnswer: -0.242","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 7*f - 56294 = 137554. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 9*m**2 + 8*m. Let p be l(8). Suppose 2*s = -6 - p. Let n be (-2)\/4 - (-3 + 2). Which is the second biggest value? (a) -2\/11 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mebebsibmrrisbe. What is prob of picking 1 e, 1 m, 1 i, and 1 r?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 - 50 - (1 - 837\/117). Factor 6\/13*q**3 + 0*q + p*q**4 + 0*q**2 + 0.\nAnswer: 2*q**3*(q + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 28 = a + 8, 0 = -4*a + 2*z + 50. Calculate the remainder when 27 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -20, -7*g + 2*g = 4*u - 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) -6\/19 (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - 3*k**2 + 4*k**2)*(2 + 2 - 2) + (-2*k**2 + 0*k**2 + 0*k**2)*(-3 + 4 - 2) - 1 + 1 + 2*k**2 - 3*k + 3*k**2 + 3*k as t*k + o*k**2 + r and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 18*r + 4*h = 1590, 0 = 4*r + 2*h - 3186. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and -23.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 - -439. Suppose 3*y = 5*l + 522 + 59, 0 = y + 2*l - p. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/5)\/((u**1\/u*u)\/u*u))\/(u**4*u*u**(-7)*u))**(10\/3) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 2, r: 1, d: 1, o: 2, t: 1}. Give prob of sequence rdt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 544, -2\/21, -1\/11, -2, 0.08, 1, -0.07?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6667317 decades to centuries.\nAnswer: 0.06667317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130488 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/5 - 31*t**3\/6 - 32*t. Find the second derivative of s(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -168*y + 0 + 3\/4*y**2 = 0.\nAnswer: 0, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 32 = -3*g. Let y be (4\/g)\/((-3)\/(-18)). Find w such that -3*w**2 + w**2 + w**2 - 1 - y*w + w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 169139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*(16 + -2). Let y be c\/(-15)*20 + 4\/(-6). Let q = y + -20. Calculate the greatest common factor of 91 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 96906.66 kilograms?\nAnswer: 96.90666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-132)\/(-33) + 0*(-2)\/4. Which is the closest to 1? (a) 13 (b) -1\/8 (c) t (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/7 - 17454*y**4\/7 - 51303228*y**3\/7 - 7471161368*y**2 - 4433894068272*y\/7.\nAnswer: -2*y*(y + 93)*(y + 2878)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15872 and 1116.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8859502 and 4.\nAnswer: -35438008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 633.\nAnswer: 8229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8109 - 2.1891. Sort 75, 0.5, -1\/2, p.\nAnswer: p, -1\/2, 0.5, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 - 17*r**2 - 355*r - 9. Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 91086?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 4 - 9*q**2 + q**2 - 2*q as r*q + y*q**2 + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i*i**(3\/8))\/(i**(-3)*i**(-3)))\/(i**(-1)\/i*i**(3\/4)*i**(3\/2)\/(i\/((i*i\/(i\/(i**(1\/3)\/i)))\/i*i))) assuming i is positive.\nAnswer: i**(139\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 0.7, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67655.13 nanograms to tonnes.\nAnswer: 0.00000000006765513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -3?\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/6 + f**4\/6 + f**3\/15 + 11*f**2\/2 + 24*f. Let g(p) be the first derivative of j(p). Determine z, given that g(z) = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 36508871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -905*c + 8. Let l(h) = 301*h - 3. Determine -3*j(x) - 8*l(x).\nAnswer: 307*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 867?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 809*x**2 - 397*x**2 + 6 - x**3 - 408*x**2 + 963*x - 5 to the form c + o*x + i*x**3 + w*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 423766031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*r - 46 - 86 = 0, -2*r = -2*g + 40. Suppose -3*h + g = 3*s, h = 5*s - 21 - 1. Solve 4*p = 4*w - h + 19, -2*p = -5*w - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5698, -11392, -17086, -22780, -28474, -34168?\n\"Answer: -5694*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*w = -32, -2*n - n = 4*w - 20. Suppose 3*i = 5*v - 17, -3*v + 5*i + 3 = -4. Suppose v*y - n = y. Solve l + l - y = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = 3*a + 84, -3*l - 24 = a. Let o be 13\/6 + 5\/a. Factor o*h**4 + 2 - 7*h**3 - 4*h**2 + 19*h**5 - 17*h**5 + 3*h**3 + 2*h.\nAnswer: 2*(h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30661057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/(-9) - 18\/27. Let l(t) = -t**3 - 6*t**2 + 3*t + 3. Let z be l(-6). List the prime factors of (z + -1)*p\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -368.\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(1\/28))**(-1\/3)\/(((y**(1\/5)*y)\/(y*y**(-5\/2)))\/(y**(-1))**(17\/6)) assuming y is positive.\nAnswer: y**(-2329\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3405, -3410, -3419, -3432, -3449?\n\"Answer: -2*i**2 + i - 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80672, -160670, -240668, -320666, -400664, -480662?\n\"Answer: -79998*u - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-23)\/(-69))\/((-2)\/66). Suppose 5*a - 13 = 12. Let x = 18 - 20. What is the third smallest value in b, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2707 = 3*h, h + 2*f = -331 + 1240. Suppose 4*w = 3*c + 124 + h, 258 = w + c. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 + o**2 + 3*o**2 - 3*o**2 - 4*o. Is g(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - k + 1. Let m(v) = -27*v**3 - 18*v**2 - 36*v + 18. Let p(t) = m(t) - 18*y(t). Find the second derivative of p(d) wrt d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -8 - (46 - (40 + -5))) + 3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 43 - f**2 - 39 + 124 + 233*f to the form h*f + i*f**2 + c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 31.9. What is n rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrclrccrlll. What is prob of sequence rll?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.987 + -27. Let j = t + -71.987. Let r = -64.3 - j. What is r rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.4 and -6.7647.\nAnswer: -12.1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 1\/570*r**5 - 22\/57*r**3 + 7\/76*r**4 + 0 + 0*r - 176*r**2. Factor i(h).\nAnswer: 2*(h - 1)*(h + 22)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*o + 9, b - 46*o + 1 = -44*o. Suppose -3*s - 3*k = -24, b*s - k - 18 = -6*k. Calculate the remainder when 680 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 536180.463 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -38*w**2 - 5*w + 5. Let n(m) = -215*m**2 - 296*m**2 - 231*m**2 + 98 - 98*m. Let g(b) = 98*h(b) - 5*n(b). Let d(y) = -5*y. What is d(g(r))?\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:40 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/16 + (-182)\/4. Let l be (i\/(-8))\/11*(-2 - -2). Suppose -4*j - p + 18 = 0, 4*j = -l*p - 2*p + 16. Solve 2*s + 7 = -3*k + 3*s, 5*s - 25 = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/546 and 95\/12194.\nAnswer: 36582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-192)*4)\/(4\/((-32)\/4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - y)*(-8*y + 35 - 35) + (3*y**2 - 4*y**2 + 0*y**2)*(3 - 1 - 3) - 4*y**2 + 2*y**2 + 3*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 1741 in decreasing order.\nAnswer: 1741, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 112*m - 1004. Let t be s(9). Which is the closest to 8.3? (a) 1 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 - 3 = 0. Let u be (o - -1*6)\/((-4)\/12). Calculate the remainder when 101 is divided by u\/((-20)\/(-4)) - -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 6. Let f(c) = c**2 + 5*c - 10. Let h be f(z). Solve -11 = -a + h*s + 1, -3*s = a + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 - 21*c**3 + 33*c**2 - 15*c = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose 0 = -5*b - r*b + 10. Suppose 0 = -t + 4*x + 6, -b*t + 3*x - x = -12. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08 plus 14?\nAnswer: 11.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:06 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -2\/21, 2\/33?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**5 + 147*j**4 - 1734*j?\nAnswer: -20*j**3 + 1764*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1233202?\nAnswer: -1233204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and -3.43?\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 + 11*r**2 - 4*r**2 in the form m*r**2 + z + w*r and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3. Let o be h(1). Suppose -p + 4 = -o*u - 3, 10 = -5*u. What is the smallest common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77894 - 5920043\/76. Let r = h + 20\/19. Let q = 0 - 5. What is the closest to -1\/4 in r, q, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1142*b**3*c**2*f**2*o + 89*b**3*c**2*f - b**2*c**2*f**2 - 111*b**2*f - b*c**2*f**2*o + 3005*c**2*f*o wrt b?\nAnswer: -6852*c**2*f**2*o + 534*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9051*d + 144 = 9033*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26997, -53998, -81013, -108042, -135085, -162142?\nAnswer: -189213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63\/45 + 76\/10 + 116 is divided by 57.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*(((f\/f**(-14))\/f)\/f)\/f)**(-18)\/((f*(f*f**1)\/f*f)**(-1\/12)\/(f**(-2\/3))**(-19)) assuming f is positive.\nAnswer: f**(-709\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -80*c - 524. Give l(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14941 or 14943?\nAnswer: 14941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17 + 3*j - 4*j - 14. Let o be z(8). Let r be 5 - (o + 1 + 6). Solve -n = -6*k + r*k + 3, 5*k - 5 = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615487229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 886215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 209, 456, 801?\n\"Answer: 49*l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 50728\/(-2822) - -24?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -34 - 24 - 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 35. Let g(v) = 125*v. Determine g(x(u)).\nAnswer: -125*u + 4375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11395288 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000248592 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 2*l - 2*d, -5*d = -25. Let r = 6 - 6. Suppose -t + r = -10. Calculate the lowest common multiple of l and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (-34 - -37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*j**2 + 0 - 5*j.\nAnswer: j*(j - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.065 + -1.065. Which is the second smallest value? (a) 0.22 (b) -1\/6 (c) i (d) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/11693?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*f - 7*f. Let i = 16 + f. Suppose -196 = i*x - 8*x. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxccxxccccc. What is prob of sequence cx?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(2*x + 0*x + x + (-1 + x + 1)*(6 - 6 - 3) - 2 + x + 2).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u - 2*b, -2*u + 5*b = -10 - 20. Let c(n) = n - 1. Let k be c(u). Suppose -4*s + 188 = 3*h, k*s = -0*h + 4*h + 188. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k - 21. Let v = -27 + 27. Let x be p(v). What is the tens digit of 4\/6*(63 - x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.1. Let l = 51.9 + -55. Let k = -3 - l. What is the third smallest value in k, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001111100000 (base 2) in base 11?\nAnswer: -a7760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7729574*s**3 + 2*s**2 + 15*s - 263997809?\nAnswer: -23188722*s**2 + 4*s + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 3\/7 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 13*o + 4. Let j = o - 16. Which is smaller: j or -13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 31 + 83 = 0. Let w(r) = -16*r**2 - 6*r - 6. Let a(t) = -15*t**2 - 5*t - 5. Let q = 220 - 215. Give n*a(d) + q*w(d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(2 + sqrt(24)\/sqrt(2)) + sqrt(36)\/(sqrt(75)*-2 + sqrt(75)))**2.\nAnswer: 36*sqrt(3) + 1597\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**4\/8 + o**3\/3 - o**2. Let s(p) = -7*p + 5. Let v = -375 + 360. Calculate v*z(t) + 6*s(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 118 = 2*r - n, n = -2*r + 243. Suppose -r + 25 = -5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*y = 8, 12979*n - 3*y + 14 = 12983*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p + 86. Let y be h(-18). Is 2129\/2*y\/8*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*1 - sqrt(117))*6)\/sqrt(9)*2)**2*4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h. Let k be 160\/25*(-3 - 2). Let y = -11 - k. Calculate the least common multiple of y and j(-1).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*z - 137825 = -10*u, 0 = 4*u - 5*z - 183782. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - -4.96. Let x = 5.3 - u. Let i be (29\/9 - 3)\/(-2). Put x, i, -3 in descending order.\nAnswer: x, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29370864 divided by -13254?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11*((-16)\/88)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21865 + 24205. What is the least common multiple of 325 and r?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u + 11. Let i be z(-9). Let b(j) be the first derivative of 2 + 0*j - 1\/2*j**i. Let w(n) = 1. Give -b(g) + 2*w(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150 divided by 12.\nAnswer: -575\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1826636755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i**4\/7 - 18290*i**3\/7 - 906252*i**2\/7 - 2695878*i\/7 - 424224\/7 = 0. What is i?\nAnswer: -1473, -48, -3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3503728 or 3503726?\nAnswer: 3503728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 83*h - 29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:40 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:06 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3707 = 1355*m + 51132 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 41. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10803506, -10803502, -10803496, -10803488, -10803478, -10803466, -10803452?\n\"Answer: u**2 + u - 10803508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let x be (4 - 2)\/2 - -1. Suppose 0 = -2*l + x. Let z(m) = 4*m + 4. Give l*z(w) - 6*b(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/253? (a) -4 (b) 36\/43 (c) 6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38086 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 - 145 + 40*j in the form o*j + n and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let z(h) = 268*h**3 + 12*h**2 + 2*h + 310. Let w(r) = 12*c(r) - z(r). Find the first derivative of w(x) wrt x.\nAnswer: -804*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007372 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -4.8 (c) -5 (d) 3\/34 (e) -1 (f) 1\/10 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 316760.2 to the nearest 1000.\nAnswer: 317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**21*w**3\/w assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -75, -69, -97, -171, -303?\n\"Answer: -2*l**3 + l**2 + 39*l - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 119 + 47 + 2*o.\nAnswer: 2*o + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 213438 - 213438. Let o(g) = -9*g. What is o(i(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:51 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6424090 and -53\/6.\nAnswer: 19272270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8061?\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 + 11*x - 94. What are the prime factors of v(9)?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -775683, -775684, -775685, -775686, -775687, -775688?\n\"Answer: -k - 775682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139 * -5.38334.\nAnswer: 748.28426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = 3*r + 4, -k + 1 = 0. Let a(l) = l**2 - r*l**2 + l**2 + 2*l**2. Let i(h) = 5*h. Let q(b) = -4*b. Let s(d) = -3*i(d) - 4*q(d). Give s(a(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 9*n**2 - 8*n - 1. Suppose 22 + 50 = 9*l. Calculate o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(30\/(-8))*-3. Let r = -6 - -6.06. Which is the nearest to 0.1? (a) 2 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -545 - -599. Calculate the highest common divisor of 1458 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let j(k) = -a - 3*k + 7*k - 4. Let l(y) = y - 1. Let g(r) = r**3 + 6*r**2 + 4*r - 6. Let f be g(-5). Give f*j(q) + 5*l(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s - 3. Let y(v) = 7*v - 1. Let a(g) = 3*b(g) - 5*y(g). Let o(w) = w - 3. Give -5*a(k) + 4*o(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2416 - 2426. Is 42 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320.961 milliseconds in nanoseconds?\nAnswer: 4320961000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 2*r + 1. Let a(t) = 55*t**2 + 9*t - 5. Determine -a(d) - 5*q(d).\nAnswer: -50*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2. Let m(s) be the second derivative of -7*s + 0*s**2 + 0 - 1\/3*s**3. Determine m(v(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2092091)\/(-74) + -3*(-35)\/30. What is r rounded to the nearest one hundred?\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:10 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/2, -1.3, -0.3, -2\/91, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3315, 6882, 10453, 14028, 17607?\nAnswer: 21190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*i*t*u**2 + i*u**3 + i - t*u**3 - 85*t*u**2 + 3*u**3 wrt i?\nAnswer: 229*t*u**2 + u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 36. Suppose o = -3*o + 60. Let q = o + 3. What is the lowest common multiple of l and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*o + 5*d, -5*d = -755*o + 754*o + 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:12 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.765 (b) -4 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -1.09. Let i = -0.1900046 + l. Round i to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57159 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*m - 3. Is (-3 + m\/1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 895239 and 665199?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 3*r + 2*r)*(31*r + 15*r + 7*r) + (-2*r**2 + 0*r**2 + 4*r**2)*(-6 + 3 + 1) as o*r**2 + w*r + j and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1\/(-2)*-10 + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 8524208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 143. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449*f + 146 - 102*f - 295 - 290 + 130*f wrt f.\nAnswer: 477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3846*y**3\/19 + 8414*y**2\/19 - 5290*y\/19 + 38 = 0.\nAnswer: 361\/1923, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 - 12582956*q - 12582960 = 0?\nAnswer: -1, 3145740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, y: 5, d: 5}. What is prob of sequence dbbb?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504232104 by -6.\nAnswer: -84038684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 90 = 3*d, -4*c + 24 - 4 = 0. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -91. Let s = m + -41. Calculate the highest common divisor of 9 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59841487 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113 - 210a?\nAnswer: -1aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -155*b + 11004. Determine c(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -5*s**4\/8 - 13*s**3\/2 - 471*s**2. Calculate v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79989.18 litres?\nAnswer: 79989180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -223179.\nAnswer: 2\/223179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-12 - (-6 - -3). Let y(q) = q + 26. Let j be y(x). Let a(m) = -m**2 + 4*m + 6. Determine a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*a - 21 + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*x = 5*z - 478, -6196 + 6362 = 2*x - 4*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 216, 352, 680, 1194, 1888, 2756, 3792?\n\"Answer: -p**3 + 102*p**2 - 163*p + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f - 192*f + 125*f + 6*f.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.194052 + 35.89399. Let a = 0.073 + -3.773. Let g = a + u. Round g to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**1\/h)\/h)\/h))**(-30))**(-2\/11)*h**(2\/19)*h**4*(h\/h**0)\/h*h\/h**(3\/8) assuming h is positive.\nAnswer: h**(26149\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142675943 by -3.\nAnswer: -142675943\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 + -8 - -5)) + (-9 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91759488 rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 999 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -16 - 14 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 1. Let y(t) = -7*t - 4. What is 2*c(f) - y(f)?\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 + 1. Suppose o + 22 = 5*v, 4*o - v = -0*v + 7. Let n(s) = -2 + o - 5*s**2 + 0*s**2. Let q(r) = 3*m(r) - 4*n(r). Differentiate q(d) wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65111028863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-23)\/46)\/((-2)\/6))\/((-51)\/544)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3278 + -3278.000013685. Round b to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143006063*t**4 + 111191112.\nAnswer: -572024252*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**3 + 7*i**2 - 9*i - 127. Let n(k) = -8*k**3 - 4*k**2 + 5*k + 63. Determine 3*g(a) + 5*n(a).\nAnswer: 2*a**3 + a**2 - 2*a - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 2\/3, 26, 0.8, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*h**2 - 2*h**2 - 5*h**2)*(6*h + 3*h - h).\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - 141. Let v(x) = 6*x**3 + 6*x**2 + 0*x + x + 3 - y*x**3. Suppose 0 = -5*q + 28 - 3, 0 = 4*g - 3*q - 9. Give v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27874061.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 5*r**3 + 8*r**2 + 2 - 2.\nAnswer: -5*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g + 3*h + 80, -g + h - 27 = 0. Let p = 28 + g. Suppose -p*j + 10*j = 0, 0 = -z + 4*j + 4. Solve b = 3*u - 2*u - 6, -4*u + z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-194)\/(-6 - (-4256)\/714)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + 10\/15. Suppose 3*z + q = 7. Let i be (2 + 0)\/(8\/6). Is z at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36230, 145036, 326382, 580274, 906718, 1305720, 1777286?\nAnswer: 2321422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 25*o + 38 = -29*o, 2*m + 25 = -3*o. What is the tens digit of m\/(-28) + (-107)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3792, 3756, 3696, 3612, 3504?\nAnswer: 3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 80, 85, 92, 101?\n\"Answer: a**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 28. Let z be c\/(-5) - 330\/(-75). What is the third smallest value in -1, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79840*w + 12 = -r + 79844*w, 40 = 2*r + 8*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3154189, -6308373, -9462555, -12616735, -15770913, -18925089, -22079263?\n\"Answer: g**2 - 3154187*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 20*f + 37. Suppose -4*a + 3*g = 2*g + 84, -2*a - 42 = g. Calculate the remainder when 71 is divided by w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-2504\nAnswer: 22536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 555077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlttttlltttttt. What is prob of sequence tttl?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + 2734\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7401 + 2\/((-26)\/39)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11009857.\nAnswer: 881, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 29*b - 23. Is u(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-1) + 4)*(-34)\/(-38) and -1\/14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92606 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 35. Let k be z(-8). Solve k = -2*j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552595 by -5.\nAnswer: 110519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1\/8*h**4 - 7\/6*h**3 + 7*h**2 + 0 + 0*h. What is the derivative of q(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000668394 rounded to 5 decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 74, 64, 38, -10, -86, -196?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 8506641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 r when three letters picked without replacement from qroysaqy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z)**(-5\/4)*(z**4)**(-41))**(-33) assuming z is positive.\nAnswer: z**(10989\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/4438 and -36\/148673.\nAnswer: 297346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2321 divided by -211\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13216 - -1856.\nAnswer: 15072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**2 + 4*i**2 + 5*i**2 in the form f*i**2 + r + o*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 3*p**6\/20 + 2*p**3\/3 + 11*p**2\/2 - 234. Let z(h) be the third derivative of k(h). Let f(q) = 5*q. Give f(z(g)).\nAnswer: 270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1976 and 343980.\nAnswer: 13071240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22788 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-80)\/(-12))*36\/54.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**3 + 2*p**2 + 2*p + 2. Let d(t) = 3*t - 3100 - 8*t**3 + 1552 + 3*t**2 + 1551. Determine 3*b(n) - 2*d(n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-153)\/((-1)\/((56\/(-48))\/(-7)))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = u + 3, -6 = -3*t - 3*u. Let b = -1 + t. Factor z**4 + 0*z**3 + b - z**2 + 1\/2*z - 1\/2*z**5.\nAnswer: -z*(z - 1)**3*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**8\/1680 + 19*h**5\/60 - h**2. Let m(s) be the third derivative of x(s). Let t(c) = -c. Determine m(t(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4920)\/24)\/(-205)*1\/((-1)\/(-27)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - o - 8 = 10*a, -5*a + 5*o - 40 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 110 = 4*a + 118, 4*a + 8 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/14*-2)\/5)\/((28\/76)\/7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25d - -6318?\nAnswer: 60aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1. Let d(x) = -3*x - 8. Suppose 0 = -0*t - 2*t + 2. Let b(a) = t*d(a) - 6*w(a). Differentiate b(h) with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00518 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1972*z**2 + 1960*z**2 + 1968*z**2 + 1962*z**2 - 7855*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104198 - 169198. Round x to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 10. Let k = -79 + 71. Let f(w) = -w**2 - 11*w - 26. Let g be f(k). Which is the smallest value? (a) -0.3 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -107. Which is the closest to -1? (a) -5 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 5198, 16.\nAnswer: 4, 5, 16, 5198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-33)*(1680\/32)\/(-35)*-12\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -928\nAnswer: 928.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3744*v - 12111. Determine y(-3).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 3*p**3\/2 - p**2\/2 - 185*p + 9. Let d(y) = -5*y + 1. Calculate -11*d(b) - 6*m(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -209. What is the highest common divisor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 10*o + 151 + 168 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l + 13. Let u(p) = -22 + 8 + 9 + 12 - 8*p. Calculate -6*j(y) + 11*u(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4406654 millennia?\nAnswer: 440.6654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -141.8. Let v = -59 - t. Let x = v - -5. Is x > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from hwwiwhiiiiwhi.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9732941 meters to millimeters.\nAnswer: 973.2941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17360 + -17360.09. Sort -7, k, 0.07, 1, -3\/4.\nAnswer: -7, -3\/4, k, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*11\/176*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 547, 541, 533, 523, 511, 497?\n\"Answer: -y**2 - 3*y + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {g: 1, v: 3, d: 1, l: 4, q: 6}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3708 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 69119849110.\nAnswer: 69119849110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2459145 and 3.\nAnswer: 7377435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/(-19))\/(-5 - -2)*(-195)\/(-20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 10*k**2 - 8*k + 8. Let h be t(-9). Let g be h - (3\/6)\/(4\/(-8)). Suppose -5*i = -g*i - 1025. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, -3466, -15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3 (base 16) to base 9.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n**5 + 3*n**2 + 14*n - 3. Let s(x) = x**5 - x**2 + x + 1. Let j(v) = 3*s(v) + y(v). Find the second derivative of j(i) wrt i.\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3354 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 2. Solve -r*l = -t, 4*t + 3*l + l = -12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2. Let k(c) = -24*c**2. Calculate l(k(t)).\nAnswer: -2304*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 5. Let h be m(0). Suppose -5*u + 2*f = -5 - 13, h*u - 5*f = 15. Solve 2*i - 3*i + 4*o = 11, -5*o + u = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 682, -2, 45 in decreasing order.\nAnswer: 682, 45, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 + 3*g + 14. Let a be f(6). Let x = a - -81. Suppose -j = -x*t + 13, t + 4 = j - 3. What is the lowest common multiple of j and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**5 - 10*w**4 + 35*w**3 + 100*w**2 + 60*w = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(0 + (-3)\/2). Let j = t - -3. Suppose h + 10 = 2*g, h + 14 = 3*g - j*h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/3 + 55*h + 1. Let i = -35 - -63. Let x(j) = i*j**2 - 46*j**2 + 40*j**2. Calculate x(l(z)).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(136)*-1 - sqrt(136))*-6)\/(sqrt(16)\/(sqrt(6)\/sqrt(3))).\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 28, -5*j - 5*u + 69268 + 44497 = 0. List the prime factors of j.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l + 3*v - 18 = 44*l, -5*v + 21 = 2*l. Which is the smallest value? (a) -0.6 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -391 in -5, 0.3, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -223847405*b**2 + 1693358280*b - 3202474320 = 0?\nAnswer: 25308\/6691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76905.25 millennia to months.\nAnswer: 922863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:06 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 717 + -716.48. What is the nearest to 1 in 3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 212 + 83 = 9*f - 12*f - 5*b, 5*b - 115 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.79 + 7.76. What is the third biggest value in -9, b, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888175 - 2845.437.\nAnswer: -891020.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 + 3*b - 2. Let q = -19 - -18. Let u be (q - -6)*16\/(-20). Let h be (3 - -3)\/((-4)\/u - -1). Determine v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 818*k + 89417. Give f(-109).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -394.5 (b) 32 (c) -0.04 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111200102211020 (base 3) to base 9\nAnswer: 14612736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 244 = 2*x + 14*r, 0*x + 2*x = -94*r - 1496 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 - 16*r + 12. Is 10 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974129 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/14*(-1 + -59). Let q = 37 + m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931)*2*5.\nAnswer: 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:03 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 2 + 1 - 6*o**2.\nAnswer: -6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -1796, 12\/7, -2, -1\/7, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, -252414, 0.2 in ascending order.\nAnswer: -252414, 0.2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -575, -566, -545, -506, -443, -350, -221, -50?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237 - -242. Let o = 5.3 + -4.9. Which is the biggest value? (a) -1\/7 (b) o (c) s (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 73475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174828 and 24.\nAnswer: 349656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 22 = -2*i, 6*i + 11671003 = 5*f + 11671045 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.5 - 14. Which is the second biggest value? (a) 5 (b) 0 (c) o (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2359, -2363, -2365, -2365?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhqxyxhxhq. What is prob of picking 1 h and 1 x?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1169 - -1189. Suppose 3*q + 4 - 28 = 0. Calculate the greatest common factor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*z = -0*z + 2, 5*x - 2*z = 16. Suppose -3*o = 15, 5*c + x*o - 553 - 1832 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1142\/17703 - -2\/1967. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -155. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1042752 by 65172.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, r: 3, n: 10, p: 3}. Give prob of picking 2 r, 1 p, and 1 z.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + f + 0*f - 3*f + (3 + 2*f + 2 + 2)*(29 - 45 + 146))*(3 - 1 + 0) as x*f + v and give x.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70.6 - 70.600409. Round o to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/14)\/(80\/22120). Let i = k + 2301. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)*y*y**(2\/39)*y*y*y*y*y**37*y**(-18)*y assuming y is positive.\nAnswer: y**(1967\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2 (c) -1\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/219 in 6\/7, 0.4, 4\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1, 0, 4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a hour in seconds?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:57 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 2 j when four letters picked without replacement from ewowwwjoejwwowouwo.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - 3) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -24*s**4 - 4468*s**3 - 5184*s**2 - 740*s = 0?\nAnswer: -185, -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, f: 4, q: 6, s: 1, v: 4}. Give prob of sequence wvfs.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13176, -13179, -13182, -13185?\nAnswer: -13188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*i**3 - i + 189?\nAnswer: -75*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16135, -13024, -9913, -6802, -3691?\n\"Answer: 3111*z - 19246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(13) + sqrt(13))**2 + 3.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**4 - 65*s**3 - 1235*s**2 + 5585*s - 4290 = 0?\nAnswer: -13, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p**5\/5 + 12*p**4 - 188*p**3\/5 - 56*p**2\/5 + 126*p\/5 - 4\/5 = 0. Calculate p.\nAnswer: -2, -1, 1\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 - 1 = 0. Let t(i) = 2*i**2 - 8*i + 1. Let l be t(7). Suppose -2*m - 3*m + l = p*v, 5*v = 5*m - 25. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9936 - -19753. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340233 = 173*y - 1089552. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(128))**2 - 1*2*sqrt(128).\nAnswer: -16*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 + 11*w**2 + 8*w + 20. Let n(l) = 2*l**3 + 4*l**2 + 3*l + 7. Let o(p) = -8*n(p) + 3*r(p). What is the units digit of o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26020.521 nanoseconds in hours?\nAnswer: 0.0000000072279225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/(-70))\/(1\/5). Solve 4*v - i = -11, v - p*v + 2 = 2*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 610583752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 298*r + 21*r**3 + 298*r in the form y*r**3 + h*r**2 + q*r + d and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -39?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*y + 7. Let o(w) = w**3 - 28*w**2 + 17*w**2 - 11 + y*w**2 - 9*w. What is the tens digit of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = -40*z - 44. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**1))**20\/(q**(-6)*q**(4\/9)\/q))**(-1\/33) assuming q is positive.\nAnswer: q**(-239\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 k when three letters picked without replacement from {w: 1, k: 2, e: 1, t: 1, d: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172275 is divided by 34392.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 5*y + 887, -4*x - 3*y - 1179 = 0. Let f = 560 + x. Differentiate -f*m**2 - 1 + 266*m**2 - 6*m**3 with respect to m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 0.0833\nAnswer: -44.0833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y + 20 = 4*v, 2*y = -3*v + 8. Suppose c = -2*j + 10, -5*j - 3 - 2 = -5*c. Solve 0 = 4*x + 2*w - 14, j*x - 2*w - y - 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*x + 42. Suppose -17*h = -14*h - x. Suppose -2*b + 2 = -o - 4, h*b - 12 = 4*o. Solve -23 = -5*t + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20)*12)\/(1\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88590752 rounded to 3 decimal places?\nAnswer: -0.886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317881\/8 - 588539\/16. Let z = 2954 - p. Calculate the common denominator of z and 73\/130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s, -2*s = -4*q - 64. Let k = 42 + q. Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 793356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 156349671435.\nAnswer: 156349671441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 37 - o - 98*o**2 + o.\nAnswer: -98*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 11*f - 1. Suppose 3*i + w + 5 = i, 3*w + 10 = -5*i. Let n be d(i). Solve -n*v - 5*q = -25, 0 = 2*v - 3*q + 19 - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/2 + 2962*p. Let x(d) be the first derivative of -10*d**2 + 2*d + 1. Determine x(w(s)).\nAnswer: -60*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -199. Let h = n + 65.000106. Round h to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (376\/20)\/(18\/15) - -4 and 14\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 7994.\nAnswer: 519610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58.6418ml?\nAnswer: 0.0586418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2922, -3294, -3914, -4782, -5898?\nAnswer: -7262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/20 + z**4\/12 - z**2\/2 + 9*z - 1. Calculate x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -3*g**6\/40 - g**5\/30 - g**4\/6 - g**3\/2 - 16*g**2 - g. Let u be a(-1). Solve 3*t + 6 = y, 3*t = -1 - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1200)\/(-20)*(-4)\/(-6). Calculate the greatest common divisor of 56 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8924, 17721, 26386, 34919, 43320, 51589, 59726?\nAnswer: 67731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/240*((-256)\/40)\/8\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(187))\/(sqrt(11) + sqrt(66)\/(sqrt(54) + sqrt(6)) + sqrt(11)) - -3*(sqrt(51)\/(sqrt(12) + sqrt(3)) - 2*sqrt(1377)))**2.\nAnswer: 474113\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424 - 421. Let k(j) = -j - 4. Let w be k(-6). Suppose 0 - w = -x. Solve -y = -t + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, -0.63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 145*t + 3937. Calculate the remainder when p(-26) is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65187.\nAnswer: 3, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261271444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = 4*j + 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*j - 136126 = 89*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:35 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + o + 17 = 0, 6*o = -4*f + 10*o - 52. Let k be (-1976)\/12*15\/f. Let a = k + -68. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, -0.1, 1\/3, -0.6, -39\/2 in ascending order.\nAnswer: -39\/2, -3, -0.6, -0.1, 1\/3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23476168 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 5\/3 (c) 2\/875 (d) 2\/9 (e) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1047 - -1045.7. Which is the third smallest value? (a) -30 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279074330741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j - 1\/2*j**2 - 13\/3*j**3 + 1. Let d(z) = 3*z - 46. Let c be d(15). Give o(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9728 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644668, -644669, -644670?\nAnswer: -644671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 1, -1\/6, 0.15, -1\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*u - 12, 8*u + 4*u = 5*y - 6*u + 21*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*k = -7*m + 36, 4*m + 5*k - 32 = 0. Solve -2*n - 18 = -5*n + 3*z, 4*z = -3*n - m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3688747766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 - 0.4. Let k be 2 - (-1)\/(2\/(-4)). Let u = 59\/6 - 395\/42. Sort u, k, x in increasing order.\nAnswer: x, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 6. Suppose -2*v + 0*v = -m - 28, 0 = 5*v + 2*m - 79. What is the remainder when t(-7) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {b: 1, a: 2, l: 4, u: 9}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 5:51 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-33)*(p*p\/p**(-6\/7))\/(p**(-6)*p)*(p**0)**(-1\/2)\/(p**(2\/3))**(-35) assuming p is positive.\nAnswer: p**(1348\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6401986 and -178?\nAnswer: 6401808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.628 + -35.1. Let t = 0.072 + d. Let y = 0.2 + -0.1. Which is the closest to y? (a) -4\/7 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30047 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109206866, 218413730, 327620594, 436827458, 546034322?\nAnswer: 655241186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*g + 31 = -3122, 3*x = 3*g - 3153. Let v = -8445\/8 - x. Let z = -2436 + 17020\/7. What is the common denominator of v and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 16*n - 60*n + 30*n - 9*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 smaller than -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51961, 51975, 51989, 52003, 52017?\nAnswer: 52031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/198628 and 85\/247066.\nAnswer: 1066830988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**4 + n**3 + 5*n**2 - 3. Let z(f) = -f**4 - f**3 - f**2 + 1. Let d(w) = w + 3. Let l be d(-2). Let i(k) = l*y(k) + z(k). Solve i(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n - 15, 5*n - 15 = -5*i. Sort 3, 2, i in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) -3\/2 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 + 0 + 2. Let k(z) = -2 + 3*z + 71*z**2 - 2 - 76*z**2. Let o(j) = 4*j**2 - 2*j + 3. Give s*o(v) + 2*k(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88680 and 20114841.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74\/65 + 20\/13. Let l = 6.1 - 2.1. Let a = -3.9 + l. What is the closest to a in -2\/7, -3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73629.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41580 and 1446?\nAnswer: 10020780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -42. Suppose i - 30 = 2*i. Let u = 101 + i. Calculate the remainder when u is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 8 = 3*s. Let f be 3*(2 - s\/(-3)). Is (-1)\/f + 114\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -90. What is the third smallest value in -2, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) -13 (c) 5 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2621 (base 12) to base 16.\nAnswer: 10f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10039 = 9293. Is (4\/6)\/(8\/g) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13356 and 1814932.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3 + 1 + j - 5. Let s(o) = 1. Let x(v) = n(v) + 2*s(v). Let u(r) = -2*r**2 + 3. Suppose l = -5*m - 6, -m + 0 = -5*l - 4. Calculate m*u(k) + x(k).\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105.1 + -105. Let h = 3.01 + -0.01. What is the closest to h in 2, d, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and 17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - (8 - 3)) + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2362803, -2362799, -2362795, -2362791?\n\"Answer: 4*h - 2362807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42961056*w + 53938266.\nAnswer: -42961056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 29*f - 4656 = -6*r, -3*f = -5*r - 14152. What is the lowest common multiple of 189 and f?\nAnswer: 42336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4476760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2 + 13. Suppose -45 = -12*u + z. Solve 2*i = s - u*s - 10, -5*i = -2*s - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -17. Suppose -130 = -b*y + 2*y. What is the remainder when y is divided by (-10)\/(-4)*(-140)\/(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 75. Let p(n) = 6*n**2 + 2*n. Let w(m) = 3*m**2 - 2*m. Let j(t) = p(t) + w(t). What is q(j(c))?\nAnswer: 27*c**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16*u**3 - 2*u**2 + 2*u + 8. Let y(b) = 20*b**3 + 2*b**2 - 2*b - 7. What is 5*i(a) + 6*y(a)?\nAnswer: 40*a**3 + 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/54 and 151\/3168.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 8*j**2 + 3*j - 23. Let c be f(-7). Solve 20 = -c*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 22*o**2 + 77*o + 325. Let t be j(-25). Sort -0.5, 1\/6, t.\nAnswer: -0.5, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - 2*z. Let m(s) = -s**2 + s. Suppose 5*l - 10 = 0, -5*u + 2*l - 7*l = -25. What is u*m(k) + 2*o(k)?\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-5))\/((-21)\/(-105)). Let w be (0\/4 - i)\/((-27)\/(-18)). Factor -1\/2*r + 1\/2*r**w + 0.\nAnswer: r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4458433*h**2 + 299231.\nAnswer: -8916866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581 or 3\/167?\nAnswer: 3\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -90\/6223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(2) + (sqrt(98) + 0 + sqrt(98) - sqrt(98)).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 749*n**4\/12 + 302*n**3\/3 + 75*n + 1. What is the second derivative of i(o) wrt o?\nAnswer: 1498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 40 + 7*p - 9*p + 3*p.\nAnswer: -2*p - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = -14. Let h be (-1)\/k + 2\/(-6). Which is the nearest to h? (a) 1\/2 (b) 2\/15 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255490487 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 145 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2042 + -22485\/11. Let m = 350 + -134. Find the common denominator of (2\/(-14))\/(6\/m) and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5 - 18*n**3 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -12*r + 33. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s + 174. Calculate w(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19707 by 455.\nAnswer: 19707\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let m(f) = -6701*f**2 + 6*f. Calculate m(v(a)).\nAnswer: -26804*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0 - 3\/10*x**5 + 1\/2*x**2 + 7\/3*x**3 + 32*x + 0*x**4. What is the second derivative of g(y) wrt y?\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230011 (base 8) in base 9?\nAnswer: 1116853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*(2\/38 + 396\/4389)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + m + 9 = -6*x, 9 = -x + 2*m. Let z = x + 6. Solve z*u = u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3922)\/518 + 20\/35 - (0 + 561\/(-81))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578112875 to the power of 1\/2, to the nearest integer?\nAnswer: 24044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20 = 3*d, -2*d - 46*u + 44*u - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.595387 meters to millimeters.\nAnswer: 1595.387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16367 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 0 - (3 + 0). Which is the second smallest value? (a) -0.2 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - (-1948)\/(-42). Let b = l - -47. Let t = -108\/329 + 2\/47. What is the second smallest value in t, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 0*g**2 - 22*g**2 + 17*g**2.\nAnswer: -6*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/(121\/(2904\/(-36)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1118?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*(-1)\/((-6)\/(-27)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 540828?\nAnswer: 1081656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735742159.\nAnswer: 735742159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52853*f - 105087*f + 21206 = -52695*f for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t*t*t*(t\/(t\/(t\/t**(-1\/6))))\/t)\/(t*t\/t**9*t\/t**(1\/12)) assuming t is positive.\nAnswer: t**(621\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkgbz. Give prob of sequence bb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11018\/15 - 734. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + c + 1176, 659 = 2*i - c - 125. What is the highest common divisor of i and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.6, 0.06, 6\/19, 2, 6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129446750267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 32*o**2 - 167*o - 129. Is 61 a factor of r(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -34, 3, 5.\nAnswer: -34, -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3107808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0*n - n)*(11 - 7 + 9)*(2 + n - 3 + 0*n) to j + m*n + t*n**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -6*i - 2*g, 0 = 3*g + 6. Suppose -60 = -7*r + i*r. Calculate the greatest common factor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 3*k - 21. Let n(c) = -c**2 - 2*c + 14. Calculate 5*i(g) + 8*n(g).\nAnswer: 2*g**2 - g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 3}. What is prob of picking 1 v and 2 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18009383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*t - 12, -12 = -2*r + t + t. Suppose 2 - 4 = -r*i. What are the prime factors of 8\/(0 + 2 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 50*p + 1. Let h(y) = -y. Calculate -5*h(d) + z(d).\nAnswer: 55*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 3*p + 29. Let w be r(4). Suppose 3*x = 8*i - 3*i - 405, i = -2*x + w. Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -32*v + 1. Suppose 0*a = -3*a - 3. Is z(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3995 - -14. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77702 (base 10) to base 9.\nAnswer: 127525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 41*z**2 - 305*z - 132. Let i(b) = -208*b**2 + 1524*b + 664. Let d(m) = -3*i(m) - 16*t(m). Factor d(q).\nAnswer: -4*(q - 10)*(8*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:30 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*h - 62885994, -5*h + 5*n = -91449617 - 65765373. What is h rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 916195*m - 12825750.\nAnswer: -5*(m - 183225)*(m - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -8. Let m(l) = -2*l - 10. Let k be m(q). What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404144012 (base 5) to base 14\nAnswer: -694305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 divided by -3?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70541 or 70542?\nAnswer: 70541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -341 (c) -2 (d) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 5}. Give prob of sequence vv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.342 to one dp.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 9163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-1 - 6 + 1)*((0 + 0 - 2)*(-1 - b + 1) + 3*b - 13*b + 2*b).\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 2, r: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 131962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*y + 236*y - 1 - 115*y as t*y + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366 - -376. Suppose 6*i - 2*i = 3*x + 23, -28 = -2*i - 4*x. What is b in -v + 3*b**2 - 15*b + 3*b**3 - 4 - i + 31 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + 183*b**2 + 46*b + 3. Let d be u(46). Solve 5*t = 2*i + 1, 0 = -d*t + 4*i - 32 + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4348*-3\nAnswer: 13044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 22*c**2 - 27. Let d be s(-22). Let l = d - -193. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251198251*y**5 - 53*y**2 + 4058025*y wrt y?\nAnswer: -15071895060*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/8 + 82536957*n**3\/4 + 756927696757761*n**2\/2 + 2313870694792754039751*n.\nAnswer: 3*n*(n + 18341546)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -424 or -423?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 9*u**2 + 32*u - 135. Let n be z(5). Solve 12*y - 41*y - 116 = n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(((-17640)\/49)\/90)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 389697137521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*q - 5*m + 4, -2*q + 20 = -5*m. What is the third derivative of 11*g - 127*g**6 - 6*g + 2 + 20*g**2 - q*g + 0 wrt g?\nAnswer: -15240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 - 325 = -3*i + 19*i + 20*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1818\/5)\/((-12)\/(-40)). Let z = -461453\/4 - -114142. Let n = z + w. Calculate the common denominator of 53\/16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -235*l**2 + 649*l + 6. Let o(h) = 147*h**2 - 433*h - 4. Give 8*o(w) + 5*t(w).\nAnswer: w**2 - 219*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 0*l. What is the least common multiple of (-3)\/((-3)\/6*2) and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -3 (c) -4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 570, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -23. Let v = 21 + h. Solve 27 - 4 = -4*w + 3*z, 0 = -v*w + 4*z - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.4 (c) -1.9 (d) -17 (e) 21.1 (f) 3\/7 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -115. Let g = 39 + h. Let z(f) = f**3 + 11*f**2 - 13*f + 28. Does 4 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*y - 0*y, 2*n + 5*y = -21. Let m(z) be the first derivative of -1\/15*z**3 - 1\/5*z - 2 - 1\/5*z**n. Factor m(g).\nAnswer: -(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(4*y**3 + 3*y**3 - 6*y**3)*(-3*y + 17 + 13 - 27).\nAnswer: -6*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70517 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067469468 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 3*o**2 + 6*o - 6. Let p be l(3). Calculate the highest common divisor of 192 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y - 12. Suppose y*t = -3*t - 784. Let s = -27 - t. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-65)*20\/12*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/(-230)*4\/(-66)*-219. Let o = p - -41\/11. Let -18\/5*s**2 - o*s + 6\/5 = 0. What is s?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13242 (base 6) in base 4?\nAnswer: 133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 21*b**2 + 22*b + 41. List the prime factors of g(-8).\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276879726 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14938.69 rounded to the nearest 100?\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = v - 24, -2*v + 4*h = -0*v. Let t be 14*-2 + (-2)\/(-2). Let w = t - -32. What is the lowest common multiple of v and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 - 8826025*h + 4413015.\nAnswer: -5*(h + 882603)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 211249730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11388 less than 0.4?\nAnswer: -11387.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 15 = 0. Suppose -3*h = d - 41. Calculate the greatest common factor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let c(n) = 1607*n. Let t(k) = 155922*k. Let x(o) = -780*c(o) + 8*t(o). Calculate m(x(z)).\nAnswer: -74030112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13 - -9) + 21 - 8 - -8) + 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4388601 months in years?\nAnswer: 0.036571675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 38 = 6*h. What is the remainder when h is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7623 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2166411 divided by -2166411\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppaaaaoppp. Give prob of sequence aop.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 - 243. Let y be (-36)\/b + -2 + (-608)\/(-504). Factor y - 220\/9*o**2 - 16\/3*o.\nAnswer: -4*(5*o + 2)*(11*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 23463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 10*m**2 + 0 + 50\/3*m**3 + 1\/15*m**5 + 0*m + 5\/3*m**4. Solve f(t) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000 (base 2) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28708404*b**2*k**4 + 3*b**2 + 3*b*k**5 - b*k**2 + b*k - 5*b - 8267*k + 2 wrt k.\nAnswer: -689001696*b**2*k + 180*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 3*k**2 - 66*k + 66*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19608 smaller than 19611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49165\/3 - -16388. Sort 2\/61, 0, -0.2, 3, p in decreasing order.\nAnswer: 3, 2\/61, 0, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -2*j, 4*j + k - 7 = 12. Suppose 50 = -5*n + j*s, -3*s + s = 4*n + 10. Sort 5, 1, n in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.022999871 from 772985.\nAnswer: 772985.022999871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68257?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5832?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/72)\/((-205)\/369)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28768*d - 86310*d - 2*d**2 + 28770*d + 28772*d - 51.\nAnswer: -2*d**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.28989 decades in years?\nAnswer: 532.8989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12)\/(22\/(-231)*(-343)\/42*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3289 and -68\/1287.\nAnswer: 29601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.6. Let h = -1.775 - -0.575. What is the second smallest value in -2, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295 - 142. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14.99994. Round x to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v**3 - 28*v - 29. Let g be i(-1). Calculate the greatest common divisor of 4048 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 4*r = 20, 0 = -5*u - 5*r + 80. Calculate the greatest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 1 + 4*r + 5*r + 3*r to h + t*r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - -2.2. Let o = -1.5 - r. What is o rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2)\/((-28)\/10). Let d = l + -11\/14. Which is the closest to -0.2? (a) -3 (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from pmmonplpnpmnon?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-6)\/45*3. What is the tens digit of ((-4)\/k)\/(10\/615)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = -1. Let u = -135 + 137. Let s(l) = 1. Let o(z) = z**2 - 3*z + 3. Let q(x) = -o(x) - 2*s(x). Let a(r) = 2*r - 4. Give i*a(y) + u*q(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1576\/10 + 6\/15. Let v = o + -105. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -783 - -783.5. What is the second smallest value in 1\/6, 5\/7, -13, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/18*-4)\/((-5)\/2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-5)\/2 - 0. Let i(s) = s - 7. Let z be i(q). Is 74*2 - z - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 16.4, -4, -0.7, -12, 1.8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from owjoodoooooo.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8950, -17896, -26838, -35776, -44710, -53640?\n\"Answer: 2*f**2 - 8952*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 81 + 57 = 0. What is the remainder when 21 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:48 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 3161.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 - 12*a + 12 - 18*a**3 + 19*a**3 - 7*a**2. Let t = 24 + -11. Calculate the remainder when q(t) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s**(-33)*s)\/s*s)\/s)\/s)**(1\/6)*(s\/s**(-4\/29))**(-34) assuming s is positive.\nAnswer: s**(-2563\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -2*g - 3*j, 3*g + 4*j + 14 = 0. Suppose g*z - 2*m = -2*z + 118, -3*z + 3*m = -96. List the prime factors of z*1\/(-2)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + q - 690 = 0, -12*n + 9*n + 2074 = 2*q. Let a = n - 693. Solve 9 = 4*l + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220569 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:38 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -436.07381 to zero decimal places.\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1908, 3814, 5720, 7626?\n\"Answer: 1906*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006899188 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(1 - 1 + n)*(28*n - 14*n + 13*n).\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899773492 + 309*x - 899773492.\nAnswer: 309*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - 16\/7. Let y = 16481 - 16486. Sort -1, y, x in descending order.\nAnswer: -1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1 + c**3 + c - 2*c + 3*c - c**2. Let m be 2*((-5)\/(-2) - 2). Let b(p) = 2 - p**2 + 0 + 0. What is m*b(a) - n(a)?\nAnswer: -a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -3447830.\nAnswer: -3447830.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*w - 4*m, 2*w + 388*m - 378*m = 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 609600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2.5 (c) 92 (d) -3\/4 (e) -3\/2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/425?\nAnswer: -1\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 3*q**2 - 3*q - 6. Let t be j(-3). Solve g = m - 1, t*g - 1 = 4*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqaa when four letters picked without replacement from qaaqqqqqqqqqq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1483 - -1503. Solve 0 = -28*r + i*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let t = -3 + c. Let r = t - -5. Solve r*q = -3 + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*o**3*w**3 + 2*o**3*w**2 - 63*w**4 - 4500*w**2 wrt w.\nAnswer: 726*o**3 - 1512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 858.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.92725 rounded to 2 decimal places?\nAnswer: 88.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229819542.\nAnswer: 2, 3, 23, 139, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728473473, 1456946946, 2185420419?\nAnswer: 2913893892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 36 = 2*a. Let r = -15 + 25. What is the remainder when 4\/r - (-48)\/5 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 18*o - 133. Give y(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123759485?\nAnswer: 5, 499, 49603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-15)\/(-720))\/(1\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w. Let j be g(1). Suppose -3*s + 4*m = -19, -3*s - 4*m = -7*s + 20. Let k(b) = 4*b + 1. Let t be k(s). Solve 3*x + t = j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 56. Let j = -355 - -369. Let n = q - j. Put n, 2, -3 in ascending order.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 3a793c4?\nAnswer: -3a793be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22133456237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 322511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -5 - 13. Let y(g) be the first derivative of -6*g**2 - 4 - 2*g - 5*g**4 - 2*g + 4*g**4 + 12*g**a - 4*g**4. Factor y(j).\nAnswer: -4*(j - 1)**2*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6513101801 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6093.068 millilitres?\nAnswer: 6.093068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:49 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 390\/260*((-28)\/(-6) + -4)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 2, c: 3}. Give prob of picking 3 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*p**3*w**2 + p**3*w - p**3 - 3704*p**2*w**2 - 8*p**2*w + 4*p*w**2 - 6*p*w + 2*w**2 + 128*w wrt w.\nAnswer: -16*p**3 - 7408*p**2 + 8*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = -12780 + 43492. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 11*b + 22. Give l(6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.816 * 2.3421\nAnswer: -8.9374536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nae when three letters picked without replacement from {a: 2, e: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((6\/(-3))\/(-4)). Is 9 a factor of ((-1)\/(-1))\/(n\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 17*m + 0*m**2 + 48*m + 8*m**3 + 0*m**2.\nAnswer: 3*m**3 + 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1095, 137272, 5 in ascending order.\nAnswer: 5, 1095, 137272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -4.7. Sort 5, i, 0.3, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(44\/165)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/11? (a) -1\/5 (b) 9120 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 9*r - 4. List the prime factors of z(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -872, -716, -560, -404, -248?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/((b\/b**(-2\/3))\/b))*b*b**(3\/2))**(2\/21) assuming b is positive.\nAnswer: b**(25\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 95?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 9b1d6a?\nAnswer: 9b1d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3040, 3046, 3052, 3058, 3064, 3070?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + -15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -27?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j**2*j)))**(-1\/6)*(j**1*j*j)\/(j\/(j\/(j\/j**(2\/5)))) assuming j is positive.\nAnswer: j**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from rffrfrffrf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 864.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 407. Let p(l) = 5*l. Let y(c) = -c. Let g(i) = w*y(i) - 3*p(i). Let s(a) = -6*a. What is s(g(n))?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 10 = -8*y. Let k be (-25)\/((-25)\/564) - 1*y. What is the greatest common factor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + a - 8 + 1, -2*a = -2*j - 6. Which is greater: j or -51\/19?\nAnswer: -51\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 64*x + 552. Does 22 divide h(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1438.719972 + 1439.04. Let o = -0.32 + f. What is o rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 12. Let q = m - 15. Let w(h) = 2*h - 6. Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 12*z**2 + 4*z + 99. What are the prime factors of q(-10)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 3. Let j = 0 + x. Find the third derivative of 5*d**2 - d**3 - 5*d**2 + d**j wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/699145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -32, -41, -50?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 + 7*j - 2. Let d be i(6). Suppose -5*q - d = -19. Solve -2*p + f = 12, -3*p = 2*f + q*f + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v**2 - 60 - v**2 + 62 + 6*v. Calculate r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42557418 + -3?\nAnswer: -42557421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 - 5) + 3 - -4. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6554?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/26 - (-23 - -429)\/29?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 1 = -5*g, -395*g = 4*u - 396*g + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061822 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-5 + 0) + 1. Let n be (-2 + (-10)\/z)*0. Find m, given that -m - 2 + m**2 + 0*m + n*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k - 116 + 7 = 91 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4 - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -258, -520, -784, -1050, -1318, -1588, -1860?\n\"Answer: -d**2 - 259*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.354 and -56.\nAnswer: -187.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (718*x - 311*x - 369*x)*((3 - 3 + 4*x)*(1 + 1 + 0) + 4*x - 4*x - x) to the form h + y*x + b*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let b = 0.2 + -1.2. Let t = b - q. What is the closest to 1\/3 in 5, -3\/2, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11798083579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/90*-147 - (-2)\/(-2) and -97\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -7, -1\/4, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 15 - (90 + -85 + (1 - 17)) - -15\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + 15. What is the remainder when 71 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -197336, 3 in increasing order.\nAnswer: -197336, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y - 329 + 19 = 122 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m**2 + 8*m + 4. Let p = 22 - 16. Let l be i(p). Suppose -2*s = 2*s - l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-9)\/(-18))\/((-10)\/1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*r**2 + 17*r**4 + 21*r**2 + 2*r - 1888*r**5 + 1886*r**5 wrt r?\nAnswer: -120*r**2 + 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsfs when four letters picked without replacement from {s: 1, o: 1, q: 2, f: 1, b: 1, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686 = 5*d + 5*r + 1611, -2*r + 12 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + b + 3. Let s be o(-6). List the prime factors of (-47)\/s - (-8)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 + 453*q + 244.\nAnswer: 453*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -17*o**5 + 138*o**4 + 715*o**3 + 900*o**2 + 292*o - 48 = 0.\nAnswer: -2, -1, 2\/17, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/d**(-1))\/d))**(-8)*(d\/(d\/((d*d**1*d*d)\/d)))**16 assuming d is positive.\nAnswer: d**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 17*v - 10*v - 11*v - 2.\nAnswer: -28*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**1)**(-4\/9))**26)**(24\/5) assuming s is positive.\nAnswer: s**(-1664\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 418699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 3041?\nAnswer: 33451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 273. Suppose 277 = 3*a + o, -a + 0*a + 3*o + h = 0. Suppose 0 = 5*t - 3*f - a - 1, 3*t = 5*f + 52. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5903008\/231 or 25554?\nAnswer: 5903008\/231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11901.\nAnswer: 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51951068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 3. Let y(a) be the first derivative of 5*a**2 - 2 + 8*a + 5*a**2 - 1. Let h(m) = -17*d(m) - 6*y(m). Differentiate h(s) with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(144)\/sqrt(8))**2 - sqrt(2)).\nAnswer: -54 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from ciwninicnpwiiiinwpc.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let x(p) = -p - 3*p - 3*p**2 + 3 + 1 + p**2. Suppose 1 = 2*s + 3. Let q(u) = s*x(u) - 4*n(u). Let c(m) = -3*m**2. What is q(c(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 2*k**2 - 4*k. Let a be o(7). Suppose -a = -7*w + 77. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183300\/5429 at most as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 11*i**2 + 23*i - 16. Let n be b(7). Let s be n\/(-5)*1\/(-2)*-10. Solve -4*k + s + 10 = 2*q, 0 = -k + 5*q + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 0*p**4 + 0*p**4 + (p**3 - 2*p**3 + 2*p**3)*(-p + p - 2*p) + (-914*p + 87*p**2 + 914*p)*(-2*p**2 + 0*p**2 + 0*p**2).\nAnswer: -175*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -24861703 smaller than -24861706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11567*g - 64 = 11562*g + 3*b, 24*b - 22*b + 52 = 4*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(d + d - 4*d) + 0*d - 4*d + d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 59\/10298551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2*4\/(52 - -4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 94\/6 + 11 - (0 + 4\/6). What is the greatest common factor of d and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -570707 - 10?\nAnswer: -570717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i + 29 = 62*i - 5*f, f = 4*i + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 30. Let c be ((-28)\/(-220))\/(-7)*a. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 97 - 41*y)*(-3*y**2 - y**2 + 3*y**2 - 2).\nAnswer: 41*y**3 + 82*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 9890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 8*b**2 - 9*b + 9. Let w be p(7). Let v = 0.29623 - -10.70377. What is the third biggest value in v, -0.08, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 409847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc73a (base 14) to base 7.\nAnswer: 4352103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9 + l**2 + 2*l + 8*l + l. Let c be s(-12). Let u = -12 - -17. Solve c*g + u = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14113427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/2 (b) 0 (c) 2742 (d) -5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 17*p**2 + 1\/1200*p**6 + 0*p**5 + 0*p**4 + 0*p**3 + 0 + 0*p + 1\/3360*p**8 - 1\/1050*p**7. Determine u so that n(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*p + p = 45, 3*p = 2*k - 29. Let n = k - 3. Let j = -6 + n. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2757 minus 11538.8?\nAnswer: -11535.5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 479954 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: What is the tens digit of 12833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 327793, 327381, 326969, 326557, 326145, 325733?\n\"Answer: -412*r + 328205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-216)\/30)\/((84\/40)\/(-7)). Let l be ((-55)\/22)\/((-2)\/8*2). Solve -3*p - 8 = -l*a + g, -a = -3*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002002 + -2000?\nAnswer: 1000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1, -5, -195?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -1. Suppose -9*s = -z*s - 1227. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3071294 divided by 6.\nAnswer: -1535647\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -117, -171, -225, -279?\n\"Answer: -54*o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473300 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 12 = -2*x, 2 = -u + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/8)\/(-9)*2\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3264\/(-328) - -1) + (-54)\/(-6).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 - 288 - 547 = 32*t + 233 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -23. Let d(n) = -6*n**2 - 8*n + 7. Let u(a) = a**2 + a - 1. Let l(y) = m*d(y) - 28*u(y). Factor l(w).\nAnswer: -4*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u - 34 = -4*v, 4*u + 28 = 3*v. Let k be u\/(((-8)\/6)\/(4\/6)). Suppose 0 = -k*b - 3*d + 210, 0*d - 2*d - 235 = -5*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n + 4*m - 8, n - m - 5 = 0. Let f(i) = -38 - n*i + 17 + 21. Let h(q) = 13*q. Give f(h(y)).\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:25 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 - 5*t + 4. Let a be b(-6). Let i(r) = -2*r - 2. Let p be i(a). Solve -2 + p - 1 + 3*g**2 - 2*g**3 = 0 for g.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 2*d + 1. Let r be y(-3). Let i be 2\/4 + 20\/r. Solve 0 = i*l - 3 - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5*p - 2*a**2*p*t + 115441*a**2*t - 261*a*p*t + 2*p*t + 6*p + 29*t wrt a?\nAnswer: 40*a**3*p - 4*p*t + 230882*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 514877567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12286700 - 594*h - 12286700 to z + d*h and give d.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 75. Let a be h(-26). Suppose 0 = y - a*y + 14. Suppose 0 = d + j - 9, -d - 2*j = 2*j - 24. Calculate the remainder when y is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-14))\/(-1))\/((-45)\/30).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4690558 rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**3 + 7*d**2 - 18. Let l(k) = 4*k**3 - 3*k**2 + 9. What is -3*b(y) - 7*l(y)?\nAnswer: -y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*o*w**3 + 608*o*w**2 - 77*o*w - 9*o - 508*w**3 + 8*w**2 + w - 1089 wrt o?\nAnswer: -78*w**3 + 608*w**2 - 77*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(20\/8) + 7. Suppose -4*q - 2*d = -i*d - 78, q - d - 19 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2151\/399 - 5 - 2\/7.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*b + 8, o + 2*o - 3*b - 24 = 0. Suppose 22*c - o = 18*c. Let f(z) = -5*z**c - 2*z**3 + 2*z**2 - 2 + 14*z + 3*z**3 - 13*z. What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 3?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3601.\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 92\/14 + (-4)\/7. Solve 0 = -4*s + 4*n - t*n + 20, 3*s = -5*n + 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25184, 50366, 75552, 100742?\nAnswer: 125936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsss. Give prob of picking 1 s and 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 150*q - 7446. Suppose 2*w - 6 = 18. What is the remainder when a(50) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-2)\/72*-6*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 1, q: 5, h: 1, s: 1, d: 3}. What is prob of sequence dpq?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 2, m: 5}. What is prob of sequence lmmm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -269*u - 60. List the prime factors of j(-3).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -49972*n - 7. Let x be q(-4). Let v = 106119 + x. What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/3)\/(8\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36672516 or 36672519?\nAnswer: 36672519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.25 + 0.25. Let t = z - -15.99931. What is t rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - b + 2. Let t(c) = -20*c**2 - 15*c + 16. Calculate -18*o(v) + 2*t(v).\nAnswer: -4*v**2 - 12*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63279 and -0.3.\nAnswer: 63278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3680\nAnswer: 1\/920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c. Let w(i) be the second derivative of 3*i**3\/2 + 2*i - 16. Give w(p(u)).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8369476.511 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 - 2*k**5\/15 + 3*k**4\/4 - 5*k**3\/6 + 6*k**2. Let f be y(7). Suppose 12*m + f = 20*m. Solve -m = 4*d + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 5*n - 13, 2*r - 7 + 1 = -2*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 104, 199, 342, 539, 796, 1119, 1514?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:01 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xohohxhxoxh. What is prob of sequence ooox?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -1813426.\nAnswer: -67\/1813426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 598*s**2 + 21148*s + 2061. Calculate z(258).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7616, 7658, 7778, 8018, 8420, 9026, 9878?\n\"Answer: 7*q**3 - 3*q**2 + 2*q + 7610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -528889, -3\/2, -1, 20, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4747, 4856, 4965, 5074, 5183?\n\"Answer: 109*d + 4638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, -2\/31, -289, -0.031, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295 (base 13) to base 7.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a + 11. Let r(u) = -2. Give -4*r(h) - v(h).\nAnswer: -16*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -2\/9 (c) 51364325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -332038.911 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297615476?\nAnswer: 2, 13, 44184913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3133, 3075, 3017, 2959?\n\"Answer: -58*v + 3191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -321, -515 in descending order.\nAnswer: 5, 2, -321, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(0 - 2*n + 0).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*b**3 - 20*b**3 + 25*b**3)*(-3*b**2 - 2*b + 4*b - 3*b).\nAnswer: -102*b**5 - 34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 - 39*t**2\/5 - 27*t\/5 + 27\/5 = 0. What is t?\nAnswer: -1, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (64\/2)\/(-1 - 0). Let j be 21\/35 - (-3)\/(-5). Let o = j - x. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -493 + 498. Suppose x*d - 4*d = 557. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 13*s = -46 - 21, -3*p - 7*s = -8*s - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -7 + (-15)\/(-5). What is the remainder when -4*(w + -14) - (-7 + 4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -814 and -14.\nAnswer: 11396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwwmmwmmwmwmwwwwww. Give prob of sequence wmmm.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -587*n + 276. Let s(y) = -147*y + 69. Let d(p) = 9*s(p) - 2*v(p). Is d(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -122*q**2. Let k(v) = 90*v. Give k(j(y)).\nAnswer: -10980*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -116. Suppose n = -0*n - k*c - 104, -2*n - 169 = -3*c. Put -4, -2, n in decreasing order.\nAnswer: -2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and 3813.923?\nAnswer: 3814.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4146 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 96.37. Let v = 0.46 - j. Which is the second smallest value? (a) v (b) -3\/7 (c) 2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/20)\/((3\/612)\/1). Suppose -639 = -4*l + 2*i - 21, b = 3*l + 3*i. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -25*w + 371. What is b(13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*t = 296*t + 5*h + 4, -4 = 3*t + h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {g: 4, h: 4, z: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:58 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8370369*d**3 - 3597710*d**2 wrt d?\nAnswer: -50222214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 1. Let m be i(1). Let a = -67 - -102. Let u = a + -32. Sort -5, u, m in increasing order.\nAnswer: -5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + z = -248, x - 2*z - 52 = -z. Calculate the remainder when 389 is divided by x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -93, -2, 52, -1 in descending order.\nAnswer: 52, -1, -2, -10, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 28 = 22*i. Find the third derivative of 2*p**3 - 4*p**i + 99 + 100 - 199 - 3*p**5 + 7*p + 0*p**5 wrt p.\nAnswer: -180*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42530495?\nAnswer: 5, 7, 1215157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p + 2*l + 71, 4*l = -3*p - 211. Let i = p - -61. Sort 0, i, 3, 4 in descending order.\nAnswer: 4, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - t + 3199, -13*i + 15*i - 5*t - 6419 = 0. Suppose -16*l + i + 11966 = 0. What are the prime factors of l?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -558 + -375935?\nAnswer: -376392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7632 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13 + 23 = 0. Let f(k) = -48*k + 192. Let m be f(4). Find the third derivative of -b*v**2 - 35*v**2 - 63*v**3 + 98*v**3 + m*v**2 - 2*v**6 wrt v.\nAnswer: -240*v**3 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b9 + -1b?\nAnswer: -1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h = -16*h - 240. Solve -5*d - h = -32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542260103.\nAnswer: 7, 11, 47, 149837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0.237, -13\/6?\nAnswer: 0.237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4417 and -67.\nAnswer: 96.5939","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -27) + (-17 - 19 - -31)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 480*q**4 + 475*q**4 - 944*q**4 + 74*q + (-2*q**2 + 4*q**2 - 3*q**2)*(-3*q**2 + 3*q**2 + 3*q**2).\nAnswer: 8*q**4 + 77*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*j + 173 = -9*j, 4*j = -v + 38. Suppose 5*y = 5*n - 155, -2*n + v = 5*y + 8. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -c - 4*c + 4*s, c - 2*s - 8 = 0. Suppose -c*y = -33 - 35. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964*y**3 + 982*y**3 + 432*y**2 - 5 + 240*y**2.\nAnswer: 18*y**3 + 672*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 47*b - 27*b - 8*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t + 6 = 0. Solve -4*r + g - 31 = -2*g, -3 = -t*r - 3*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*b - 60 = 281*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000434443 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77759?\nAnswer: 11, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 102 = 12 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -2)*2.\nAnswer: -4 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -531 + -4?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-11 - -36) - -6 is divided by 10 + (1 - (1 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:50 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 10. Let c(p) = -3*p + 29. Suppose -w - 39 = 3*m - 5*w, 0 = -4*m + 5*w - 53. Let i(r) = m*k(r) + 6*c(r). What is the units digit of i(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 5*c + 4*c - 31 + (-2 - 2*c + 2)*(1 + 0 + 1).\nAnswer: -5*c - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6\/47 (b) -2\/7 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-406)\/232)\/(2\/(-1072)). Let i = -926 + m. Let d be 4 + (1 + -2 - -3). Solve 4*b = 3*x + 23, -d*x + 2*b = -4*x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 26, 46, 86, 152, 250?\n\"Answer: c**3 + c**2 - 4*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648978161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15262550 and 6128?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44377, 88747, 133121, 177499, 221881, 266267, 310657?\n\"Answer: 2*n**2 + 44364*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -423640.04948 from -5.\nAnswer: 423635.04948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-19)\/(-10) - 2). Let x be (72\/60)\/(8\/b). Suppose x*y**2 - 3\/4*y + 3\/4*y**3 - 3\/4 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -y + 8010, 4*g - 14*y = -18*y - 15972. Is -4002 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - (-70)\/15. Let l(m) = -2*m**2 - 23*m - 12. Let w(t) = -2*t**2 - 15*t - 11. Let s(j) = 2*l(j) - 3*w(j). Is 28 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 - 20*z - 3. Give i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 912647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/120 - w**4\/12 - w**3\/3 - 2*w**2. Let j(v) be the first derivative of q(v). What are the prime factors of j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 869.3 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -5*s**4\/24 + 4*s**3\/3 - 41*s**2. Calculate the remainder when a(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7762*t = -7761*t + 3*k - k - 31, 4*t + 129*k = 3 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18343179577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -17 - 24) + -40 + (4 - (-6 + 16))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 944.3 + -944.3500004. Let b = 0.05 + s. What is b rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2457\/5 + -492. Which is the nearest to 2\/7? (a) m (b) -2\/11 (c) -6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 43*u**2 + 998*u - 98. Give n(-25).\nAnswer: 1827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-1 - n + 1) - 7*n + 9*n + 8*n + 53*n - 4 + 4 + n + 0*n + 0*n + (2 - 1 - 3)*(-2*n + 4*n - 3*n).\nAnswer: 65*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-5733)\/1066) - (-9)\/1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:05 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5017970, -20071881, -45161732, -80287523, -125449254, -180646925?\nAnswer: -245880536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229902 + 361411. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206945\/21 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-112))\/((-7)\/(-14)*2)*-4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r = 39*r + 133 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 - 9 + 0*k + k. Let y(b) = -b**3 + 51*b**2 - 104*b + 287. Let m be y(49). Let j(c) = 5 + 0 - 1 - 1. Determine m*j(q) - 2*z(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14 - 11 - 4*j + 2*j. Let o be i(3). Let z(m) = -m**3 - m**2 + 5*m + 3. Give z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23435*j - 2 - 46831*j + 23443*j. Let k(n) = 4*n**2. Give k(g(s)).\nAnswer: 8836*s**2 - 752*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 3*d**2 - 7*d - 6. Let q be r(-4). Let i(b) = -b**2 + 13*b + 7. Is 10 a factor of i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (672\/(-360))\/(11\/((-605)\/(-22))).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1332 and 13268385?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*w + 1 = -j, -4 = j + 2*w. Let s = -4712 - -4708.999. Let o = s - -0.001. Put -0.4, j, o in increasing order.\nAnswer: o, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24910 and 7550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 60 = 39. Let j = y + -23. Suppose -10 = -5*o - 3*a + a, 2*o - 2*a = -j. Solve 2*l = -o*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/3, -26614911 in descending order.\nAnswer: 0.3, -2\/3, -26614911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.45275651 and 4.\nAnswer: -0.45275651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)*y\/(y*y*y*y**(-34)*y)*(y**(-3))**(3\/11) assuming y is positive.\nAnswer: y**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -5. Let v = 17 - w. Let g(z) = 2*z**2 - 5*z - 5. Let s(o) = -o**2 + 2*o + 2. Let t(j) = v*s(j) + 2*g(j). Let p(y) = 2*y**2. Calculate t(p(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 2. Let w(d) = -2*d + 1 + 0*d + d. Suppose -p - 1 = 1. Let h = p + -8. Give h*w(i) + 4*a(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -254, -410, -582?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6012912ml in litres?\nAnswer: 0.0006012912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p**2 - 2*p**3 + p**3 + 3 - 3*p. Let j be 6\/3 + 1\/1. What is w(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*-1*4*6)\/(((sqrt(88) + (sqrt(88)*-2 + sqrt(88) - sqrt(88)))*2)\/(sqrt(11) + (2*sqrt(88))\/sqrt(8))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 465 + -465.0187. Round f to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*n - 3 = -n, 5*n = 15. Let v(u) = -u - 2. Let q = 4 - 1. Let b(d) = -2 + 5 + 2*d + q. Calculate f*b(o) - 8*v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202 + 3?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412308021.\nAnswer: 3, 17, 8084471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00952565 to five decimal places.\nAnswer: -0.00953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834841166?\nAnswer: 2, 23, 47, 386143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 17 + 23 = 5*p, 5*p - 65 = 55*k - 57*k for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15140969 or -15140971?\nAnswer: -15140971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + b + 17 - 5, -6 = 4*m + 2*b. Let j be 2*-1 + (m - (-36)\/6). Put j, -4, 3 in descending order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -6\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1701*a + 702*a + 7*a**3 + 998*a.\nAnswer: 7*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11854 divided by 19\nAnswer: 11854\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 291*y + 261. Give g(-72).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10 = 2*d, 3*c + 2*c + 3*d = -23. Let x be (5485\/(-1370) + 4)*c. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 111 + 1 = k, -5559*j + 5546*j = 2*k + 385 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**2. Let a(g) be the second derivative of g**4\/12 - 6*g. What is z(a(o))?\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqqq when four letters picked without replacement from qpqpq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-910))\/(15*(567\/(-245))\/(-3))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -459780 rounded to the nearest one thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)\/1 - -9. Suppose 5*i + 5*o = 640, o + 437 = l*i - 191. Does 42 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-4 - -10) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6694*m**2 + 13384*m**2 - 6688*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**4 - 110*m**3 - 1712*m**2 + 2*m + 1 wrt m?\nAnswer: 288*m - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 4, -3\/8, -9.86?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, 65, 34, -54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/33)*w)\/w**(-1)*(w**(4\/9)*w)**(-1\/13) assuming w is positive.\nAnswer: w**(193\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.96, 0.1, 2\/3 in ascending order.\nAnswer: 0.1, 2\/3, 0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/253700 and -197\/3309900.\nAnswer: 142325700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Find the third derivative of -2*m**l + 6*m**2 - m**6 - m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0549 - -16.9451. What is the third smallest value in 0.1, a, -0.3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1586 - 1306. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13539 is divided by 6667.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a - 8. Let u be b(-6). Let x = u - -66. Solve -x = f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 854.6 * 3704\nAnswer: 3165438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28465.8km to micrometers.\nAnswer: 28465800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -1.2 (c) -267 (d) -2\/5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86208724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(y*y**(-29)*y))*y**(-5\/13)\/y assuming y is positive.\nAnswer: y**(-382\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127 and 5207?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -640503 + -4325?\nAnswer: -645131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -549*o - 1202. What are the prime factors of m(-9)?\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-5)\/l)*l**(-4)*(l\/((l**5*l)\/l))\/(l**1*l) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 8. Let m = -249 + 629. Suppose b - 2*k - 90 = 0, 5*b + 5*k - k = m. Calculate the remainder when b is divided by g(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 5*x)*(6*x - 3*x - 2 - x)*(-2698 - 2055*x + 2698).\nAnswer: -16440*x**3 + 16440*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13872.27 + -13972. Let j = d - -99. Let y = j + 0.03. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -364 (b) 1\/4 (c) -0.6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227342243 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88.840837 + -0.142163. Let c = -89 - s. What is c rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saan. What is prob of sequence sa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 2. Let j(p) = p**3 - 9*p**2 + 4*p - 24. Let y be j(9). Let o be -3 - (24\/(-14) - y\/42). Calculate the lowest common multiple of z(o) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1230 divide 11626747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**4\/8 - 7*y**3\/6 - 11*y**2. Let r(o) = o + 2 + 1 + 0. Let s(z) = -3*f(z) - 7*r(z). Let l(q) = -2*q**2. What is s(l(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1490 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 33*v + 40 = 38*v, -8 = -4*v for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4, 3*t = -2*t - a - 2. Suppose -32 = -2*u - t*u. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/330 - 20*u**4\/33 + 83*u**3\/11 - 983*u**2. Factor k(o).\nAnswer: -2*(o - 3)*(o + 83)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77361 divided by -1.\nAnswer: -77361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/96 + 11)*(-4)\/(-9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 19, 8, 0.11, -144?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + 3*q)*(-2 - 1 + 4) + (-3 - 3 + 5)*(5 - 5 - 2*q)*(1053 - 290 - 223).\nAnswer: 1078*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 7*v**2 - 1 - 8\/3*v**3 - 4*v - 2*v**4. Factor l(j).\nAnswer: -2*(j + 2)*(2*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/11, -2, 9.68?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88773608 to the nearest integer?\nAnswer: 9422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -102817 + -6.96\nAnswer: -102823.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -40 - (0 + (0 - 3)) - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:16 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let s(w) be the third derivative of 8*w**5\/15 + w**2 + 6. Determine y(s(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1245 - -2487\/2. Let w = -0.236 - -5.146. Let s = w + 0.09. What is the closest to 0.1 in s, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9254 to the nearest one hundred.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o = 14*o + 360 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 2018030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m + 1. Let w be o(2). Let n = 78 - w. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 40 = 0. Suppose -3*d + 8 = -5*r + 21, -4*d = -r - 11. Calculate the lowest common multiple of d and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let v(b) = -b + 5. Let i be v(7). Let p be ((-16)\/120)\/(i\/(-3)). Put p, -0.3, h in increasing order.\nAnswer: -0.3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22729.\nAnswer: 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 41988.\nAnswer: 41991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703319521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28ba845 - -3?\nAnswer: 28ba848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 96 + 0*p - 8*p)*(p**4 + p**4 - 3*p**4).\nAnswer: 8*p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b + 1. Let g be i(-2). Let n(p) = p**3 + 9*p**2 + 2*p. Let s be n(g). Let o = s - -111. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 11*n + 5. Let v be h(5). Suppose -m + v*j = 3*j + 3, -4*j = -2*m + 44. Calculate the highest common divisor of 108 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 12*m + 150 = 0. Suppose d + 3*v - m = 8*v, 4*d - 38 = -2*v. Solve -10 = -d*k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2559.89 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 212676120 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o + 6, 5 = n - 2*o. Suppose n*q - 74 = 1. What is the remainder when 98 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 13 = 2*d - 39, -3*d = -j - 19. Solve d = 3*g - g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026482199*i**2 + 513241106*i**2 + 513241090*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from jvikkijrvhvjjki?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -38*(-3 - 1 - -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:46 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1503 - -1545. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8281 to two decimal places.\nAnswer: -3.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -15. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23954995868\/33 - -3379295214920\/4653. Let x = z + -352632. Let q = x - -2\/47. What is the closest to -1 in 2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/60 - (-357)\/(-595). Factor 1\/2*i + 3\/4 - v*i**2.\nAnswer: -(i - 3)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -343?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.71911925 - 182\nAnswer: -185.71911925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 360\/30*(-362)\/(-4) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203736667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*m = -0*w - 5, -5*w = m - 23. Suppose 3*v - v = w. What is the derivative of 2 - l**v - 3 + 0 + 0*l**2 wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1\/3, 2\/7 in descending order.\nAnswer: 1\/3, 2\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -662 + -1?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134230 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/1260*-812*1*3. Solve -44 = k*y + 43 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1705554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + 15\/6. Let v(g) = 0*g**y - 3*g**2 + g**2. Let t(z) = 6*z - z - 4*z + z. What is v(t(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 5. Let h be f(-7). What is the second derivative of -4*k**2 + 2*k + k**h - k**2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-24)*(-15)\/(-9). Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9913 + -9833. Solve -22*q - m = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsqqqqqqnsnnnq. Give prob of picking 1 s and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 21\/2*r**4 + 0*r**3 - 32 + 0*r**2 - 9*r. Differentiate g(i) with respect to i.\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**2\/2 + 2*l - 25. Let y(u) = 5*u - 5. Calculate -5*w(g) - 2*y(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*d*d\/(d\/(d**(2\/5)\/d))))*d*d)**(-23)\/(((d**(-18)\/d)\/d)\/d*(d**13*d*d)\/d))**4 assuming d is positive.\nAnswer: d**(-964\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 4*u**2 + 0*u**2 + 0*u**2 - 6*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3379.641 and 5.\nAnswer: -16898.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6859761*d**3 - 4*d - 53357253 wrt d.\nAnswer: 20579283*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33324 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 288*d - 4. Let v be j(-1). What is the common denominator of (v\/24)\/((-5)\/(-15)) and 79\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2469816 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/5 - (-2)\/(-7). Put n, -1, 2\/19 in decreasing order.\nAnswer: 2\/19, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 50. Let z be b(-16). Is 319*4*((-14)\/8 + z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 671 and 55?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 4:53 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.2755 days in hours?\nAnswer: 12966.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32453 divided by -8267?\nAnswer: -32453\/8267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1265\/144 + 113\/16. Calculate the common denominator of -27\/38 and w.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/28363 or -16.9?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79366*d**2 - 86*d - 995?\nAnswer: 158732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 56074795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -590, 3, 11, 11\/2, 4, 2, 0.1 in decreasing order.\nAnswer: 11, 11\/2, 4, 3, 2, 0.1, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**2 + 28*t - 16.\nAnswer: -2*(t - 2)*(5*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m\/(m**(-1)\/m))\/m))\/m**(-3\/17))**(-14))**(-4\/19) assuming m is positive.\nAnswer: m**(-1736\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9 + 13 - 2*p + 232*p**2 - 233*p**2 + 0. Let s = -11 + 7. Let i(w) = -2*w**2 - 4*w + 9. Suppose 4*u = -1 + 37. Calculate s*i(r) + u*h(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o*s**4 - o*s + 11*o + 52*s**3 - 2*s**2 + 269 wrt s.\nAnswer: -168*o*s + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 61. Suppose 0 = m*y - 5*n - 25, y = -0*y - 4*n - 20. Is (-83 + y)\/((-4)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z - 17 = 131 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301094310 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6294*f - 7379*f + 3667*f.\nAnswer: -10006*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 357811*x - 20. Let j be q(19). Let b = 11388389 - j. What is b rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 11) + (32 - 20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 4, -4, -3, 2\/15, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97760 is divided by 265?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - 334*j - 15183. Give y(-31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 940\/73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11793, -2, -0.4, 3 in decreasing order.\nAnswer: 11793, 3, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**7\/840 - u**6\/60 - u**5\/20 - u**4\/8 + 13*u**3\/6 + 22*u**2 - u. Let r(p) be the first derivative of z(p). Calculate r(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*n**2 - 4*n**2 - 8 + 3*n**2.\nAnswer: n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1840874, -1840896, -1840918?\n\"Answer: -22*w - 1840852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 224427 divided by -409\nAnswer: -224427\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3662, 13395, 29194, 51059, 78990, 112987?\nAnswer: 153050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8014 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 3*f + 1. Let g be j(3). Let k = 2 + 6. Let n = 7.95 - k. Is g greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134736)\/(-303156)*9*2\/128.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Which is the closest to -1? (a) 2 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnnnnnnnd. What is prob of picking 2 d and 2 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2801529, 0.05 in increasing order.\nAnswer: -2801529, 0.05, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 6*s**3 - 7*s**3 + 7*s**3 + s + 3*s**3 - 1 + 2*s**4 + s**2 to q*s + m*s**4 + g + r*s**2 + c*s**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 45*n**4 - 240*n**3 + 260*n**2 = 0 for n.\nAnswer: -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161\/190 - 17\/38. Let 4\/5*j**4 - 2\/5*j - 6\/5*j**2 + b*j**3 + 2\/5 = 0. Calculate j.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k + 101400000. What is k rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36403 (base 9) in base 13?\nAnswer: -b139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -841 - -844. Let r = 14 + -29\/2. Which is the nearest to 1? (a) r (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15358 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: How many minutes are there between 7:46 AM and 10:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**2 + 10*j - 1. Let g be i(-5). List the prime factors of (-1)\/(-5) + 396\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32250 - -14119. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a**3 + 2*a**2 + 11. Calculate o(-5).\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 267049 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545 + -545.000348. Round n to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3545*y = 722*y + 2753*y - 7020 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5297\/4 + 1338. Let q = -35228 + 140899\/4. What is the common denominator of q and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/50 and -13\/3990.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122100002 + -200011?\nAnswer: 11121122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(47\/(-10) - -5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + 38*k**2 - 4*k + 8. Let m(u) = 31*u**3 + 239*u**2 - 25*u + 49. Give -19*g(f) + 3*m(f).\nAnswer: -2*f**3 - 5*f**2 + f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((72\/(-15))\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 167394.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12816010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/2)\/(11\/(-2)) - (-321 - -326)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183\/4 + 46. Let u = -95 + 100. What is the second biggest value in 14, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/9)\/(k\/k**(-2\/25)*k) assuming k is positive.\nAnswer: k**(-493\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 3, i: 2}. What is prob of picking 2 x and 2 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-527800)\/42)\/29)\/(-3 - 75\/(-27)). What is the highest common factor of o and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4686435)\/(-165) + (-68)\/(-187) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030 (base 4) in base 10?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 104 = -5*r, r + 8 = -b - 3*b. Let q = -1039\/210 + 92\/105. Calculate the common denominator of q and (0 - 94\/r)\/1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3487 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 - 5*b + 3. Let s be d(3). Let p(g) = -g - 3. Let u be p(s). Suppose -o - 27 = -4*o. Solve t - 4*t - o = u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3 + 53*m**2\/2 + 2*m - 147. What is the least common multiple of 55 and g(-18)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 373995 and 58177.\nAnswer: 2617965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:20 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 5}. Give prob of sequence ffff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27288 divided by -9\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328, 2388, 3388, 4346, 5280, 6208, 7148, 8118?\nAnswer: 9136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*k + 29 + 37, 2*k - o - 31 = 0. What is the second derivative of 9 - k*x + 9 + 13 - 63*x**4 - 33 wrt x?\nAnswer: -756*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17291 smaller than -17269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29632, -29314, -28996?\n\"Answer: 318*s - 29950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 439*p + 5521. Calculate g(99).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(-5)\/(-15). What is the closest to 0 in 2\/5, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 173574103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2519*r - 1966*r + 4012*r in the form s*r + z and give s.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = -85 + 153. Solve -n - d*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujssssu. What is prob of sequence usj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 5\/12*q**4 + q**2 - 1\/6*q**3 + 0 + 5*q. What is the least common multiple of 4 and x(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.9 + 26.9. What is the biggest value in 12, 1\/3, t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-96713.\nAnswer: -580278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.592 - 496344?\nAnswer: -496521.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878 = -15*g - 61*g + 262 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101 (b) -1\/7 (c) 9\/1021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0.004.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (((sqrt(612) - (sqrt(612) + (sqrt(612) - -4*(-1 + sqrt(612))))) + -1 + 1*sqrt(612))*1 - ((1 + sqrt(612))*-4 + 2 + sqrt(612) + 1)))**2.\nAnswer: -12*sqrt(17) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4697.0002527 - -4697. Round c to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 109*b**3 + 42*b - 8. Let p(q) = 54*q**3 + 21*q - 3. Let z(g) = 2*h(g) - 5*p(g). Find the second derivative of z(o) wrt o.\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 342015.\nAnswer: 6840300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*p - 18, -2*a - 7 = p - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.7 (b) 6 (c) -7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 30) + 1 + -4 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixuubviuuiviuubiuv. What is prob of picking 1 x, 2 i, and 1 v?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19496.\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 671, 2588, 5783, 10256, 16007, 23036?\n\"Answer: 639*a**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -923 + 919. What is the closest to -19 in b, -3\/8, 25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 4*z**2 + z**2)*(8 - 8 + 17)*(-z + 0*z + 2*z) as w*z**3 + c*z**2 + d + f*z and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 516342 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: Calculate the common denominator of 119\/36954 and -71\/20530.\nAnswer: 184770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 10*v - 3. Let p(s) = s**2 - s + 1. Let y(b) = -g(b) - 2*p(b). Let f be y(-10). Let r = f - -23. Let h(i) = -i**2 + 8*i + 3. Determine h(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 + b - 2. Let v be t(4). Suppose v*s - s = 23. Let z(q) = -1116*q - 4459. What is the remainder when s is divided by z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-2) - 2) + 1. Let p = -1859 + 1874. Calculate the greatest common divisor of m and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09832 * 0.3.\nAnswer: -0.029496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481 + -474. Let a(j) = -2*j**3 - 3*j**2 - 4*j. Let v be a(-3). Suppose t*n - 59 = v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2991125596?\nAnswer: 2, 53, 59, 239137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - r - 1. Let o(w) = 4*w**3 + w**2 + w + 1. Let k(m) = 2*j(m) + 2*o(m). Factor k(y).\nAnswer: 2*y**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395033490 to the power of 1\/3, to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14)*(910602\/(-36))\/219\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Let v be 16\/((8\/(-6))\/2). Let t be 6\/(-40) + v\/40. What is the nearest to 1 in u, 3\/7, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 15*u - 16.\nAnswer: (u - 1)*(u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*u - 113*u - 105 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 12 = 15*l. Let t(a) = 2*a**3 - 6*a**2 - 5*a - 12. What is the units digit of t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122273 at most as big as -122272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -429 + 423. Sort -8, 5, a, -3.\nAnswer: -8, a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a factor of 118186029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266240010.\nAnswer: 2, 3, 5, 29, 306023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 0. Solve 5*x - 10 = 3*x + 2*l, -5*l - y = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -3\/4 (b) -3\/5 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 270*b + 6209. Calculate c(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/8 + n**3 - 93*n**2 + 33. Let c(v) be the second derivative of p(v). Let j(t) = 2*t**2. Give c(j(x)).\nAnswer: 6*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2601572, -2601574, -2601576, -2601578, -2601580?\n\"Answer: -2*h - 2601570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41330323 - -23?\nAnswer: -41330300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*b**2*n**4 + 31*b**2*n**3 - 376*b**2 + 4 wrt n.\nAnswer: -228*b**2*n**3 + 93*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, p: 1, w: 1, b: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3855 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -5*w**3\/6 - 11*w**2\/2 - 4*w. Let d be z(-5). List the prime factors of 52\/d - 2\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10351, -10438, -10571, -10774, -11071, -11486, -12043, -12766?\nAnswer: -13679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5633140 and 18\/781.\nAnswer: 61964540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75627 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24577 divided by -4?\nAnswer: -24577\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248595 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55971 times 1210?\nAnswer: -677.2491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g + 5. Suppose -2*u = 5 + 7. Does 3 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224\/5 - 45. Sort 4, -7, t, 0 in decreasing order.\nAnswer: 4, 0, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, z: 1}. Give prob of sequence xz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 o when three letters picked without replacement from {w: 1, e: 1, r: 1, x: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6353888 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2258 + -2254. Solve -5 = 2*i - u, -u - s*u = -3*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*38\/(-2090)*75\/9.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4248 = -628*k - 1108 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 2*g**2 - 3*g. Let r be o(3). Let z = 32 + -2. Suppose z = 2*a - r*a. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3200*q + 1589*q + 1615*q + 4*f + 64, q + 76 = -4*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12311*p + 21511 wrt p?\nAnswer: 12311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g + 3*i = 78, -g + 5*i + 54 = 0. Calculate the greatest common factor of g and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -37.903. Let t = 7.015 - 7. Let k = t + y. What is k rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41513 = -u + 63530. Calculate the greatest common factor of 123 and u.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-19 + (7 - -16) + -18)) + -1 + 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.370232 millennia to months.\nAnswer: 88442.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/12*6*-2. Let f = 28 + a. Suppose 0*b + 3*b - 51 = f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16785090 and 8694.\nAnswer: 386057070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p - 4. Let d be (-3)\/6 - (-5)\/2. Let z(h) = 4*h + 1. Calculate d*w(g) + 9*z(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1 - (-88)\/56)\/((-2)\/(-14)) and 190.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let k = 0 + a. Solve k = -p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**5\/20 + m**3\/6 + 143*m**2\/2 - 35*m. Suppose 2*r + 3*x = -12, -r = -2*r - 4*x - 16. What is the tens digit of o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007985 * -0.02.\nAnswer: 0.0001597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*j + 217, -4*j + 157 + 104 = -b. Let u(g) = -j*g - 3*g**2 + 64*g. Let k(o) = -6*o. What is k(u(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2400)\/(-170) - 9 - (-10)\/(0 + -2). Let q be 1\/3 + (-222)\/(-90). Is l greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 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: Let u = 0.35 - 0.11. Let i = 0.14 - u. Let k = 10 - 7. What is the closest to i in -2, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + -3)) + 30576\/7938 + 2*-4.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 106. Let w = 54 - j. Let v = 6 + -6. Sort w, v, 0.5 in descending order.\nAnswer: w, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337072 times 0.1\nAnswer: 33707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, 22, 2\/3 in descending order.\nAnswer: 22, 2\/3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 + -45 + 14 + -5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)*2 + 4*(-2 + sqrt(76)))**2 - ((-2*sqrt(76) + sqrt(76))**2*2 + 6*(sqrt(76) + 1 + sqrt(76))).\nAnswer: -344*sqrt(19) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a day in minutes?\nAnswer: 26280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97582585 divided by -1.\nAnswer: -97582585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4872403212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11893 - -11900. Solve -y*j - 85 = -43 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 26. Suppose 2 + q = 2*g. Calculate the remainder when 14 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let j(l) = l**3 + 4*l**2 - 6*l - 9. Let p be j(-6). Let w be 24\/9*p\/b. What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22 - 304\/(-48256)*-3482 and -3\/1885.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3 + 4\/3. Put -0.3, -5, u in ascending order.\nAnswer: -5, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004 a factor of 3900816601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 2\/3*h**3 - 7*h**2 + 1\/120*h**6 - 5\/12*h**4 + 3\/20*h**5 + 0*h + 2. What is f(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 16, i: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3024 = -3018 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -0.5, -4, -5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1195.10453 - -0.09547. What is s rounded to the nearest ten?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/121402 and 47\/61302?\nAnswer: 6191502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-8) - (-18)\/72. Let t(n) = k*n - n + 8*n - 4*n. Let p(v) = v**2. Calculate t(p(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61342 != 5827464\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -j - 39. Let i = -65 - j. Let p(y) = 15*y**2 - 4*y - 6. Let g(t) = 14*t**2 - 3*t - 5. Let r(n) = i*p(n) - 6*g(n). Factor r(m).\nAnswer: -m*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 654259776 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -3073?\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2563 = 15*w - 1142. Is 73 a factor of -4*(w\/(-4) + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7 minus -5?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 10. Let v = 6 + -5.5. Let a(u) = -u**2 + 2*u - 1. Let i be a(3). Sort g, i, v, -6.\nAnswer: -6, i, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 n when four letters picked without replacement from {y: 1, t: 4, n: 3, q: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + l + 18*l)*(-1 - 2 + 4) + 3*l - 1 - 4*l - l in the form n + u*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (2 - 2) - (4253 + -4219)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 + 0.1. Let x = 4.518 + -2.518. Put -0.5, i, x, 6 in increasing order.\nAnswer: -0.5, x, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -92*y - 28. What are the prime factors of w(-4)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - 15. Let z = -237.7 - -182.81. Let t = z - y. Round t to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59855 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = 9. Solve 0*q + 12 = l*q, 3*g - 5*q + 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l - 426 = -m + 4*m, 2*m - 2*l = -7*l + 8*l + 51 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59054066?\nAnswer: 2, 2341, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 53 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 94.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q - 9. Let n(l) = 58*l + 48. Let r(t) = -16*d(t) - 3*n(t). Let i(v) = 2*v + 88. Give i(r(j)).\nAnswer: 4*j + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-9 - -3)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22156 by 116.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2. Let a(m) = 15*m**2 - 1. Let g(l) = 4*a(l) - 11*s(l). List the prime factors of g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + 0.0717?\nAnswer: 0.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*f + 28, -5*f + 2*y + 85 = 17. Solve -4*l - f = -2*l - 2*o, 4*l - 5*o + 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1539)*1)**2 + -5 - ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 4*(sqrt(1539) + -1))) - sqrt(1539))**2 - sqrt(1539)))*-6*-5*2.\nAnswer: -4159080 + 53460*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3939743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1657 divided by -1005\nAnswer: -1657\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.96301571 to 3 dps.\nAnswer: 0.963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.9 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6608\/(-210))\/118)\/((-4)\/(-50))*2\/(-6).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7*x = -3*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -426, -899, -1366, -1827?\n\"Answer: 3*q**2 - 482*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 3*n + n to x*n + w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-68))\/(-49*(-55)\/(-770))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1229.5 + 1229. Suppose 24 = a + 4*u, -4*a + 54 = 2*u - 0*u. Let j be (3\/(-9))\/((-2)\/a). Is j smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785127 rounded to the nearest 1000?\nAnswer: -785000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x + 182. Give z(11).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, 1 in decreasing order.\nAnswer: 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Suppose 4*q + 45 = d, -b*d + 2*d - 41 = 4*q. Let g = 17 + q. Calculate the least common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 169 = -3*w, 3*u = 3*w + 113 + 64. Let k = w + 118. What is the greatest common factor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.407084ml in litres?\nAnswer: 0.004407084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/8)\/(8\/48) + (-208)\/2048*-24.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/7*k**3 - 6\/7*k**5 + 0*k + 0 - 4\/7*k**2 + 4\/7*k**4 = 0. What is k?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12749 and 3477.\nAnswer: 38247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(2*sqrt(320) + sqrt(320) + sqrt(320)))\/(-1*3*sqrt(400)).\nAnswer: -sqrt(13)\/960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/38 and 161\/1584630.\nAnswer: 30107970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 3. Let q(l) = -2*l + 8. Let o(m) = 8*h(m) - 3*q(m). Suppose -3*s + 2 = -2*s. Suppose -2*c - 4 = -5*b - 0*b, -16 = -4*c - s*b. Give o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/15 + 1666*f**3\/5 + 156998*f**2\/15 - 116314*f\/5 - 33396 = 0. What is f?\nAnswer: -33, -1, 3, 2530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)*63\/42. Suppose 9 - 28 = -3*s + 2*b, -4*b - 11 = 3*s. Let w be k\/((-18)\/20) - s. Do w and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6717 - 20418 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from flltfclcctclqt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 17. Let w be o(-10). Let i(l) = -l**3 + 3*l**2 - 3*l + 4. Give i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -y. Let j be y\/(-14) + 760\/(-35). What is the units digit of (-3)\/6 + j\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, 26, -26, -45.\nAnswer: -45, -26, -5, -3, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(32\/36)*(-1152)\/(-216).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -65 (b) 2\/5 (c) 1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3345 = 3*r + 2*v, 2*r + 3*v - 4461 = -2*r. Is r less than 1110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*i*l**3 + 7*b**3*i*l - 556*b**3*l**4 + 24*b**2*l**2 - 2*i*l - l**2 wrt l?\nAnswer: 18*b**3*i - 13344*b**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 1 - 1 + 5*n + n + n - 10*n + 2*n + 2*n + (4*n - 5*n + 3*n)*(2 - 2 - 2) - 5*n + n + 3*n to l*n + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(12\/(-21) - 4\/(-6)). Suppose 3*z - 10*z = -t. Calculate the remainder when 83 is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 42*l - 11*l - 13*l - 15*l. Let k(d) = -38*d**2 - 2*d. What is k(m(n))?\nAnswer: -342*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-56))\/3*7\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190336 and 4208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/30 - q**5\/12 + 13*q**4\/24 + 2*q**2. Let d(m) be the second derivative of t(m). List the prime factors of d(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029791095 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3272?\nAnswer: -3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*-5*6\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdfpfuukjfkf. What is prob of sequence fd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 3. Let v(l) = -l**2 + 6*l. Let p(j) = 2*j**2 - 11*j. Let i(n) = -6*p(n) - 11*v(n). Determine i(h(b)).\nAnswer: -36*b**2 + 36*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -3\/11, 1053, 0 in increasing order.\nAnswer: -5, -3\/11, -0.1, 0, 1053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 8 - (12 + -7 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/54 - (-24)\/27. Factor 0 + 0*x**3 - i*x**5 + 4\/3*x**4 + 0*x**2 + 0*x.\nAnswer: -2*x**4*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19362)\/(-245) - (-2)\/5. Let v = 6990\/91 - h. Find the common denominator of -119\/6 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 + 13*l**2 - 80)*(2 - 2 + 2) + (-4*l - 4 + 4)*(-2*l - 5*l + 5*l).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/(2\/6). Suppose 2*k - k = 12. Let a be (-1)\/6 + 26\/k. Put f, a, 3 in descending order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50015148 is divided by 9622.\nAnswer: 9614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4147, -5888, -7629, -9370, -11111?\n\"Answer: -1741*w - 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17996 is divided by 70.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16861*o**6 - 1436*o**4 - 32*o**2 + 916690?\nAnswer: 2023320*o**3 - 34464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.16, 0.5, 3\/217?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*d**6 - 10070*d**3*n - 13*d**2*n - d*n + 3*d + 95*n + 6 wrt d?\nAnswer: 30120*d**3 - 60420*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - p**3 - p**3)*(p**2 - 4*p**2 + 2*p**2) + 2*p**4 - 2*p**4 + p**5 + 3*p**5 + 5*p**5 - 5*p**5.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*g - 10*g + 22, 2*g - 5 = -3*z. What is the remainder when 19 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 4*l\/5 + 4.\nAnswer: -(l + 2)*(3*l - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.62 (c) -13 (d) 114 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 989 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 782*-3\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34455 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 3 = -12*k. Let z = 0.546 - 0.046. Let t = -52 - -262\/5. Which is the fourth smallest value? (a) k (b) z (c) t (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -95947585 - -4?\nAnswer: -95947581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -874910.3 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmf when three letters picked without replacement from {m: 6, f: 2, k: 1, r: 2, n: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:47 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 25*s + 10*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19831, -39662, -59493?\nAnswer: -79324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94353.22t in milligrams?\nAnswer: 94353220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -35*g - 1344. Give b(-40).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1*h*h*h*h\/((h\/(h**(-1\/5)\/h)*h)\/h)*h*h*h\/h**1*((h*h**(2\/19))\/h)\/h assuming h is positive.\nAnswer: h**(371\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 70*u + 687393*u**2 - 343732*u**2 - 343904*u**2 - 7*u**3 = 0?\nAnswer: -35, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 2*r = 128. Calculate the remainder when 62 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93079\/78 - 7159\/6. Suppose 0 = -3*l + o + 6, 45 = 5*l + 5*o + 15. Let z = 2.5 - 3. Which is the closest to 0? (a) z (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 + 4. Let i be w(-6). Suppose -4 = 2*r + 2*k, -2*k - 1 - 1 = 3*r. Put i, r, -2 in ascending order.\nAnswer: -2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-349 - 353 + 407)*(6*j**2 - j**2 - 3*j**2 + 3*j**5).\nAnswer: -885*j**5 - 590*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + f**4 + 0*f**4 + (1 - 1 - f)*(1 - 2*f**3 - 1) - 2*f**3 + 2*f**3 + 5*f**4.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 29357328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3435.7474507 + -298506.0485407. Let s = -295089.4 - r. Let w = s - -19.1. Round w to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 209*z**2 - 43005*z - 8670325\/3.\nAnswer: -(z + 157)*(z + 235)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10571116*y**4 + 6891*y**2 + 689 wrt y.\nAnswer: -253706784*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1647*h**4 - 19106*h**3 + 3*h**2 - 410936283*h wrt h?\nAnswer: 19764*h**2 - 114636*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1015 + -1015. Solve 4*l - 16*l + 48 = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d - 1. Let u be k(1). Let p be (-16 - -24) + 3\/1. Suppose -3*o + 10 = -p. Solve -2*v + u = -o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 18)*(0*d + 3*d - 5*d).\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 26. What is the remainder when 87 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000835 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 2*o**4 - 3*o**4 + (-186 + 8*o + 186)*(-o**3 - o**3 + 3*o**3) - 2*o + 2*o - o**4 to the form f*o + x*o**2 + c*o**3 + a + j*o**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40178 = -6*f - 6896 + 29190. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3\/(84\/148).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 10*f - 36. Is 54 a factor of c(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.78 and 0.340151353977.\nAnswer: 1.120151353977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1022\/584)\/7)\/((-1)\/(-392))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16919280 and -25\/1344.\nAnswer: 67677120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 713931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*p**4 + 4809*p + 1850223 wrt p?\nAnswer: -64*p**3 + 4809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*g - 6, 472*n + 3*g = 469*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18665235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - -54. Suppose o + o = 3*d - v, d - 94 = 4*o. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8*-26.\nAnswer: 72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**5 - 2 + 35*o**5 + 870*o**3 - 844*o**3 - 37*o**5 - 21*o**2 + 21*o**2 + (0*o**4 - o**5 + 0*o**4)*(2 + 1 - 1).\nAnswer: -13*o**5 + 26*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -39*i**4\/5 - 23229*i**3 - 43345737*i**2\/5 - 864540831*i + 4027213476\/5 = 0.\nAnswer: -2561, -209, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 + 4*i**2 - i - 4. Let d(o) = -20*o**3 - 9*o**2 + 2*o + 8. Let x(y) = 4*d(y) + 9*t(y). Let f(a) = -3*a**3 + 2*a + 9. Calculate 3*f(m) + 7*x(m).\nAnswer: -2*m**3 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -148.8, -4\/9, 5, -3, 91?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 6496 (c) -3 (d) 48\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 4\/17, 8 in decreasing order.\nAnswer: 49, 8, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-27) - 138092\/(-98118).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/60 + p**5\/60 - 5*p**4\/24 + p**3\/3 - 27*p**2. Let f(w) = 3*w**3. Let g be f(1). What is the tens digit of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -19.7. Let s = y - -8. Which is the smallest value? (a) -1\/5 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 plus -2083579?\nAnswer: -2083497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r)*(-3 - 1 + 6)*(1 - 3 + 0)*(6 + 7*r**4 - 6).\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -997 less than -995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 666 - 1109 + 491 + 7*o**2 in the form c*o**2 + p*o + a and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 7:18 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*g - 35, 0 = 4*f + f - g - 23. Suppose -2*s - 24 = -f*s. Solve 0 = 3*i + h + 5, 5*i + 3*h - 5*h = -s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -22*y. Let q(f) = -10*f. Let k(o) = -4*c(o) + 9*q(o). Let n(w) = -27*w**2 + 35*w + 1. Give k(n(x)).\nAnswer: 54*x**2 - 70*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 47\/2. Let l = -13 - -15. Which is the nearest to l? (a) h (b) -3\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -114, -121, -124?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -185 and -127279\/686 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 take away 10080?\nAnswer: -9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 77*z + 1650. Calculate i(-21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -788*b**3*s**4 - 1159*b**3 - 14*b*s**3 - 6*s**4 - 1250*s**2 wrt s?\nAnswer: -18912*b**3*s - 84*b - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:22 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/2, 3889, -2, 9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 389797, 1559262, 3508399, 6237214, 9745713, 14033902?\n\"Answer: a**3 + 389830*a**2 - 32*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let n be (8\/(-60)*-5)\/(24\/36). Determine u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 188159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 - 4)*(883*i**2 - 2526*i**2 + 979*i**2).\nAnswer: -2656*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -22*t**3\/9 - 23*t**2\/3 - 4*t\/3 + 325. Factor p(y).\nAnswer: -2*(y + 2)*(11*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -989 - 2689 = -5*j - 2*d, -d = 3*j - 2206. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (51 - 38 - (-3 + 9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 509833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1706)\/1248 + 2 - ((-4077)\/117 - -35) and 47\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 9. Let b(i) = -2*i + 44. Let x be b(14). Suppose 4*c - 9 = u, 4*c + x = -4*u - 20. Determine a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let l(x) = -2*x + 7. What is -l(d) - 3*n(d)?\nAnswer: -d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 15*n**2 - 15*n - 5. Let u be t(-16). Which is smaller: u or -39\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4159e?\nAnswer: 4159e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/5)*h))**41*(((h**(3\/4)*h)\/h)\/h*h)\/h*h*h**(-7) assuming h is positive.\nAnswer: h**(-1109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352290.\nAnswer: 2, 3, 5, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6234.003ml to litres.\nAnswer: 6.234003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59312 divided by -674?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 311 + -315. Let k be (5\/3)\/(b\/(-108)). What is the greatest common factor of k and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -5133.\nAnswer: -2566.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 - 265*b**2 - 850*b + 562. Calculate k(56).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - -11121231103?\nAnswer: 11121230210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 18631683377.\nAnswer: 18631683390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(-4*t - 3*t - 54*t) - t - 2*t + 4*t - 8*t + 4*t + 3*t in the form p*t + s and give p.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -927159 divided by -2?\nAnswer: 927159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3 - 5942*n**2 + 11*n - 279597?\nAnswer: 3*n**2 - 11884*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 - 51 = 50*w + 31*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w. Let p(c) be the third derivative of -2*c**7\/315 - 37*c**4\/24 + 2*c**2 + 24. Let k(b) be the second derivative of p(b). Determine v(k(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 1. Let s(g) = g**2 - g - 1. Let r be (-10)\/55 + 13\/11. Let v(f) = r*s(f) + d(f). Let p(j) = -7*j. Determine v(p(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-473)\/55 + (-24)\/(-40) + -1 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*x - c, -c - 9 + 10 = 0. Calculate the greatest common factor of x and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -2?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 407891637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4132, 8416, 12742, 17110, 21520, 25972?\n\"Answer: 21*j**2 + 4221*j - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -79*l**4\/12 + 113*l**3\/6 - l**2\/2 + 50*l - 3. What is the second derivative of v(h) wrt h?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148589316 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -594399*l - 19824 wrt l?\nAnswer: -594399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.33 in -3, 4202, -0.4, -18\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 6633?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/151800 and -155\/594.\nAnswer: 1366200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23987 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3668\/393*(-2 - 67\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 863\/10 + -9911\/120. Calculate the common denominator of 31\/33 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + ((-1)\/(-2) - (-7)\/14). Let w be 1\/(-5) - 15\/(-75). Put w, -5, k in descending order.\nAnswer: k, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w. Let g(b) = b**3 - 7*b**2 - 8*b. Let s(c) = -g(c) + 4*i(c). Let q be s(4). Solve -2 = n - q, 3*r = n + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15\/8)\/(t\/t**(-8)))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 11*a + 13. Let g be j(-9). Let x = g + 8. Solve 2*w + w = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*s**3 - 5*s**2 - s**2 + 7*s**2 + (-2*s**2 + 478*s - 480*s + 0*s**2)*(s - 2*s - 3*s) in the form k*s + r*s**2 + o*s**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-61920)\/2400 - (19\/(-5) - -2 - -1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -945944 by -106.\nAnswer: 8924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12483 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4895588 or 4895589?\nAnswer: 4895589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4.3, -3, 5\/4, 6, 4, -4, -0.61?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 3. Let s(u) = -2*u - 7. Let a(t) = 5*j(t) + 2*s(t). Let c be 2\/4 - 18\/12. Let n(h) = -1. Let y(v) = c*a(v) - n(v). Let r(w) = 2*w. Give r(y(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1000 + -997. Let z(w) = -39 + 5 + 13 + 2 + 9 + u*w. Calculate z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6a + -4db?\nAnswer: 56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 13*p + 0*p**4 + 0 - 1\/60*p**5 + p**2 + 7\/18*p**3. Let c(f) = 0. What is f?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3128534 + -3128603.00318. Let n = 69 + d. What is n rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32073 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 3*a - 2*a)*(-27*a**2 + 0*a**2 - 5*a**2) to the form l*a**2 + w*a**3 + p + v*a and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0116 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1338246 and 101\/51870.\nAnswer: 6691230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(76\/(-8))\/(2\/32). Suppose 4*f + 2*m = 56, -3*m = 4*f - 20 - 32. What is the greatest common divisor of f and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -164*i - 173. Let l be z(-4). Let s = l + -3384\/7. Sort 0.4, 2, s in ascending order.\nAnswer: s, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 2*b)*(-2*b + 2*b + 3*b**2)*(-6 + 9 + 4)*(-4 - 3 + 3).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -151196 divided by -75598\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 36*c**3 - c**2 - 7*c + 16. Let z be y(5). Suppose 9*a = 1133 + z. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -18*6 - -1*2. Suppose 90 = -h - 110*k + 115*k, -3*k + 516 = -5*h. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m - f - 4351, m - 3*f = 1074. Is m a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, 11\/7, 0.97, 6, 3, 101?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 4*i - 3*i**2 + 8 + i**3 + 2*i**2. What is the remainder when 23 is divided by o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212112 + 102?\nAnswer: 1212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 11*x + 22. Let g(c) = -4*c**2 + 32*c - 10. Let s be g(8). Give w(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*m - 8, 0 = -2*v - 2*m - 3*m + 4. Let i = 1 - v. Let w = 3\/5 + -6\/5. What is the biggest value in -4, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483003*c**5 - 4*c**3 + 11900*c - 872?\nAnswer: -9660060*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**2*c*c*c**(-2\/13)*(c**(-2\/3)*c)\/(((c**(1\/7)\/c)\/c*c*c)\/c))**33)**(-25) assuming c is positive.\nAnswer: c**(-603350\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*r**2 + 50*r**2 + 6 - 6.\nAnswer: -383*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 93. What is the remainder when 62 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 4*x)*(-695 - 723 + 1297) - 7 - 1 - 307*x + 21 - 13 to the form o + h*x and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:50 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:16 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.9 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3900)\/175)\/(3\/(-168)). Which is smaller: b or 1249?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3275 + 3785. Calculate the greatest common factor of 10030 and y.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 3. Suppose -3*o + 15 = 2*n, -o + n = -n - 5. Let b(r) = -4*r - 4. Give o*m(k) - 4*b(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5656*u + 23049 - 7384 + 942*u with respect to u.\nAnswer: 6598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 122. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -38, -67, -114, -185, -286?\n\"Answer: -f**3 - 10*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483687431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = -p, -2*u + u = 5*p + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050 <= 5050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65177 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43351 or 692?\nAnswer: -43351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvzvdddzddddzddzzzd. What is prob of picking 2 d, 1 z, and 1 v?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.6 + 9. Let z = s - -1. Suppose -4*d - 1 = -9. What is the closest to d in 4, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2 - 105*a - 109 wrt a?\nAnswer: -2*a - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -20*a. Let o(u) = -40*u + 10*u + 9*u + 5 - 5. Calculate g(o(y)).\nAnswer: 420*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316495129*k*l + 622637238*l wrt k?\nAnswer: -316495129*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q. Let s(f) = -146971*f**2 + 9*f. Determine l(s(x)).\nAnswer: 1763652*x**2 - 108*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*a**2 - 45*a - 168*a**2 - 24*a + 12*a + 25 to j*a**2 + u*a + b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let b(w) be the first derivative of -261*w**2\/2 + 132. What is b(a(h))?\nAnswer: -522*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 709 and 186467?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(33) + -2*sqrt(2673))\/((sqrt(11)*1*1 - sqrt(11)) + sqrt(11)).\nAnswer: -51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7*u + 833 = 3*a, -a = -4*u + 680. Let i = u + -125. What is the smallest common multiple of 6 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-16))\/(2\/(-48)). Let w be h\/(-27) - 134\/6. Let c = w - -41. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -14. Let g = 7 - 3. Suppose g - 28 = -a*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.211002 hours to nanoseconds.\nAnswer: 7959607200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 0*w**3 + 0 + 1\/12*w**4 - 3*w. Let p(o) be the first derivative of o**2 - 1. Calculate n(p(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -x - t, 4*t = -3*x + 2. Let o = 0.02 + 0.28. Which is the second biggest value? (a) -0.1 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(-1)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*b - 6, -5*b + 45 = -2*v + 41. Which is greater: v or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 6) to base 13\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10820 is divided by 2146?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 98\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 1, q: 3, i: 8}. What is prob of sequence qi?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 151867382\nAnswer: 1\/75933691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) - (sqrt(2) + -4*(sqrt(8) - sqrt(2)))))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48910 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -682 - -679. What is the nearest to -0.2 in t, 2, 10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*g + g - 10, 0 = -2*d + 5*g - 10. Let l be (165\/35 - d) + 2\/7. Solve -k - k = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 246 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44749 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: What is the remainder when (1\/11)\/(450\/990)*1115 is divided by 110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 0.18, -9359 in increasing order.\nAnswer: -9359, -0.5, 0.18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(-38*v**2 + 26*v**2 - 30*v**2)*(4*v**2 - 4*v**2 - v**2)*(0 - 5 + 3) - 2*v**2 + 2*v**2 - 2*v**5 + (2 + 2 - 5)*(0*v**5 + 3*v**5 - v**5).\nAnswer: -172*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1776 - -1776.3. What is the second biggest value in r, 2\/3, -14\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70 + 3 + 1\/1. Let s = w - 38. Suppose 0 = -4*f + s + 60. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 - 10*i**3\/3 - 189*i**2 - i. What is z(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 - (1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14) + (-29)\/((-1450)\/165)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -24*q - 35. Is 26828 + q + -2 + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)*-1)\/sqrt(6) - ((sqrt(19) - sqrt(38)\/sqrt(32))**2 + -4).\nAnswer: -107\/16 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + 6 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 523?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -7 + 0 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*y - 2, y - 2*f = 3*y + 6. Let p = y + 4. Suppose 0 = 62*m - 60*m - 14, 3*b + 5 = 5*m. Calculate the least common multiple of b and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 1617 + 1617. Let v(y) = -y. Let p(s) = 2*s + 7. Let b(o) = o + 4. Let n(i) = -7*b(i) + 4*p(i). Let q(z) = -7*n(z) - 6*v(z). Give l(q(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17385 = -19947*p + 20232*p for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 3, z: 2, n: 8}. Give prob of sequence nnz.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -2, 0.05, 4\/453, 1\/5, -4\/5?\nAnswer: 4\/453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*s + 4628 + 2071 + 699 = 0. Let l = 12.6 - 12.3. Let q be ((-8)\/(-14))\/(9\/(-21)). What is the smallest value in s, l, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:18 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*1)\/sqrt(8) - sqrt(32) - (1 + sqrt(32)*1))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 26*v + 48.\nAnswer: (v - 24)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 27 - 42 + 2466*b**2)*(0*b + 2*b + 0*b) to the form m*b**3 + r*b**2 + h*b + y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 96 - 61. Solve 11 = -s + i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -526 + 446538?\nAnswer: 446012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15766 - -15766. Which is the closest to 1\/2? (a) 5 (b) -0.109 (c) z (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 0.08328, -26?\nAnswer: 0.08328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 23 - 9 - 14.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2005 = 5*u - 10*u - 3*h, 2*u - 2*h = 786. Let q = 5172\/13 - u. Which is the third smallest value? (a) q (b) -0.1 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*g - 516 + 1530, 5 = -5*g. Calculate the remainder when y is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632052 minus -0.1?\nAnswer: -632051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8853987 millilitres in litres?\nAnswer: 0.0008853987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2201154.6 months?\nAnswer: 183.42955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 325*m - 15. Is z(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 5*i**2 + 35*i - 111. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:56 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*q = 5, 0 = -a - 2*a - 2*q - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s. Let h(b) = -b + 17. Let c be h(16). Suppose t - c = 1. Suppose p - 3*p + 6 = 0, 0 = -5*a - t*p + 11. Determine f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + -19. Let x(g) = g - 13. Let u be x(-8). Let n = u - v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188296 + 188299.33724. Let g = 0.33678 - y. Let p = -3 - g. Round p to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-28)\/14 + 3\/2). List the prime factors of (84\/(-15))\/(m\/155).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6*j = -2*j + 14, 0 = -3*g - 3*j - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05555 to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 253 or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -518 + 522. Let d = -2 + 5. What is the second biggest value in 1\/7, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + 3*z**2 - 3*z. Let h(u) = -u**2 - 5*u - 3. Let o be h(-5). Let d = -5 - 0. Let j(y) = -6*y**3 - 5*y**2 + 5*y. Determine d*a(v) + o*j(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*p + o, -198 + 254 = 5*p - 5*p - 5*p + 4*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 6370\/167859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - 0 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-590)\/12 + (-639)\/(-3834))\/(-2 - -1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384153995?\nAnswer: 5, 76830799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twelve fifths of a litre?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/704 and -97\/88?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5719894 kilograms to micrograms.\nAnswer: 571989400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - 2*sqrt(189)) + sqrt(84)*2)\/(1*(sqrt(363) - (sqrt(363) + sqrt(363) + (sqrt(363)*-2 + sqrt(363))*-3 + sqrt(363) + sqrt(363) + sqrt(363)))).\nAnswer: -sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509080 divided by 627270?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 12180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 + -102. Suppose -n = -t - 3*z, -2*t + 400 = 2*t + 5*z. Let o be -100*((-48)\/20 - -2). What is the greatest common factor of t and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 3\/7, -2\/13, -0.4, 2\/3, -2706?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -11*j + 24. Let y = j - 0. Let k(n) = y*n + 1 + 17*n**2 - n**3 - 6*n**2 - 11*n**2. What is k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 6*d - 6. Let m(k) = -6*k**2 + 5*k - 5. Let i(q) = 5*f(q) - 6*m(q). Let w(v) = 6*v. What is w(i(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -816934 take away 0.2?\nAnswer: -816934.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100001111 - -10010?\nAnswer: 10000100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -119 (b) -456\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. Let i = 2.5 - 2. Which is the closest to 0.1? (a) l (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663010836 a multiple of 6071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4255*f + 4266*f - f**2 + 2*f**2 - 353 + 94 to c*f**2 + y*f + s and give s.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1db?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m - 1. Let z be b(1). Let d = z - 3. What is the first derivative of -7*k - 2 + 3 + 2 - d wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27211 or 27256?\nAnswer: 27256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -21\/2, -2\/45, -21?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 144969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + 0 - (3 + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 3*t = 6, q - t = 8. Suppose q*x - 27 = -2*m, 0 = m + 4*m + 3*x - 72. Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3769 + 3769 - 7*a + 7*a - 5*a**2. Let x(u) = 3*u**2 + 94*u. Determine x(v(l)).\nAnswer: 75*l**4 - 470*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 51672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from xjtvtxllxmtlllxxmxxt?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -745, -642, -359, 194, 1107, 2470?\n\"Answer: 15*i**3 - 2*i - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*f - 0*l - 32, 3*f - 5*l + 16 = 0. Let o be (f - 0)\/((-6)\/(-4)). Suppose 0 = -o*g + g + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110100100 (base 2) to base 10\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:44 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)*-5 - -2. Solve 2*w + 5 = x*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let c(v) = 2*v - 2*v + 3*v - 5*v + 4. Let j(r) = -c(r) - 5*k(r). Let y(x) = x - 2. Let q be y(3). Determine j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -255.9\nAnswer: 127.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 0*t + 4*t**4 - 3*t - t**2 in the form r + a*t + z*t**3 + i*t**4 + o*t**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*x - 13, 2*m = 3*m + 2*x + 9. Let o be 2 + m + 2 + -1. Solve -2*q = o*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*g + 15 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6936 * 0.014.\nAnswer: 97.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 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: Suppose 3 = -3*b - 60. Let d = -15 - b. What is the highest common factor of 24 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 3\/2 (b) 4\/9 (c) -1 (d) -1355\/9 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 + 162. Find the third derivative of 16*q**2 + t*q**2 - 3*q**3 + 10*q**6 + 21*q**2 - 10*q**2 wrt q.\nAnswer: 1200*q**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 607 - 4*p + 18*p + 31*p.\nAnswer: -7*p**2 + 45*p + 607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/95 - -77\/95. What is the closest to s in 2, -0.1, -1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)*g)\/(g**(-3\/17)*g*g)*(g*g**(-2\/41))\/(g\/g**(6\/17)) assuming g is positive.\nAnswer: g**(-6100\/9061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64 from -5551514421.\nAnswer: -5551514357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -612.676 to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 14. Let z(h) = -4*h + 42. What is -10*u(y) + 3*z(y)?\nAnswer: -2*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 12, -242 in descending order.\nAnswer: 12, 6, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 41514.\nAnswer: 207570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 1801447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 741768.\nAnswer: 2225304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*z**5 + 18998*z**4 - 2528656*z - 1 wrt z?\nAnswer: 1880*z**3 + 227976*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/8)\/b**8*b**(2\/25)*b*b**(-5) assuming b is positive.\nAnswer: b**(-2459\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 12*s**2 - s - 12. Let n be m(-12). Suppose 3*y - 2*y - 28 = n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/(c*c**(-3)*c)*c*c**(2\/21)*c**(-18) assuming c is positive.\nAnswer: c**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.103 times -2074.197\nAnswer: -213.642291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1638988*m*w**3 + 5742437*m + 2*w**5 - 2*w**2 - 2 wrt w.\nAnswer: -9833928*m + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-4*1) - -42. Let d = h + -19. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 40 + 136 = 7*b. Solve b = -6*q + 44 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -657? (a) -2 (b) -1 (c) -2\/5 (d) -5622 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298 and 1.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 14*x**2 + 58*x + 106. Calculate c(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*c = 154*c - 96. Let g be (-140)\/(-24) + (-1)\/(-6). Solve -c = 5*p + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*p**3 - 741363*p**2 - 211809*p - 15129.\nAnswer: -3*(p + 5043)*(7*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p + 816 = 32*p. What is the highest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**4 - 57*l**3 + 57*l**2 + 18*l.\nAnswer: 3*l*(l - 3)*(l - 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/2 + (-3 - 0). Let g be (-14)\/32*(-176)\/(-616). What is the closest to -2\/5 in z, -9\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {c: 5, s: 2, y: 1, q: 11}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y**3 + y**2 + y + 1. Suppose -4*o = -6 - 14. Calculate the remainder when j(-1) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 4 + 2 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1 - l**2 - l + 0*l - l**2. Suppose -3*c + 6*c = -12, 5*j - c = -6. What is f(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532 (base 6) to base 5\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -11 - (18 - ((-5 - 8) + 11))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2 - -1) + 8 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62370 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*a - 1808 - 1808 + 3564 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -32?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**7\/21 - 13*d**4\/6 - 22*d. What is the third derivative of p(c) wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -35. Let c = y + 12. Let i = 10.0009 + c. What is i rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 + 18?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389997 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 15) to base 4\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312 + 220?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 27*f + 11*f - 495 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - -4.89. Let f = -3.4 - 0.6. Let t = f - 0. What is the closest to 0.2 in t, -1\/6, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/162 and 31\/3.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4\/5, -0.7, 22, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493310.\nAnswer: 2, 5, 49331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - -11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 6*g - 6*g - 127 + 335*g**3.\nAnswer: 335*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1399854 + -54?\nAnswer: 1399800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (15 + 7 + -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.5 (c) -5 (d) 1\/2394\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1347 or -1335?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 33*k = 99, 868*k - 12 = 2*p + 864*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9599998\/(-4) + (-2)\/4. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b + 40. What is the lowest common multiple of 12 and 2\/b - 41\/(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1\/9 (c) -1 (d) -2\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/1184*80*((-98)\/20)\/((-2)\/4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1941\/35 - 278\/5. Let j = -3 + 3. Let l = -2 - j. Which is the smallest value? (a) l (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + 23302102?\nAnswer: 23302221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3932, 3, 4, -4, 11, 0 in ascending order.\nAnswer: -4, 0, 3, 4, 11, 3932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) - (-21)\/(-154)*38 - -7. Solve -3*o - u - 14 = 0, -5*o - 38 = -0*u - z*u for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 20*b - 5*a - 3212, 0 = 5*b - a - 8007. What is b rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*z + 9, -3*x + 263699*z + 21 = 263697*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 - 2*z + 6. Let m(p) = 10*p**2 - 4*p + 15. Let t(a) = -2*m(a) + 5*s(a). Give t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -1345 and -1346 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/23)*(k\/(k\/k**(4\/9))*k)\/k*k*k**(4\/7)*k**(-5)*k)**(16\/9))**(-1\/50) assuming k is positive.\nAnswer: k**(21992\/326025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.99 - -0.01. Let j = i - 0. Let m be (-3)\/12 + (-21)\/(-52). What is the closest to 1 in j, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11221 (base 3) to base 6\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.228 - 115.772. Let j = -116.15 - k. What is j rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 58 + -55 + 44 + -30.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 2 + 538 - 6. Suppose 2*i = -4*i + g. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616.31773 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z + 165. Let x be m(0). Calculate the greatest common factor of 715 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 203*z**3 - 1667*z**2 + 6. Let w(f) = 202*f**3 - 1669*f**2 + 5. Let h(y) = 5*b(y) - 6*w(y). Find the third derivative of h(k) wrt k.\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.72, -1, -2\/81, -12.3?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 5*s + 5 = -17*z, -2*z + 4 = -4*s. Solve 2*y + 5*i + 5 = 0, 0 = 4*y - z*y - 5*i + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 + -126. Suppose -5*f + 3 + w = 0. Which is the biggest value? (a) 0.5 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27216\/24948)\/(24\/220)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Suppose -15 = -5*l - 0. Suppose l*w + 0*w - 1 = -5*d, -4*w - 6 = 3*d. Let z(p) = 4*p**d - p**2 - p**2. Calculate n(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**3 - 16*y**3 + 8*y**3. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35921165, 35921168, 35921169, 35921168, 35921165?\n\"Answer: -b**2 + 6*b + 35921160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddj when three letters picked without replacement from {m: 1, d: 5, j: 3, z: 1, e: 1, u: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 2*h**2 - 11 + 16*h**2 - 22. Let i(y) = -2*y**2. What is i(q(n))?\nAnswer: -512*n**4 + 2112*n**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -j - 4*b, -8048 + 8084 = -4*j + 4*b + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3111, 12524, 28209, 50166, 78395, 112896, 153669?\n\"Answer: 3136*y**2 + 5*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8 + 0*w - w**2 + 20*w + 2*w**2 + 15. Is c(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, -30 in descending order.\nAnswer: 5, -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204 - 104 + 1616*p**2 - 100 to the form i*p + w*p**2 + l and give w.\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 6*d - 6. Let q be o(6). Let w = q + -28. Suppose 0 = -0*g + w*g - 30. Calculate the remainder when 56 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/19, -10732\/3, 9\/8 in descending order.\nAnswer: 9\/8, -10\/19, -10732\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*f + 4*f**2 + 7*f**3 + 46*f - 2*f**2 + 6 to t*f**2 + r + a*f**3 + p*f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -12, -f = -3*x - 0*x + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77796, 155552, 233318, 311100, 388904, 466736, 544602, 622508?\n\"Answer: t**3 - t**2 + 77752*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -103*r - 1881. What is q(-35)?\nAnswer: 1724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319\/(-145)*45\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17, -4, 5, 0, -21, 8 in decreasing order.\nAnswer: 8, 5, 0, -3, -4, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -527 + 547 + 396\/(-21).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801609641 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8.3. Let y = 0.3 - a. Let s = 754 + -757. What is the nearest to y in -4\/7, -2, s?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 254313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.781 + 108.921. What is x rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -326, -327?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 73*a**2 - 24*a**2 + 10*a**2 to n*a**2 + x*a + y and give n.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2\/6)\/((-8)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 34. Let d = -68 + h. Which is the nearest to d? (a) 0 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmccccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from xsssbxsbsxssbxxxbgsx.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 - 8128*q - q**4 + 3*q**3 + 8123*q to the form s*q**2 + r + k*q**3 + j*q**4 + d*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 0.1 (c) -65\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 + -31 + 26. Which is the closest to -3\/4? (a) 57 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19258.31 millilitres?\nAnswer: 19.25831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -970*f - 850.\nAnswer: -970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-33 + 26) - -6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 19*d - 19. Let m be w(-8). Solve -3*k + 8*k + 2*o + 22 = 0, m*o = -5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y + 0*y)*(-8*y - 2 + 2 + (5 + y - 5)*(0 + 2 - 1)) - y**2 - 7*y**2 + y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0)\/((-6)\/(-21)). Let q = z + -4. Suppose -3*d - 4 = -16. What is the remainder when d is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 10\/(-35). Let j(x) be the first derivative of x**2 + 2\/5*x**5 + 0*x**4 - 2 + 0*x + b*x**3. What is the second derivative of j(r) wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + -2) + sqrt(5) + 1 + (2*sqrt(5))**2 + sqrt(5) + ((-2*sqrt(20) - sqrt(5))**2 - (-1 + sqrt(180))**2))*2.\nAnswer: -46 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341043 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*w + 698057 + 453953 = -3608942. List the prime factors of w.\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) -1\/6 (c) -3 (d) -4 (e) -0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -454675 and 0.5.\nAnswer: -454674.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*i + 4 + 2*i.\nAnswer: -2*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -18 - (17 - -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/g**(-1\/8)*g*g*(g\/(g\/g**(-2\/9)))\/g*g*g\/g**(-12) assuming g is positive.\nAnswer: g**(1037\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1190563145 rounded to five decimal places?\nAnswer: 0.11906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/6 + 623*c**3\/3 + 12539*c**2\/6 + 4396*c = 0. What is c?\nAnswer: -7, -3, 0, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1817*a - 25468. Calculate q(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11398 and 7467914?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-18) + 124\/6. Let y be (-15)\/c - ((-18)\/(-8) - 2). Put -3, 3, y in decreasing order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 - -126. Suppose 0 = g*a - 4*s - 20, a = 3*s + 1 + 8. Solve -a = -2*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 38*b - 83*b - b**3 + 39*b - 3. Let y be d(4). Suppose -w = y*w - 2022. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*w - 7, 24*w + 12 = 3*k + 22*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 620\/3 - 209. Let i = 0.55 + 0.45. What is the closest to 1 in i, 4, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 49. Suppose f = -8*j - 36 - 84. Let m(w) = w**2 + 13*w - 1. What are the prime factors of m(j)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -249.\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = -16, f = -a + 4. Find the common denominator of (0 - (-237)\/24)\/(-1) and (-42)\/20 + (a - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 + 146*h**2 + 36*h + 66. Let v be w(-16). Sort 1, -26, v, 3 in ascending order.\nAnswer: -26, 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:38 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 795*m**2 + 1. Suppose -b - 2*h = 3*b + 4, -5*h = -b - 1. Let c be k(b). Let j = c - 469. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -5 - (-3 + 4) - (488 - 528)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g*h**3*l + g*h**2 - g*h - g*l**2 + 8*g + 6*h**3*l**2 - 3*h*l**2 wrt h.\nAnswer: 60*g*h*l + 2*g + 36*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 228152124 * -0.8\nAnswer: -182521699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 747*l**3*m**3 + 3*l**3 + 203*l**2*m**3 + 8*l*m**3 wrt l?\nAnswer: 4482*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2097276, 8389145, 18875596, 33556629, 52432244, 75502441, 102767220?\n\"Answer: 2097291*d**2 - 4*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85a - -c4?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6960.008 nanograms in tonnes?\nAnswer: 0.000000000006960008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 13. Let y be k(-8). Solve -3*v = -1 - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-10755)*-6*5830\/(-8162)\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315615 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22\/(-8)*80\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756000 is divided by 560.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128\/5 + 2\/5*s**2 + 32\/5*s.\nAnswer: 2*(s + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Let v(n) = -5 + 3 + n - 2*n - 2. Let w be v(-4). Which is the nearest to w? (a) -4\/7 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*r**3 + 401888*r**2 - 401888*r**2.\nAnswer: 3*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15878845 is divided by 65345?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 10\/2)*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 1\/2, 36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 + -302. Let j = o + 79. What is the nearest to -1 in -2\/7, j, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*m + 19, -4*o - 4*m - 4 - 4 = 0. Suppose -o*c = -2*c - 27. Let p be (-48)\/c + 1 + 1. Sort 5\/6, 2\/3, p.\nAnswer: p, 2\/3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -27, -1 in decreasing order.\nAnswer: 2, -1, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -15244032?\nAnswer: 15244020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 187*g**4\/12 + g**3\/6 + g**2\/2 - 5*g. Let a be b(-1). Let l = -19 - -36. What is the highest common factor of l and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/3 + 90\/9. Solve -3*c = -p*v - 14 - 7, 4*c - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*j + 350 = -0*j, 4*s - 5*j = 704. What is the greatest common factor of 180 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -1)\/(3 - 1). Let q = -25 - -25. Suppose q*y + 1 = 4*a - y, 5*a = 2*y + 2. Put 3, a, w in decreasing order.\nAnswer: w, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Suppose -u*c = c. Suppose -3*r + 2*r + 69 = c. What is the highest common divisor of r and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 8:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4195, -8389, -12583?\n\"Answer: -4194*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -26.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 267747497 to the power of 1\/2, to the nearest integer?\nAnswer: 16363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 159\/2*z**2 + 106\/3*z**3 + 0*z - 101. Find the second derivative of y(o) wrt o.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -9 - (-81 + 30)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*i**2*j + 69*i**2 - 15*j - 382 with respect to i.\nAnswer: -64*i*j + 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/5004? (a) 3 (b) -0.4 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -5 - -6) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33245249 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)*c**(-11\/3)\/c)\/(c*c**1*c**(-4\/3)\/c) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.44 and 101.5.\nAnswer: 102.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*y - 2)*(-6*y - 29*y - 1 + 33*y + 154*y**2).\nAnswer: -924*y**3 + 12*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -198 in decreasing order.\nAnswer: 5, 1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3602.6 - 3603.6. What is the third smallest value in y, -49.6, 1\/2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*m = 366 + 548, f + m - 294 = 0. What is the remainder when f is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 0*p**2 - 4*p - p + 0*p**2. Let o be l(-3). Suppose 40 = o*a - 128. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-5))**42)**(2\/15)*(z**(2\/9)\/(z\/z**(-3\/8)))\/(z**4*z*z**(2\/5)) assuming z is positive.\nAnswer: z**(9737\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((156\/3)\/1)\/((-1)\/3). Let x be -4 + a\/(-42) - (-368)\/14. Suppose 2*f - 224 = 244. What is the greatest common divisor of x and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v - 1. Let f be c(-4). Let d be (3 - (-1 + 3))*f. Let 0*l**3 + 7*l**d - 8*l**3 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3338 and -4.8545.\nAnswer: 3333.1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39697*n*p**2*z + 68*n*p**2 - n*p*z + 135*n*p - 10*n*z + n + 5*p*z + 25 wrt p.\nAnswer: 79394*n*z + 136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158860 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117\/305 or -1?\nAnswer: 117\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfvvvzvyfz. What is prob of picking 1 v and 2 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749660 and 2178?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74462783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-49))\/(144\/4536)*-10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 298.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3)*c)*c**0)**(-26\/7)*(c**(-2\/3))**20\/((((((c**(2\/11)\/c)\/c)\/c)\/c)\/c)\/c*c**(4\/9)) assuming c is positive.\nAnswer: c**(-13238\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 186 - 6*9\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 - 3*f + 1. Let v be g(5). Differentiate -11 + v*w - 23 + 1 wrt w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 19. Let z be 3*2\/(-3) - n. Solve 0*q = q - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6320522 millennia in decades?\nAnswer: 63.20522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -1 (c) 7 (d) 21268 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + h - 18 = 3*z, 2*z = 3*h + 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60499\/3 + 20166. Let k = 2 - 6. What is the nearest to -2 in k, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:31 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/140916 and 45\/23486.\nAnswer: 140916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -205)*((-448)\/(-40))\/(-7). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -110?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26571*h**2*r**3 + 9*h*r**3 - 2*h*r - 9*h wrt h?\nAnswer: 53142*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 183\/2. Let b(p) be the second derivative of 0*p**3 - p + 0 + 0*p**4 + 1\/10*p**5 - u*p**2. Differentiate b(m) with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4092 and 4833334.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 312, 3116, 10730, 25560, 50012, 86492, 137406, 205160?\n\"Answer: 401*b**3 - b**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252)*2 - sqrt(252))*-5 + -4)**2.\nAnswer: 1200*sqrt(7) + 157516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 2*q - 77. Determine r(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 - 0.7. Let v = -6311\/6 + 1057. Let u = -127\/24 + v. Is u smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1529)\/(-1390)*15\/(-66).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -4039?\nAnswer: -4034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 10*w**2 + 7*w + 10. Is m(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.01, 5, -2, -26\/113?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/5? (a) 6 (b) -5\/8 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:11 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -54\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 5*a - 2. Let p be r(3). Let l = -2 + p. Let b be (-3 + (-10)\/(-6))\/((25\/(-45))\/5). Solve -l*q = q + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-40)\/(-15) - (-6)\/(-2)). Let k = -79847\/3210 + 22\/535. Find the common denominator of -2 - 249*p\/(-30) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 427 * -133555\nAnswer: -57027985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 211507 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8729 - 8722. Let b(s) = -s**3 + 5*s**2 + 7*s + 12. Give b(h).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in -1\/3, 8, -20, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 equal to 1028660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1708\/380641 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1879*a**2*m**2 + 9*a**2*m + 5*a - 4477*m**2 wrt a.\nAnswer: -3758*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 0, -211490 in ascending order.\nAnswer: -211490, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -228448, 1\/5, -6\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -17. Let p(u) = -8*u - 2 + 2*u + 7*u + r. Let z(q) = -q - 17. Let j(i) = -5. Let d(f) = -8*j(f) + 3*z(f). Give 3*d(c) + 8*p(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/18)\/(2\/(-36)). Let a = 64 + v. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 17 + (-66 + 25 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845279781?\nAnswer: 11, 107, 1277, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6347 + 6659. What is the greatest common divisor of x and 5148?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 58793391?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4\/4 - 86565*k**3 - 14985440199*k**2\/2 + 134889997815*k - 2428146179001\/4 = 0.\nAnswer: -173139, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:33 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*k**4 + 605*k**3 - 231056*k**2 wrt k?\nAnswer: 7344*k + 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.242 - -0.038. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 38*d**2 - 766*d - 30781. Give k(-33).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k - 3. Suppose -k*b - 20 = -8*b. Suppose g = -b*g + 175. Solve 10 = 5*z + g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -6 + (-2 - -18) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14f20 (base 16) to base 4\nAnswer: 110330200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 5*f + 24, 115*t + 26 = 112*t + 5*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -28*v + 20. What is the units digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 21. Let h(g) = g - 10. Let o(p) = 13*h(p) - 6*k(p). What are the prime factors of o(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 3. Let k = 0 + -2. Calculate the common denominator of k + v\/(-4) + -2 and -115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u + 2*u - 89*u - 71*u + 12 - 21*u.\nAnswer: -163*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (-542 - -562) + (-24 - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31336715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 35 + 11. Solve 3*c = -o*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 - u. Let p(j) = j - 19. Let v be p(15). Let w be o(v). Find the common denominator of w\/10 + 336\/(-1740) and -45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apdv when four letters picked without replacement from advdpajdcavavvaav?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 365, 11.2, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19442 is divided by 4334.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -26, 1\/8, -11853\/2 in descending order.\nAnswer: 1\/8, -3, -26, -11853\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8290619844 to the nearest integer?\nAnswer: 91053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 5*m + 23, a - 3*m = -14. Let t = -4 - -20. Suppose 2*g - t = -2*g. Solve 3*r - 2*f + a = 7, -4*r + 4 = -g*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (200\/(-52))\/(-2). Let j = -12\/13 - p. Factor 0*t**2 - 3\/2*t + j*t**3 + 1.\nAnswer: (t - 1)**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.1 (b) 6\/5 (c) -2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02064*-0.0808.\nAnswer: 0.001667712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-21)*(-5838)\/(-1251).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 8*k**2 + 1123*k - 4489. Determine j(4).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 4. Let i be 3\/5 + (-1071)\/(-15). Suppose -t*p + 120 = 2*a, i = a - p - 4*p. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34778*y**4 - y + 16681.\nAnswer: 417336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875070 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l - 188. Suppose 529 = -23*q + 44*q + 2*q. What is u(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23966, -41402, -58838, -76274, -93710, -111146?\nAnswer: -128582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 325, 1296, 2827, 4846, 7281?\n\"Answer: -12*g**3 + 352*g**2 - g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/630 and 91\/20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -233, 1979, 4?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 2. Suppose -b = -2*f - 0*f + 10, 2*f - 10 = 4*b. Suppose g*v - 5*v = b. Let s(o) = o - 9. Determine s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let l(j) = -2607 + 2607 + 35*j. What is l(p(r))?\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1\/6 (c) -145 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a*a)**42*(a\/(a*a\/(a**0\/a)))**(2\/21))\/(((a\/(a**5\/a))\/a**(-4))\/((a\/a**(-1\/2)*a)\/a**6)) assuming a is positive.\nAnswer: a**(-3725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109408*b*m**2*p*y**3 - 5*b*m**2*y**2 - 2*b*m**2*y - b*m**2 - 5943*b*m*p*y**2 + 2*b*p*y**2 - 9*m**2*p*y**3 + 3*m**2*p*y + m wrt y.\nAnswer: -656448*b*m**2*p - 54*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/46)\/(555\/(-12765))*(-1)\/(-34).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 128\/40*(-1575)\/(-280)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 409 + 175*a - 409 + 34*a in the form t + x*a and give x.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.18 + -0.22. Let z = h - 6.6. Let p = z - -28.4. Put -0.01, 3\/7, p in decreasing order.\nAnswer: 3\/7, p, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**4 + o**4 + 7*o**4)*(-4*o - 13*o + o).\nAnswer: 80*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3510 is divided by 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*r + 8 = 0, l - 3*r = 5 + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*4*((sqrt(68)*2 - sqrt(68)) + -2 + (-5*(-2 + sqrt(68)) - sqrt(68))) + -1)**2.\nAnswer: -2960*sqrt(17) + 28569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 4*q - 32 = 9*k, 2*q = 8. What is the greatest common divisor of k and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 25.9, -66, -10\/39?\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534114.\nAnswer: 2, 17, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-10))\/((-18)\/135). Let c = o - 0. Let j(w) = w**2 + 7*w + 8. Let i be j(c). Solve t - 6 = z, i = 3*t - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2089, 4172, 6255, 8338, 10421?\n\"Answer: 2083*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002191 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1837982, 3675987, 5513990, 7351991, 9189990?\nAnswer: 11027987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - -4) + 4 + 7 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221866?\nAnswer: 2, 610933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 75*c**2 - 27*c**2 - 33*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -34, 12, 0.1, 5\/2 in increasing order.\nAnswer: -34, 0.1, 0.4, 2, 5\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -40*5\/30*168\/10. What are the prime factors of ((-2400)\/21)\/(32\/r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2674 - -3746. Is l a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -z - 3, 5*z - 5*i = -55. Let s be (12\/z*(-20)\/8)\/1. Suppose -1\/3*a + 1\/3 - 2\/3*a**4 - a**2 + 5\/3*a**s = 0. What is a?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 366? (a) -7 (b) 2 (c) -2\/9 (d) -23\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, 1.\nAnswer: 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128*w - 1356*w = -12768 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let a be z\/((-6)\/(-63)*-3). Let v = a + 7. Solve v*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 + -5)**2.\nAnswer: -108*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(33)\/sqrt(3)) - (5 + sqrt(17) + -3 + sqrt(17) - sqrt(17)))**2 - (-1 + (2 + sqrt(1700))**2 + 0).\nAnswer: -1699 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -58, -113, -180, -253, -326, -393, -448?\n\"Answer: y**3 - 15*y**2 + y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 5. Suppose -4*o + p*o = 35. Solve -3*b - g = -4, b + 5*g + o = 27 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1000*l**3 + l**2 + 1. Let r be i(1). What is the tens digit of (-7 + (-12 - -18))\/(2\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.1782 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-9)\/(-3)) - 0. Let g = 47 + -85. Let u = g - -36. What is the nearest to u in 5, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -7490 (c) -0.4 (d) 0.16 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64578499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*y - 4*y - 6, 0 = 3*y + u + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1476 and 237964.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3484 + 23*c + 87*c - 3484. Let u(i) = -4*i**2. Give u(v(q)).\nAnswer: -48400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*p - 307*p**2 + 275*p**2 - 114*p wrt p?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1043469 and 1043511 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:00 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulloaxoll. Give prob of picking 1 l and 1 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42500 and 36312000?\nAnswer: 181560000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1512)\/(-30))\/(-7) + 7. What is the nearest to 3 in 2\/3, -8, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 32468?\nAnswer: -64936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3*i*m**3 + f**3*i - 2*f**3*m**3 - 4*f**3 + 1364*f*i + 10979*m**2 wrt i?\nAnswer: -2*f**3*m**3 + f**3 + 1364*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01669 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 6*v + 3*v)*(0*v + 2*v**2 + 0*v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*-2*(sqrt(153) + (-1 + 2*sqrt(153) - sqrt(153)))**2 + (sqrt(153) + -2)**2 + 5 + -2*(sqrt(153) + 2 + sqrt(153))).\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 4, l: 4, w: 5}. Give prob of picking 2 p and 2 x.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 33 = -123 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*m = -45 - 146, f - m - 57 = 0. Calculate the remainder when 4756 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 6)*-4 + 7. Let k(d) = -13*d + 5*d + d - w*d - 3*d. Let q(g) = 18*g**2. Determine q(k(u)).\nAnswer: 3042*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y - 1. Determine a(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**2 + 49*j - 11. Let h(i) = -5*i**2 - 17*i + 4. Let g(q) = 6*c(q) + 17*h(q). Let p(d) = -d**3 - 5*d**2 - 5*d + 1. Let k be p(-4). Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13061300 divided by 329\nAnswer: 39700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.89 - -462.41. Let x = -483 + u. Let v = -0.2 - 4.8. Which is the fourth smallest value? (a) 0.1 (b) -2 (c) x (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by 1.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193901932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*f**3*g**3 + 2130*f**3*g**2 - f**3 + f**2*g**2 - 2*f*g**2 + 91068*g**3 wrt f.\nAnswer: -108*g**3 + 12780*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*i**3 + i**2 - i + 44 wrt i?\nAnswer: 1452*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + 26410. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(-5) + (-46)\/76?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-66) - 422\/(-22). Solve 4*m - 5*r - y = 0, -2*m + 10 = -4*m - 4*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -742*i**3 + 1 - 2*i**4 + 0 + 1271*i**3 - 6*i**4 - 50*i + 49*i as b*i**3 + o*i + u*i**4 + t + d*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r + 59. Give o(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 21 + x + 44*x**3 + x + 4*x - 5*x**2 + 3*x**2. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -42606?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19567 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 151.765 times 74\nAnswer: 11230.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + x = 3905 + 1992, 0 = -3*x - 6. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 234543764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t - 9. Does 11 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102 (base 3) to base 9.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 228 - 938. Suppose 4*v + b = 2*h, -5*h = -0*h + 25. Let l = v - -58. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -167164?\nAnswer: 167164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4)*4 + sqrt(98)*3*5 + sqrt(98) + 4*6*(sqrt(98)*3 + sqrt(98))*1)**2.\nAnswer: 25984*sqrt(2) + 1318944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 5. Let r = -2 - 3. What is o(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 28*g**2 + 59*g - 23. Calculate x(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23375126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 480, 489, 502, 519, 540?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393946799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 2223.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997438678.\nAnswer: 2, 1998719339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 3*h - 17. Let b(t) = -t**2 - 2*t + 1. What is b(r) - w(r)?\nAnswer: r**2 + r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3517, -2838, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -70 - 15. Let l(s) = 16 + 9*s + 1 - 15. Let r(f) = -26*f - 5. Calculate g*l(x) - 6*r(x).\nAnswer: 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/6)\/(2\/(-8) + 170\/360). Solve -9*k + 3*d - 16 = -4*k, 5*d - h = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89525 and 30.09.\nAnswer: 2693807.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Let r = -66 - -65. What is the smallest value in d, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100100010001000011 (base 2) to base 13\nAnswer: 527c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1567*f**3*s - 60*s wrt f.\nAnswer: -4701*f**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/143 and 73\/6.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)\/(b**(1\/11)\/b))**(-1\/20) assuming b is positive.\nAnswer: b**(-7\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/21)\/(a**(-7)*a) assuming a is positive.\nAnswer: a**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 9*h - 212. Calculate n(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 43 - 23) + 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -1 - 5. Sort 3, c, 4 in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6398 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**25\/l)\/(l*l**4)*(l**(5\/3)*l)**(-5) assuming l is positive.\nAnswer: l**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -777\/8 greater than or equal to -743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 332. Sort u, 2, -2\/13, -1\/4 in decreasing order.\nAnswer: 2, u, -2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288128\/224 - (-2)\/(-7)?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 + 107. Let l(z) = 15*z**2 - 1195*z - 110. Let j be l(80). Let d = y + j. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430407 divided by 15941?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -335, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462727854?\nAnswer: 2, 3, 25707103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + (sqrt(38)\/sqrt(2))**2) + 2 - 2*sqrt(684)*-2.\nAnswer: 97 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 - 92 + 9*k + (0*k - 2*k + 3*k)*(-5 + 2 + 1) + 0*k - 4*k + 2*k - k + 3 - 3 + (0*k + k - 2*k)*(-2 + 1 + 3) - 5*k + 6*k + 0*k to b + j*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -1\/150*x**5 + 0 - 3*x**2 + 0*x + 1\/15*x**3 - 1\/600*x**6 + 1\/120*x**4. Let c(u) = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4788188 to 3 dps.\nAnswer: -0.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 17339.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 0*f**2 - 5*f**2 + (2*f - 2*f + f)*(-2 + 2 - f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*x + 5*v, 4*v - 32 = 3*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-1)*528\/112*(-46)\/(-253).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.84 + -0.7. Let d = v - -5.36. Let s = 5 - d. What is the smallest value in 0.4, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5 + 12 - 5*a + 12 - 4. Let h be i(-10). Suppose 3*k + h = 5*s, -2*k - 70 = -3*s - 2*s. What is the lowest common multiple of 3 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/(3\/99). Let u = c + -15. Let m = 726 + -6536\/9. What is the third biggest value in u, -0.05, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19980, 300, 5 in decreasing order.\nAnswer: 19980, 300, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1574 or 19\/4?\nAnswer: -1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 7. Let d be r(-7). Let y(t) = -2*t**2 + t + 3*t**2 + 3 + 4 - 1. Is y(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*f**2 - 3 + 53*f**2 + 3.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 1\/4 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 + 0.3314. What is h rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 3)*(-4*z + 3*z - 4*z) + 6*z + 8 - 8)*(2*z**3 + 0*z**3 + z**3 + (-1 + 1 + 2*z)*(-z**2 - z**2 + 0*z**2) - 2*z**3 - z**3 + z**3).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*u = 22, 5*u + 50 = 4*w - 23. Let k be (w\/15)\/(2\/260). What is the greatest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(-18)\/(-12). What are the prime factors of 19 - l - (-4 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16d189 (base 16) to base 10\nAnswer: -1495433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbbbbq. Give prob of picking 1 q and 2 b.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1252 - 7505\/6. Let d(z) be the first derivative of 4 + p*z**6 + 0*z**5 + 0*z + 0*z**4 + z**3 + 0*z**2. What is the third derivative of d(a) wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:16 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 5*k - 2*k)*(101760 + 7*k + 147*k**2 - 101760) to the form n*k + x*k**3 + a*k**2 + t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:09 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:45 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300*i**2 + 229 - 49 + 274 - 37*i**2 wrt i.\nAnswer: -674*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3863095.\nAnswer: 5, 772619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10. Let r = 76.5 + -81.37. Let o = 0.13 - r. What is the third smallest value in p, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -234, -355, -478?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 - 102. Suppose -2*d - l = -3*p, d - 1 = -2. Solve p*t + 12 = 7*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*w - 6*w + 43*w)*(3*w - 3*w + w**3).\nAnswer: -54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*f*m**4 + 556*f*m**3 + 35615*f + 2 wrt m?\nAnswer: -56*f*m**3 + 1668*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 13, i: 2}. What is prob of sequence uu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 23 = -3. Let j be 5\/x + 6\/4. Solve -1 = 3*a + j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650920?\nAnswer: 2, 5, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 7. Let r be (-30)\/45 - (-28)\/(-3). Let t(z) = -z + 3. Calculate r*t(p) - 4*d(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 304216455739?\nAnswer: -304216455739.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33536*d*m**4 - 595*d*m**3 - 2*d*m**2 + 2*d*m + 315*d + 7*m**4 + 2*m**2 + 14*m + 57 wrt m.\nAnswer: -804864*d*m - 3570*d + 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u\/u**(4\/11))*u))*u)\/u**(-1)*(u*((u\/(u\/(u\/(u*u**0))))\/u)\/u)**(1\/3))**(-47))**(2\/27) assuming u is positive.\nAnswer: u**(-9400\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*s - 2*v = 1171*s + 98, -342 = -3*s + 10*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40028625 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b + 32*b - 4*b - 2071 = 0 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76))**2 + 0 + sqrt(19))*-3 - (sqrt(1900) + ((sqrt(1900) + 0 + sqrt(1900))**2 - sqrt(1900)) + sqrt(19) - (1*sqrt(19) + -2)).\nAnswer: -7830 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -3*g - 4*b, 3*b - 2 = -g. Suppose 270 = -3*w + 3*i, g*i + 260 = w - 4*w. Let d = 146 + w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from suukuauv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 474637.2ns?\nAnswer: 0.00000791062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744138.\nAnswer: 2, 3, 41341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:59 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) - (-28)\/12. Let h = g + 7. Calculate the highest common divisor of 63 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:54 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -31*l**5\/20 + l**4\/12 - l**3\/6 - l**2\/2 + 3*l. Does 12 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 1\/42, -1, -5\/4531?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*392\/(-448)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641 is divided by 182.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4\/9, 0.1, -2\/5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755*l + 762*l - 630 = 0. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 + 10*g + 1. Let q = 149 + -141. Suppose 0 = -2*u - 5*w + 19 + q, -2*u = -5*w + 3. Is d(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26085 - 20006 = -1237*u - 26083 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 901 = 73*n - 708. Let v be 2\/7 + (-2)\/7. Let a(y) = -y**2 - 5*y - 2. Let u be a(-3). Solve -h - u*h + n = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-382)\/(-4) - 1\/2.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -441\/322417 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from nennhenneennnee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97907761\/5 or 19581552?\nAnswer: 19581552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -672*b + 27. Let j(w) = -199*w + 8. Let z(c) = -27*j(c) + 8*y(c). Let x(l) = 1498*l + 2. Determine x(z(h)).\nAnswer: -4494*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0 + 2, -3*w = 5*n - 16. Sort -5, 1, w, -3 in descending order.\nAnswer: w, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 8 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 15. Let k be (3*p)\/(6 - (-18)\/(-4)). What is the third derivative of 2*y**2 + 7*y**4 + 3*y**2 + y**k + 9*y**4 wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1100110110?\nAnswer: 1100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.117 + 0.12662. Round d to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 84\/20 + -11 + (-20454)\/(-5). What is the highest common divisor of 75 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -65551\/2656?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.35 - 0.3. Let l = y - 0.05. Suppose 7 = 4*k - 1. What is the nearest to -2\/7 in -2, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13016 is divided by 6494?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7acc3 - -4?\nAnswer: -7acbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 1\/10, -3\/5, 1, 2 in descending order.\nAnswer: 64, 2, 1, 1\/10, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11544.19 litres in millilitres?\nAnswer: 11544190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 23*p**2. Let c(r) = 38*r - 20*r - 19*r. Calculate i(c(y)).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**4 - 479*n - 2*n**4 - 380*n + 859*n + 2*n**2 + 1 + 3*n**3 in the form z*n**2 + h + b*n**3 + i*n**4 + r*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 44, 50, 56?\n\"Answer: 6*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2978.2, 1245\/8, 1?\nAnswer: 2978.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1668, -1208, -748, -288, 172, 632?\n\"Answer: 460*i - 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -1\/686?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.146 and 3.\nAnswer: 65.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25044 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-6)\/(-5))*20*(-4452)\/795?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - n - 7, 0 = -13*h + 12*h + n - 7. Put 6, h, -5, 1, 5 in descending order.\nAnswer: 6, 5, 1, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3629310 to the nearest 10000.\nAnswer: 3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23668905 rounded to the nearest one hundred thousand?\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - -3 - (-208)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2100000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2. Let h(n) be the first derivative of 0*n - 1\/2*n**2 + 9. Calculate m(h(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278980799.\nAnswer: 3, 426326933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*sqrt(171) + -3*sqrt(76)\/sqrt(4))*-3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320790)\/(-1665)*(-96)\/272?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56224276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -552.3 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 132ba (base 15) to base 9\nAnswer: 103164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 778624548 to the nearest integer?\nAnswer: 27904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6761.691 litres to millilitres.\nAnswer: 6761691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64335*d**3 + 128679*d**2 - 64353*d + 9.\nAnswer: -3*(d - 1)**2*(21445*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and -1.75.\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033944167 rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 180 = -30. Let c = 29 + s. What is the second derivative of 7*t**3 + 0*t - 4*t**3 - c*t + 6*t**3 wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 1. Let q be x(-3). Sort 3\/7, -2\/13, q.\nAnswer: -2\/13, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363.581 + -388.52. Let r = 0.061 - o. Let x = r - 24.99999978. Round x to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -97\/4*g**4 + 64 + 15*g + 0*g**3 + 2*g**2. Find the second derivative of n(c) wrt c.\nAnswer: -582*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 23*b. Let p be 4 + (4\/(-2))\/2. Put p, 1, b in descending order.\nAnswer: p, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*a - 38. What is the least common multiple of 7 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643467513 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -521664 + 521742 + 917*x + 250*x wrt x?\nAnswer: 1167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 - 0.5184702959.\nAnswer: 124.4815297041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-45))\/((19\/285*-5)\/(-6))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1176 and 85\/196.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578357559 to the nearest integer?\nAnswer: 24049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/15)\/(-4))\/((-12)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 4318141.33?\nAnswer: 4318141.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216)*2 - (-4 + sqrt(19)*-1*4))**2 + -1.\nAnswer: -96*sqrt(19) + 2751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.1 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/30 + (-1020)\/(-3400))*(-225 + (-84)\/(-14))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-176)\/77)\/((-10)\/14))\/(2\/10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4 + -1 + sqrt(468) - (sqrt(468)*1 + sqrt(468))*-2)*-6 + (sqrt(468)*3*-1 - sqrt(468)) + (sqrt(468) - (-2 + sqrt(468)))*6))**2.\nAnswer: -68544*sqrt(13) + 2171088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6*t - 256 = 0. What is the remainder when 61 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1817 + -1817.3. Which is the biggest value? (a) -2\/19 (b) 14\/11 (c) p (d) -1\/22 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79593022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 46. Let a be t(36). What are the prime factors of (-6579)\/(-15) + (-4)\/a + 2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*a = 12, 2 = 4*q + 3*a + 24. Let n be 2\/(48\/(-23) + 2). Let x = q - n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974451.\nAnswer: 3, 47, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 49834400 to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.225203214 - -5.3083.\nAnswer: 5.533503214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -1 + 2. Let a be (-14)\/(s\/(-5)*-2). What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622*h + 104532 = -65898 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 520 + -60208?\nAnswer: -58578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*g + 4 = 0, -3*k + 6 = -8*k + 3*g. Suppose k*m = 3*m. Suppose m = -5*t - 0 + 185. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98640359?\nAnswer: 98640359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(225*g + 2 - 315*g + 154*g).\nAnswer: -128*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 - 14*q + 10. Calculate c(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1138.\nAnswer: 5\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 10. Is m\/(-1)*(-36)\/(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213266099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:51 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 68, 103, 138, 173, 208?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/5 + 2*i**4 - 42*i**3\/5 + 46*i**2\/5 - 16*i\/5 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4522725 - 2365547. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1, -3, -12897425, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/6*d**3 + 0*d**5 + 0 + 78*d**2 + 1\/42*d**7 - 1\/24*d**4 + 0*d**6 + 0*d. What is the derivative of m(y) wrt y?\nAnswer: 20*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 10*t**2 - 12*t - 18. Suppose 0 = -2*j + 78 - 14. Calculate the remainder when j is divided by k(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 11206*j - 15 = 11209*j, -5*z = j - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10*y**(2\/17))**6 assuming y is positive.\nAnswer: y**(1134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:01 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 - (-9 - 5 - 25) - -4?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1043848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 g, and 1 m when four letters picked without replacement from jjjncjcmjjjxcjgg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -442. What is the derivative of -22*a**4 + b*a - 296*a + 19 - 4 wrt a?\nAnswer: -88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - s - 3. Calculate v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38522, -154082, -346658, -616244, -962834, -1386422?\nAnswer: -1887002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1342 divide 301406490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(153)*-1)**2 - ((-4*(2 + sqrt(17)) - sqrt(17)) + -5*sqrt(17) + -5).\nAnswer: 10*sqrt(17) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 8*x**2 - 6*x + 10. Let k be u(-7). Let t be (4\/(-4))\/((-1)\/k). Suppose 9 = t*n - 0*n. Solve 0 = -8*g + n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x - 5*x + 5*x + 84*x**3 + 13*x**2.\nAnswer: 84*x**3 + 13*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/76 and -79\/94547097.\nAnswer: 378188388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3\/7 + 25976*g**2\/7 - 129980*g\/7 = 0. Calculate g.\nAnswer: -6499, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + ((sqrt(468) + 1 - sqrt(468)) + sqrt(468))*6)*3 + (5 + 2*sqrt(468) - (sqrt(468) + 1)*6))**2.\nAnswer: 1344*sqrt(13) + 91792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 21) + 6 + (-4 - -28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*(g\/(g*g**(-1)\/g*g))\/g*g*g))*g)**(-48))**(-40)\/(g**(-5)*g*g\/g**(2\/7))**(-4\/7) assuming g is positive.\nAnswer: g**(470308\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*n**2 - n**3 - 42*n**2 + 0*n**3 - n)*(0*n**2 + 5*n**2 - 3*n**2).\nAnswer: -2*n**5 + 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/678 or 1?\nAnswer: -61\/678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**2\/2 + 211. Let d(p) = 69*p. Calculate d(j(w)).\nAnswer: -69*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2422439 minutes?\nAnswer: 14534634000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 42. Let o be m(3). Suppose -8*b + o*b + 5*j - 13 = 0, -5 = -4*b + 3*j. Solve -b*p - 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - 82) + 4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6946*q**2*z**3 - 31*q**2*z**2 - q**2*z - 2*z**2 + 3 wrt z.\nAnswer: -41676*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 + 6. Suppose -4*u - x*d + 14 = -122, -4*d - 12 = 0. What is the remainder when u is divided by (38\/6)\/(1\/3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ess when three letters picked without replacement from {e: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*-5*1. Let o be 7*(-5)\/(-7)*2 + -3. Let w(v) = 7*v - 9. Let j be w(o). Solve -5*h + j = -5*k, -r*k - 25 = -0*k - 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-8)\/(-312)*4*3\/4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + -1 - (1 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 59840 and -2518.8267?\nAnswer: 62358.8267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/924 and -95\/1901256?\nAnswer: 20913816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 17*v**2 + 15*v - 1. Let t(d) = -d**3 - 8*d**2 + 7*d - 1. Let b(m) = -4*j(m) + 9*t(m). What is the least common multiple of b(-5) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201470*j - 14006 = 201376*j for j.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/35)\/((-6)\/12)*50\/(-210).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*((a\/(a\/(a*(a\/a**(-2\/17)*a)\/a)))\/a)\/a)\/a)\/(a*a*a\/(a*a**1\/a)))\/((a*a*((a**0\/a)\/a*a*a*a)\/a*a*a)\/(a**(1\/10)\/a)) assuming a is positive.\nAnswer: a**(-1153\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*f**2 + 125*f - 125*f + f**2 + 2*f**2 - 2*f**2 + (-f**2 + 0*f**2 + 0*f**2)*(-1 + 0 - 1) + 52*f - 52*f + 11*f**2.\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/3 + u + 57. Let v(g) = -2*g + 98. Determine v(n(t)).\nAnswer: 4*t + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 1. Let x = 0 - -1. Is w(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 1, w: 3, z: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*p**2 + 177 - 177.\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -7) + (5 + -29)\/6. Solve 2*z + 3*c + 0 = 4, -3*z - 4*c = -w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 20849*c.\nAnswer: -c*(c + 20849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 932*s**3*w + 18*s**3 - w - 34848 with respect to s.\nAnswer: 2796*s**2*w + 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1187737710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*d = 40, -5*d + 15 = 2*l - 0*l. Let w be (-5)\/((-50)\/l)*-6. Let f be 0\/(w - 0 - 4). Solve -4*o - 5*m - 1 = f, o + 0*o + 2*m = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:49 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7543 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: Is 1695539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (492\/(-7))\/(62\/(-434))?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 3*n + 17. Determine t(-5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*i + 21 = -5*t + 57*i, -3*t + 4*i - 19 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6474 - 6474.47. Which is smaller: -128 or n?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 25. Suppose -5*r - 2*x = w + 4, 4*r - 4*x + 20 = 0. Sort r, 5, 2.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2943*m**3 + 2946*m**3 + 3361*m**2 + 3364*m**2 - 5886*m**3 - 6725*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2725 - 1000 = -5*w. Let z(k) = w*k**2 - k - 1487*k**2 + 739*k**2 + k**3. Let d(u) = u**2 + 3*u + 3. Let i be d(-3). What is z(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/7 (c) 2\/13 (d) 1306 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 - 8*o**2 - 5 + 2*o + 0*o. Let u be a(4). Suppose -3*c - u = -b, 0 = -b - 2*c + 1 - 7. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22427734 by -562.\nAnswer: 39907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:21 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r\/((r*r*r**(-20)\/r)\/r*r)*r)\/r)*r)\/r)**(1\/3)\/(r*r**(-3)*r*r**(-16\/3)*r) assuming r is positive.\nAnswer: r**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 41*u - 834. Calculate v(10).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0) + (-1 - -3). Suppose k = -v + 3*v - 104. Let h be v\/110 - (-1)\/(-5). Does h = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/60 - 5*a**4\/24 - 4*a**3\/3 - a**2. Let s(t) = -170*t**2 + 173*t + 3. Let q be s(1). Determine z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + b - 1. Let h(k) = 0*k + 2*k**2 - 6 + 0*k - 5*k**3 + k**3. Let n(m) = -6*f(m) + h(m). Factor n(p).\nAnswer: 2*p*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114083*g**2 - 2*g*y - 3*g + 2393*y + 6 wrt g?\nAnswer: -228166*g - 2*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8096239 is divided by 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + -2 + -3*(sqrt(175) + 2)**2 + 4 + -2).\nAnswer: 180*sqrt(7) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 4. Let j be x(-9). Suppose -j*d = -4*d. Let d*n**3 - 1\/2*n**4 + 1\/2*n**2 + 0 + 0*n = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23582127*h*w - 2*h + 4002718 wrt w.\nAnswer: 23582127*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**2 - 51\/4 - 99\/4*r.\nAnswer: 3*(r - 17)*(2*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 11, d: 2, c: 1}. Give prob of picking 3 c and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 divided by 56302.\nAnswer: 176\/28151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056496 is divided by 263863.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/(17\/(-595)*-14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/z**0))\/z)**(-2\/23)\/((z\/(z\/(z*z*z**(-2\/5)*z)))\/z*z)**(-1\/61) assuming z is positive.\nAnswer: z**(13\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*u - 1260140 - 426536 = 0. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(72)*1 + 2).\nAnswer: 8 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g\/(((g\/(g\/g**(4\/9)))\/g*g)\/g)*(g**(-6)*g)\/g**(-1\/6))**(-36))**(-6\/35) assuming g is positive.\nAnswer: g**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/((3322\/604)\/(231\/72))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -1, 6, 27, 68, 135, 234?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 - 3*p**3 + 6*p + 6. Let b be w(9). What is the derivative of -2 + b - 1 - z**3 wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860132 is divided by 22054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + h - 175 = 0, -3*z - h + 5*h + 136 = 0. What is the remainder when 97 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132073771?\nAnswer: 132073771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1717, -1716, -1715, -1714?\n\"Answer: w - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23402079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.0547 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (8 - 2 - 33) + -58?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36550 is divided by 301.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/190 and 71\/210.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 863 + -25029\/29. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/7, -33, 2.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -3) + -46 + 6 + -6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 4, e: 4, l: 4}. What is prob of picking 1 e and 1 l?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**4 + 20*l**3 - 16*l**2 - 48*l.\nAnswer: 4*l*(l + 2)**2*(2*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-13 - (-6 - -9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 2*i - 1. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36388700 + -10289700. What is b rounded to the nearest one hundred thousand?\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 21 = 5*l + 27, 3*q + 2*l = 28. Solve 13*n - q*n + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*i - 5, 2*z + z - 7 = -4*i. Suppose -12 = -i*r, -104 = -4*a - 3*r + 453. Calculate the remainder when a is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3699 greater than or equal to -3715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66841 (base 9) in base 2?\nAnswer: -1010110110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 + p**2 + p - 1. Let z be a(1). Suppose -z*l + 3*l = -176. Let o be -4 - -27 - (0 + (2 - 1)). What is the greatest common factor of l and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.88 (b) -3\/5 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -113435614675.\nAnswer: 113435614675.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9644656.\nAnswer: 2, 7, 86113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 not equal to 855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 13 + 19. Let p be (-3)\/2*r\/3. Calculate the remainder when (-16)\/(((-8)\/3)\/p) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Let t(v) = 2*v. Let w(l) = -t(l) - 2*x(l). Let d be w(-11). Solve p + 4*n - 15 = 8*n, -5*n - d = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16102*d - 128816. Calculate b(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2 + 2*d + 1. Calculate b(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87169739, 174339479, 261509219, 348678959?\n\"Answer: 87169740*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424*p**3 - 438*p**2 + 980689*p.\nAnswer: 2544*p - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 14.88, -142 in descending order.\nAnswer: 14.88, 4, 2\/7, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 169031*i**2. Let k(o) = 31*o**2. What is k(p(t))?\nAnswer: 885715847791*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, 76, 81, 88, 97?\n\"Answer: h**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4158*f**2 - 4590*f wrt f.\nAnswer: 8316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 + z**2 - 31*z. Let s(m) = -m + 2. Let j(p) = -3*c(p) + 2*s(p). Calculate j(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 21 + 1. Which is the third biggest value? (a) 0.016 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -136*f*r**3 - 11*f*r**2 - 3*f*r + 2*r**3 - 3*r**2 - 7 wrt f?\nAnswer: -136*r**3 - 11*r**2 - 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/(-969))\/((-4)\/246*-41)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:39 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 7 = 2*i + 2*t, -5*i - t + 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 24*a + 46. Let o be v(22). Suppose -2*t - 4*h + 16 = 0, 12*t - 7*t - o*h - 4 = 0. Let x(p) = 24*p + 2. Calculate x(t).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-5))\/(5 - 272\/56). Is d at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12, 0 = -2*z - 3*l + 26 - 5. Suppose 4*n = -f + 2 + z, -6 = -5*f - 3*n. Solve -4*a - 5 = -c + 4*c, f = c + 5*a + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/3)*x)\/x)\/x**(-1) assuming x is positive.\nAnswer: x**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/226, 1\/6, -11?\nAnswer: 3\/226","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/15640 and 16\/111435.\nAnswer: 891480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 744\/7. Let i be 16\/90 - 2\/(-9). Which is the closest to w? (a) i (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-2)*(-14)\/3. Let u = d - 75. What is the second smallest value in u, -3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 94562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -136*w + 72. Is m(-9) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2403636, 4807261, 7210886?\nAnswer: 9614511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44170.\nAnswer: 2, 5, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*m - 12, -4*s - 10 = 3*m + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*l = -31, 0 = -2*f + 3*l - 5*l - 6. Solve -10 = -f*t - 3*s, -25 = 5*t - 10*t - 5*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762, 4428, 14390, 33798, 65802, 113552?\nAnswer: 180198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 36 = -124. Suppose 6*r - l = 4*r. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*b**4 + 86*b**4 + 31*b**4 + (2*b**4 + 0*b**4 + 0*b**4)*(-1 + 5 + 4 - 1 - 1 + 3 - 4 + 5 - 2 + (-2 - 1 + 4)*(3 + 2 - 4)).\nAnswer: 207*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 1. Let n be (-8)\/(-6)*(-1)\/6. Suppose 4*h = -3*s - 16, h - 5*s = -s + 15. Which is the nearest to n? (a) l (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1972 + 172?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/6 + s**2\/2 - 108*s. Let g be (-4 - -1)*(-1)\/3. Suppose 0 = 4*q - 2*w - 10, 4*w = 5*q + g - 18. What is o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-4303)\/(-325))\/((-72)\/240).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24904 and 22880.\nAnswer: 6475040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 12:12 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/13 + (-68)\/(-442). Which is bigger: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114303202?\nAnswer: 2, 13, 19, 43, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*g - 50 + 14. What is the smallest common multiple of 106 and g?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:26 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221210 (base 3) in base 15?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2679232 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 100000?\nAnswer: -100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*q - 30 = 0, -3084 = -y - 4*q - 3078 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/41? (a) -5\/6 (b) -0.3 (c) 228 (d) 2\/5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 2\/9 (c) 5527 (d) 3 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 + 0*q + 9*q - 4*q. Let s be l(-2). Let m = s - -14. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 3*a**4 - 7*a**2 - a**3 - 2*a**4 + a**3 + (a**4 - a**4 + 3*a**4)*(1 - 2 + 3) - 18*a**2 - 9*a**4 + 18*a**2 + 2*a**2 - 2*a**2 - 2*a**4.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52089, -105467, -158845?\n\"Answer: -53378*j + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170 - -189. What are the prime factors of (-2 + -135)*(-57)\/b?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -255, -196, -115, -12, 113?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*q = 2*n + 9, -3 = -q. Which is the nearest to 0.1? (a) -4 (b) 0.06 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2 + 45. Let n(i) = -2855*i + 1423*i + 1432*i + 3*i**2 - 5*i**2. Determine m(n(s)).\nAnswer: 36*s**4 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6327 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**8\/6720 + g**7\/840 + g**6\/720 - g**5\/60 + 5*g**4\/6 + 3*g. Let d(v) be the third derivative of n(v). Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 19 = y - 3*m, -10 = -2*m. Suppose -17*l = -42 + 8. Solve -6*a - l = -y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 308*q - 208. Let x be s(12). Suppose -5*m + i + 1550 = -2810, -4*m = 2*i - x. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10304*v**3*w**3 + v**3 + v**2*w**5 + 3*v*w**2 + v + 879*w wrt w.\nAnswer: 61824*v**3 + 60*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8949490 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from eyyzyoeyggzyeyyzyygy.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = w - 288 + 161, -g = -2*w - 3 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 18 + (-1 + 0 - (-2 - -23))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 83 - 467. Let z = u - 14. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 1. Let l be b(-1). Suppose 52*q = 48*q + 8. What is the highest common divisor of q and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3\/2)*(91 - 77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -3332?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.7985 - 12.79. What is the closest to 2\/5 in 5\/3, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 7*z**2\/2 - 14*z + 5. Let q(h) = h - 1. Let w(y) = -14*q(y) + t(y). Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 10*g = 75. What are the prime factors of (-290)\/g*1\/2*6?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 2 = 0. Suppose 2 = 2*q, 0 = -5*d - q + 14 + 12. Let m = -2.3 + 2.2. Which is the closest to -0.1? (a) d (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -39. Suppose p = -3*o - 0*p + 13, 9 = -o - 3*p. Let i be 8\/(-12)*4\/o. What is the smallest value in -1, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - -226835.\nAnswer: 226835.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 2*j - 6. What is w(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 1. Let q be y(1). What are the prime factors of ((-3)\/q)\/((-2)\/(-40))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + y)*(-1534*y**2 + 3182*y**2 - 1647*y**2 - 598*y).\nAnswer: -y**3 + 598*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 61 + (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-46)\/2093*49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + o + 19, -6 = 2*o - 5*o. Solve -2 = -9*t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 135035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let y = -51 + 51.3. Which is the closest to q? (a) -2\/13 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47221*c - 20917*c - 363090*c.\nAnswer: -336786*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -23. Suppose 3*f - 15 = 8*f, 0 = -3*v + 2*f + r. Calculate the least common multiple of v and 3 + (0 - 1)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453720.6 grams in tonnes?\nAnswer: 0.4537206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1648 - 24739\/15. Find the common denominator of (-6 - (-532)\/21)\/(-2 + -7) and s.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:12 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 342*a. Let q(f) = 405*f + 69. Calculate l(q(j)).\nAnswer: 164025*j**2 + 194400*j + 28359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y - 4. Let h be l(6). Suppose -630 = -4*i + 5*v, 3*i - h*v + 6*v - 488 = 0. What is the greatest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*f + 13, 3*o - 152 = 5*f - 161 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 + 2 = -5*u, 3*j = -5*u + 3. Solve 4 = -7*s + u*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6999, -15062, -23115, -31158, -39191?\n\"Answer: 5*y**2 - 8078*y + 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -59, 2, 1, 4, 2\/55?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 2. Let x be y(3). Let l(f) = -5*f**2 - 325*f + 695*f - 330*f + 8*f**2 + 51. Let j be l(-12). Solve -3*o - 27 = 3*i, -9 = -j*i - i + x*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001090282 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 8*g + 3*g = -79, g - 5*g = -s - 44 - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-5 - 5*(sqrt(13) - (1 + sqrt(13))))*3)**2.\nAnswer: -1800*sqrt(13) + 47025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + z**2 - 3*z**2 + 376 + 2*z - 5*z**2.\nAnswer: -3*z**2 + 2*z + 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**4 - 10*c**4 + 23*c**4 + (0*c + c + 0*c)*(c**3 + 0*c**2 + 0*c**2) + 89*c**4 - 108*c**4 + 243*c**4 as u*c**3 + m*c + a + v*c**4 + l*c**2 and give v.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3 = -4*b + 3*p, -4*b + 17 = p. Suppose -b*x - 5*g - 11 = 0, -x = -2*x - g - 1. Solve -y**4 - 2*y**x - 2*y**5 + 4*y**5 + y**2 + 0*y**2 = 0 for y.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 6.4. Let m = x - -16. Sort m, -12, 4\/5 in decreasing order.\nAnswer: 4\/5, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q**2 + 154 + 4 - 7*q**2)*(4*q - 2*q + 5*q) as c*q**3 + z*q**2 + m*q + r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (4 + -4*sqrt(75) + sqrt(75))**2.\nAnswer: -691 + 125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0 + 0)*(7 - 4 - 16).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 84\/32 + -1 - (-12)\/32. Solve 5*z = f*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -10*k + 18. Let o = 132269\/17170 - 6\/1717. Find the common denominator of (612\/(-56))\/k - 1 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -2\/15 (b) -17 (c) -2\/89 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 79. Let o be c(15). What is the highest common divisor of 93 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**2*l**2 + 8*b**2*u - 19*b**2 + b*l**2*u - 4*b*l**2 + 7*b*l*u + 5*l**2*u wrt l.\nAnswer: -12*b**2 + 2*b*u - 8*b + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/12 - 3*h**2 - 6. Let p(x) = 39*x. Determine j(p(t)).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) - (-2)\/(-6). Suppose 2*x - 7 - 11 = w. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 704.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1 - 95 = 15*b, 4*d - 9*d - 4 = -4*b - 19 + 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.7 to zero dps.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 28) + (-368 - -400)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*m**4 - 8*m**4 + 22*m**4 + (-5*m + m**3 + 5*m)*(-3 + m + 3).\nAnswer: -90*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -34. Let i be 10*((-168)\/(-5))\/v*-1. Suppose -15*w + i = -w. Solve -3*l = 2*s - s + w, 5*l = -s - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378851 and 9548.\nAnswer: 10607828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2 - 3. Suppose -2*m = 3*d - x - 6, 3*d = -m + 5. Suppose m*k - 4*k = 44000. What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 382*c - 382*c - 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 2, p: 4, u: 2, s: 3, b: 1}. What is prob of sequence ubtt?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 21*l - 21*l - l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(180) + 1 + -4 + sqrt(180))**2 - sqrt(180) - (sqrt(180) - (5*(1 + sqrt(180)) - sqrt(180))**2)).\nAnswer: 468*sqrt(5) + 10904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - g)*(-8 + 7*g - 9*g - 2*g) - 4 - g**2 + 4 + (-3*g + 2*g - g)*(2*g - 3*g + 2*g).\nAnswer: -7*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 76\nAnswer: -63\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 1716*m**3 - 7*m + 15*m + 1715*m**3 - 13. Give f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6869167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**6)\/o)\/(o*o**9*o))**(-17\/3))**(6\/7))**28 assuming o is positive.\nAnswer: o**680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10264746 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, -17.\nAnswer: -17, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1. Let d(f) = 2*f**2 - 5. Determine 5*c(v) - d(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3304212 (base 5) in base 11?\nAnswer: -39753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844215?\nAnswer: 3, 5, 23, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-19 - (-301)\/14)\/(-2 + (-461)\/(-230)) and 460?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -8.7?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -523.06 + 8.06. Let c = 514.99999933 + v. Round c to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 787635193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qtqqt.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10364\/12 - (-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 - 32*o**4 + 198*o**3 - 584*o**2 + 800*o - 384.\nAnswer: 2*(o - 4)**3*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*f**3 - 72*f**2 + 76767?\nAnswer: 258*f**2 - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzwyyyqynccnqyqq. Give prob of sequence yncy.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*30708\nAnswer: 122832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-65)\/(-10))\/(2\/4). Find the second derivative of -b*c - 5*c - 7*c + 8*c**3 - 5*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(77) + 1*sqrt(77)) - ((1*sqrt(77) - sqrt(77))*-4 - sqrt(77) - sqrt(77)))\/(sqrt(63) + sqrt(756)\/(sqrt(192) - sqrt(12))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -143, 5, 52 in ascending order.\nAnswer: -143, 5, 25, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14590*1389.\nAnswer: -20265510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 16\/5 (b) -2.1391 (c) 2\/3 (d) -0.5 (e) -2\/5 (f) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac3 - -7?\nAnswer: 1aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 21. Suppose 0 = -w + 12*w + w. Determine h(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = y, -2*h - y - 2*y = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734 + 734 - 20*a**2.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458878.4 minutes in days?\nAnswer: 1013.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(37\/12 - 3). Let b(w) = -2*w**2 + 22*w + 26. Let t be b(s). Solve -r + 0 - t = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130)*2 - sqrt(130) - sqrt(130))*-6)\/(sqrt(1000)*1) + (1*sqrt(26)*-5)\/((2*sqrt(242) - sqrt(2)) + sqrt(2)).\nAnswer: -7*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/134 - -1471\/8241. Calculate the common denominator of -8\/33 and t.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 21. Let g be j(7). Solve 5*u = 4*c + g, 6*u = 2*u - 3*c + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60477 take away 196153617?\nAnswer: -196153617.60477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657618 divided by -25293?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-8) + 32450\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.147 in -11, 3, 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -105*i**2. Let f = 53 + -51. Suppose o = -0*p + 2*p + 12, -96 = -5*o - f*p. Let c(j) = -o + 17 - j + 1. Calculate s(c(k)).\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1484 + 481. List the prime factors of t.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (109\/(-3) - 5)\/(4\/(-6)). Calculate the highest common divisor of f and 651.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7025*o + 70150. What is q(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3693 and 51619.3.\nAnswer: -190630074.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/8 of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -717935.58 rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 40035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 11, 44, 101, 188, 311?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + j + 38. Calculate b(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 4, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + 101. Let k be i(-11). Solve -3*d + k = 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78270 - 53417. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -3 - (-1 + 10). Let l be -12*((-3)\/s)\/(-1). Let d(j) = j**3 - 5*j**2 - 4*j - 7. Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, n: 7, g: 5}. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-3))\/((-50)\/(-75)). Let q(v) = 4*v**2 + 11*v + 7. Let j be q(-7). What is the greatest common factor of o and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:10 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5396*x**2 - 37*x**3 + 0*x**3 - 5407*x**2 + 38*x**3 + 10810*x**2.\nAnswer: x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.404, 126.4, -3, 2\/5 in increasing order.\nAnswer: -3, 2\/5, 0.404, 126.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 1. Let g(y) = -4*y + 1. Let o be g(-1). Suppose 0 = -o*k + 18 - 3. Let v = 2 - k. Give q(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 13. Let h be 44\/12*3*n. Suppose 2*j = j + 44. What is the highest common factor of h and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 44 = v, l + 0*l = v - 10. Let f = 11 + l. Solve 0 = f*j - j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 97 = -t - 87, 6*t + 3*i = 159 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*l + 3*p, 3*l + 4*p = 9*p - 10. Sort l, 2, 8 in decreasing order.\nAnswer: 8, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 97.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from uiudiyuujjuujjj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 203.58981 seconds?\nAnswer: 0.056552725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193136402 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/225 + -2\/25. What is the second biggest value in -0.4, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)\/(-3 + 50\/17). Let y be ((306\/(-24))\/k)\/(6\/(-16)). Solve g = 3*l + 5, -5*g + 3*l + 25 = -y*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddeeeessgsssgsss. Give prob of picking 2 d and 1 s.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 3. Let p = -55 - -63. Let h be (p\/6)\/((-1)\/v). Is h not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000011101110010100100 (base 2) in base 8?\nAnswer: 50356244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 10:21 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3513 and -3446 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 882292, 1, -18 in descending order.\nAnswer: 882292, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 + k - 1. Let i be 1\/(-3*3\/(-36)). What is the least common multiple of y(i) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < 124747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.9. Let t be (-3)\/2*12\/(-9). Let u be ((-1)\/8)\/(-1)*t. Which is the nearest to -0.1? (a) v (b) u (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/13))**17)**38\/(((s**(1\/9)\/s)\/(s*s\/s**(-2\/7)))\/(((s**(-2\/21)*s*s)\/s*s)\/(s\/s**(-2\/7)))) assuming s is positive.\nAnswer: s**(450785\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40526 + 2269377\/56. Calculate the common denominator of a and 9\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let i(n) be the third derivative of -n**6\/120 + n**5\/60 - n**4\/24 + n**3\/2 - 2*n**2. Let y be i(0). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -14230.\nAnswer: -14230, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 4\/29033, 2\/45 in ascending order.\nAnswer: -0.4, 4\/29033, 2\/45, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 23*c**2 - 99*c**2 + 59*c**2.\nAnswer: 6*c**3 - 63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s + 21154. Let g(p) = -11*p - 31722. Give 5*g(b) + 7*m(b).\nAnswer: b - 10532","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 - -272. Calculate the highest common divisor of a and 1876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -715 in -12, 4149, 1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5121.8 - 6187. Let p = o - -759. Round p to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from thhttt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 5*(7 - 62\/10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*r + 10 = 3*r, r = -4. Let s be k\/(-1)*(-2)\/(-2). Let i = -0.04 - -4.04. Which is the second smallest value? (a) -5 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-677 + 223 + 220 + 234 - 90*t - 21*t**2)*(-4*t - 4*t + 3*t).\nAnswer: 105*t**3 + 450*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 46*h**2 - 6*h - 5. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 - 90\/48. Let m = 0.01053 - -1.98947. Which is the biggest value? (a) -2 (b) m (c) w (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 1411 - 14735 = -7*z. Solve 5*i + z = 887 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41182711 is divided by 5338?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -4\/3 (c) -5\/2 (d) 2727\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose 3*z = 7 - 28. Let q = k - z. Calculate the greatest common divisor of q and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010b (base 12) to base 5.\nAnswer: -32112343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*k - 5*y - 12, 12 = -4*k + y. Is (-32)\/k*(-6)\/(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107559053, -107559052, -107559051, -107559050, -107559049, -107559048?\n\"Answer: i - 107559054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 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: Let l(t) = 6*t**2 + 2*t - 3. Let h be l(1). Let x(d) = -2*d**2 + 5*d + 2. Calculate x(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -347?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 11.76. Let f = 0.7 + a. What is f rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -224, -901, -2030, -3611, -5644, -8129, -11066?\n\"Answer: -226*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 8*l - 5. Let s be c(-7). Let t = 6 - s. Suppose 4 = j, -4*o + 0*j + 12 = -t*j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 24917.92mg?\nAnswer: 0.00002491792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/((-492)\/41))\/((-2)\/9). Put b, 2, -696 in increasing order.\nAnswer: -696, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7789968 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: Let q = 343 - 62. Suppose -7*m + 3*y = -6*m - 190, -4*m - 2*y + 732 = 0. Let b = q - m. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 13175302?\nAnswer: 13175301.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 128, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -3*j + 16, -2*h = 2*j. Solve 3*a = -a - j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 < -194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18870\/2295 - 3\/108*-2*-4. Solve -12*r = -c*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, f: 1, z: 3, e: 1, v: 2}. Give prob of sequence ezzv.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1 + (-1 - 1 - 7)*(1 - 2 + 3))*((-3 + 2 + 0)*(-2*c - 5 + 5) - 4*c + 3*c + 3*c) in the form f + k*c and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/5))**(-15)*(a*a*a\/(a\/a**(-3)))\/a**(-5))\/(a**(3\/4)\/a**(-5)*a*a**(-6)*a*a**(1\/7)\/a*a) assuming a is positive.\nAnswer: a**(-193\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -156197.523 to the nearest 10.\nAnswer: -156200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -9\/5*h**2 + 3\/5*h**3 + 3\/5*h**5 - 6\/5*h + 0 + 9\/5*h**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 69640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069623 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -255?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbbd when four letters picked without replacement from {d: 2, z: 2, b: 6, p: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(5 + -5 - (4 - 2)). Let h be 110\/f - (-201)\/(-268). What is the greatest common factor of 208 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 10 = -21*i. Let d be 98\/i - 8\/10. Suppose 0 = -2*j + d*j - 364. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3 - 191414\/17. Let z = 11264 + f. Let u = 1999\/510 - z. Find the common denominator of 19\/10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-2)*j)*j\/(j*j*j**(4\/5)))\/(j*j\/(j*j\/j**(-4)*j))**(-14) assuming j is positive.\nAnswer: j**(-354\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 - 4*a + 9. Let u be l(5). Let k = -10 - u. Let p = 3 - k. Let s(c) = c**3 - 2*c**2 + 3*c - 2. Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose 95 = y*z + 2*c, z - 6*c - 55 = -2*c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1511, 6054, 13625, 24224, 37851?\n\"Answer: 1514*y**2 + y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 7*z + 20. Let y be (-102 + 109)*(0 - 1)*-1. Give f(y).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 3. Let o be x(9). Do o and -21 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1521*c**2 - 2*c - 578. Let n(l) = -507*l**2 + l + 193. Let d(x) = 8*n(x) + 3*y(x). Find the second derivative of d(k) wrt k.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 13, q: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o + 73*o - 185 - 142*o.\nAnswer: -o - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 657497329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 3. Calculate the least common multiple of (0 + 3)*(2 + -1) and b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - (-3 - (0 - 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from bbbqbbqobbqbqjjbb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:24 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36531 divided by -27?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78\/7 + 1156\/105. Let f = 33 - 32. Which is the nearest to 2? (a) f (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85266*m**6 + 174293*m**2?\nAnswer: 10231920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1786, -3557, -5320, -7075?\nAnswer: -8822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j - 9*j + 5*j)*(-10 + 10 + 9*j) + 4*j**2 + 4 - 4 in the form y + l*j + k*j**2 and give k.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4236 + 4236 + 9*n)*(-23 - 24 - 12).\nAnswer: -531*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248 and 4.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38847096 a multiple of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2925 - -0.332\nAnswer: 2925.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73628391?\nAnswer: 3, 24542797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 3\/548386?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 7*m + 23*m)*(0 + 9 + 1) in the form c*m + r and give c.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.22 - -3.378. Let y = s - 1.1. What is y rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448 - -490. Which is the second biggest value? (a) 4 (b) -12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -149, 0.5 in ascending order.\nAnswer: -149, -1\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*u - 2*u**2 - 148*u - 32 + 41*u + 2*u**4 + 19*u - 24*u**3 + 40*u in the form m + h*u**3 + z*u**4 + n*u**2 + r*u and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 6\/(6\/(-3)). Put -1, i, -5 in ascending order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(g + 2*g - g)*(-4 - 11 + 14).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 458765246 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611.09 rounded to the nearest 10?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3441117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 432 - 282. What is the highest common factor of f and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 3*o - 3. Let f be n(2). Let v be 108\/(-11) + 8\/(-44). Let l = f + v. Sort -5, -3, l in increasing order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - 9. Suppose -k + 7 = -3*l, 4*k + 0*l = 4*l + 28. Let q = k + 0. Let g(m) = -6*m - 5. Give q*g(v) - 4*n(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least -124\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 718.300003639 - 718.3. What is b rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, -1032, 0, -4 in increasing order.\nAnswer: -1032, -4, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163982 and 73829.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g + 55 = -71*g + 36*g. Let a(d) = -10*d**2 + 2*d. Let b(m) = -m**2. Determine g*b(s) - a(s).\nAnswer: 5*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 1009450.762?\nAnswer: -1009470.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 3190\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ptptptpp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/3)*o)*o)\/o)**17\/(o**(-4\/9)\/(o\/o**(2\/9))))**(21\/4) assuming o is positive.\nAnswer: o**(-637\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 48330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2513 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.056 + 3.944. Sort n, -1\/12, 1 in decreasing order.\nAnswer: n, 1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075436960?\nAnswer: 2, 5, 13, 191, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2\/5 - 55592*o\/5 + 5573988\/5 = 0.\nAnswer: 101, 13797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23758, 1, -3, 0.\nAnswer: -23758, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1544*m**2 - 5 + 11 + 2251*m**2 - m in the form o + u*m**2 + n*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**20*d)\/d)**(-18)\/(d**20*d)**(-3\/4))**41 assuming d is positive.\nAnswer: d**(58671\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -14. Suppose 4*p = 11 + t. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = -14*x + 458 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-9) + (5 - 3). Which is the closest to 0? (a) k (b) 6 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 10392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -104. Let n = 51 - o. Find the third derivative of 20*k**4 + 34*k**2 + k**4 + 9*k**2 - n*k**2 wrt k.\nAnswer: 504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24314122 (base 6) to base 7\nAnswer: -6363554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -100.07. Let w = l + 102. Which is the closest to -5? (a) 0.4 (b) -3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19838 - -19934. What is the remainder when 5371 is divided by s?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000497229 to seven dps.\nAnswer: 0.0000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(5*m - 2*m - 2*m) + 2 - 2 - m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/27 (b) 4 (c) 64 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 14\/39*j**3 + 4\/13*j - 3 + 9\/13*j**2. Factor v(p).\nAnswer: 2*(p + 1)*(7*p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1357 + 1351. What is the third smallest value in 0.5, q, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*n**2 + (-2*n + 2*n - 2*n)*(-3*n + 1 - 1) + 3*n**2 + 6*n**2 - 2*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113110 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*b + 7, 4*c + 14 = 2*b - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 37*p**3 + 5*p**2 - 7*p + 1. Determine b(3).\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13)\/(-16380)*-4535 - -1*(-4)\/(-7) and -71\/2628.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*t - 42*t = 51*t + 2240 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*y = 0, 5*m - y + 7126 = 7112 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and -77\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by 1158016.\nAnswer: 173\/1158016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272 + 280. What is the remainder when 747 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*t + 165, -4*t + 434*l - 437*l = -133 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -64?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 7. Let u be s(8). Suppose 14*r - 25 = u*r. Sort r, 3, -6 in decreasing order.\nAnswer: r, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110588 is divided by 303.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-2))\/(-4 - (-2 + -1)). Let n = -6 - -10. Let j(r) = 48*r - 24. Let u be j(1). Solve f - u = n*i + 5*f, -2*i = p*f + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -27*m - 2. Let c be v(-1). Suppose 2*h - 98 = -5*r, -4*h = -r + h + c. Suppose r + 3 = l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81135, -162368, -243601, -324834?\nAnswer: -406067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 12 - (5 - (-60 - (7 - 25))).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80)*-2)**2.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -38*u + 770. Let v be f(20). Let w(p) = 6*p - 24. Give w(v).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -990 + 992. Let k(g) = -g + 14. Let w = 11 + -5. Let o be k(w). Solve o = -j*t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.41531 hours to seconds.\nAnswer: 195895.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*v - 94*v + 42*v.\nAnswer: -174*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*l - 11 + 15, -37 = -4*x - 9*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18042124 and -89\/17980.\nAnswer: 2616107980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/145, 8 in decreasing order.\nAnswer: 8, -1\/145, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) - (-2*sqrt(1000) - sqrt(1000)))\/(sqrt(8)*2*-3).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/117 (b) -2\/3 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410147838 to the nearest integer?\nAnswer: 20252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*((-6*sqrt(68)*3 - sqrt(68)*4*-3)*1 + -3)**2.\nAnswer: -61425 - 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137769, 275175, 412581, 549987?\n\"Answer: 137406*d + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 207777, 415558, 623339, 831120?\n\"Answer: 207781*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*m + 13 = 2*m, o = m - 3. Let k = 8.4 + -1.4. Let n = k - 7.5. Which is the nearest to 1? (a) n (b) o (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12. Suppose 0*q + 5*q - 25 = s. Which is the nearest to -1? (a) 2\/15 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 + 1 - 16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -3*(-5 - -6)*341 - -5. Is 1025 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 20 = 5*k, 2100*k - 3 = 2101*k - 1 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 7)*-1 + 3*(-3471)\/(-9). Which is bigger: g or 3473\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10482, -7613, -4744, -1875, 994?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 102, -36876\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**3 + 3\/4*r**4 + 3 + 1\/2*r**2 + 0*r. Find the second derivative of j(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 193. Suppose -4*z + u - 27 = 0. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*u**5 - 8*u**3 + 1462*u.\nAnswer: 1840*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -3\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1233 + 122?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 6, g: 4, p: 2, a: 2, c: 2}. Give prob of sequence gp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 f when three letters picked without replacement from {w: 1, f: 2, j: 2, d: 1, p: 2, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13762*t - 13674*t = 279 + 3065 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-14)*(-11)\/((-77)\/(-42))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3702 divided by 22.\nAnswer: -1851\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 6200*d - 1922000.\nAnswer: -5*(d + 620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384669300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/28 and 131\/53916.\nAnswer: 377412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/6)*u*u*u*u**12\/u)**(-36) assuming u is positive.\nAnswer: u**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/12)\/(-12 - (-44)\/4). Which is the fourth smallest value? (a) -2\/5 (b) 0.1 (c) -57 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/6)\/((-4)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3704\/16 - (-15)\/6. Let f = -234 + y. Determine r, given that 0*r + 2\/5*r**5 + f*r**4 + 0*r**2 + 0*r**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -829 + 2486\/3. What is the second smallest value in 42, -0.2, h, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33)*24\/8*1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d + 31. Let l(g) = -7*g + 16. Let u(x) = 5*l(x) - 3*t(x). What is the units digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**3 + 6*k + 5 - 1\/78*k**4 + 1\/13*k**2. Let a(r) be the first derivative of o(r). Factor a(v).\nAnswer: -2*(v - 1)*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177425483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/25*(-10)\/56. Let v = g + -223\/2660. Let x = 4.1 - 4. Which is the second smallest value? (a) 0.2 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*p**5 + 2*p**3*w**3 - 24*p**2 - 2260*p*w**3 + 21*p*w - 3*w**2 wrt p?\nAnswer: -3840*p**3 + 12*p*w**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 843\/18 + (-4)\/(-6) and -87\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 5 + 5 - 10.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12272 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 2*r. Let h(q) = -776*q**2 - 48*q. Determine h(f) + 24*t(f).\nAnswer: -752*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 138437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 81 (b) -103 (c) -4588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -43. Let f = 9 - n. Which is the closest to 0.1? (a) -1\/5 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 1, n: 5, q: 3, j: 2, s: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105, -106, -105, -102, -97, -90?\n\"Answer: m**2 - 4*m - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -15*r + 2*z + 304, -z = 3*r - 298. Calculate the lowest common multiple of 4 and r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 0.5, 6.3, 0.3, 3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(-6*(sqrt(3630) + sqrt(3630)*-4))\/(sqrt(360)*-4*-5 + sqrt(360)))**2.\nAnswer: 13019\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/15 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001982945018 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:17 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 519.88 - 514.88. Let z = 0.8 + -0.8. Let s = 0.4 + 0. Which is the second biggest value? (a) 1 (b) s (c) n (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*b + 0 - 34*b**2 - 23*b**2 + 2 - 108*b - 116*b + 316*b.\nAnswer: -57*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*f + 7, 3*v + 4002*f = 3999*f - 27 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 33 = -2*y. Suppose 0 = -4*t - 20, k = -3*k - 2*t + 38. Find the second derivative of -8*m + y*m - 5*m**2 + k*m wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 4875.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 245\/280 + (-42)\/(-144)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4544852*g**3 - 11079*g - 7386. Let j(w) = 2462*w**3 - 6*w - 4. Calculate 7386*j(s) - 4*k(s).\nAnswer: 4924*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4656 by 4.\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 138, -3 in increasing order.\nAnswer: -5, -3, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29345260*q*r**3 + r**3 + 124*r**2 - 133376 wrt q.\nAnswer: -29345260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4316.4234us in hours?\nAnswer: 0.0000011990065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*(-10)\/(-8580))\/(5\/(-30)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*o - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**3 - 2*r - 2. Let u(c) = -4*c**3 + 51 - 159 + 15*c**3 + c**2 + 4*c + 58 + 55. Determine -5*b(m) - 2*u(m).\nAnswer: 3*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13091, 13093, 13095, 13097, 13099, 13101?\nAnswer: 13103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ooooohhoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 2, g: 1, n: 2, x: 9, k: 3}. Give prob of sequence gxx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4917*o + 20450. Calculate k(-4).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 + 5*a - 12. Let l be z(-6). Let o(b) = -2*b - 2. Let d(x) = -3*x - 2. Give l*d(w) + 7*o(w).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*w + 6 = 0. Let z = 1153\/3 - 384. What is the second smallest value in z, w, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 293*w**6\/15 - 209*w**4\/4 + 6*w + 59. Find the third derivative of m(i) wrt i.\nAnswer: 14064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2560)\/(-4200))\/(-32))\/((-7)\/(-49))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -141. Suppose i - 8 = -i. Suppose 0 = -3*y - 3*o + l, -3*y + 9*o - i*o = 1. Solve 3*t + y + 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 27*u = -31*u - 12, 4*u = -5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 5. Let j be f(4). Let c(y) = -4*y + 8. Let h be c(7). Calculate the common denominator of (-46)\/h + j + 0 and 67\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 329.\nAnswer: 14147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*x + 22. Let b be (1*(0 + 1))\/(x\/(-4)). Solve -5 = -k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 42 (c) -0.2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 54*i**2 - 404*i - 61. List the prime factors of l(28).\nAnswer: 3, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 665691154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 13*g - 9. Is o(19) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/4 - 7*i**3\/3 + 3*i**2 + 3*i - 6. Let j be x(6). Solve -j*q + 6*q + 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/677 + 977\/101550. Let j(h) be the third derivative of 0*h**4 + t*h**5 + 0 + 0*h - 1\/15*h**3 - h**2. Factor j(i).\nAnswer: 2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203\/(-66) - (-71 + (-4626)\/(-66))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 15*n**3 - 15*n**2 + 5*n.\nAnswer: -5*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/(((-4)\/5)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2\/2 + 27*x - 22. Let s be a(-17). What is the greatest common factor of 110 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 505 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*v = 6*v, -5*z - 15 = -5*v. Let o be 3*(-2)\/(-4)*z. Solve c - 20 = -o*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11111 - -11128.5045. Let d = 104.5645 + z. Let c = 122 - d. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 - 710?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.5 - 8. Let w = 0.7 + z. Let q = 2.2 - w. Sort 0, 2\/13, q in increasing order.\nAnswer: 0, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7037 times -20804\nAnswer: -14639.7748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 956, 1872, 2788?\n\"Answer: 916*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -43264 and 1.6.\nAnswer: -43262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1139.4011.\nAnswer: 5697.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/90 + 2\/(-9). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:03 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170*-473557.\nAnswer: 80504690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 + 9*s + 4. Let t be q(-4). Suppose t = -3*z - 0*y + 2*y + 43, 62 = 4*z + 2*y. Calculate the highest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 708 divided by -1\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74\/(-70))\/(3*-1). Let t = q + -2\/105. What is the nearest to 2\/7 in t, -0.1, -2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, -1, -12 in descending order.\nAnswer: 6, -1, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (9\/81 + 2*(-19442568)\/54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112100033 (base 5) to base 7.\nAnswer: 4163614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2. Let f(l) = -6*l**2 + 4*l**2 - 7*l**2. Give s(f(n)).\nAnswer: -162*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.82434 and 0.06.\nAnswer: 0.3494604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55490 is divided by 479.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 19*b**9\/504 - b**5\/5 - 21*b**2. Find the third derivative of t(p) wrt p.\nAnswer: 2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311811061?\nAnswer: 11, 37, 977, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 6. Suppose -3*h - 5 = -4*b, 3*b - 29 = -5*h + 11. Let p(n) = 6*n + 5. Calculate b*p(i) + 4*y(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 483*n**2 - 1916*n + 53. Calculate l(4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, j: 1, f: 1, k: 1, e: 2}. Give prob of picking 1 k, 1 j, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 446*v + 7140. Let r be p(-16). Solve a + r*g - 26 = 0, -87*a + 3*g = -89*a + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1077735 - 2546129.16.\nAnswer: -3623864.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q - 8 = 2*s, 2*q = -3*s - 20. Let y be -2*9\/s + 41. Calculate the highest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1166296 by 4.\nAnswer: 291574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uububbuuuu. Give prob of sequence bu.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 141. Let a be i(0). Let x = a + -97. Let s = x + -28. What is the lowest common multiple of 18 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3088 and 2895.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 410*r - 409. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.423 - -149.577. What is the second biggest value in 5, q, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155.73 + -155. Let a = 12.93 - z. Let x = a + -12. What is the second biggest value in -2\/11, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2063*l - 518. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 4*q - 4. Give n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 26 (b) 3 (c) 13 (d) 1\/3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -221952470 to the nearest one million.\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156140*x**3 - 312270*x**3 + 156132*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2994 - 3084 = 18*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -443*v**2 + 185?\nAnswer: -886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-22)*(v*v\/(v\/(v**(-2\/5)\/v)))**(1\/6)*(v\/v**(-4\/7)*v*v**(-1\/5))**36 assuming v is positive.\nAnswer: v**(6647\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2902*k**3*o + 232110*k**3 - 27*k*o**4 wrt o.\nAnswer: -2902*k**3 - 108*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13002230101 (base 4) to base 13.\nAnswer: -4c8337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1512)\/(-7))\/9)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -389a?\nAnswer: -389a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/171 and -101\/15516?\nAnswer: 294804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 6*c**4 - 3*c**4 + 6 + (c**2 - 3*c**2 + 4*c**2)*(-c**2 - c**2 + 3*c**2) + 0*c**4 - c**4 + 3*c**4 - 1 + 1 + 2*c**4.\nAnswer: 7*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((-1 - -22) + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-2)\/f)*f*f)**(-30)\/(f\/f**9*f**3) assuming f is positive.\nAnswer: f**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**5\/180 - 7*d**4\/72 - 4*d**3\/9 - d**2 + 10*d - 114. Let u(h) be the second derivative of q(h). Factor u(r).\nAnswer: (r - 8)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18 and 13\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6276375 divided by 896625?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 129*o - 1824. Let d be r(112). Solve 6*v - 22*v + d = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, e: 3}. What is prob of sequence ec?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 - 346 = -107*g + 974 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -279 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910348 is divided by 346.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i + 49*i = 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000059029 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w + 22 = 17*x + 72*w, 2*x = -w + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 24. Let y be l(7). Suppose 2*x = 4*u - 38, 0 = 4*x + 9 + 11. Suppose -110 = u*p - 138. Solve t + p*q = -4*t + 5, y*q = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41234429*d**2 - 50186730*d?\nAnswer: -82468858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 - -4.4. Let p be (1\/1 - 1) + 1. Sort g, -2, p in ascending order.\nAnswer: g, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3415 = 207*v - 4865 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 637.4 to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 7:35 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -51. Suppose -5*k + 3*r = -0*k - 32, -5*k + 4*r + 31 = w. Solve k*v - 6*v + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-4 + -2)) + 0. Solve -3*t - 20 = -p*a - 3*a, -t + 5*a = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 4:54 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lossooldhsssdo. What is prob of sequence shd?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 782, 5, 7, 0 in decreasing order.\nAnswer: 782, 56, 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -584277\/106 - -5512. Let d = -121\/318 - p. Let h = -3.2 - -3. Which is the third smallest value? (a) -0.1 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(0*u**4 - 2*u**4 + 0*u**4) + (2*u**2 + 0 + 0)*(-2*u**2 - 3*u + 3*u) + (13*u + 2*u - 4*u)*(0*u**3 + 3*u**3 + 0*u**3).\nAnswer: 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.45 + 0.45. Let v = -6 + u. Let l = 0.03 + 0.07. Put -0.5, v, l in increasing order.\nAnswer: v, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 22126432?\nAnswer: 22126427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13646440 - -2?\nAnswer: -13646437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 6*j - j - 2*j + 3*j + 0*j + (2 - 2 - 2)*(-3*j - j + 6*j) + j - 2*j + 0*j - 5*j + 3*j + 4*j)*(0 + 2 - 1) + (j - 4 + 4)*(1 + 1 + 1).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 781141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395745 + 53626 = -97*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 36026\nAnswer: -2\/18013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/4)\/((-1)\/4). Suppose 2*q = 3*q. Suppose -l - f*k = -2*l, q = -l - k. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/90 - 13*s**4\/12 - 19*s. Let m(u) be the third derivative of z(u). Let w(n) = n. What is m(w(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93936 is divided by 46795?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < 755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:23 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28686 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose 2*t + d*t + 87 = -3*r, -2*t = 3*r + 39. Suppose -2*s - 17 = 31. Are s and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(-23) assuming p is positive.\nAnswer: p**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 126. Suppose 5*d - 188 = -u*a, -5*a + 48 = 4*d - 187. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 320*x**2. Let q(f) = -2*f**3 - 318*f**2. Calculate -3*k(l) + 2*q(l).\nAnswer: -l**3 + 324*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -942160 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {a: 6, z: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 228\/(-2166) + (-18)\/190. Let w = 2.2 + -0.8. Let h = w - 1. Sort 3\/4, v, h in decreasing order.\nAnswer: 3\/4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273 - -482. Suppose -4*d - 2*f = -3*f + 1555, 2*d - 5*f + x = 0. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130.39849865 + 133.398499. Let t = g + -3. Round t to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303112112 - 1121?\nAnswer: 303110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 153 - 983. Let v = 182 - x. What is v rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -63*t + 1449. Let d be r(19). Calculate the greatest common factor of 564 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 1 (d) -2.766 (e) -0.05 (f) 20 (g) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igf when three letters picked without replacement from {f: 2, i: 1, v: 3, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -767*r**4 - 2720*r**3 + 5*r**2 + 360961 wrt r?\nAnswer: -18408*r - 16320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/422, -4, 4\/5, 1\/2, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + j + 2*j + 9 = 0, -a - 20*j - 103 = 0. Sort -1, 0, 28, a in ascending order.\nAnswer: a, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -15. Let z be ((-2)\/(-12))\/(-2 - -3). What is the closest to s in -2\/15, z, -0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9292279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -5 - 24\/(-3). Suppose 2*n + a - 33 - 228 = 0, l = 2*a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908\/(-6 - (-5 - 2))?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602145046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -33*t**3 - 7*t**2 - 172*t + 15. Is f(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21154132595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qmeamem?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:22 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 3553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-3 + 5 - 1)*(-3*i + 5*i + 0*i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*o - 183*o = 1071. What is the remainder when 212 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 32*i + 39. Suppose 0 = 2*z + 12 - 32. Calculate the remainder when h(32) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287.99999871 + -288. Round k to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124138?\nAnswer: 2, 7, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - 6*(sqrt(245) + -2 + sqrt(245)) - -6*(2 + sqrt(245)) - (sqrt(245) + 0 + -2 + sqrt(245))*-4)**2*4.\nAnswer: 2688*sqrt(5) + 9844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3165\/3)\/((-4)\/(-3 - 1)). Suppose -k + 0*k + 275 = 3*x, 3*x - v = -4*k. Let z be k\/(-60) + 1\/3. Let d(q) = q + 2. Calculate d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 28 = -30. Let d = g + 149. Calculate the greatest common factor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/14*((-66297)\/(-770))\/(-123).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 900 in 2, -2\/29295, 1, 2\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 38.5, 1\/123, -1\/3?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75069308 and 4?\nAnswer: 75069308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.05 + -35.05. Let u = -0.4 - -0.5. Let x be (4\/85)\/((-6)\/15). Which is the third smallest value? (a) 0.2 (b) k (c) x (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22776 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1100\/(-30))\/(10\/(-12)). What is the greatest common divisor of x and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weelzwjezcwllwezlz. What is prob of picking 2 z and 1 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(24) + sqrt(288)\/(1*sqrt(12)))\/((sqrt(4) + sqrt(16)\/sqrt(4) - sqrt(4))\/sqrt(2)))**2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 - 284*d**2\/7 - 2*d\/7 + 284\/7.\nAnswer: 2*(d - 142)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 205711639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514441055?\nAnswer: 3, 5, 1031, 97927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20312 + -123021?\nAnswer: -102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4 - 10*s + 2 - 6. Let g(h) = 3*h. Let k(r) = 16*g(r) + 5*u(r). Let n(j) = -3*j**2. Calculate n(k(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21*n + 501. What is the remainder when d(-14) is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3 + 12*p - 3. Let v(s) be the second derivative of -s**5\/120 + 179*s**3\/6 + s + 50. Let h(z) be the second derivative of v(z). Determine k(h(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, v: 2, m: 3}. Give prob of picking 1 v and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22000 + -2002?\nAnswer: -101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -280*h**2. Let j(i) = 450*i**2 + 125*i**2 - 572*i**2. Calculate j(d(o)).\nAnswer: 235200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2210789 and 3.\nAnswer: -2210786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 + 2*j**2 - 2*j. Let f be d(-2). Let s = f - 4. Let o = 73 + s. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3*i - 4*i**2 + 3*i**2 - 12 + 21 + 0*i. Let h(b) = -b + 2. Let m(y) = -6*h(y) + 4*o(y). Let p(j) = 16*j. Give m(p(n)).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 18*a - 8*a**3 + 11*a**3.\nAnswer: 15*a**3 - 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 47*b - 45*b + 41763, 5*l - 208824 = b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 57800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*l = 77, 4*l - 67 = -3*n - 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -868*f + 113. Let s(h) = -h - 3. Let c(t) = i(t) + 2*s(t). Is c(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, p: 1, w: 4}. Give prob of sequence wtww.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 10) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.74 and -0.4?\nAnswer: -2.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5893\/15 + 1961\/5. Let m = -1.1 - -1. Which is the closest to p? (a) -12 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/4 + 76*m - 305\/4 = 0 for m.\nAnswer: -305, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 3. Let o = -16 + 11. Let b be h(o). Suppose 18*t + 112 = 4*t. Is t <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1263, 1269, 1279, 1293, 1311?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1466\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297640\/455 + 4\/(-26).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(2\/(-42)). Let x be h\/21*(-18)\/(-4). Suppose 0 = -3*r - 5*v + 57, v = x*r + 3*v - 66. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.0112 and 1.25272.\nAnswer: -0.75848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -64\/3, 0.4, 40, 4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -57 - -6) + 4. Suppose 0 = 56*w - k*w + 512. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q*q**(-22) assuming q is positive.\nAnswer: q**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != -0.050359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.01 + -19.01. Which is the third smallest value? (a) t (b) 2 (c) -4.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 5*r + 4*r. Find the second derivative of -31*w**2 - 10 + 8 - r*w + 62*w wrt w.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -518 times -0.1\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166.6 + 164.6. Which is smaller: -5.2 or x?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 + 7*a - 8. Suppose -8*j - 28 = -15*j. Let y be x(j). Suppose -3*k = -y*l + 3972, 5880 = 5*l + 5*k + 915. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20895, 21040, 21185, 21330?\n\"Answer: 145*f + 20750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1226785537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -17*h - 53. Solve 24 = 4*a + h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213833 divided by -68\nAnswer: -213833\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:56 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/11)*(o*(o*o*o\/o**5)\/o)\/o*(o*o\/(o**2*o*o))**(4\/11) assuming o is positive.\nAnswer: o**(-47\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 9*h**2 + 11*h - 9. Let x(r) = r**3 + 4*r**2 - 5*r + 4. Calculate -4*s(t) - 9*x(t).\nAnswer: -5*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, r: 13}. Give prob of sequence br.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 363 = -3*f, -5*f + 6*f + 3*c - 127 = 0. Let r = 202 - f. What is the least common multiple of r and 9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 13*d + 4. Let j be b(5). Is j\/(-77) - (-4)\/((-88)\/(-14238)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 - 173*k - 172*k + 688*k - 173*k - 170*k.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2\/7 - 296*a\/7 + 884 = 0.\nAnswer: -91, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/18*(-9)\/(-2). Suppose -n + 2 = -f. Solve -2*z + f + 7 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 0.10499261530717?\nAnswer: 0.08499261530717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:35 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/3 (c) 5714\/871 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -943 - -891. Sort y, -1, 4, 0.\nAnswer: y, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171))**2*-6.\nAnswer: -9234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5\/4 - 869*k**4\/2 - 12451*k**3 - 207845*k**2\/2 - 688051*k\/4 + 288821 = 0.\nAnswer: -1709, -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0 + (2 - 4 + 1)*(-4 + 1 + 2) + 1 + 0 - 5)*(-4*j + 4*j + j)*(4*j**2 - 3*j**2 - 3*j**2) in the form y*j + a*j**3 + l*j**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4 - 15. Does 15 divide -1 - r - (3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.7, -1, -23, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 19. Suppose 22 = -182*b + 183*b. Let z be l(b). Sort 2, 15, z in increasing order.\nAnswer: z, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 4. Let y(g) = 5*g - 15. Let m(t) = -9*x(t) - 2*y(t). Let b be m(-7). Suppose 3*q + j = 5*q - b, 0 = 3*q + 4*j - 29. Solve -8 = -q*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260.5296 + -260. What is x rounded to 2 dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 16*r + 16. Determine c(10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30441102 (base 5) to base 3.\nAnswer: 110200021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6025 divided by 241?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26143\/24 - -2181\/2. What is the common denominator of -2536*39\/6656 - 16\/(-1) and q?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 5*g\/4 - 3\/2.\nAnswer: -(g - 3)*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - a66?\nAnswer: -a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - 4*o**2 + 6*o**2)*((-1 + 1 + 2*o)*(-118*o - 56*o**2 + 118*o) + 7*o**3 + 8 - 8).\nAnswer: -210*o**5 - 315*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -4086\/1130941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0068767183 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 549723.4 centimeters?\nAnswer: 5497234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(490) - (sqrt(490) - 1*sqrt(490))) + sqrt(490))\/(-3*(sqrt(45) - sqrt(5))).\nAnswer: -7*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 34. Let d = -8 + 23. Let g = d - 9. What is the smallest common multiple of g and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -192*c + 195. Let x be s(1). Solve -p + q + 2 = 0, 3*p - 16 + x = -4*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 7518665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.1 and 0.1672750432.\nAnswer: 19.2672750432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*g**2 + 1222*g**2 - 559*g**2.\nAnswer: 77*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1 - 4 - 3*c**2 + 4*c**2 + 2*c - 3*c. Let h be l(-2). Suppose -1929142 = -h*y - 399142. Round y to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001579856071 rounded to 6 decimal places?\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10136*o - 879*o + 1222665 = 0 for o.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623228 divided by 74?\nAnswer: 8422","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -114, -186, -454, -1020, -1986, -3454, -5526, -8304?\n\"Answer: -17*n**3 + 4*n**2 + 35*n - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9068*r + 9462*r = 5910 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlyy when four letters picked without replacement from ylhqm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9104174 and -1036509?\nAnswer: 10140683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(4)*3)\/((sqrt(162) - (sqrt(162) + (1*sqrt(162) - sqrt(162)))) + sqrt(2) + sqrt(2) + -4*(sqrt(2) - 1*sqrt(2))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/3)\/p**8)\/(p**(-1\/3))**(3\/22))**(-44))**(1\/40) assuming p is positive.\nAnswer: p**(481\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 12 = -2*r, -16*t - 3*r + 5 = -17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/62083 and 59\/6450115?\nAnswer: 1167470815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 6, a: 8, u: 1}. What is prob of picking 2 a, 1 f, and 1 p?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*h + 911*h - 2743*h + 923*h + 10*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8864, 17698, 26532, 35366, 44200, 53034?\n\"Answer: 8834*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*n = 24, -a + 0*n = -n - 3. Suppose -25 + 103 = 2*k. Let d be (-153)\/k + 12\/4. Is d at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2565 = -5*n + 259*k, -3*k - 13 = -4*n - 5*k - k + 40 - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**6 - 3030*r**4 - 3017*r**4 - 84*r**2 + 6090*r**4 + 9*r**6 wrt r?\nAnswer: 840*r**3 + 1032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:42 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 246082296293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4\/3 + 40*a**3\/3 + 32*a**2 - 40*a\/3 - 100\/3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7077 divided by -337\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 + c + 2. Let o = 6 - 4. Let h be o*-1 + (4 - 1). Suppose -4*p - 5*i = -17, -2 = -i - h. Give v(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 28*z - 8. Suppose 3*q - 15 = -z*q. Solve -3*s + q = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 3, f: 2, l: 1, e: 5}. What is prob of sequence tle?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - a5a1?\nAnswer: -a597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 1\/94 (c) 0.3 (d) 4 (e) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -884, -0.8 in descending order.\nAnswer: 12, -0.8, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*j - 2 + (0 - 1 + 2)*(-8*j - 3*j - 2*j) - 193*j + 15*j - 43*j - 1 + 1 - 2*j + (1 - 3 + 8)*(j - 4*j + 5*j) as d*j + q and give d.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1798 and 275404.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q + 126*q**2 - 103*q**2 + 3 + 2*q**3 - 30. Let b be h(-12). Let m(p) = b*p - 6*p**2 + p**3 - 10 - 54*p + 10. What is m(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3787, 7482, 11177?\n\"Answer: 3695*y + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 - 46*a + 126. What is the ten thousands digit of x(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-49 - (-36 + 26)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -307*d**2 + 526*d + 3. Let l(c) = -307*c**2 + 527*c + 4. Let s(q) = 3*l(q) - 4*y(q). What is the second derivative of s(k) wrt k?\nAnswer: 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*o**3 + 208*o**2 - 208*o**2)*(4*o - 3*o - 2*o) + (6 + 0 - 5)*(o**4 - 4*o**4 + 2*o**4) + o**4 - 4*o**4 - o**4.\nAnswer: 65*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -bb?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 4, u: 4, j: 3, t: 1, l: 3}. What is prob of sequence uj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -7*g**3\/6 - g**2 + 119*g. Let z(b) = -27*b - 9. Give 27*r(p) - 6*z(p).\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -33*o + 75. Find the first derivative of 4*k**2 + o*k**2 - 4*k + 24 - 2*k**2 - 3*k - 81 wrt k.\nAnswer: 10*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 9. Let g(w) = -6*w - 22. Let q(p) = g(p) + 3*r(p). Calculate q(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 2, t: 1, u: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 41*t**2 - 1024*t - 15. Give n(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3332 + -3327. Let s(m) = 77*m - 46*m + 78*m - 8. Is s(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 0.1, -59, 0.4, -27 in decreasing order.\nAnswer: 5, 4, 0.4, 0.1, -2, -27, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 - -23. Let c = v + 131. Let d = 27.000031 + c. What is d rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:35 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7265850 and 7965?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 + 17218760*g**4 + 43786363*g**2?\nAnswer: 120*g**2 + 413250240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1. Let o(m) = -9*m. Determine 2*a(j) + o(j).\nAnswer: -9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 7*k. Let b(y) = -9*y**2 + 15*y - 1. Calculate 2*b(a) + 5*d(a).\nAnswer: 2*a**2 - 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -126, 3, 2, 15, 5.\nAnswer: -126, 1, 2, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1 - (-7 - (-17 - 11))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 7\/10*y**2 - 2\/5*y - 5 - 1\/3*y**3. Factor a(f).\nAnswer: -(f - 1)*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/28 + 1 - (-124)\/368\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/2)\/(29\/((-31156034)\/39)).\nAnswer: 7, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 142. Which is the nearest to 13? (a) 0.3 (b) 2 (c) r (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1543 + 1563 = z + z, -59*z - 154 = 3*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 + 9*s - 9. Let l be w(4). Factor -2*c**3 + l*c**2 - 12 - 11*c**2 - 2*c**2 + 22*c - 6*c**2.\nAnswer: -2*(c - 1)**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303082921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*i - 5 + 20 = 0, 15 = 5*p - 5*i. Let g be (-1)\/1 - p\/(-1). What are the prime factors of 2\/1 - g - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.29, 3462\/11, -3 in increasing order.\nAnswer: -3, -2\/13, 0.29, 3462\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.1150481?\nAnswer: -0.6150481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5000 divided by -5\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + 747\/12. Let s = v - 60. Solve q - s*q - 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, d: 3}. Give prob of picking 3 y.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:44 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g + 320*g**2 - 284*g**2 - 6*g. Let n(t) = 22*t**2. Give s(n(c)).\nAnswer: 17424*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 3*x. Let y(g) = -9*g**4 + 84*g**3 - 199*g**2 - 66*g + 196. Let d(s) = 6*c(s) - y(s). Solve d(z) = 0.\nAnswer: -1, 1, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46 - -4)\/((-1)\/10). Suppose 0 = -2*w + 3*t + 248, 3*w - 3*t - a = -48. What is the third derivative of -w*l**4 - 3*l**2 - 2*l**2 + 118*l**4 wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 6:22 PM?\nAnswer: 613","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/6946232 and 137\/27528?\nAnswer: 20838696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/175*10\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 18*r + 0*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/9 (c) 0.328 (d) -1 (e) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*z - 4*z + 0)*(28 + 241 + 217 - 6).\nAnswer: -960*z - 1920","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6130286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91.3 and 0.25.\nAnswer: -22.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 16758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 4, 642 in ascending order.\nAnswer: 4, 84, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 7*l**4\/12 + 3*l**3\/2 + l**2 - 149*l. Let t be y(-1). Is -47 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4*k + 16, 4*q - 8*k - 7 = -3*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*s - 18*s + 4*s)*(-s - s - s + 13).\nAnswer: 186*s**2 - 806*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/(-102) - 459\/18.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-8 - (-3 + 2 - (48 + -140)) - 14).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 + 18*x + 84. Let j be k(-8). Put 49, -2, j, 5 in descending order.\nAnswer: 49, 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597312 divided by 2928.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135442 - -213?\nAnswer: -135226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 10 = 12 + 59 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 34 = -4*p - 0*p, p = -4*a - 67. Let b = 11 + a. Is 84\/(-3 - b) - -3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 + 2*x - 120. Let m(s) = -7*s. Determine m(a(f)).\nAnswer: -91*f**2 - 14*f + 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*v + 5*h, -4*v - 2*h + 94 = -62. Solve v - 129 = -44*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 933, 1386, 2113, 3216, 4797, 6958?\nAnswer: 9801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32309836.\nAnswer: 2, 13, 621343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:39 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 7, -40, -119, -242?\n\"Answer: -2*a**3 + 2*a**2 - 19*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4 + (1*2*sqrt(209))\/(sqrt(396) - -2*sqrt(396)))**2 + -2).\nAnswer: -40*sqrt(19)\/9 + 5765\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -0.064\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 22. Suppose 0 = 2*d - 5*k + 25, -d + 0*d = -2*k + t. Let s(x) = x**2 + x + 5. Let r be s(d). Solve v + r - 2 = l, -5*l = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44414526 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let w(v) = z*v + 3*v + 0*v. Let p(f) be the second derivative of f**3\/2 + 4*f. Calculate p(w(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.7, 3 in ascending order.\nAnswer: 0.02, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40942244 or -40942245?\nAnswer: -40942245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/655, -3\/2, 0.47, -5 in decreasing order.\nAnswer: 0.47, -1\/655, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 524394?\nAnswer: 3670758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (203 - 197) + (-8 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054759 rounded to 4 decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2062 divided by -1031\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 23822*w**2 - 72100448*w + 6906405528 = 0.\nAnswer: 99, 5906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 - -399. Let g = 188 - q. What is the highest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3061.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -7 - (-6 + 0). Let d be (-2)\/8 + (-27)\/(-12). Suppose -d*m + 325 = z*m. Calculate the greatest common factor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**5 + 3852*x**4 + 3873*x**3 - 2886*x**2 - 3861*x - 966 = 0.\nAnswer: -1, -1\/2, 1, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -3*i. Let f be 1 - (3 + (i - (0 - -4))). Solve p - f - 3 = -3*m, 5*p = 5*m + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226846.\nAnswer: 2, 101, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -102\/11, -0.91, 7.98?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + (-32)\/4 - -11. Solve -5*y - 34 = -a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/2561 or 1?\nAnswer: -9\/2561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.8 - 41.1. Let d = -38 - m. Let q = 11 + d. What is the third biggest value in q, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6551715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from njsammgsggmn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 2 = 0. Which is the third smallest value? (a) -4 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*g**2 + 74*g**2 - 42*g**2)*(-1 + 1 + 1)*(4*g + g - 3*g) + (-g**2 + 3*g**2 + g**2)*(-9*g - g + 3*g).\nAnswer: -49*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 18. Let y = -3 + h. Suppose -5*k - 11 = -3*d + y*d, -2*k - 5 = d. Are -2 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/5 + 36*k**4\/5 + 164*k**3\/5 + 256*k**2\/5 + 174*k\/5 + 44\/5 = 0. What is k?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -30512723.\nAnswer: -30512722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -2, -6?\n\"Answer: -4*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/8 (b) -19 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -60. Let a(o) be the third derivative of o**2 + 1\/24*o**4 + n + 0*o + 2\/3*o**3. Calculate a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine halves of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.26657 kilometers in micrometers?\nAnswer: 4266570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -102, 0.12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 78*q**2 - 47*q + 31. Let t(r) = 26*r**2 - 17*r + 11. Let l(f) = 3*j(f) - 8*t(f). Calculate the remainder when l(-3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8 - -5.64. Let m = 0.637 - 22.197. Let b = d - m. Round b to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8 = 2*t. Suppose -t*c + c = -24. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 58*m - 11. Suppose -454 = 20*r - 54. Is y(r) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 20. Let k be w(0). Let r = k - -170. Let c = -87 + r. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/65*(-25)\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*f + 49, 0 = c + 5*f - 3*f + 13. What is the units digit of ((-3)\/c*3)\/((-3)\/(-165))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -76. What is the closest to 2\/5 in x, -4\/7, 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220 * -16.\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*o - 43, -g = -o - 3*g + 11. Let s(k) = 4*k**2 + 11 - 3*k**2 - 2*k + 3*k + k. Let m be s(o). Calculate the highest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -903.0895?\nAnswer: -903.1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 6)*(-39*l + 20*l + 11*l)*(0 - 1 - 1).\nAnswer: -96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-28)*1358\/(-291)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138936 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 9473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 5*u**4 + 2*u**4)*(-29*u + 5*u - 8*u).\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/(-38))\/2 + (-253648)\/(-65322) and 14\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2\/s)\/((s\/(s\/s**4))\/s))\/((s\/(s\/(((s*s**(-4))\/s)\/s)*s))\/s**(2\/11)))\/((s**0\/s)\/(s*s**(2\/9)))**20 assuming s is positive.\nAnswer: s**(4814\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + w + 2. Let s be l(5). Suppose s*b - 3*b = 0. Suppose b = 5*j + 5*g + 20, -2*j + 5 + 12 = -3*g. Solve -2*t - 3 = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17724616 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 32 - 1 - 15 - (1 - 25).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52768*h - 52766*h + 14 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:59 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6728 + 40*m**4 - 3152*m - 10768*m + 23*m**5 - 2278*m**3 + 86*m**4 - 25*m**5 + 9346*m**2 = 0. Calculate m.\nAnswer: 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + 4.5. Sort 2, o, 25, 1\/3 in ascending order.\nAnswer: 1\/3, 2, o, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 689 and 2?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 8, q: 5, u: 5}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -86, -228, -446, -746?\n\"Answer: -l**3 - 29*l**2 + 22*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -30*n + 92. What are the prime factors of s(-18)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + o + 6. Let f be q(-3). What is the tens digit of (4 + f\/6)\/((-6)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2656239577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -257 - 310078?\nAnswer: -310324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*f + 2*f - 8, -4*f + 2*s = 0. Let b = -194\/5 + 437\/40. Let p = b - -55\/2. Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99672294 divided by 4333578\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133740 by 90.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7534, 7696, 7966, 8344?\nAnswer: 8830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13170 and 3615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + a + 4*a = 25, 0 = -3*v - 2*a. Let o(w) = 2067*w**2 + 32*w + 59. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 19. Let w be m(0). Suppose -z = z - 3*k - w, -23 = z + 5*k. What is the third derivative of r**5 - 2*r**z + 4*r**3 - 4*r**3 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25961393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2154002368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 669156599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6273 and -2259944363.\nAnswer: -2259944361.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) 14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9480 divided by -1896\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492122.\nAnswer: 2, 241, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123 + 10 + 24\/(-3). Which is smaller: f or 130?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*l - 355 + 448 = 0, 0 = -4*v - 0*l + 12*l - 260 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81\/2*f + 1\/2*f**5 - 11\/2*f**4 - 27\/2 - 45*f**2 + 23*f**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -30*q**2 + 0*q**3 + 7306*q - 5*q**3 + 0*q**3 - 7361*q - 30 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -4, 15, -6, -324, -10 in ascending order.\nAnswer: -324, -10, -6, -4, -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 + a + 1. Let i = -17 + 31. What is the remainder when r(2) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + 4*w)*(-1 + 5 + 9) + 2 + 3*w - 2.\nAnswer: 55*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 14 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-45) - -12 - 9\/135*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(20) + sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(2)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15876.47*-0.1\nAnswer: 1587.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 6*b + 6. Let r be t(-4). Suppose 3*f + 2*o - 1 = 4*f, -3*o + 9 = f. What is the tens digit of (38\/(-3))\/(r\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -408 - -407.9. Which is greater: j or -60?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*j**2 - 5*j + 88*j**3 - j - 87*j**3 - 357*j**2.\nAnswer: j**3 + 455*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6\/11)*((z\/(z*z**(-2\/11)*z*z)*z)\/z)\/z)**(-10) assuming z is positive.\nAnswer: z**(140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-6)\/(-24))\/(2\/(-6)). Suppose 0*b = 4*b + 2*q, -5*q = 4*b. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/17765244 and 47\/405.\nAnswer: 88826220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 1\/70*f**7 + 0*f**4 + 0 + 0*f**3 + 0*f + 0*f**6 + 3*f**2 - 1\/20*f**5. Find the third derivative of v(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 43 + 96)*(-1 + 2*d + 1).\nAnswer: 226*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1874\/2305 - -6\/461. Put 1\/5, -2, -0.2, s in increasing order.\nAnswer: -2, s, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 17*j + 14003644. Let k = -7000908 - j. Let x be 1 + k - ((-2)\/(-2) + 3). What is x rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/55917 and -23\/145350.\nAnswer: 47529450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13 = -7. Let u be (1\/v)\/((-5)\/4). Let d(n) = n. Let q be d(1). Is q bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.2 * 0.0542192.\nAnswer: -0.76991264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*q + 3*q - 2*q)*(0 + 0 - 2)*(-5*q**2 + 45 - 45).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -32*(4\/4 + (-9)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuca when four letters picked without replacement from cmcmummuntmmamt?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -316695 + 19954754\/63. Let z = 83281\/28 - 11695\/4. Let c = d - z. Find the common denominator of c and -7\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t + 3*s, -4*s - 25 = 2*t - 9. Let q(o) be the first derivative of 0*o + 6*o**2 + 9\/4*o**t + 13*o**3 + 15. What is d in q(d) = 0?\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-20))\/((-3)\/20). Let a = -3 + 1. Let d = a + x. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 7, g: 4, f: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:26 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 3.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 2. Let j(k) be the third derivative of k**4\/12 + k**3\/3 - 71*k**2. Determine 5*a(p) - 6*j(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 - 35*u + 49. Let t be h(5). Which is smaller: t or -6\/257?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 164\/5 (b) -1\/3 (c) -4 (d) 0.3 (e) -0.2 (f) -121 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.10649 (c) 1\/10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566441?\nAnswer: 566441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 537992 and 6188.\nAnswer: 9145864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30428 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 9*g**2.\nAnswer: -3*g**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 38 - 37)*(-v**3 + v**3 - 2*v**3)*(-10 - 5*v + 10 + (-6*v + 10*v + 12*v)*(0 + 0 + 1)).\nAnswer: -638*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*k - 1317 = -240, 2*z = -2*k + 2118. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -34. Suppose 6*t + 2*p - y = t, -3*t + 2*p = 0. Which is the biggest value? (a) t (b) 0.1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.27217kg in milligrams?\nAnswer: 7272170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14223 - -14619. Suppose -4 = -2*k, k - 38 = 5*m - 6*m. Calculate the highest common factor of q and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 4*z - 8*a - 4, 3*a = 3*z - 12. What is the closest to z in 2\/7, -5, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.3 + 32.14. Let f = o + -1.54. What is the third biggest value in f, 2\/15, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24 = 8. Suppose 0 = -c*m + 613 - 109. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.246009 to two dps.\nAnswer: 78.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*r - 24. Let z(k) = -k**2 - 13*k - 11. Let p be z(-12). Let c = p + r. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-4\/5)*x*x))**(-23)*(x*x**(-2\/19))**(1\/39))**38 assuming x is positive.\nAnswer: x**(34256\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100220*f**3 - 47*f**2*r - 2*f*r + 908*f + 336*r + 1 wrt f.\nAnswer: 601320*f - 94*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/f*f**(-1))\/(f**(4\/5)\/f*f\/((f\/(f*f**0))\/f)) assuming f is positive.\nAnswer: f**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 454662.\nAnswer: 454662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 50*r**2 - 3*r - 1. Let y(v) = -95*v**2 + 6*v + 2. Give -5*h(j) - 2*y(j).\nAnswer: -60*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17269703075 - 17269702334.9999079. Let x = t - 740. Round x to 6 decimal places.\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + 2*o)*(4*o**4 - o**4 - 4*o**4) + 6*o**5 + 0*o**5 - 4*o**5 + o**5 - 2*o**5 + 3*o**5.\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2. Suppose 5*k - k = -4*d + 20, 0 = -5*k + 4*d - 11. Calculate the remainder when 9 is divided by j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 100001101?\nAnswer: 100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*q + 3. Suppose -o + 3*o - q = -5*s, s = -2*o - 6. What is the units digit of 1 - (-2)\/s - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:23 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 4 (c) -4 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -980696\/135 - -7264. Calculate the common denominator of u and (-6)\/(1732\/(-56) + 2).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1*sqrt(7)*-3)*5.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -51155?\nAnswer: 51152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 87. Let p be t(-43). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + k**2 - 2*k - 2. Let p be n(-2). Let x = p - -2. Suppose -r + x = -10. Solve 0 = 5*h - 0*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11409305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120191111*d + 48011835 with respect to d.\nAnswer: 120191111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m**(-5\/3)*m*m)*m*m)*m**(2\/47)\/m*(m**(-2\/3)\/m)**45 assuming m is positive.\nAnswer: m**(-10804\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -382 - -384. Suppose -3*j + 1569 = -n*i, -4*i - 1575 = -9*j + 6*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/60 + (-235)\/975?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 509*g + 7135. Let r be f(-14). Solve -104 = 35*u - r*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/180 and 41\/21.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -26.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1651589*k**3 + 918216?\nAnswer: 4954767*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 6. Let l be g(8). Solve -l*u = -3*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -1\/4*t**4 + 1 + 5\/3*t**3 + 0*t**2 + 0*t. Find the third derivative of b(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18989 + -18989.2. What is the closest to -1 in d, 0.3, 9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2. Let c(g) be the first derivative of 0*g + 3\/2*g**2 - 6. Determine a(c(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-919 - -961) + 3 + -7\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, 1, 0 in decreasing order.\nAnswer: 1, 0, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1 + 1 + -1 + -1. Let l be (12\/(-4) + 2)*-1*j. Suppose -l*p - 3*p = 3*t, 4*p - 4*t = 32. Calculate the smallest common multiple of 7 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 2*q**2 + q + 14. Give m(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/21*12\/36.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23644 and 46.\nAnswer: 23644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -91, -152, -259, -424?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**7\/840 - 31*n**4\/24 + 21*n**2. Let x(f) be the second derivative of j(f). Let a(w) = 38*w. What is a(x(q))?\nAnswer: -114*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 171, 7 in descending order.\nAnswer: 171, 10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*x + 2*z - 4, 2*x = -4*z - 4. Let w(s) be the second derivative of x - 5\/2*s**2 - 1\/2*s**3 - 3*s. Give w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 392.6, 1\/3, 3 in decreasing order.\nAnswer: 392.6, 3, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u + 27*u - 14*u - 24*u**2)*(56872 - u**2 + 1218*u - 56872).\nAnswer: 24*u**4 - 29232*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73202309 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -709\/1744 in 0.2, -0.3, 3, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(363)*1)**2 - (sqrt(3) + 3 + -5)) + (sqrt(162)*-6)\/(3*-1*sqrt(6)).\nAnswer: -361 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - (1 + -4))*-1. Suppose 0 = 14*d - 19 + 5. Let z be (-63)\/(-21) - (0 + -1). Sort -3, z, d, p in decreasing order.\nAnswer: p, z, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13099.\nAnswer: 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-6)\/36). What are the prime factors of 10 + (36\/(-3))\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19096, -38200, -57308, -76420, -95536, -114656?\n\"Answer: -2*a**2 - 19098*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*c = -4, -a + 2*c + 2 = 4*a. Suppose a*x - 1068 = -4*x. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -87, -96, -109?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028453 to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.39698513 - 295.39693653. Let z = l - -271. What is z rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 5*z + 64*z + 1007712 = 1006048 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10918469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68*2\/(-8) - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w\/w**8*w)\/w)\/w))\/(w\/((w**(-13\/4)*w*w)\/w)))**(-9\/4))**4 assuming w is positive.\nAnswer: w**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31040 - 3?\nAnswer: -31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*v**2 - 13*v**4 - v**4 + 13*v**4 - 109 + 116 to f*v**4 + h*v**3 + a*v**2 + u + j*v and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15858*x - 1280 + 3063 - 1783 to w*x + y and give w.\nAnswer: -15858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6250, -6, -2118, 5 in ascending order.\nAnswer: -2118, -6, 5, 6250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -4*d**5\/45 - 2*d**4\/9 + 4*d**2\/9 + 4*d\/9 - 25. Suppose n(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - 7*f - 2*f**3 + 11*f**2 + 4*f - 4*f**4 to u*f**4 + x*f**2 + l + k*f**3 + n*f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -62, -128, -228, -374, -578, -852?\n\"Answer: -2*x**3 + x**2 - 33*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265 + 360. Let u = z - 493. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:06 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -18, -5 in decreasing order.\nAnswer: 2, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/3641 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 + 1460*g**3 + 36040*g**2 - 1353140*g - 1387722 = 0 for g.\nAnswer: -703, -47, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + -1)**2*6 + -3 - (sqrt(6) - 2*sqrt(294))\/(sqrt(3) - -1*sqrt(6)\/sqrt(2)).\nAnswer: -467*sqrt(2)\/2 + 4803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3\/(-8) - 1\/(-2). Let u(c) = 4*c**3 + 2*c**2 - c - 2. Let o be u(d). What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306380213?\nAnswer: 67, 751, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 2115*s**2 + 224715*s + 222605.\nAnswer: 5*(s + 1)*(s + 211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 10*d - 4*s + 17 = 0, 28 = -d + 5*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -541 by 1.\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6 + 170*w**2 - 326*w**2 + 161*w**2 - 7*w - w**3 - 12. Give v(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, -28217, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27653*n**2 + 1988*n**2 + 73046*n**2.\nAnswer: 102687*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 19 = 3*q + 5*c, -4*c - 28 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 897.0086.\nAnswer: -32292.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:55 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5666462 or 5666374?\nAnswer: 5666374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*g = 29, 2 = -2*g - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**2 - 3*d + 1916. Let h(v) = -v**3 - 9*v**2 - 2*v + 1916. Let l(b) = 3*h(b) - 2*s(b). What is the first derivative of l(y) wrt y?\nAnswer: -9*y**2 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z - 2*z**3 - 664*z**2 + 3*z**3 - 4*z - 17*z + 672*z**2 = 0. Calculate z.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(1 + sqrt(2))**2 - (sqrt(160)\/sqrt(5))**2) + (sqrt(14)\/sqrt(7) + 5 - sqrt(12)\/(sqrt(6) - sqrt(150))).\nAnswer: -19 + 13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v + v**3 - 7*v + 10*v**3 as w*v**2 + r + h*v + z*v**3 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6348*m + 0*m**2 - 6348*m - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58473 - 58470. Let k(s) = 6*s**3 + 2*s**2 + s. Let z be k(-1). Put 2, z, u, -2 in decreasing order.\nAnswer: u, 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 7:40 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = 7, -2*o + 49 = -f. Suppose -o = 4*u - u. Let h be -2 + (-2)\/u + 1. Which is the third biggest value? (a) -0.2 (b) 3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - g, -4*h + 3*g - 2 = 2. Suppose 5*l = -h - 3. Is l less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1481 times 4695?\nAnswer: -695.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/(-30))\/((-35)\/(1260\/(-24))))\/((-5)\/444).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (140 + 3)) + 3. Is 15 a factor of l\/(-9) - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*t + 4, 3 = 2*g - t + 2*t. Sort -5, 1, -4, g in ascending order.\nAnswer: -5, -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2134 = -2*m - 773*a + 777*a, 5*m - 5305 = 4*a. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 less than -1036664815.1099?\nAnswer: -1036664814.6799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-7 + 3)\/(-4). Let c(d) = d**2 - d + 14. Calculate c(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 less than or equal to -34326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g - 1 + 4\/15*g**5 + g**4 - 4\/9*g**3 - 2*g**2. Find n, given that k(n) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*m - 4. Let y be (-6)\/(2 - (-4)\/m). Suppose 0*s + 6 = s + u, y*u = -12. Is s 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 rrrzrrrrrzzrrrzz. Give prob of sequence rr.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 32 = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 + 26524*k**2\/3 - 97416*k.\nAnswer: 4*k*(k - 11)*(k + 6642)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbs when three letters picked without replacement from bscbcbsssh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3813)\/(-5084) + (2 - 1)*(-118)\/8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19728 + 157825\/8. Which is the smallest value? (a) j (b) -2\/11 (c) -28\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -4 + -79 + 74.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 14*c**2 + 20*c + 8. Let r(t) = -t**2 - t. Let w(o) = -l(o) - 4*r(o). Factor w(k).\nAnswer: -2*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1106 - 1085.68. Let b = m - 1.72. What is b rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 5*r - 8. Let n(f) = -6*f**3 - 24*f**2 - 24*f - 39. Let i be (-2 - -5) + (-928)\/116. Determine i*n(o) + 24*p(o).\nAnswer: 6*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*n + 37*n + 782*n**2 + 29*n to s*n**2 + z*n + q and give s.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 121, 147, 173, 199?\n\"Answer: 26*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:58 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 19 = 3*o, -2*n + 7 - 2 = 5*o. Sort -5\/6, n, -1\/9 in decreasing order.\nAnswer: -1\/9, -5\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 2. Let o = 0.1 - 0.4. Which is the nearest to g? (a) 1\/7 (b) 3\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 3. Let q(u) = 2*u**2 - 1. Let b(i) = 7*q(i) + 2*s(i). Let k(m) be the first derivative of -m**3\/3 - 802. What is k(b(y))?\nAnswer: -16*y**4 + 8*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*b - 27, -b + 13 = 12058*r - 12061*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 2*k + 2*k. Let a(s) = -13717366 - 37*s - 20*s**2 + 13717394 - 3*s**2 - s**3. Is a(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*q + l - 36333 = -442*q, -5*l - 181755 = -5*q. Is 116 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 less than 786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2898108\/23 or -126004?\nAnswer: -126004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185431096 + 185431141.9999988. Let q = j + -46. Round q to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2386*r + 2413*r - 7176*r + 2385*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, -96, -359, -842, -1611?\n\"Answer: -11*g**3 - 11*g**2 + g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and 1\/(-3)*(-82)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110100011001?\nAnswer: 110100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 340059 times 0.3\nAnswer: 102017.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 4. Let m be u(2). Let h be 1 - -167*(3 - m). What is the highest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 13. Let b be p(-10). Suppose -v + b = -33. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 123*a - 119*a = -514, 2*a = -p + 168. Solve -5*s - p = -185 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 27*a - 5*a**2 + 52*a**2 - 24*a.\nAnswer: 47*a**2 + 3*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1824 by 608.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y + 6. Calculate the least common multiple of (y - (-6 + -1)) + 5 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let b(r) = 348*r**2 + 1. Determine b(q(z)).\nAnswer: 348*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2349570 and 5780?\nAnswer: 4699140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 5. Let x be b(-5). Suppose 4*i + 4*n + 3 - 39 = x, 4*i = 3*n + 71. Let v be (-10920008)\/28 - (-4)\/i. What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*m - 99. Let r be 201\/2 - (10\/4 - 2). Calculate the highest common divisor of m and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or -129326\/1313?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/3 (c) 1470\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 769\/(1564146\/(-565))*-9*(-1)\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {l: 1, i: 2, b: 4, k: 7, p: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11275 + -11217. Calculate the remainder when 69 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513507189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6841343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Let n = -205 + 210. Suppose -n*g + 12 = 4*f + 32, -g - 5 = f. Solve g*o + 2 = i*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 138264.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4040 - 844 = -799*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/((-89)\/(8900\/140))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9271 + 14\nAnswer: 9285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6a7c (base 13) to base 16\nAnswer: -3a7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*x + 20, 0 = 3*x - 32*q + 36*q - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w. Let n be y(0). Suppose -l + 2*c - 10 = -2*l, n = l - 2*c + 6. Solve l*f = -2 - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 21*j**3 + 27*j**2 + 21*j - 24.\nAnswer: -3*(j - 1)**2*(j + 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 - 2*c**2 + 4*c**2)*(-272*c + 4289 - 4289)*(4 - 1 - 2) as n + f*c + o*c**2 + a*c**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 274652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*r + 5*r + 92, -158 = -3*b - r. Suppose h = 2*h - b. Let x = h + -31. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -30.5. Let z = 0.2 + 0.7. Let f = z + o. What is the second smallest value in f, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106115, -106114, -106113, -106112, -106111?\n\"Answer: v - 106116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 12*o**2 - o - 10. Let z be j(-12). Let u(a) = 3 + 34*a**3 - z + 56*a**3 + 2*a**3 + a**2. What is the tens digit of u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/21*1*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 5)*(2 + v**3 - 2) - v + v - 18*v**3 + 3*v**3 - 35*v**2 + 35*v**2 in the form z*v**3 + b + w*v**2 + k*v and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0*v**3 + 7\/30*v**5 + 0*v**4 + 0 - 47*v**2 + 0*v. Let o(c) = -c**2. Give h(o(j)).\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h - 7*h**2 - 10 + 39*h**3 - 8*h - 11*h**3 - 15*h**2. Let q(p) = 13*p**3 - 10*p**2 + p - 5. Let m(r) = 13*q(r) - 6*w(r). Give m(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 3065?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -22483844.7 to the nearest 100000.\nAnswer: -22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 30 = 11*u - 47*u. Suppose 6*t + 8 = 4*t. Sort t, u, 2 in ascending order.\nAnswer: t, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*c + 52. Let n be 3\/((-9)\/(-2))*-3. Let t = n + 3. Calculate the smallest common multiple of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddodooddo. What is prob of sequence oo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -7*k**6\/60 + k**5\/60 - 4*k**2. Calculate p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:20 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) 0.04 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006682662469 to six decimal places.\nAnswer: 0.000668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4544 and 8?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3 - 6*g + 4*g**4 + 3*g**3 wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -51718.\nAnswer: -77\/51718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k = -152*k + 5*s, 0 = -2*k + 2*s. Solve 18*a - 11 - 43 = k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066906426 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445 less than 30.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -p - 15, -p - 50 = -4*w - 2*p. Let t(j) = -2*j - w + 13 - j. Let r(f) = -2*f**2 + f - f. What is r(t(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*v - 159, -5*v = 4*f - 143 - 20. Suppose -5 - 15 = 5*c - 2*p, -3*c - v = -5*p. Put c, 5, -3 in decreasing order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 26*s**2 + 2*s + 54. Let t be (-184)\/7 + ((-16)\/(-7) - 2). Let k be m(t). Factor 3\/4*c**4 - 3\/2*c - 5\/2*c**3 + 1\/4 + 3*c**k.\nAnswer: (c - 1)**3*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 + 316\/(-168) + 2. Which is the fourth smallest value? (a) o (b) -3\/5 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 144333?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**2 - 1128*p - 9. Let c(r) = 31*r**2 + 1690*r + 13. Determine -5*c(f) - 7*s(f).\nAnswer: -f**2 - 554*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -9. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(1088\/(-24))\/17)\/6?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) 2\/281 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5*q + 1. Let x(i) = -10*i - 15. Let f be x(-3). Suppose -6*y + 15 + f = 0. Give t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + ((-245)\/(-60))\/7. Which is the nearest to 1\/18? (a) 5 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14679*g - 557787. Give k(38).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8368 - -10783. List the prime factors of f.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 46*j**2 + 242*j - 10. Let x be r(-10). Is 1170 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u - 12 = 0. Let m = -8 + u. What is the units digit of (-8)\/m + 128\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/5 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -447, -443, -435, -423, -407, -387, -363?\n\"Answer: 2*s**2 - 2*s - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32065)\/3025 + (-198)\/(-55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, l: 2}. Give prob of sequence sl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/8))\/((t*t**20)\/t) assuming t is positive.\nAnswer: t**(-151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-52)\/30 + 6\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*d - 563*d**3 + 88*d - 916*d**3 + 105*d wrt d?\nAnswer: -8874*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 553, 1245, 2215?\nAnswer: 3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-g**2 - 3 + 3)*(-g**2 + g**2 + 2*g**2)*(6 - 4*g - 6).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85494774 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from rrurralorrarrllrrro.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 3*x**8\/560 - x**6\/360 - x**3 + x. Let m(a) be the second derivative of t(a). Find the third derivative of m(k) wrt k.\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 17*n - 26 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 18?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 10*z + 17. What is the smallest common multiple of 63 and g(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -4, 25, 90, 203, 376, 621, 950?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - t = 97, 6*k - 6*k - 86 = 2*k + 3*t + 2*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 8*j + 17. Let x be n(-6). Let d = x + -40. Which is smaller: d or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 65, 71, 77, 83?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 23*i + 19. Suppose 0 = i*t - 162. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 75. Let g(y) = 2767*y**2 - 4*y + 1. What is f(g(n))?\nAnswer: -5534*n**2 + 8*n + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 396. Let g be (o\/22)\/(6\/4). Find the third derivative of -26*x**g - 6 + 4*x**2 + 4*x - 3*x**2 - 4*x wrt x.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 6}. What is prob of sequence jgj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 36*i**2 - 38*i + 48. Let f be g(37). Solve -7*h + 12 = -f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-6*l**2 - 2*l**3 + 6*l**2) + (l**2 - 5*l**2 + 3*l**2)*(2*l - l + 0*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10679*g + 25 = 10684*g, 3*g + 10 = -2*g for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - 2205\/(-27). Let u = 150 - 109. What is the greatest common divisor of k and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let n be 6\/(-3) + 5\/u. Suppose 2*r**2 + 0 + r + n*r + 2 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 464 = -4*p, -31*k - 465 = -4*p - 28*k. Differentiate 106*c + 101*c - 207*c - p*c**2 + 89 with respect to c.\nAnswer: -234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 5*v. Let x be g(4). Let h(r) = -4 - 4*r + 2*r + 3*r. Let t(p) = -16. Let n(y) = 3. Let q(w) = 11*n(w) + 2*t(w). Give x*q(o) - h(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + o - 89 = 0, -43*o - 12 = -47*o. Suppose -2*h + 5*v + 40 + 67 = 0, 257 = 5*h - 2*v. Let k = h - 35. What is the remainder when m is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9793 to one decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 186690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6476 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 - 15 = -u, 3*u - 3*s = 0. Let w(p) = -p**u + 4 + p**2 - 6 - 3. Let q(r) = 2*r**3 - 3*r**2 + 11. Let k = 2 - 5. Calculate k*q(j) - 7*w(j).\nAnswer: j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10487, 10841, 11193, 11543, 11891, 12237?\nAnswer: 12581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -314, 1 in descending order.\nAnswer: 3, 1, -4, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210010 (base 3) in base 8?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 65 - 71. Suppose w*a + 942 = 8*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.88 + 115.12. Let f = -120 + l. What is the nearest to 0.1 in f, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3292*i - 57516 = 251932 for i.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*x**2 - 3*x**2 - 2*x**3 + 4*x**3 - 4*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4938594 centuries?\nAnswer: 49.38594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98\/45 + -16\/9. Let i = -4.5 - -0.5. Let d be (-9)\/(-12) + (-1)\/1. What is the nearest to d in c, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/3 + 7*z**2\/2 - z. Let h = 4 + 4. Let q = 3 - h. Let a(l) = -l - 3. What is q*a(p) - 2*s(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/(z\/(z\/(z\/z**10))*z))**(-33\/2)*((z\/z**1)**(1\/22))**(-41) assuming z is positive.\nAnswer: z**(-627\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = 90*c - 1040*c + 52364 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12856566 or 12856593?\nAnswer: 12856593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1498615, -1498618, -1498621, -1498624, -1498627?\nAnswer: -1498630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 50*k - 344. Give i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*44749341.\nAnswer: -178997364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2. Let f(m) be the second derivative of -131*m**3\/3 - 2395*m. Give k(f(d)).\nAnswer: 343220*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8750\/6)\/(-35)*(-42)\/35\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*a - 375*a + 1680 = -740*a for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*h + 2*h. Suppose -5*y + 41 + h = 0. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/27, 4 in increasing order.\nAnswer: 2\/27, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2 + (4 - 5)). Let k = 85\/342 + -1\/38. Which is the closest to -1\/4? (a) -0.05 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*o + 5*l - 16, -5*o = 5*l - 25. Let y = -126 - -129. Suppose 4*s - 9 = 4*d - 13, y = 3*d + 3*s. Which is the closest to d? (a) 5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 2, w: 7}. What is prob of picking 3 w?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7656471427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, -170, -976, -2110, -3572, -5362, -7480?\nAnswer: -9926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 2 - 3*n**2 - 5*n**3 + 183*n - 183*n to the form t + y*n**2 + r*n**3 + v*n**4 + g*n and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/4*1564\/115. Is (-186630)\/a - (-130)\/(-1105) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1668780821 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + 1340*p - 13316. Determine s(10).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84271 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1857*k - 575*k - 613*k - 654*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061642.\nAnswer: 2, 557, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130121303123 - -10?\nAnswer: 130121303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 - 5*l + 7. Give v(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 1 + 1 + (-2*z**3 + 3*z**3 - 2*z**3)*(-3*z - 4*z + 5*z) - 2*z + 2*z + 2*z**4 + (2*z**2 - 1 + 1)*(0*z**2 - z**2 - z**2) - 19*z**4 + 9 - 9.\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - (-66)\/10. Suppose g + 9 = 5*r, 0 = 5*g - 3*r - t - 14. Suppose 4*c = 4*u - 12, -3*u + c + 0*c = -3. Solve -w - 3 + g = u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15894a9 + 2?\nAnswer: 1589500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + h**5 + h**5 + (-109*h**4 + 26*h**4 + 475 - 477)*(-2*h - 3*h + 2*h).\nAnswer: 250*h**5 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * -437\nAnswer: -2010.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:01 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/(-4) + -4. Let i = -109 - -109. Let f = -9 - -6. Sort b, i, f in decreasing order.\nAnswer: i, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 11. Suppose 2 - 5 = -z. Let r(y) = y + 4. Determine z*d(s) + 8*r(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -54, -3, 39, -2\/3 in increasing order.\nAnswer: -54, -3, -2\/3, -0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4203 and 3203153.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 7*y**3\/3 - 20*y**2\/3 - 4*y\/3.\nAnswer: y*(y - 2)*(y + 1)*(9*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6699*p - 25*p**3 + 26758*p - 6684*p - 6688*p - 6687*p.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 114. Let m = b + 40. Let h = -7 - m. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + -4*sqrt(11)))**2.\nAnswer: -512*sqrt(11) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/6))**(-4\/9)\/(i**(1\/6)\/(i*(i*(i**(-3\/4)*i)\/i)\/i)))**(1\/12) assuming i is positive.\nAnswer: i**(1\/1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = 5*w - 0*i + 4*i + 136, -11 = w - 5*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86403533 is divided by 335.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-112)\/147 - (-36)\/(-63))*(-6)\/(-2). Sort y, 0, 25, 1, -48 in increasing order.\nAnswer: -48, y, 0, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-2))\/1*9\/1. Let o(j) = j**2 - 6*j - 23. Let r be o(n). Suppose -2*w = 4*i - 330 - 10, 0 = -4*i + r*w + 340. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5, -2*u + 5*u - 28 = -l. Let f be (-6)\/10 - 110\/l. Let t be -5*1*f\/25. Let x(a) = -7*a - 1. Give x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85159 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 15, -2, -7, -16 in descending order.\nAnswer: 15, 3, -2, -7, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0 (c) 9 (d) 10 (e) 1.471 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-9)*-9)\/2. Are 5 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*a**5 - 36789*a**3 - 127720096*a?\nAnswer: 2720*a**3 - 220734*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + 6*sqrt(960) + -4*sqrt(1215))\/(-3*-2*sqrt(12)\/sqrt(4)*-3).\nAnswer: -13*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -1.8 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52934359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + -5 - 4 - -59. Let l = -57 + y. Let f(d) = -d + 2. What is f(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2146430 divided by -2.\nAnswer: 1073215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65304 and 5523.\nAnswer: 120224664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -8*t - 12. Let u be -2 + 12\/(2\/1). Let h = u - t. Solve 5*s = -4*j + s + 16, 4*j - 3*s - 16 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-14 - 30 - -67)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 244 (b) -1\/2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrorr. What is prob of picking 3 r?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27038 + -2162999\/80. Calculate the common denominator of u and -103\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18*-15*3\/6. Let s be ((-4)\/(-3))\/(((-10)\/z)\/1). Let p(o) = -o**2 + 18*o + 18. What is the tens digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -11*h**5\/10 - 13*h**2\/2 + 8*h. Let y(t) = -43*t**3 - 27. Let p(s) = 7*m(s) - 4*y(s). Differentiate p(k) wrt k.\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -z + 8, 13 = 4*b - 4*z - 15. Suppose -80*a + 75*a = -125. Solve 0 = -b*y + 2*k - a, 3*y = 3*k - 20 - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638868\/85 + (-12)\/15?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8602*o**5*t + 4*o**2*t + 2*o**2 + o - 151*t wrt o.\nAnswer: 516120*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 + -201. Let y(c) = c**3 - c**2 + 1. Let a be y(-1). Put a, -2\/9, 5, u in descending order.\nAnswer: 5, u, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27574\/5 - -5515. Let g(h) be the second derivative of 0*h**2 + 0 + 8*h - b*h**5 + 1\/3*h**4 + 4\/3*h**3. Factor g(w).\nAnswer: -4*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + s**3 - 6*s**3 + (-3*s**2 + 9*s**2 + 7*s**2)*(-3*s + 2*s + 2*s) - s + 2*s + 2*s**3 - 5*s**3.\nAnswer: 7*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14623 + 14627. Factor 10\/11*h**2 + 8\/11*h**3 + 0 + 4\/11*h + 2\/11*h**u.\nAnswer: 2*h*(h + 1)**2*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 67, 57, 43, 25, 3, -23?\n\"Answer: -2*c**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33442550 - -2?\nAnswer: -33442544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**3\/8 - 121777*v**2\/8 + 6812395*v\/4 - 678804 = 0. Calculate v.\nAnswer: 2\/5, 112, 24243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**2 + 5*v**6 - 12*v**6 + 8*v**2 wrt v?\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 = -20. Solve 0 = -3*x - z - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*d - 37 + 25, 3*t = 2*d + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1876.\nAnswer: 20636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90\/2418541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/840 and -67\/1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + 9?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 10*y = 4*i + 12, 3*y + 11 = -2*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = -4*v + 17, 10 = 4*u + 5*v. Suppose -u*r = 0, 3*s + r - 1167 = 1476. Suppose -10*t + s = 11. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/(-48)*2*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545911*d**3 + 1 - 2023480*d**3 - 1.\nAnswer: -1477569*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**6\/30 - b**5\/5 + b**4\/2 - 2*b**3\/3 + b**2\/2 + 2*b - 1. Let f(d) be the first derivative of s(d). Factor f(r).\nAnswer: (r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*k + 8, 0 = 4*p + 4*k + 8. Suppose -323*w + 319*w + 112 = p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 1, k: 1, w: 2, l: 1, m: 1}. Give prob of sequence wl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 13383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/16 - (-10)\/4. Suppose 0 = -5*w + j*h + 3*h + 35, -2*w = 3*h + 1. Solve -3*c + 6*i - 5 = w*i, 0 = c - 5*i - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2497*n + 1294. What are the prime factors of s(9)?\nAnswer: 23767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z + 4. Let l(h) = 14*h + 5. Let u be ((-215)\/172)\/((-1)\/(-4)). Calculate u*r(n) + 4*l(n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 2*x, -5*r - 22 = -4*x - 3*r. Suppose -49 = -x*u - 10. Which is bigger: u or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/2 and 2.4783 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49729.5 micrograms?\nAnswer: 49729500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 17*w + 13. Give n(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18))**2 + 1.\nAnswer: 6*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let q(x) = -41*x + 10. Let y(f) = -22*f + 4. Let p(l) = -2*q(l) + 5*y(l). Determine p(z(b)).\nAnswer: -56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 309950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -379.1 and 8.477564.\nAnswer: -370.622436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 13*u - 30. Let o be j(-3). Let s(y) = y**3 + 2*y**2 + 0*y - y - 3*y**2 - 5. What is s(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80909 is divided by 416.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 14*c**2 - 44*c + 49. Let s = 126 + -109. Let f be w(s). What is the highest common divisor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let a(n) = 2*n**2 - 7*n + 4. Let r be a(u). Let s = r - 0. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeeeeoeeo. What is prob of picking 1 e and 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32276, -64518, -96758, -128996, -161232, -193466?\n\"Answer: v**2 - 32245*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191824 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 2. Let t(c) = -c**3 + 2*c**2 + c + 6. Is t(h) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (75\/5)\/3. Solve 5 = 2*i + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.837112ms in minutes?\nAnswer: 0.0002472852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/1363 (c) -1\/4 (d) -1163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -446?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3688.166ml?\nAnswer: 3.688166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*y = -34 + 1, -2*p - y = -6. Suppose p*m + 12 = 2. Calculate the lowest common multiple of 5 and m\/5 + (-102)\/(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0722526 to four decimal places.\nAnswer: -0.0723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.63784262 to 4 decimal places.\nAnswer: 1.6378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1755, -1111 in decreasing order.\nAnswer: 1755, 3, -1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003338464 to 7 decimal places.\nAnswer: 0.0003338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1008) + -4 + sqrt(1008) + -2*sqrt(1008) - sqrt(1008)) + sqrt(1008))*2)**2 + (2*sqrt(77)\/(sqrt(1100)*-2))**2*4.\nAnswer: 14407\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039361378 rounded to five dps?\nAnswer: -0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119132 is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b**(-1\/8))*b\/(b*b\/(b*b**3*b)*b)*b*b**(-2\/7)*b**(-2\/11) assuming b is positive.\nAnswer: b**(1637\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j - 8. Let s = -168.6 + 169. What is the second biggest value in s, -4, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 not equal to 28\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 221*z**2 - 54*z + 61. Suppose -5*v - 7 = -187. What is the lowest common multiple of g(-55) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164446?\nAnswer: 2, 82223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202848?\nAnswer: 2, 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/3 + 220*q\/3 = 0.\nAnswer: 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 j when three letters picked without replacement from jyyyyyj?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 38*p - 1176. Suppose 0 = -2*q + p + 63. Is q less than or equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*x - 1400 = -183*x. Let q(w) be the first derivative of 11\/2*w**x + 36*w + 19 + 0*w**2 + 0*w**3. What is the first derivative of q(l) wrt l?\nAnswer: 66*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 10:28 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, -0.5, 22, 1\/7, 0.4 in descending order.\nAnswer: 280, 22, 0.4, 1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 20 - 23 + 4*x to the form h + v*x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwggeaqqgqgggwwa. Give prob of picking 1 a and 2 g.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (10 - 14) + (3 - (0 - -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 672\/20999 + -2\/253. Let x = s - -67\/664. Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -8) + (-15)\/3. Let i be (-2)\/4*(6 - 1). Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*s - 3*m = 152*s + 105, -m - 35 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 166457541079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 + 20*y**4 - 48*y**3 + 4*y**2 + 46*y - 24.\nAnswer: 2*(y - 1)**3*(y + 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.746 and -3.29611.\nAnswer: 2.45889806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/36*3*1450\/(-30) and -29\/238.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.54. Let y = x - 9.04. Let o = y - -1.9. What is o rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4378 by -28.\nAnswer: -2189\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/31 + -3809\/310. Let o = 93599\/12978 - -2\/927. Find the common denominator of o and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2) + 6\/(-6). Let t be (12\/(-18))\/((-1)\/z). Let g = 10 + t. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/170 and 50\/77.\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4386)\/(-68))\/(186\/(-4)) and 20\/651.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5 + 2000296*d**4 - 82007172*d**3 + 880059680*d**2 - 800052800*d = 0.\nAnswer: 0, 1, 20, 500033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 1.2. Let g = z - -0.44. What is g rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5603*a = -5609*a - 54 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10129.\nAnswer: 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 24*g - 1260 = 0. Let d = 192 + g. Calculate the remainder when 34*(-2)\/(-4) + 2 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13246\/69 - 192. Which is the closest to -0.1? (a) g (b) 2\/5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 8*a)*(3 + 2 - 3) + (2*a + 2*a - 2*a)*(11 - 1 + 4).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 96*o**2 + 6480*o.\nAnswer: -4*o*(o - 54)*(o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2713 is divided by 439?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 + 13 = 0. Let v(i) = 7*i - 11. Let l be v(5). Suppose -3*y - 2*y = 2*r - l, r = 2. Solve -y*p - b = -26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4104422 (base 5) to base 15\nAnswer: -1495c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-17 + 9*s - 14*s + 15).\nAnswer: 15*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 311342. Let n(w) = -w**2 - 299. Calculate n(m(s)).\nAnswer: -s**2 - 622684*s - 96933841263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212202220120 - -20?\nAnswer: -212202220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1709080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 14*q**2 + 3*q**2 - 3 + 15*q + 29*q - 4*q**2.\nAnswer: 13*q**2 + 47*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4865, -4858, -4847, -4832, -4813, -4790, -4763?\nAnswer: -4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1715) - sqrt(1715)*-2)*5)\/((6*sqrt(180)\/sqrt(3))\/(sqrt(432)*-2))*5.\nAnswer: -5250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -502, -545, -592, -643, -698, -757, -820?\n\"Answer: -2*i**2 - 37*i - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5, 228*c - 4*j = 233*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 6 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*i**2 - 1 + 35*i**2 + 6 + 10 as n*i**2 + o + l*i and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*y = -16, 3*s = -y - 3*y + 20. Which is smaller: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/15 and 553\/(-210) + (-3)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*w + 7774*k**2 - 59*k*w**3 - 5637686*w**3 wrt k?\nAnswer: 4*k*w + 15548*k - 59*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 45. Let b(n) = 5*n + 3*n + 1 - 10*n. Let x be b(-6). What is the highest common factor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8818 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 12*m + 11. Is g(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - p + 2 = -0, 12 = 4*t + p. Let n(g) = 15499*g**2 + 2*g. Let m be n(t). Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10540511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 - 0.2. Let f = 0.13 + h. What is the third biggest value in 4, -1\/10, f?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26712217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (3 + (-2373)\/(-15)). Let a = m + 165. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -230*m**3 + 8*m - 7. Let a(d) = -460*d**3 + 16*d - 14. Let w(q) = -4*a(q) + 7*v(q). What is the second derivative of w(i) wrt i?\nAnswer: 1380*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 9.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = l + 53 - 54, -5*l - 5*g = -5. Which is smaller: l or -1\/1065?\nAnswer: -1\/1065","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1722 and 6?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**6 - 11*z**3 + 9*z**2 + 11. Let i(b) = -2*b**6 + 4*b**3 - 3*b**2 - 4. Let y(q) = 4*d(q) + 11*i(q). Find the third derivative of y(n) wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 - 32*k + 8. Give h(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 - 482. Let l = 147.00000059 + a. What is l rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(k**4 + 0*k**4 + 3*k**4 + (-14*k**3 - 3*k + 3*k)*(0*k - 5*k + 3*k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/(22\/(-24))*2 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 70?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*m*p**4 - 4*m*p**3 - 122*m with respect to p.\nAnswer: -124*m*p**3 - 12*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127, 205, 163, 1, -281, -683?\n\"Answer: -60*l**2 + 258*l - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28535 + 81043 = -5218*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-4)\/(-6)*-2. Let m = 5 + t. Let z(n) = -2*n**2 - n. Let r be z(-1). Sort m, r, 0.\nAnswer: m, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -144. Solve 2*r = 4*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k - 46 = -21, -3*f + 5 = 2*k. Let y be (-22)\/(-5) + (-2)\/f. Suppose -y*g + 0 + 28 = 0. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 988020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -179*i**2 - i. Let x(z) = 273*z. What is d(x(t))?\nAnswer: -13340691*t**2 - 273*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216*y - 7*y**2 + 5 - 1216*y.\nAnswer: -7*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*i + 2*f + 3*f, i + 5*f + 17 = 0. Suppose i*d + 16 = 22. Suppose 0 = -d*r + 59 + 19. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(1\/(-28)). Let n = 20 - h. 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: Let t(f) = 122*f + 2. Let b(q) = -364*q - 8. Let s(o) = 4*b(o) + 11*t(o). List the prime factors of s(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c78b - -8b?\nAnswer: 4c849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijpuimiximuim. Give prob of picking 2 i, 1 x, and 1 j.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -172 = 151.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 9)*(-1122)\/(-12). What is the highest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6101*q**2 + 3655 wrt q.\nAnswer: -12202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-1 - -17) + (7 - -2 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x**3 + 86*x**3 - 6*x**2 + 6*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -29*h + 77 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 4. Let v be r(-21). Let c = -127 - v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -436, 85, 99 in descending order.\nAnswer: 99, 85, 2, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 = -3*a, 2*w = 4*w + 2. Let q = a + 0. Suppose f - h = -f + 21, 75 = q*f + 5*h. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 43214.\nAnswer: 129642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13.32260793*0.4\nAnswer: 5.329043172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56325001 (base 7) in base 16?\nAnswer: -4a78a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 0, 0 = h + 3*h - 4*a + 32. Sort -1, h, -3 in descending order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j + 280. Let o = j + 48. Let i be ((-4)\/o)\/((-1)\/(-2)). Sort i, -3, -4, -5.\nAnswer: -5, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6348 divided by 12\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, n: 8, z: 1, y: 1}. What is prob of picking 1 b and 1 z?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:35 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 63 = 2*o, -12 = 6*o - 10*o. Calculate the remainder when 1239 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/(-3*(-1)\/9). Suppose m - y*v + 55 = 0, -3*m + 4*m + 79 = -2*v. Let w = 121 + m. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(135\/(-4340)) - (-1)\/3. Let m = -279 - a. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d + 12*r + 160 = 76*d, -r - 44 = 4*d - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcecoaavcsvacvscvvco. What is prob of picking 1 e and 2 a?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*l**2 + 43*l**2 + 51*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d + 334*d + 40*d - 51030 + 167*d + 50985.\nAnswer: 585*d - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let l(a) = -5*a**2 + 5*a - 16. Let y(u) = u**2 + 1. Let r(v) = l(v) + 6*y(v). Let b be r(-7). Put p, b, 3 in descending order.\nAnswer: b, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53031.951 rounded to the nearest ten?\nAnswer: -53030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 = 10*s - 2284. Suppose 3*q - q = -14. Is 1800\/s - (5\/q - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 - 3 = 0. Suppose -2*q - 82*t = -86*t + 34, 2*q + 4*t + 10 = 0. Are q and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 + 3*j**5 - 7*j**5 + (j - j - 2*j**2)*(3 - 3 - j**3) + 4*j**3 - j**4 + j**5 - 4*j**3.\nAnswer: 6*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*t + 2702, -9*t - 2696 = -3*a - 10*t. Let h = 1018 - a. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1152.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187273, -370849, -554425, -738001?\nAnswer: -921577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 4*n - 5*n**2 + 5\/2*n**4 - 4\/3*n**3 - 1. Factor u(r).\nAnswer: 2*(r - 1)*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**2 + 6*q**2 - 7*q + 2*q**2 wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542659 = -11*v + 455668. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3856 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/((-1)\/(-3)). Let n = 34 - 32. What is the third derivative of 0*q**3 + 3*q**2 + q**n + q**3 - 2*q**s wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let f be k(-1). Suppose -4*a + 5 = -3*g, -7 = -2*a - 0*g + 3*g. Let s be (-3 + 2\/(-2))*a. Sort f, s, 3 in descending order.\nAnswer: s, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 6. Let a be w(5). Let r(u) = u + 1. Let m(g) = 5*g**2 + 9*g + 9. Let d(k) = 2*m(k) - 18*r(k). What is d(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*x + 0*x - 40 = 0, 0 = 4*l - 3*x + 59. Let d = l + 39. Solve 0*i + 3*i + 1 = -2*g, -d = 5*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -22.1. Let o = -0.9 + s. What is the third biggest value in o, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*a**2*i**2 - 1609*a**2 + 2*a*i**2 - 2*i**2 - 156*i wrt i?\nAnswer: 26*a**2*i + 4*a*i - 4*i - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(-330)\/(80\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and -20018.\nAnswer: 900810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose 5 = -x*u - 0*u - 5*v, -2*u - 3*v + 5 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5256.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*a + 31*a - 3 + 5*a)*(50*a + 2413 - 2413).\nAnswer: 650*a**2 - 150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -182.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34306*a*j + 888116*j wrt a.\nAnswer: 34306*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from {y: 6, o: 4, s: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytyymmy. Give prob of picking 1 t and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 121369051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 - 5 - 7) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/24)\/((-63)\/42).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -2*q - 4*k + 8*k + 124, 7*k - 8 = -22 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q)**28\/(q**2*q**11) assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/281760 and 139\/41090.\nAnswer: 1972320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 160.36. Let v = -0.36 - d. What is the biggest value in -0.05, v, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 2*-4)*12\/(-30). Let a be (-156)\/234*((-15)\/y)\/(-1). Solve 2*b - 4 = -a*n + 3*n, -3*n = 2*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - -6)*(-10)\/20. Let o(f) be the first derivative of 0*f + c*f**2 + 1 - 3\/4*f**4 + f**3. Factor o(l).\nAnswer: -3*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 62 - 37 - (11 - -83 - 6)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 2. Let b be n(8). Suppose 5*q + 2*r - 80 = 7*r, 36 = 2*q - 3*r. Let g(s) = 2 - s**2 + 11*s + q*s + 0 - 17*s. Calculate g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*g + 67*g + 67*g + 60*g**2 - 202*g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 930*j - 1867. Determine k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377941 to the power of 1\/2, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/131 in 0, -3.5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(2*b - 5*b + 2*b)*(-3*b**3 - 4*b**2 + 4*b**2) - 150*b - 15*b**4 + 150*b.\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*t**4 + 11*t + 2*t**2 + 24*t**4 + 0*t - 4 + 6 to the form p*t + a + j*t**2 + f*t**4 + c*t**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516894 = -240*y + 333*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13472*p**2. Let b(l) = 6*l**2. What is q(b(r))?\nAnswer: -484992*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)\/(5\/((-15)\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -6.81.\nAnswer: 163.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o\/o**(1\/2)))\/o*o))\/(o*o*(o\/(o*o**(1\/19))*o)\/o)*((o*o**0)\/o)**(2\/83) assuming o is positive.\nAnswer: o**(-17\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 92.7 (b) 0 (c) 2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b + 402. Determine n(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -409620000 rounded to the nearest one million?\nAnswer: -410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3602 is divided by 2601.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 59. Suppose -3*a + u*a = 450. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*s = -8, -3*s - 5 = -4*n + 5. Let q be (3 - -11)\/(-14) + n + 3. Find z such that 0 - 4\/3*z + 20\/3*z**2 - 12*z**4 - 4*z**q = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 9\/7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (51\/68)\/((-2)\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccicic. Give prob of picking 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50268096 is divided by 28368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 4, s: 1, w: 1, r: 2, b: 2}. What is prob of sequence iis?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.04 + 0.04. Let j(t) = t**2 - 3*t + 1. Let l be j(1). Let d be (10\/20)\/(l\/(0 - 1)). Which is the third biggest value? (a) r (b) 0.01 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19500.15183 - 19500. Round f to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.18579 times 0.0989\nAnswer: 0.117274631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 35, -10, -73, -154, -253, -370?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(21)\/sqrt(3))**2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/4)\/(2\/(-4)). Let h be q - -3*4\/6. What is the common denominator of -39\/5 and h\/6 - (-131)\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 10. Suppose n*w - 8 - 4 = 0. Let b(r) = 10*r - 15. Is 26 a factor of b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39776.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 14. Let i(y) = -y + 22. Let t(l) = l**2 - 11*l + 21. Let w be t(8). Let b be (-4)\/3 + -1 + (-73)\/w. Let a be i(b). Give z(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*k - 6404 - 39916 = -38*k + 323*k for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2907)\/(-102) + -32 + (-161)\/98.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:52 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 612*q**2. Let g(i) = 6*i**2. Calculate t(g(b)).\nAnswer: 22032*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/117)\/((-1)\/((-6)\/(-6))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -110, -160, -208, -254, -298?\n\"Answer: n**2 - 55*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(33\/3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 3.6\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3566 + 4527. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(15\/(-12)))\/(6\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313 is divided by 860.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 594 = -12*u. Calculate the smallest common multiple of u and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -403.\nAnswer: 28\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 190*i - 400 = 0.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - -3. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Suppose -16 - 39 = 5*i. Let w = 16 + i. Let k(s) = -2*s + w*s - 2*s. What is u(k(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 726 = 101*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 - 3. Let n = -46216 - -46216.3. What is the closest to j in -66, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15862 - 8*y - 4*y - 7*y - 10*y.\nAnswer: -29*y + 15862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 55 - 15. Let b be (-1 - 5)*140\/(-210). Solve -3*u = s*x - 7, -2*x + b*x + 2*u = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5*q**3 - 11 - 3*q**3.\nAnswer: 2*q**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 5. Let w be n(-8). Let o(y) = y - 7. Let q = 4 + -11. Let u(l) = 5. Let c(a) = -1. Let h(j) = -12*c(j) - 3*u(j). Give q*h(f) + w*o(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 + (-86)\/430. Suppose -13*g + 3*g + 8870 = r. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.007.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n**2 + 2*n - 2*n)*(n - 3*n + 4*n)*(2*n - 2*n + 17*n) in the form t + c*n**4 + v*n + f*n**3 + g*n**2 and give c.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 14, 18, 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/2 - h**3 - 19*h**2\/2 + 10*h.\nAnswer: h*(h - 5)*(h - 1)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*x = 3*x + 72, -3*x - 31 = -2*k. Suppose 0 = 3*y - 4*l - 119, -6*y + 10*y - 3*l = 147. What is the remainder when y is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 12. Let d be g(-6). What are the prime factors of d\/(-15)*(-7)\/(63\/750)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10833934?\nAnswer: 2, 59, 91813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305720.\nAnswer: 2, 5, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -45?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(-82)*(-8)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g + 72. Let f be i(9). Calculate the highest common divisor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose 0 = -4*y + 25 - 5. Solve -i = -0*s + j*s, 14 = -y*i - 3*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/644*(-17)\/(51\/(-16))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*r = 3*k - 562*r + 7, -5*r = 4*k - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 2118485*k\/2 - 33895248.\nAnswer: -(k + 32)*(k + 2118453)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w + 3. Suppose 0*k - 4*k + 28 = 0. Suppose f - 7 + 3 = 0. Let p = k - f. Calculate b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792, 2276, 4752, 8220, 12680, 18132, 24576?\nAnswer: 32012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*r + 1426*r + 233*r - 370*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/53 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3 - 27. Let h = -11169 - -11215. What is the smallest common multiple of h and w?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Suppose -63 = -l*t + 233. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2289870 and 163\/48114?\nAnswer: 61826490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 10*i**2 + 15*i - 15. Let x be s(6). Let b = -8 + x. What is the fourth smallest value in b, 1\/2, 0.12, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rro when three letters picked without replacement from woorrooowwwro?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24274\/3 + 8184. Let t = d + -93. Sort 0.11, t, -2, 0.5 in decreasing order.\nAnswer: 0.5, 0.11, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j - 4 = 0. Let g = j + 2. Suppose g*h + 15 = 2*p, -10 = -5*p + 4*p + 2*h. Solve -3*x - 2*x + 20 = p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + ((-4*3*sqrt(156))\/sqrt(12))**2*-4*-3).\nAnswer: -67407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 234, 952, 2148, 3822?\n\"Answer: 239*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 172.6. Which is the nearest to -28? (a) t (b) -0.2 (c) 3\/8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103201\/(-805) - 18) + 161?\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 5)*(2 - 2 - 2*g) + 21*g - 14*g - 8*g - 2*g + 0*g + 0*g to b + u*g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t, 0 = 5*z - 10*t + 7*t + 1387. Let a = -272 - z. Solve 5*v - a*s + 7 + 10 = 0, 5*s = 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6)*0\/8. Put 11\/7, y, 1 in descending order.\nAnswer: 11\/7, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -151, -267, -433, -661, -963, -1351?\n\"Answer: -2*o**3 - 7*o**2 - 43*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -21*h**4 - 3*h**3\/2 + 588*h**2 + 1050*h + 72 = 0?\nAnswer: -4, -2, -1\/14, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -22. Let k = f - -6.48. Round k to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418493 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 158.775?\nAnswer: -157.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -786 + 810. Calculate the remainder when 90 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 3.5, -2\/27, -2 in decreasing order.\nAnswer: 3.5, 0.1, -2\/27, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:38 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 8*g - 7. Let q be 8 + -4 - (-2 - -15). Let s be f(q). Suppose 4*i = -3*r + 1645, 0 = 2*i + r - s*r - 815. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - 12423\/(-230). Let q = -2971\/2 - -1431. Let l = q + b. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -30, -1, 1, 10, 5 in descending order.\nAnswer: 10, 8, 5, 1, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-125))\/(-2 + 10 + -4 + 12040\/(-3000))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*z + 439*z - 838*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v. Let x = v - -4. Suppose -b + 153 = -0*b - 4*q, 3*b = -x*q + 523. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -15, -51, -89, -117, -123?\n\"Answer: 2*f**3 - 19*f**2 + 21*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6144 = -6*z + 8*z. Suppose -16*q + 11136 - z = 0. Is 28 a factor of -3*(-10)\/3*q\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 2\/7, -8\/3, 3322?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b. What is the closest to b in 0, 2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {g: 1, d: 8, j: 1, p: 2, y: 1, a: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47879 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:38 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let d be w(6). Suppose -1 = -d*x + 134. Suppose -2*o = o - x. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3839 and 39170713.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -i - 4, -11*i + 10*i = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 4875574?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76509911 and 6434.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.074 less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d + 11*d)*(-53 + 7 + 22).\nAnswer: -168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:11 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -4, 4620, 5, -1 in ascending order.\nAnswer: -4, -1, 0, 4, 5, 4620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 4. Let w be k(4). Let p = 12 - w. Solve -10 = p*g - 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/3))\/w)**16*(w*w**14)**(-37) assuming w is positive.\nAnswer: w**(-1649\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 21 + 20 = 0, u - 2*p + 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 11:29 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:31 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1501\/123 - -2\/615. Suppose 0 = 3*g - 104 + 440. Let x = g - -803\/7. Find the common denominator of b and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 - 3*a. Let g be j(2). Let u(d) = g + 0*d**2 - 2 - 3*d**2. Let b(c) = -2*c**2 - 3*c**2 + 0*c**2 + 0*c**2. Determine b(u(x)).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q**3 - 23*q**3 - 17*q**3 - 121.\nAnswer: -q**3 - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(112)\/sqrt(4)*4 - sqrt(28)))\/sqrt(4))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + q**2. Let v be i(1). Let d be (-30)\/4 + (-2)\/4. Let o(g) = 11*g - 3. Let f(w) = 7*w - 2. Calculate d*f(c) + v*o(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 31*v + 30. Is 65 a factor of p(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g + 3 = 4*l + 38*g, 0 = -l - 2*g - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/19 and 29\/2185?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19213679.\nAnswer: 19213679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*t**3 + 1092620*h**3 + 1832631*t**4 with respect to t.\nAnswer: -3*h**3*t**2 + 7330524*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 2 - sqrt(7))**2 + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(-1 + 1 - w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2677345 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*n + 7. Suppose -10 = 2*u + 5*d, 5*u + n*d - 7 = 2*u. Solve 0 = u*k - 1 + 26 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 2, j: 1, p: 1, m: 2}. What is prob of sequence nmmj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*(s*s**(1\/4)*s*s)\/s))\/((s*s*s\/s**3*s)\/s))\/(s**(-1\/8)*s\/(s*s*(s\/s**2)\/s)))\/((s**0*s**(-1)*s*s*s)\/((s**(-2\/7)\/s)\/s**2)) assuming s is positive.\nAnswer: s**(-415\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-84)\/245*100\/160).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v - 5. Let y be m(4). Let i(o) = -13*o**3 - 4*o**2 + 3*o. Let l be i(y). Let w = 751 + l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:07 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Suppose -g*p - 422 = -5*j + 104, 2*j + 2*p = 196. Let v = j + -98. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/3 - 11512*r**4\/3 - 16356458*r**3\/3 + 604719628*r**2\/3 + 1258462592*r\/3 + 637398016\/3 = 0.\nAnswer: -2896, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -4*l + 902. What is the remainder when l is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33107903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15960*s**2 + 0*s + 0*s - 15981*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 32 - (-15 + (1 - -2 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -856\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**8*r))\/r)\/r**(-16))**38 assuming r is positive.\nAnswer: r**266","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20530 and 960?\nAnswer: 1970880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**9\/1512 - v**6\/40 + v**3 - 7*v. Let s(f) be the second derivative of d(f). Find the third derivative of s(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d + 10*d - 1176 = 265*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + 5)**2*6 + (-5 + sqrt(6)\/sqrt(2) - -2*sqrt(3)*3))*2.\nAnswer: 134*sqrt(3) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153.29 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 8, -170, -2\/19, 1\/40, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.922 + -1.\nAnswer: 12.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356352 is divided by 2060?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069426991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 562995\nAnswer: -1\/112599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-21))\/(20\/120)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 7, i: 2}. Give prob of picking 4 g.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 0.5 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 16*a - 29. Determine s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2052)*1*1)\/(((sqrt(270)*-1)\/sqrt(10))\/(sqrt(9) + sqrt(9) + sqrt(900) + 2*sqrt(900) + sqrt(900))).\nAnswer: 756*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14336958017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-135)\/(-10))\/(18\/1044) and 232.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2320394 and 158441.\nAnswer: 5111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 374 - 151. Let g(a) = 20*a**2 - a. What is the remainder when w is divided by g(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25357 - 71357. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4143, -8852, -14261, -20364, -27155, -34628, -42777?\nAnswer: -51596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**3 - 437*l**2 - 7596*l?\nAnswer: -36*l - 874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 0. Let b(p) be the second derivative of -p**3\/3 - 54*p. Let r be b(m). Let w(y) = y + 12. What is w(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*j - 3*l, 6*l = 2*j + l - 54. Let c be j\/(-5) + (-3)\/5. Let h = 29 + c. Calculate the remainder when h is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u. Let c(n) = 16*n**3 - n**2 + 2*n - 3. Let q(p) = -3*c(p) - 6*z(p). What is the third derivative of q(i) wrt i?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 43 - 6 = 5*n, -n = 5*v + 31 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b03 + -2?\nAnswer: -1b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14. What is the closest to l in 5, 0.05, 2\/11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9732 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 42. Let m(z) = 96*z. What is i(m(o))?\nAnswer: -96*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b**2 - 5446 + 2740 + 2710.\nAnswer: 81*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7148226 divided by -1?\nAnswer: 7148226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 634, 590, 536?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-130)*4*1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/6, -2\/93, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1)\/(-4)*(-4534 + 14)*2. Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120113313 (base 4) in base 14?\nAnswer: -2854b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27253789 to four dps.\nAnswer: 0.2725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100367, -200568, -300783, -401018, -501279, -601572?\nAnswer: -701903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -337.09689*-0.02\nAnswer: 6.7419378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 365 divided by -365\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 8 + 2. Suppose -10 = -u*h - 2. Let f be -9 - -5 - ((-27)\/15 + -2). Put -4, h, f in decreasing order.\nAnswer: h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133083111094.84 - 1.\nAnswer: 133083111093.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 3327 = -16752. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 294, 662, 1166, 1800, 2558?\nAnswer: 3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -3.8. Let v(x) = x + 9. Let h be v(-4). Let j = -552.81 + 553. Which is the second biggest value? (a) i (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hithhathihhphhkpthh. Give prob of sequence ih.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 2. Suppose 70*j - 13 + 293 = 0. Let q(k) = 1. What is j*q(f) + 2*l(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:32 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/5 - 96*t**4\/5 + 1596*t**3\/5 - 10112*t**2\/5 + 3162*t - 1440 = 0. What is t?\nAnswer: 1, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69198046875*f**3 - 10794893490000*f**2 + 284309988*f - 1872 = 0. Calculate f.\nAnswer: -156, 2\/151875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 - 221. Let o be (1 + 1)*1\/9. Is k != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u + 76 = -53*u + 5*x, 4*u - 48 = 2*x. What is the third smallest value in u, -53\/3, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/143260 and 21\/260?\nAnswer: 143260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/1*((-30400)\/(-1350))\/(-152).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 1 = -n - 2*n - 94, -18*x - 21 = -4*n - 79 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 375*x**4 - 335*x**3 - 70*x**2 + 20*x + 10. Let v(t) = -t**4 + t**3 + t**2 - t. Let d(r) = -u(r) + 25*v(r). Let d(q) = 0. Calculate q.\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0471 and 0.9.\nAnswer: 0.04239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 0.2.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 - 139*s - 6. What is n(8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/3 (b) -2 (c) 5 (d) 1\/154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 + 2*r + 1. Let v be w(-1). Calculate the remainder when 35 is divided by v\/(-7) - 176\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267346 divided by -6.\nAnswer: -133673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 24895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 645? (a) -4 (b) 4\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 10 = y + 2*c, 5*c = y - 22. Let l = 15 + -9. Let o = 7 - l. Solve -3*n - 25 = -4*k, -y*n + 9 + o = 4*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (3 - (68 - 4)). Let f = a + -62. Let c(j) = -j + 3. What is c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Suppose 1 = -c + 4. Suppose 6 = c*s - 2*d - 0, -2*d = -s + 2. Let a(k) = -k + k - s*k. Give l(a(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*j + 24. Let a be (-16)\/j - 1\/3. Let s(m) = 6*m**2 - 2*m + 1. Calculate s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1601*r - 1576*r = -5*w + 420, 2*r - w - 39 = 4*w for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -16.5. Let d = 21 - 18.5. Let z = d - r. What is the nearest to -0.3 in z, 0.4, -4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10, x - 4*x - 4*f = -77. Let a = x + -28. Let y be (-47)\/a + 10\/(-25). Calculate the highest common divisor of y and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*y**5 - 214*y**2 - 2?\nAnswer: -14760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13510250 (base 6) to base 2.\nAnswer: -1110000010110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.42 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 3 (b) 6 (c) -13 (d) -1\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 1. Let a be x(2). Let y be (-28 + 16 + 19)*(-8)\/(-14). Solve y*v = -u - 25, a*u + 20 = 2*v - 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 286416762*n + 4 - 286416762*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, o: 3, c: 3, u: 2}. What is prob of sequence uxo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4808714*i - 4808714*i - 3539*i**2 - 497*i**2.\nAnswer: -4036*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/588 and -76\/27.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*j + 4*j + 22*j as b + w*j and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**3 - v + 73*v**4 - 4*v**3 - 74*v**4 to s*v**4 + l + r*v**2 + p*v + i*v**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 133393.826 + -5.175\nAnswer: 133388.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 6) + 62*13\/130. Let t be (-2)\/(-4)*(-30)\/(-25). Suppose -9\/5*y - t - i*y**2 = 0. What is y?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.500831mm to meters.\nAnswer: 0.003500831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 3, g: 12, r: 2, e: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/2)*h\/(h*h**(2\/17)\/h*h)*(h**(4\/7)*h)**(-1\/35) assuming h is positive.\nAnswer: h**(2811\/8330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 8*d**2 - 2*d - 6*d**3.\nAnswer: -6*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n = -17*n - 280. Suppose -3*x - t + 39 = n, -20 = -4*t. Solve 6*j - x = 10*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16735.81 litres in millilitres?\nAnswer: 16735810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 2*z, 0*o - 4*o + 2 = z. Let w = 4 + z. Calculate the lowest common multiple of 4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p**6 + 0*p + 0*p**5 - 1\/21*p**7 + 0 + 5*p**2 + 0*p**4 - 7\/6*p**3. What is the derivative of s(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 94.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llslss. What is prob of picking 2 l and 1 s?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0906 in 1\/10, -7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyxxyyyxyxwffxyff. Give prob of sequence wx.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 4*n. Let m(u) = -44*u + 56. Let k(s) = 132*s - 176. Let i(p) = 7*k(p) + 22*m(p). Determine i(h(x)).\nAnswer: -264*x**2 + 176*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -19, -47, -75?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -20, -46, -80?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((20 + 13 - -6) + -11)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -16, -2, -271?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.05 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 3\/12251, -1, -5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1880307 and 99.\nAnswer: 1880307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.9 + 0.006161.\nAnswer: -72.893839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + o + 1. Let l(m) = -2*m**3 - 12*m**2 - 12*m - 7. Let s(x) = l(x) - y(x). Let g be s(-8). Round g to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599830, 599791, 599750, 599707, 599662, 599615, 599566?\nAnswer: 599515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.316523 - -0.140247385.\nAnswer: -0.176275615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20340 and 2934?\nAnswer: 3315420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.86348 and 4.\nAnswer: 99.45392","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 48*g + 1. Let i(y) = 505*y**2. What is s(i(f))?\nAnswer: 24240*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5 + r + 4*r - r - r**2. Let b be i(4). Suppose -2*v + 3*f = -67, b*v - 3*v - 2*f = 64. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 8. What is the units digit of z(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429825869\/630 - -682263. Calculate the common denominator of i and 131\/150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2706 + -2706.1. Which is the nearest to -2\/5? (a) 3\/4 (b) j (c) 1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 + 3 = 0. Suppose 49*q - 44 = 38*q. Differentiate -10*p**4 - 3 + r*p**q + 0 wrt p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -250, -254, -258, -262, -266?\n\"Answer: -4*z - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3328) + sqrt(3328))\/(sqrt(320)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f. Let c = 1 + f. Let h = c - 0. Sort 3, 4, h in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.0558 + -180.0418. Let s = -167 - h. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -8*i + 173 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 100*w + 3*w**2 + 33 + 3.\nAnswer: -w**2 - 100*w + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 4*f + 4*f - 11*f)*(9 + 0 + 9).\nAnswer: 54*f**4 - 198*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12590223467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 c when four letters picked without replacement from qaqqc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 34. Suppose 106*b - 6*b - 15500 = 0. What is the highest common divisor of b and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421655039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137.3194 rounded to the nearest integer?\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 4*r, 2*r + 0*r + 15 = 3*f. What is the second derivative of -y**5 - y - 2*y**5 + r*y wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 12*l + 33. Let t be n(9). Suppose -t*j = -4*j - 82. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983 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: Calculate the remainder when 82 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**2*y**4 + 53*u**2*y**2 - 3071*u**2*y - u**2 - 3*u*y - 10*y**2 - 3*y wrt y.\nAnswer: 36*u**2*y**2 + 106*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 1. Let a = 25 + -29. Let y be x(a). Suppose 4*u - o = 2, -3*u + 1 = -o - 0. Sort y, -3, u in decreasing order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*w**2 + 67*w - 67*w)*(-3*w + 2 - 2) + w**3 + 3*w**3 - 9*w**3 + 2*w**3 - 4 + 4 as h*w**2 + i + o*w**3 + l*w and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*c - 1663 - 225. Let w be (-1 - (-96)\/104)*c. Factor -w*k - 32\/13 - 2\/13*k**2.\nAnswer: -2*(k + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 442.055 decades?\nAnswer: 44.2055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 + 434. Let b = x - 154. Solve 5 = 4*g - b*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 35*x - 2183. What is m(43)?\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*k = -294*k + 80*k - 8450 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*s + 44 = -209*s + 103*s - 8, 5*s = -4*h - 22 - 58 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16138 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvth when four letters picked without replacement from {v: 1, h: 1, t: 6, d: 3, r: 3, q: 6}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39610934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsstvtt. Give prob of picking 1 v and 2 s.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1269750 and 131\/49950.\nAnswer: 422826750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 28*b**2 - 8*b. Let a(m) = 3*m. What is a(r(o))?\nAnswer: 84*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, b: 1}. Give prob of picking 3 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 12 + 12. Let g be r\/(-72) + (-110)\/(-12). Calculate the highest common divisor of g and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 5*b - 9*b - 3*b.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((300\/(-2520))\/(30\/(-21)))\/((-4)\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*d = -72, 0*d + 5*d = 4*k + 122. Let x = 34 + k. Sort -22, x, -5 in increasing order.\nAnswer: -22, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {t: 2, n: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.257681um in kilometers?\nAnswer: 0.000000002257681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197.9 and -0.04?\nAnswer: -7.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3749.8 + 3750. What is the nearest to -0.29 in -2\/3, i, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 2 - 2*f**3 + 3*f**4 + 4*f**3 + 2 as a*f**2 + q + z*f + o*f**3 + r*f**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14 = y, -c + 2 = -2*y - 3*c. Let g be 32\/(-48) + (-29)\/(-3). Let q(h) = 5*h + 0*h - 3*h + g. Calculate q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 365?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93234033*i**2*r + 4*i - 26542*r + 13 wrt i?\nAnswer: -186468066*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -26*x**6 - 4*x**5\/5 - 466*x**3 - 1305. Find the third derivative of p(a) wrt a.\nAnswer: -9360*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -260*d + 264*d - 101, 103 = 2*d - 5*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81338526 take away -1518?\nAnswer: -81337008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.97063 millilitres to litres.\nAnswer: 0.09597063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21581966.\nAnswer: 2, 7, 89, 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 43550.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -32 (b) -3\/5 (c) 0.09 (d) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 5738.\nAnswer: 5738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1*(-10 - -1). Suppose 256*q - 42*g = 251*q - 660, -4*q - g = 9. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19885160.\nAnswer: 2, 5, 563, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 53 = 3. Suppose 0 = -9*s + 16*s - q. Find the third derivative of 6*p**5 - p**5 + 2*p**5 - 4*p**5 + 20*p**s wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 49 = 5*l, 3*l + 37 = -3*k + 10. Let s = 19 + l. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3792431 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 + 6476*k**4 - 71640*k**3 + 130576*k**2 + 286496*k - 625920 = 0.\nAnswer: -1630, -2, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wza when three letters picked without replacement from aazvawazc?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 5. Let q(j) = -1 + 1 - 1. Let y = -147 + 148. What is y*m(w) - 4*q(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1700544 and 121\/12754080.\nAnswer: 25508160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2)\/(2 - 4 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 9*j - 8. Let h(o) = 2*o**3 - 2*o - 1. Let y be h(-2). Let s = y + 6. Is 6 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, -1, 6, -1177, 7 in decreasing order.\nAnswer: 7, 6, 3, 0, -1, -3, -1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = p - 230, -354*p + 2*a + 716 = -351*p. Solve -p = -47*q + 89 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -19 - (149 + (7 - 101))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrorssosrrrsocrrrr. What is prob of sequence osor?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/30 - 6\/15. Factor r**4 + 10*r**4 - d - 37*r**2 - 19*r**4 - 15*r - 33*r**3 - r**4.\nAnswer: -(r + 1)*(r + 2)*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*u + 12, -25*u + 4*d + 28 = -29*u. Let c(m) = m**3 - m**2 + m. Let x(a) = 6*a**3 + 3*a**2 - 3*a. What is u*x(w) - 6*c(w)?\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 101.2610441?\nAnswer: 103.2610441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -5)\/(2\/6). Suppose k*t - 25 = -7. What is the highest common divisor of 48 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*n**3 - 1934*n**3 + 668*n**3 + 660*n**3.\nAnswer: 57*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 7*i + 13. Let o be a(5). Let b = 10 - 6. Solve -4*c + o*c = -b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 + 225*u**2 - 177*u - 30. Calculate the remainder when s(-57) is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 0.02. Let y = 0.31 + z. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 18*t**3 + t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 37. Let v be i(10). Is (v\/(-2) - -2)\/(1\/4826) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 rounded to the nearest 10?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.6 - -67. Let a be 7\/(-21) - 1\/(-3). Let n = a - 3. Sort -4, z, n in ascending order.\nAnswer: -4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = 15. Find the common denominator of ((-1)\/(-3))\/((-975)\/(-261) + o) and 31\/30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 7*l**2 - 3*l - 7. Determine z(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-807548.64\nAnswer: -323019.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let p(k) = -9*k + 77. Give y(p(x)).\nAnswer: -18*x + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 177*m**3 - 2*m**2 - 205*m + 207. Determine l(1).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170234 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 110551 - 3?\nAnswer: 110549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*b + 1981*b + 598 = 978*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1303*u + 1303*u - 53*u**3 + 3*u**3 - 3*u**3 + u**3 + (-2*u**2 + 3*u**2 + u**2)*(2*u + 0*u - u).\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/5 and (-6)\/32*(0 - 92\/6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1623\/115 + -71\/5. Which is the second smallest value? (a) -2\/11 (b) g (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqbj when four letters picked without replacement from {b: 2, q: 1, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4 - 247*f**3\/2 - 951*f**2 - 2477*f\/2 + 371 = 0. Calculate f.\nAnswer: -53, -7, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7917 and 1659?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -2, 2807 in descending order.\nAnswer: 2807, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let w = d - 3.5. Which is the nearest to -1? (a) w (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v - 117*v + 936 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 + 1436*n**2 + 9966*n + 8532 = 0.\nAnswer: -711, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(276\/136 + -2). Let w = -665\/13 - m. Let t = -4.7 - -0.7. Which is the third biggest value? (a) w (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/5 - 7*f**3\/6 - 3*f + 2. Let t(z) be the first derivative of p(z). What is the second derivative of t(n) wrt n?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -765\/2 + 3\/2*o**2 - 381*o.\nAnswer: 3*(o - 255)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1516245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206\/19 bigger than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20*g - 21*g + 2470 = 0. Calculate the remainder when g is divided by 1\/((-1)\/2) - (-390)\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2, -6*s = 2*l - 3*s - 1. Suppose -l*v + 7 = 25. Let d(w) = -w**3 + 4*w**2 - 10*w + 8. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133866 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3355, 3268, 3035, 2584, 1843, 740?\n\"Answer: -12*u**3 - u**2 + 3368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 4*x - 420. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41ce - -23a9?\nAnswer: -1d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 1. Let x be n(-3). Let i be 3\/2 - x\/4. Suppose i*m = -f + 37, -f = f - 3*m - 9. Calculate the highest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-28)*(-288)\/(-18)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**(-10))))\/o))**(5\/6)*(o**(2\/21))**15 assuming o is positive.\nAnswer: o**(445\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 15400?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 - 670*k**5 - 2*k**3 + k**2 + 1229 wrt k?\nAnswer: -120*k**3 - 40200*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112713103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppppppopps. What is prob of sequence os?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3762\/(-15))\/22*75. Is p >= -853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 g when three letters picked without replacement from {b: 1, t: 1, j: 3, n: 1, q: 3, g: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13837806 <= -13837741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060252212 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653 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: How many minutes are there between 7:15 AM and 5:32 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*24.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 225420742.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (1 - 5) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(70\/5))\/(4\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -290408 divided by 1?\nAnswer: -290408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 20*x**2 - 18*x - 17. Let c be j(19). Differentiate 1 + 9*l**2 + 0*l**c + 8 - 5 wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (0 - (-5 - 0)) - 5 - -16\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Suppose 0 = -4*w + u - 19. Is 0 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a - -68?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmeiebr. Give prob of sequence rb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6d - -13c74?\nAnswer: 14903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 990, 1986, 2982, 3978, 4974, 5970?\n\"Answer: 996*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 13) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, m: 1, r: 1, d: 12}. Give prob of sequence qqd.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkkk when four letters picked without replacement from ckqqlallaqqllkl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/8470219?\nAnswer: 7\/8470219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(357\/84))\/(2\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 2, -4, -2 in decreasing order.\nAnswer: 8, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*f - 18, -r - 3*f = -4 + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 762 + -569. Let k = -191.3 + h. Which is the second smallest value? (a) -2\/15 (b) 3 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Suppose 4*b - 2 = s, 0*s + s - 2 = l. Suppose -b = -h + 5. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -19 + -2 + (54 - 43).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/8 + 57*t**4\/8 - 45*t**3\/2 = 0. Calculate t.\nAnswer: 0, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s - 6. Let y(g) = -8*g + 7. Let x(d) = -7*c(d) - 6*y(d). Let l(o) be the second derivative of 23*o**4\/6 - 44*o + 29. Calculate l(x(q)).\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Let z(i) = 6*i - 2 - i**2 - i - n + 3. What is z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 5. Let a(q) = 6*q + 8. Let v(s) = 5*a(s) + 8*f(s). Let l(z) = 9*z. Determine l(v(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/((-126)\/(-84))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -267, -1 in ascending order.\nAnswer: -267, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1488 - 1452. Solve 35 + 37 = -n*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5*s - 3*s)*(11 - 3 + 28)*(2*s + 0*s - 3*s).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 9, 2\/11, -160, 0, 0.354?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 125 = -15*v - 146, -3*z - 4*v + 14 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -3)*(-117)\/(-6). Suppose j + 146 = t. Suppose -t = -5*o + 750. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmgmtgtmgtttt. Give prob of picking 2 t, 1 m, and 1 g.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 26*l = 114. Let q = l + -42. Sort 0, q, -0.1 in ascending order.\nAnswer: q, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97820 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 + 2*t**2 - 3*t - 2. Let a be 5\/(-30)*-6*(1 + 0). Suppose 37 + a = -19*j. Determine c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let b be 10\/55 + m\/(-11). Calculate the remainder when 23 is divided by 6 + 0\/(1 - b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30994679?\nAnswer: 30994679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 312 = -4*t, -2*y - 37 = 5*t - 427. Suppose -4*k = -t + 262. Let a = 79 + k. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -635 + 631.69. Round k to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -112, -259, -466, -733, -1060?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 - (-178)\/88). Let p(k) = 6*k - 65*k**2 - 5*k + 3 - 4*k + 68*k**2 + k**3. Let t be p(-4). Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*m - 1 + 1 + 54*m in the form p + g*m and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 552202, 552170, 552066, 551854, 551498, 550962?\n\"Answer: -6*z**3 + 10*z + 552198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6145 and 35816747?\nAnswer: 179083735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w*w**(-5)*w)\/w)\/w)))\/(w\/w**(3\/7)))**(-17\/2)\/(((w*w**1*w)\/w*(w*w**(-7)\/w)\/w)\/(w*w**(-4\/7)*w**(-3)*w)) assuming w is positive.\nAnswer: w**(725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-15)*(-2)\/70*-5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 852.4015\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 = 4*z - 0*z, -26 = -5*z + f. Calculate the remainder when 53 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 16. Let c be m(6). Suppose -2*k + 3 = -5. Solve 3*o + c = k*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 44, 0.3, 0.4, -2\/13, -3, 24715?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -18. What is the tens digit of (-1)\/(28\/(-9443)) - g\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r + 6. Let p(v) = -21*v - 16. Let n be p(-1). Let a(j) = 9*j - 5. Give n*o(c) + 6*a(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 18, b: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 5:40 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3 + 1224*s**2 - 109296*s + 2285280 = 0.\nAnswer: 30, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 3*s**4 - 10*s**3 + s**4 + 19*s**4 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:54 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w - 12*w**5 + 6*w + (-4*w**4 + 2*w**4 + w**4)*(2*w + 0 + 0).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 + 4.61. What is the closest to m in -2, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33317 (base 9) to base 10\nAnswer: 22129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/(-10) - 16\/(-40). Suppose j - 12 = 4*q, 4*q - 4*j = 2*q + r. List the prime factors of 325\/15 - q\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t - 3*o + 3, -21*t + 2*o - 21 + 23 = -22*t + 4*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*q + 513, p + p = 5*q + 504. Which is smaller: q or -203\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*x + x + 275*x - 16692. Suppose 0 = -0*s + s - 39. What is the highest common divisor of s and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712875.\nAnswer: 5, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 6*r**2 + 8*r + 3. Let i be l(4). Suppose -4*z = -3*u + 71, u - i*z - 23 = -z. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058794790.\nAnswer: 2, 5, 15091, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001031546821 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**3 + 2*q**2 + 4*q + 8. Give n(3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367629858 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480*q + 58131 = -4979*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 29946?\nAnswer: 89838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12780689.\nAnswer: 12780689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 2*n + 3*n)*(-1533*n + 1533*n + 70*n**2) + 3*n**3 - 4*n**3 + 3*n**3 in the form d + m*n**3 + o*n + b*n**2 and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 473660434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 - 5150\/23. Let i = -58 + 58.1. Which is the closest to i? (a) 2\/7 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2094*l - 5. Let i be v(-9). Let s = -13141 + i. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y + 26*y + 5286 = 1041*y - 3694 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 74*t + 724. What is u(15)?\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = r + 11, 3*q - 1 = -r + 4. Put 5, 1, 0, r in descending order.\nAnswer: 5, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-154)\/33 - 1577\/(-3). Which is greater: 525 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*63\/576*(-3)\/7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25280*a**6 + 15411*a**2 wrt a.\nAnswer: 3033600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 3052*m**2 - 580640*m - 583696 = 0. What is m?\nAnswer: -1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.2. Let z(h) = 4*h - 7. Let q(x) = 5*x - 6. Let r(v) = 3*q(v) - 4*z(v). Let u be r(6). What is the nearest to 1 in a, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfraawwwwwxwfwwr. Give prob of picking 3 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10757*b**3 + 5*b - 2*b - 3*b.\nAnswer: -10757*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 - 2*a + 1. Let h(v) = -v**3 + v - 1. Let s(z) = -f(z) - 3*h(z). Let q(r) = -7*r**2 - 20*r - 15. Let u be q(-2). Determine s(u).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:40 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**5\/30 + 5*s**4\/24 - 17*s**3\/3 - 136*s**2\/3 + 320*s\/3 + 747. Factor r(m).\nAnswer: (m - 10)*(m - 1)*(m + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 202*g**2 + 10137*g + 3. Determine u(93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**3 + 4*r**2 - 4*r - 2. Suppose 3 = -w + 2*w. Let n(z) = -9*z - 11*z**2 + 6 + 11*z**w + 11*z - 28*z**3 + 9*z. Calculate 11*k(g) + 4*n(g).\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3\/3 + 5*q**2 + 12*q - 2. What is the units digit of i(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -h + 5*u, -7848 = 5*h - 4*u - 7874 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306816*f**5 - 129*f**3 + 107*f**2 - 145279 wrt f.\nAnswer: -18408960*f**2 - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8656766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-14763)\/210)*(-31)\/((-2480)\/(-96))?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + 2*q - 3*q - 2*q to n*q + s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 943*o**4\/4 + 95*o**3\/3 - 1068. Find the third derivative of f(m) wrt m.\nAnswer: 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3255\/93*560\/(-245)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {a: 1, p: 4, s: 1, q: 1, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let r(h) = 1. Suppose 9*y + 15*y = 96. What is y*r(s) - w(s)?\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13 - 2000\/520 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 6*d - 1. Let g be v(5). Let s be (-2)\/5 - (-12334)\/35. Suppose -s = -2*h - 82. Calculate the greatest common factor of h and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34803481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2. Suppose 1 = -2*d - 5*v, 2*d - 3*v = -0 + 7. Let z(x) be the second derivative of d*x - 1\/3*x**3 + 0 + 0*x**2. Determine z(b(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 9430.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*p = -3*f - 1285*p - 43, 395 = -143*f - 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -21. Suppose 5*z = -x*l - 0 + 15, -3*l = -4*z - 16. Solve -4*c = 2*o - 9 - 11, 0 = l*c - 2*o - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + sqrt(176)*-1 + 4))**2 - (4 + -1*((sqrt(176) + 1)*-1)**2).\nAnswer: 8*sqrt(11) + 4573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4 - b**3 - 12*b**2 + 5*b. Let c(u) = u**3 - 37*u**2 + 19*u + 73. Let f(h) = 3*c(h) + 8*v(h). Solve f(q) = 0 for q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 2\/13 (c) -7.1271 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -24*y + 68 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 17*z**2 - 13*z + 44. What is the hundreds digit of m(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 4:16 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7149199 is divided by 244?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a583 (base 14) to base 2\nAnswer: -110111101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -1, -278, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 61, -3 in decreasing order.\nAnswer: 61, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 6*g - 5. Let v be m(-4). Let t be (-3)\/2*2\/v. Let w be (-1)\/(-2)*2*t. Is -1\/7 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*s - 3 = -170*s. Let b(r) = 2*r - 1. Let x(w) = 26*w**2 - 6*w + 53. Let k(m) = s*b(m) - x(m). Find the first derivative of k(z) wrt z.\nAnswer: -52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1615.2069 - -0.1.\nAnswer: -1615.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/14 - -7\/2. Let u = -648 - -651. Is o greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.63 + 1.03. Let k = -27 + 14. What is the third smallest value in 0.2, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j + 4*h + 5 = 0, j = 5*h - 2. Let w(t) = -j - t - 8*t**3 - 17*t**3 + 27*t**3 - 5*t**2. What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let o = -71334\/43 + 1659. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {j: 6, x: 1, u: 1, h: 1, o: 3, b: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49218 + 94171. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1897, -7589, -17069, -30331, -47369?\n\"Answer: n**3 - 1900*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 2 - -26) + -470 + 440?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-9)\/9*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.7. Let m be (2\/(-30))\/(6\/(-54)). What is the closest to 1\/3 in 4, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -69 and 1328783.\nAnswer: 1328714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z + 115*z = -125*z - 14018 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4326 = b + 4403, 83 = b + 5*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 210, 418, 626, 834, 1042, 1250?\n\"Answer: 208*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -9 + 13\/(-1). Let f = u + 18. Solve 0 = -4*o + f*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5984 is divided by 2937.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/9*((-15)\/(-10) + -3). What is the greatest common factor of s and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -274*x + 549*x - 300*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2)*154102 - (8 - (11 - -6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t = -84*t - 209 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-11 - (-46 + 50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023087?\nAnswer: 3, 31, 181, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + -1 - -3. Suppose -2*k = -3*d - 0*k - 2, 3*k - s = -4*d. Solve f - 4 = -d*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, 0, -2, -1, 7439, -5 in descending order.\nAnswer: 7439, 18, 4, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -649533*f**4 - 355*f**3 - 556455*f**2 - 2*f - 569?\nAnswer: -15588792*f - 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f + 2. Let c be w(3). Solve 4*y + 3 = -c*k + 1, 3*k + 16 = 5*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1196 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 6 - 17*p)*(0 + 4 - 2) as v + b*p and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 793 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*d**2 + 122*d**2 - d**3 - 324*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1030233 (base 4) to base 8\nAnswer: 11457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(18)\/sqrt(6)*-3 - (4 + (sqrt(75) + -1 - sqrt(75))).\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**3*z**2 + 5*c**2*z**3 + 15*c**2*z**2 + 16*c*z**3 + 50*c*z wrt c?\nAnswer: -42*c*z**2 + 10*z**3 + 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -86. Let g be (-2)\/(-7) - 2236\/(-14). Find the common denominator of u\/(g\/68 - 3) and 63\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -44, -48, -52, -56?\n\"Answer: -4*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/90 and 432992\/(-1054080)*1 + (-2)\/(-5).\nAnswer: 32940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 105*q + 6379. What is x(-59)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*j - 2 + 35 = -144*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**20)**(-34))**(-3\/14))**(2\/37))**(2\/67) assuming j is positive.\nAnswer: j**(4080\/17353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 5*b**4\/9 - 8*b**3\/9 - 2*b**2\/3 + 23*b. Solve x(y) = 0 for y.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120321221311 - 303?\nAnswer: -120321222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7051232 divided by 1762808.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5758948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/22)*y**(10\/3)*(y\/(y\/(y**(2\/7)*y)))**(-41))**(-11) assuming y is positive.\nAnswer: y**(22793\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + j + 12*j**2 - 11*j**2. Let a(n) = n + 1. Let t(o) = 1 - 5*o + 2 - 6. Let i(k) = -3*a(k) - t(k). What is i(u(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 17 = 29. Suppose 0 = -x*w + r + 826, 0 = -r + 2. Is 46 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*-5*18\/(-1575))\/((1288\/11845)\/28).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3492 and 93\/1161104?\nAnswer: 1013643792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 7*b**6\/24 - 3*b**5\/4 + 5*b**4\/12 + 17*b**2\/2 - 17. Let o(p) be the second derivative of q(p). Suppose o(m) = 0. What is m?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 1\/639673232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*r - 9, -351*r + 346*r = -4*q + 42. Solve 3*n = -q*p - 6, -21*p = 4*n - 16*p + 4 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let u(y) = 36*y + 632. Give u(j(h)).\nAnswer: -72*h + 632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 396\/5*a + 0 - 136\/5*a**3 + 2\/5*a**4 + 258\/5*a**2 = 0.\nAnswer: -1, 0, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 791\/8 - 197\/2. What is the nearest to -1 in b, -1\/8, 0.5, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 34 = 110. Suppose -g = -3*g + f. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-34 + 85 + -39)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (19 + (11 + -16 - 4)) - 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.1411 + -80.56. Let i = 0.441 + l. What is i rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21126995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 s when four letters picked without replacement from syjfybsfyfs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - b + 1. Let x = 114 + -106. Suppose -9 + 1 = -x*g. Give o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttytymyqpyyy. What is prob of sequence my?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = 2*s + 7, 5*w = -5*s - 15. Suppose -w*a + 21 = 2*z - z, -2*a - 29 = -z. Solve z = -6*b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 4*h + h**2 + 3*h - 4*h. Suppose 3 = -2*m - 3*b + 8, -b + 7 = -2*m. Calculate z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**3 + 5*b**2*r**2 - b - 15*r**2 wrt b?\nAnswer: -48*b + 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*c, 5*c - 25 + 20 = 3*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q + 50. Let d be o(-4). Solve -3*n - 4 = -d*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4879474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*p + 6 = -0, 4*b - 12 = -p. Let k(h) = -b*h - 2*h + 4*h. Let z(g) = -14*g**2 + 4*g**2 + 9*g**2. Calculate k(z(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/23, -12, 0.5, 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417042719 is divided by 6540.\nAnswer: 6539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(2325\/(-60)))\/(2\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -55. Let m be 7 - z - 21*-1. Suppose 0 = 2*h - 5*y + 15, 0*h + h - 5*y = -m. What is the highest common factor of h and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58006 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3376, -3375, -3374, -3373, -3372, -3371?\nAnswer: -3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30115.\nAnswer: 5, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = t - 3, -5*y - t - 12 = -5*t. Suppose y*c - 301 = -7*c. Suppose -4*m - 3*d = c + 2, 0 = 3*d - 15. Do -15 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343))**2 + sqrt(7) + -3.\nAnswer: sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*18\/(-45))\/(3\/((-45)\/174)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69689470*b**3 + 69689465*b**3 - 139378934*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + r = 72, -5*h + 538575*r = 538579*r - 293 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1006, 7845, 26326, 62269, 121494, 209821?\n\"Answer: 970*o**3 + o**2 + 46*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - w - 1902 + 253 = 0, -4*h - w + 1655 = 0. Let u = 488 - h. What is the greatest common divisor of 200 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 4, e: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4 + 13595*y**3 - 296555*y**2 - 310155*y = 0.\nAnswer: -1, 0, 23, 2697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*b = -20, 2*g - 3*g = 4*b. Let r = 7 - -3. Calculate the least common multiple of r and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 42. Let y(f) = f**2 - f - 2. Let k be y(-2). Let l = 17 - 19. What is the nearest to 2\/9 in l, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29361, 29236, 29111, 28986, 28861, 28736?\nAnswer: 28611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-2\/9)*c**6*(c\/(c\/(c**(2\/7)*c)))\/((c\/(c\/(c**(2\/9)*c)))\/c) assuming c is positive.\nAnswer: c**(557\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -3)*1 + 0 + sqrt(72) + 4)**2.\nAnswer: 24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172315705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3\/4)\/w))**1*(w\/w**(-4\/5))**19 assuming w is positive.\nAnswer: w**(739\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/13, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-12)\/(-84))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*a + 662, 40*a - 37*a - 3 = 0. What are the prime factors of h?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 533625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111730*i**2*v**2 - 12137*i**2*v + 2*i**2 + i*v**2 + 2 wrt v?\nAnswer: 223460*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1133*j*u**3 + 6*j*u**2 + 3*j - 7*u**2 wrt u.\nAnswer: -6798*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s**2 - 2 - s - 16*s**2 + 0*s + 2*s + 13*s**4 to the form y*s**4 + h*s**3 + f + k*s + i*s**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 54 = 4*p. Suppose 4*a - a - p = 0. Calculate the highest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25961 is divided by 12934?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12769 - 0.5.\nAnswer: -12769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 106850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -328\/7 and -1386 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f**2 - 36*f + 17. Let o(h) = 15*h**2 - 36*h + 18. Let k(s) = -5*o(s) + 6*p(s). Factor k(b).\nAnswer: 3*(b - 2)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**4 + 5338*d**3\/3 + 68338*d**2\/3 - 2352890*d\/3 - 74900 = 0. What is d?\nAnswer: -107, -35, -2\/21, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -8. Let n = 14 - k. What is the greatest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 21. Let j(h) = h**3 + 19*h**2 - 2*h - 6. Suppose -4*p + 5*p = 4. Calculate the smallest common multiple of p and j(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1158)\/(-10))\/3 - 27\/45. Find the third derivative of -6*g**2 + 71*g - 34*g + 33*g**6 - u*g wrt g.\nAnswer: 3960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2\/2 + 762. Let b(d) = -12*d**2 - 4*d. What is b(s(q))?\nAnswer: -12*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let a(b) = 2932*b. Determine a(y(w)).\nAnswer: -5864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/5, 0.4, -2, 1\/23, -3 in ascending order.\nAnswer: -3, -2, 1\/23, 0.4, 24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0107 * -0.1.\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 136*t**2 - 523*t + 660.\nAnswer: -(t - 1)*(t + 5)*(t + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 6. Let a be l(-3). Solve 3*p - 15 = -a*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -879.8 and 3.\nAnswer: -876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (2167 - 2188)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**4 + 6*i**3 - 9*i**2 + 6*i + 6. Let s(c) = -4*c**4 + 7*c**3 - 9*c**2 + 6*c + 7. Let n(z) = 7*m(z) - 6*s(z). Factor n(u).\nAnswer: 3*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -5e?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*l**3 - l**2 + 21*l**3 - 144*l**4 + 6*l**3 + (2*l + 1 - 1)*(-2*l**3 - l**3 + 2*l**3) to z*l**4 + y*l + w*l**2 + t*l**3 + p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*f + 348, 2 = -k + 5. Let u be (2\/5)\/(6\/f). Suppose u = 4*s - 3*s - 3*c, 5*s + 8 = -2*c. Solve s*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 35 = 4*l, 0*l + 32 = -4*l - 4*p. Let g(b) be the first derivative of -3*b**2 - 39 - 2\/3*b**3 + 0*b. Give g(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -10109371927.994.\nAnswer: -10109371927.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8) - 2) + (-3)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 4*j - 2*j)*(3 - 1 - 4)*(-2 + 2 + 7) to k*j + p and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -1 + sqrt(2) + 5 + (-2*sqrt(2) - sqrt(2)) + sqrt(2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 - j**2)*(-18*j + 10*j + 5*j - 44).\nAnswer: 9*j**3 + 132*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.01. Let q = l - 0.05. Put q, -0.4, 2 in ascending order.\nAnswer: -0.4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.291 - -0.129. Let q = n + -0.02. Let t = 0.6 + q. Which is the third biggest value? (a) 2\/17 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 57 = -3 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 2. Let u(t) = -5*t + 7. Let i(w) = 4*w - 6. Let m(h) = 6*i(h) + 5*u(h). Suppose 2*q + 1 = -14*r + 17*r, 0 = -3*q + 3. What is r*s(x) + 3*m(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 8. Suppose 0 = -0*b - 3*b + 15. Calculate q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - w**4 + 3*w**4 + (-3 + 3 - w**3)*(-2*w - 1 + 1) + 0*w**4 + 4*w**4 - 3*w**4 + (-2 + 2 - 3*w)*(0*w**3 - 4*w**3 + 2*w**3).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31109 by -506.\nAnswer: 31109\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.04 plus 21.268?\nAnswer: 17.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Differentiate 4 - c - c**2 + c - f wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*c + 119, -12*w - 4*c - 124 = -14*w. Suppose 38*h - 32*h = w. Calculate the highest common factor of h and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51617, 51620, 51625, 51632, 51641, 51652, 51665?\n\"Answer: r**2 + 51616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1 - 5 + 9. Let n(t) = -t**3 + 24. Suppose -4 = -5*d + 3*u - 3, 6 = -3*d + 4*u. Let y be 1*(d - 0 - -1). What is y*n(a) - 24*l(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3646.\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 5 (c) 0.4 (d) -0.1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -621.43 at least -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -23. Suppose 0 = -3*g + 4*x - 36, -g - 6*x = -4*x + 2. Put -2, j, 3, g in descending order.\nAnswer: 3, j, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/26)\/((-20)\/(-1820))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 182 = 157. Let c = 33 - 17. Solve k + c = -4*p, 3*k = 8*k - j*p - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {b: 6, r: 3, y: 1, k: 2, a: 5, t: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 10*j + 15. Let v(l) = l**2 + 5*l - 8. Let o(i) = -3*p(i) - 5*v(i). What are the prime factors of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/(-4)*(-32)\/(-12). Let y = j + 80. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 + -160. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t - 7. Let s be (-32)\/112 + (-3 - 15\/21). Determine g(s).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 2. Let k(v) = -2*v + 1. Let o(f) = -3*k(f) + 2*x(f). Let u(q) = 2*q. Let m(w) = 3*w**2 + w - 1. Let s be m(1). Give s*u(c) - 2*o(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10411, -10412, -10413?\n\"Answer: -w - 10410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 11, x: 7}. What is prob of picking 1 u and 1 x?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 i, and 1 f when four letters picked without replacement from {r: 6, i: 1, e: 2, b: 1, f: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edrqdeeder. Give prob of sequence ee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 4*l - 2. Let r(c) be the third derivative of 7*c**5\/30 - 11*c**4\/24 + c**3 - 27*c**2. Give 17*j(q) + 6*r(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/24 - 16*w**3\/3 - 5*w**2 - 59*w. Let m(n) = 4*n**2. Calculate m(d(o)).\nAnswer: 4*o**2 + 256*o + 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6490 and 91\/10.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-17 - 2 + 4)*(3 - 3 + q**3)*(q + 2 - q**2 - q).\nAnswer: -15*q**5 + 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804664419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-4)*(-52)\/91. Solve s + y*l = 9, -7*s - 5*l = -6*s - 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/34224?\nAnswer: -17\/34224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 33*k + 70*k = -1154 - 506 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441045 and 605.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40aa3 (base 15) to base 5\nAnswer: 23024103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 622*r + 622*r - 1360*r**2)*(-r - 2*r - 4*r) in the form f + h*r + v*r**3 + i*r**2 and give v.\nAnswer: 9520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:36 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2)\/(d\/(d*d**(-5\/4))) assuming d is positive.\nAnswer: d**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**6\/360 + 23*g**3\/6 - 12*g. Let b(m) be the second derivative of z(m). Let k(j) = -13*j + 5*j - 22*j. Give k(b(q)).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49672 and 13.4?\nAnswer: 49658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 + 3404\/21. Is l <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*2*1 + sqrt(209) - (sqrt(209) + (-2*sqrt(209) - sqrt(209)) + sqrt(209))*4)\/(-5*(6*sqrt(275) + sqrt(11))))**2 + -5.\nAnswer: -118909\/24025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 55*z + 4577936 = 79*z. What are the prime factors of z?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1.08 (c) -1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/19? (a) 138 (b) 3 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 42, 48, 46, 36, 18?\n\"Answer: -4*z**2 + 26*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q**2 + 2*q**3)*(q**2 - 3*q + 2*q + 8*q**2).\nAnswer: 18*q**5 - 11*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8165 is divided by 264?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*6\/(-8)*(-8)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79523\/22 + 3613. Let m be ((-2)\/6)\/((-3)\/9). Calculate the common denominator of f and m\/3 - (-77)\/(-12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t + 504. Let p be q(-22). Which is the smallest value? (a) 2\/187 (b) -1 (c) p (d) -4\/9 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2297 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1257?\nAnswer: -125.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 9*m - 2. Let w(c) = 4*c**2 - 18*c + 4. Let v(k) = 10*f(k) + 4*w(k). Let x be v(4). Solve 5*i = -t - 21, -2*i - 34 + x = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*q**5 - q**4 + 24*q**3 - 5116*q**2 wrt q.\nAnswer: -1500*q**2 - 24*q + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.286 + 158.286. Let q = y + -157.999999577. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107159 - -4941. What is g rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i - 3 = -227. Solve -2*w = i*q, 4*q - 6 + 2 = -4*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -133. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = -5*q + q, -4*q - y = -15. Solve -q*p + 0*p - 32 = 4*h, 0 = -4*h + 4*p - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 13*p - 15. Let m = -5 + p. Put -1, m, 4 in increasing order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -210.0637322227.\nAnswer: -212.0637322227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 20*y**2 - 16*y + 60. Let z be a(-19). Find the second derivative of -2 + 991*t**3 - 10 + 3*t + 2*t**2 + 29*t**5 - 991*t**z wrt t.\nAnswer: 580*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -100, -6.\nAnswer: -100, -20, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11890 + -8182. Calculate the highest common divisor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16110 + -1319. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 66. Let y be r\/4 - 26\/104. Factor -8*j + 6*j**y + j**3 + 23*j + 7*j**2 - 4*j**2 - 25.\nAnswer: (j - 1)*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (10 + -6 + 6 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 12*q - 8. Let l(k) = 2*k - 6. Let g(s) = s**3 - 5*s**2 - 4*s - 5. Let b be g(6). Let m be l(b). What are the prime factors of t(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1419 and 10593?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259 - 256. Let d be 5 - (-1 - (0 - 0)). Suppose d = -q*p + 222. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 14*o**2 - 17*o + 25. Calculate g(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198337 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 98*b + 7135. Determine v(-60).\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j. Let p(d) = 256*d**2 - 119*d**2 - 135*d**2. Give p(h(i)).\nAnswer: 2*i**4 - 8*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.52. Let k = 710\/3 + -236. Sort v, -4, k in increasing order.\nAnswer: -4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 387 - 383. Suppose -n*b + 3605 = -10*q + 7*q, 5*b - 4*q = 4505. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2\/29, -382.4928?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 12 = -10*j. Suppose -2*d = 3*m - 16, 4*d - j = -d + m. Let x(p) = p**3 - p**2 + 2*p - 1. Calculate x(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:53 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -84, -134, -212, -324, -476, -674, -924?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/((-7)\/21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194734?\nAnswer: 2, 97367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -0.1, 22, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239586?\nAnswer: 2, 3, 73, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*u - 0 - 34, -5*m + 4*u + 76 = 0. Suppose -m = -n + 21. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 14*z**2 - 20*z - 35. Let y be k(13). Let u be 4\/91 - 72\/y. Is 0 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -158?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(0 - 3) - 3. Suppose n*y = 3*y. Suppose y = 4*w - 0*w - 104. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z + 5*t, z + t + 2*t = 3. Suppose -z*n + 3 + 12 = 0. Suppose v - 21 = 4*a, -n*v - 1 - 4 = 2*a. Which is bigger: v or -11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + s - 18 = 0. Suppose 0 = g - 9 + s. Suppose g*k - 3*k - 219 = 0. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*y + 76 = 0, -3*y - 24 = 6*f - 9*f. Let x = -10 + f. Factor 38 + m**3 - 17 - m**2 - x*m - 21.\nAnswer: m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6498523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 82*y + 11. Let q(z) = 4*z**2. What is a(q(n))?\nAnswer: -32*n**4 - 328*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*v + 436*v + 147*v = 140904 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*j - 8, -5*j + 4*z - 8 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*z**6 - 4*z**5 + 146*z**2.\nAnswer: -1440*z**3 - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2.2, 0.51, 2\/13 in ascending order.\nAnswer: -2.2, -1\/8, 2\/13, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 + 354*c**2 - 2016*c = 0. What is c?\nAnswer: 0, 6, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2) - 1 - 12\/(9 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let s = -22\/15 - -4\/5. Let j = 63 + -253\/4. Which is the closest to j? (a) s (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/48 - (-94)\/(-752). Let 10\/9*f**5 - 8\/3*f**3 - b*f**4 + 0 + 0*f - 8\/9*f**2 = 0. Calculate f.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 1507046.\nAnswer: -1507047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 - 6*w**2 + 51*w - 35. Let q(y) = -3*y**3 - 2*y**2 + 26*y - 18. Let s(l) = -4*g(l) + 7*q(l). Is s(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/139 - -127\/417. What is the nearest to t in 5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 114246?\nAnswer: 4569.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72061 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159156194 divided by -1?\nAnswer: -159156194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - 2*o)*(-2 + 1 - 1)*(-30*o**2 - 4*o**3 + 30*o**2)*(-o - o + 0*o).\nAnswer: 48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27325 (base 11) in base 3?\nAnswer: 1222111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -1. Let o be (-18)\/7 + (-4)\/j. Let p = 1573 - 1572.7. Which is the third biggest value? (a) o (b) p (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p + 29*p + 49*p + 67 - 118*p.\nAnswer: -11*p + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 27*q**2 + 783*q - 43. Is f(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -135826 and -5149579?\nAnswer: 5013753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/5)*v)\/v)**(4\/17))**(-36) assuming v is positive.\nAnswer: v**(432\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-20)*0)\/(-2 - -4). Suppose -3*r + 558 = v, r + v - 97 - 89 = p. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156375*q**3 - 156739*q**3 + 313116*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*r - 6, 2 + 7 = 3*r - 5*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 390061*v - 194916*v - 195145*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739311.\nAnswer: 3, 281, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*v - 27 = 0, -3*w + 2 - 21 = -2*v. Which is the nearest to w? (a) 3439 (b) -0.1 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 861 - 865. Let o = 2 - 0. Sort o, -5, l in descending order.\nAnswer: o, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26626238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 16*y + 23. Suppose -5*b = 3*z - 20, -3*z - 3*b = -0*b - 24. Calculate the smallest common multiple of o(-15) and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + -4)\/(-3) + -1. Let s be t*(3 - 25\/15). Solve 2*u = s*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63\/377 + 18463\/22620. Find the common denominator of -129\/110 and p.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from bcbzmbzzabbbazzzzb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 5, -18, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 802 and 86?\nAnswer: 34486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 21 = 8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -4*c**5 - 110*c**4 - 1585*c**3\/3 + 1925*c**2\/2 - 510*c + 44. Suppose w(h) = 0. Calculate h.\nAnswer: -17, -6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1133 and 10918?\nAnswer: 120098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376 and 47?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 13) + 3 - 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 10*i - 28. Determine v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073 is divided by 1022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:57 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -0 - 27 + 97 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - -255. Let g be (n\/280)\/(2\/7). Let l(z) = z**3 - 3*z**2 - 3*z + 4. What is l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 4. Let w(g) = -7*g - 7. Let d(u) = 3*w(u) - 5*y(u). Let b(s) = -4*s - 5. What is 2*b(z) - 9*d(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1628264 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 3208930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = -3*x, 3*u - 280 = 4*x. Suppose 0 = 2*b - u - 4. Let p = -5 + b. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from gxppggpggpxppgp?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f*o**2*x**3 - 2*f*o*x**3 + 3*f*x**3 + 2090*o**2*x**3 - 337*o**2*x - 6879*o*x**2 - 64*x**2 wrt o.\nAnswer: -10*f*x**3 + 4180*x**3 - 674*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 2. Let z(v) = 634*v + 17. Give 7*m(k) - z(k).\nAnswer: -613*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (sqrt(1088) + -5 + 1*sqrt(1088) + sqrt(1088))**2.\nAnswer: -232*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w. Let m(k) = k - 1. What is g(t) - 2*m(t)?\nAnswer: 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1609 - -1609.0857. Let z = -282.094 + 282. Let h = z + o. What is h rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 13\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + sqrt(135)*-2)*1)\/(sqrt(3) + sqrt(36)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -581429 bigger than -581349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -9\/20*v**5 + v**2 - 20\/3*v**3 + 5 - 3*v + 0*v**4 - 2\/15*v**6. Find the second derivative of t(x) wrt x.\nAnswer: -48*x**2 - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let w be ((-9)\/(-3))\/((-6)\/(-8)). Do t and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2813*o + 5500*o + 89 = 2776*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - (-3)\/5*(-105260)\/(-171). Solve -y + 55 = 45*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1002 and 108066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.32 (b) 6.3 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2091974.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.76777042 rounded to three decimal places?\nAnswer: -1.768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v + 8. Calculate j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 times 11614\nAnswer: -5342.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/8 (c) 5 (d) 7 (e) -0.2 (f) -377 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/13)\/((-45)\/(-30)) - 19\/39.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) + (sqrt(440) - sqrt(440)*-1))*5 - (sqrt(440) - (sqrt(440) - sqrt(440)*2*-3)))\/((sqrt(2880)*1)\/sqrt(2)*3))**2.\nAnswer: 539\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1012111 (base 3) to base 16\nAnswer: 36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*((sqrt(75)*4)\/sqrt(3) - sqrt(25) - sqrt(25)))\/(4*sqrt(55)\/(sqrt(11)*2 + sqrt(11)))*-2.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3635597849?\nAnswer: 13, 17, 167, 98507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:25 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 12 = i + 63 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**21*i*i)*i\/(i*i**(-15))*i*i**(-10)*i*i**9 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 127. Let g = u - 74.94. Let r = 0.56 - g. Which is the closest to 2? (a) 1 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1. Let f(n) = -7*n - 3. Let l be 12\/3*-2*1\/(-4). Let k(s) = l*v(s) + f(s). Let u(a) = -15*a - 2. Let i = -5 - -18. Calculate i*k(y) - 6*u(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 7)\/(-2 - -1). Let b(l) = -l**2 - 7*l - 2. Let n be b(s). Let h be 0 + (0 - (1 - 5)). Solve n*t = -2*r + 16, -3*t = -4*t + h*r - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 627231, 1\/9, 3\/7, 26, 1 in ascending order.\nAnswer: 1\/9, 3\/7, 1, 26, 627231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. Let i be (-10)\/(r + (-33)\/6). Suppose 36 + i = c. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132398 is divided by 2878.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 33. Let s = -4.8 - 0.2. Let h = s - k. Which is the second biggest value? (a) -0.3 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 611184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -2995628.27063?\nAnswer: 2995627.27063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -276441200 to the nearest one million.\nAnswer: -276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10\/3)\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r + 2*r + 10*r + 1 - 7*r + 3*r. Let f(b) = b**3 + 4*b. Calculate -5*c(q) + f(q).\nAnswer: q**3 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2132.9 + -0.0249.\nAnswer: 2132.8751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -14*n + 14. Let j(l) = 2*l - 1. What is 3*j(c) + k(c)?\nAnswer: -8*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4) - (-6)\/(-32)*(-1240)\/465. What is y in -234\/7*y**2 - 348\/7*y + 27\/7*y**m - 120\/7 = 0?\nAnswer: -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1\/4 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-6))\/((-8)\/(-204)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163\/6 + -27. Let h(p) be the second derivative of -q*p**4 + p**2 + p + 0 + 0*p**3. What is the derivative of h(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 13*p**2 - 65*p - 197. Let l be f(-8). Let k = 5 - 6. Let i(u) = u**2 - u. Let m be i(k). Solve 2 + m = 4*v + l*r, -3*v - 8 = 5*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4 + 3585*s**3 + 223209*s**2 + 4668867*s + 32617242 = 0?\nAnswer: -3522, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 25388. Let y(f) = 9*f - 1. Calculate y(w(l)).\nAnswer: 9*l - 228493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13909*s**2 - 6956*s**2 - 6957*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 - 44*w**2 - 44*w - 26. Let n(t) = -t**3 + 5*t**2 + 5*t + 3. Let c(d) = -52*n(d) - 6*o(d). Factor c(g).\nAnswer: -4*g*(g - 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70430958 divided by -1431?\nAnswer: -49218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280 = -80*a - 856 + 1976 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -63?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*(96\/(-28) + 4). Solve 3*r = -t + 10, -4*r = -5*r + p*t - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 183 = -4*m + 42, 20*p - 5*m - 206 = 4*p - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*t + 114, -3*v + 5*v - 104 = -4*t. Let i = v - 11. Suppose -85 = -4*l - l. What is the highest common divisor of i and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141999756.\nAnswer: 2, 3, 467, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/7655000 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -2. Let b = 6 - 6. Suppose b = f + 4*g - g - 45, -3*f = 4*g - 135. What is the greatest common factor of f and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 24*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(20*(-3)\/144*-12)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13867 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 m when three letters picked without replacement from komkkooooofomooxyx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 75\/33 - 354\/1298. Factor -3\/8*r**b + 15\/4 + 27\/8*r.\nAnswer: -3*(r - 10)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 164, 275, 494, 857?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*j**3 - 326*j**3 + 170*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -69 + 107. Do -39 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66381841763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 285751363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from hqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25\/7 + -489\/133. Which is the nearest to 3? (a) d (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02538206 to 5 dps.\nAnswer: -0.02538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21630 in -135, 0.2, 4?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 1012*x + 17 + 34*x**2 + 1012*x to the form b*x**2 + s + p*x and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbbkkekbebbhbbbbbh. Give prob of picking 2 h and 1 k.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 1. Let i(q) = -3*q + 1. What is the units digit of i(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*u - 14. What is the greatest common divisor of u and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2. Let r(t) = 8014*t**2. What is l(r(b))?\nAnswer: -256896784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 divided by 9?\nAnswer: -1021\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 655*u**2 + 8*u - 4. Let i(o) = -o**2 - 6*o - 7. Let a be i(-4). List the prime factors of g(a).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*i**4 - 6*i + 6761*i**2 - 45*i + 102*i**3 - 85*i + 0*i**5 + i**5 - 6765*i**2.\nAnswer: i*(i - 1)*(i + 2)**2*(i + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*j - 110587 + 110600 = 0, 3*m = 5*j + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/5 + 80340*o + 4034072250 = 0.\nAnswer: -100425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 25 - 1914\/(-968)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*(q\/(q*q**(-10)))\/q))**22*q**(1\/3)*q**13 assuming q is positive.\nAnswer: q**(-488\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -27*q**2 - 444*q - 1038. What is v(-3)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 68487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v = 26317 + 40913. What is the least common multiple of 360 and v?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = -22*y + 31*y - 150 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -18, -5 in decreasing order.\nAnswer: 1, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9345, 9405, 9461, 9513, 9561?\nAnswer: 9605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*w = 785*w + 4*t + 361, 2*w + t - 38 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-9))\/((-1)\/(-219)). Suppose 7*s = -s + 744. Let f = u - s. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 32650*d**4 + 32640*d**3 + 32650*d**2 - 32645*d = 0. What is d?\nAnswer: -1, 0, 1, 6529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323 (base 4) in base 3?\nAnswer: 20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1) + -4 - (-58)\/2. Let c = 58 - 29. Is s greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 54 = 13*a. Let x = a - -28. Calculate the greatest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8806 - -8840. Let j(a) be the second derivative of 0 + 5\/6*a**3 + 0*a**2 + 5\/24*a**4 + g*a - 1\/8*a**5. Suppose j(b) = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10835 (base 15) to base 16.\nAnswer: ccfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = -5*z. Suppose 0*f + 2*f - 3*w - 24 = 0, 2*f + 4 = -4*w. Solve z*x - 4*x = -f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1854*x - 1140216. Determine i(-615).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 9*y**2 + 14*y + 7. Let g(o) = 4*o**3 - 36*o**2 + 57*o + 29. Let z(m) = 2*g(m) - 9*v(m). Calculate the remainder when 89 is divided by z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 2. Let h(y) = 2*y + 1. Let t(r) = -7*h(r) - 3*l(r). Let n(f) = 2*f - 2. Give -6*n(a) + 11*t(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 6, -32 = 5*k + r. Let v = k + 11. Suppose -66 = -2*g + 3*m, v*m + 9 = -5*g + 174. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:02 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/(2\/(-685)). Suppose 227*p - 184*p + 6321 = 0. Let a = b + p. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 475*d**2 - 976 + 190*d**2 + 22*d**2 + 976 + d**2 - 1 + 1 + (0*d - 3*d + d)*(-2*d + 2*d - 4*d) as y + g*d + n*d**2 and give n.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**2\/2 - 13. Calculate u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 5*t - 0*t - 17, 2*t - 2 = -4*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 + j - 2. Suppose 3*z = -3*z + 12. Let b(f) = 5*f - 3 - 2*f**3 - f**z - 7*f + 4*f + 3*f**2. Let c(m) = -2*b(m) + 5*r(m). Calculate c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5 - 0. Suppose -8*j + 22 = -7*j. Let p be j\/8 - (-21)\/(-7). What is the third biggest value in -0.1, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 2 p when four letters picked without replacement from {i: 8, y: 2, c: 3, p: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 922, 1292, 1598, 1840, 2018, 2132?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2834176 is divided by 210?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53 and -179.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 6. Let g(t) = -2*t**2 + 7. Suppose 0 = 3*q + 30 - 9. Let n(k) = q*l(k) + 6*g(k). Let h(w) = 2*w + 7*w - 5*w. Give h(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 + 2*p - 5. Let m be r(-4). What is the second smallest value in 4, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-1 + 2 + -5))*2. Suppose -p - m + 69 = 0, m = -x*p + 2*m + 123. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/1359 (c) 4 (d) 1\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -133 * -3\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167428051.622 + 167450328.33000076. Let s = -22276.238 + c. Let m = s + -0.47. What is m rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159750 - 1159761 + 6*y**2 - 2*y**2 - 4*y.\nAnswer: 4*y**2 - 4*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:21 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-186)\/(-155))\/(4\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/300 - w**4\/24 + 2*w**3\/15 - 11*w**2\/2 - 12*w. Let i(m) be the first derivative of h(m). Factor i(y).\nAnswer: (y - 4)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -895346, -895344, -895340, -895334, -895326, -895316, -895304?\nAnswer: -895290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (-136)\/(583440\/13026)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.9131 to 1 dp.\nAnswer: -143.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvwvww. Give prob of picking 2 w and 2 v.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067566 rounded to six dps?\nAnswer: -0.000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/4 + 327*v\/4 + 165\/2 = 0. What is v?\nAnswer: -1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*i - 104, 5*i = -3*b - 100 - 3. Let t be (-147)\/1*4\/30. Let u = t - i. Sort -3, -2\/11, u in ascending order.\nAnswer: -3, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2119*z**2 + 5*z. Suppose -4*o + 35 - 15 = 0. Let c be w(o). Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1232*t**2 + 2604*t + 221. Give n(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11972251 + 7*n**2 + 11972251.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(-24)\/(-16)*6\/(-18). Which is bigger: i or -32\/7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*y - 4 = 0, 3*k + 3*y - 3 = -9. Let q be (k + 2)*7\/1. Suppose 4*r - q = -2. Solve x - 5 = -p, 4*p - x - 4 = r*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 1 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36341 and -0.13.\nAnswer: 4724.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1235 and 787438.\nAnswer: -972485930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 42 + -11 - 1) + 14\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1307741, -2615479, -3923211, -5230937?\n\"Answer: 3*b**2 - 1307747*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 164*u**2 + 5. Let d be x(-5). Let k = -32905\/8 + d. What is the common denominator of -67\/14 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d - 10 = 2*z, 20 = -4*d + 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 5. Suppose 0 = 5032*g - 5024*g - 320. What is the smallest common multiple of d and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63840 divided by -532?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x. Let h(n) = -28*n**3 - 5*n**2 + 4*n. Calculate 5*g(s) + h(s).\nAnswer: -28*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2205315, 2205314, 2205313, 2205312, 2205311?\n\"Answer: -k + 2205316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 35. Let r(v) = -v**2 + 13*v - 1. Let m be r(t). Let p(f) = -43*f**3 - 1. Let k be p(-1). Calculate the greatest common factor of k and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1254227444 - -4?\nAnswer: 1254227450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -52. Let n = 16.5 - p. Which is the third smallest value? (a) n (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 142 = -q - 2*j, 2*q + 2*j = -92. Let h = -27 - q. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2548*-0.5\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j - 5*f + 49180 = 0, -29540 = -3*j + 5*f. What is j rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 523*d - 373*d to the form x*d + z and give x.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, 1275, 4 in decreasing order.\nAnswer: 1275, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19351, -77396, -174137, -309574, -483707?\n\"Answer: -19348*j**2 - j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2979144 and 200?\nAnswer: 74478600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 divided by 38?\nAnswer: 210\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 306, 303, 298, 291, 282, 271, 258?\n\"Answer: -u**2 + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 43. Suppose 3*s + 2*i = 25, 0*i + 4*i - w = -4*s. Calculate the highest common divisor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33476, 66963, 100450, 133937, 167424, 200911?\n\"Answer: 33487*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14997, 29998, 44999?\n\"Answer: 15001*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -2, 0 = -3*t - 4*d + 283. Is 2\/(t\/30 + -3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-6\/11)*(q*q**(-1)\/q*q)**26)**(2\/25) assuming q is positive.\nAnswer: q**(-24\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/(-20))\/(1\/5). Suppose 0 = 5*f - 5*d - 155, 2*f + 4*d - y - 18 = 0. Suppose -3*q + f = 2. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*q + 34. Suppose -499 = -5*w - q. Let h = w + -55. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 322, 779, 1434, 2293?\nAnswer: 3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8*v**2 - 5*v**2 + 0)*(-10*v**2 + 10*v**2 - 19*v**3).\nAnswer: -57*v**5 - 19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2*u**6\/15 + 10*u**2 + 22*u. What is the derivative of b(w) wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2820 divided by -15.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + (8 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/33? (a) 4\/9 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(64\/(8 - 12) + 38 + -29). Find z, given that -867\/7*z**w + 51\/7*z - 1\/7 + 4913\/7*z**3 = 0.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - 4*(2*sqrt(684) + sqrt(684)))\/sqrt(12))\/(sqrt(27) + (sqrt(27) - sqrt(162)\/(sqrt(6)*-1))).\nAnswer: -11*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.289 - 0.039. Let c = g - 0.037. What is c rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/17 in -199, -1\/2, -1, -4, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 36*j**2 + 4009*j + 7584. What is y(49)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -834603*i**3 - 137*i**2 - 49*i - 3 wrt i?\nAnswer: -5007618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((60\/(-5))\/12))\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 963205252 divided by 4\nAnswer: 240801313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/2)\/(((-8554)\/(-94))\/364).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 3*v + 8, v - 16 = -3*g. Suppose g*b - 37 = 3. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(-5)))*n**(1\/11))**28\/((n**(2\/9)*n**(1\/2))\/(n*n\/n**(2\/3)*n*(n*n\/n**2)\/n)) assuming n is positive.\nAnswer: n**(33889\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26\/5 - -28\/5. Let q = 0.2 + -0.1. What is the nearest to 1 in q, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 14 = -4*p, 30*m + 4 = 4*p + 26*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2 - 28. Let r(b) = 20*b + 9. Let n be r(i). Suppose -5*a = -3*w + n, w = -0*w - 3*a + 93. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 224*y + 1342. Let c be t(-6). Which is smaller: c or 1628?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*a - 39, 14 + 13 = 2*g - 5*a. Suppose -15 = 3*f - g. List the prime factors of ((-56)\/f)\/4*21.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 4. Let f be u(-8). Let d(z) = -z**3 - 3*z**2 + z. Calculate the remainder when -2 + -2 + (-156)\/(-4) is divided by d(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/1 - -4*(-222)\/(-24). Suppose 34 = -5*a + 54, -3*a = -5*q + h. Solve 3*j - 6 = -0*c + 3*c, -5*j + q = -4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = -p. Suppose 15 = -a - 0*l + 4*l, -l + p = 0. Sort -1, 0, a in decreasing order.\nAnswer: a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 4 (c) 13 (d) 7 (e) -0.78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14368 times 5\nAnswer: -71840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2454082854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/(-66))\/13 + (-31672)\/(-4488). Which is the fourth biggest value? (a) -0.5 (b) 1\/5 (c) -3\/8 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.3 and -4.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + -6 + (1 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.37 - -0.63. Which is the fourth biggest value? (a) -3 (b) 0.2 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91306793+-0.7\nAnswer: 91306792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 + 53\/2*r**2 + 0*r**3 - 12\/5*r**5 + 62*r + 1\/12*r**4. What is the third derivative of x(j) wrt j?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67603466.\nAnswer: 2, 7, 29, 269, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*p - 9*p. Let k be 8\/9 - 2 - 10\/p. Which is the smallest value? (a) 2 (b) 26 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -201, -190, -175, -150, -109, -46, 45?\n\"Answer: u**3 - 4*u**2 + 16*u - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 - 1?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -45*n. Let l(h) = -4*h**2 + 422. Give l(t(d)).\nAnswer: -8100*d**2 + 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35180\/49 + 718. Let g be (-638)\/(-1176) + 1\/(-4). Let s = g + k. What is the second biggest value in s, 4\/7, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.29, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*c - 2112 - 3639 = 4806 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {b: 1, m: 3, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*(7 - 8)*(-1)\/(-3). Solve 6*q - 5*q = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.21255 days in hours?\nAnswer: 1229.1012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 198 = -4*n, 5*n + 0*n - 300 = -3*v. Suppose 2*o - 8 = z, -2*o + 32 = -0*o + 5*z. Calculate the remainder when v is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + 6*(1 + sqrt(162)) + sqrt(162))*-5 + 4)*4*-2)**2*1.\nAnswer: 1198080*sqrt(2) + 16632064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from fbbbwbww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611.1332us in days?\nAnswer: 0.000000018647375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1094*r**5 - 6*r**2 + 34*r wrt r?\nAnswer: -65640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204710679?\nAnswer: 3, 71, 106787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 351 - 2326. Does 79 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 12*q + 7. Let j be k(11). Let y be (-2)\/12*j*(-72)\/40. Which is the closest to 3? (a) y (b) 1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 6*b - 8*b - 9*b - 13*b. Let u(w) = -3*w**2. Determine u(t(v)).\nAnswer: -3*v**4 - 144*v**3 - 1728*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-134*6\/6. Let a = 137 + c. Solve 3 = a*z - 0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/66)\/(((-10)\/228)\/(33\/(-66))).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.309 from -16.5836.\nAnswer: -14.2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 316, 337, 358, 379, 400?\n\"Answer: 21*v + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22026835, 22026834, 22026833, 22026832, 22026831?\nAnswer: 22026830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from bmmwmmbmmmmbmbwm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -41. Solve -2*t + 2*n = -n + 15, p*t + 4*n + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 43*f**2 + 44*f + 8. Give v(20).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*o**3 + 7*o - 1.\nAnswer: -786*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 9*v**2 - 3*v + 30. Let k be i(9). Suppose -5*b = 4*y + y - 3240, 0 = -k*y + 3*b + 1926. What is the greatest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 + -124. Let p(r) be the first derivative of -4*r**2 - 14*r - 1. Let y(z) = -3*z - 5. Calculate x*y(w) - 4*p(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 21.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 - 3*x**2)*(-15*x + 40*x + 30*x).\nAnswer: -55*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 12)*(-20 + 20 + 13*c)*(0*c + 0*c - c**2).\nAnswer: 117*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43468487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000076139 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3))**2 + 2)*-6 + ((sqrt(3) + 1)*6)**2*3.\nAnswer: 216*sqrt(3) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 5 in decreasing order.\nAnswer: 5, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 20*u**2 - 20*u + 22. Let z be m(19). Let x be 60*50 + 3 + -6 + z. Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:48 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 26*u**2 - 10*u + 5. Let j(y) = -51*y**2 + 21*y - 9. Let c(t) = 5*j(t) + 9*l(t). Find the second derivative of c(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.25 + 29. Let v = -0.75 + k. Which is smaller: v or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1986.\nAnswer: 9930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 184*o + 1788. Give q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37*q**2. Let b(d) be the third derivative of -d**5\/60 + 34*d**2. Determine b(f(r)).\nAnswer: -1369*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z - 2. Suppose -5 - 5 = -2*w. Let s be 1 - 6 - (4 - w). What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1047 - 934. Suppose 24 + 72 = -r. Let i = r + n. Which is smaller: 20 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loooooll. What is prob of picking 2 o?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3\/20*(-13)\/((-2184)\/(-56)))\/((-32)\/(-30))\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125 and -291006?\nAnswer: 36375750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k - 5*r = 97*k + 15, r - 11 = 3*k. Sort -65, 5, 7, 2, k in decreasing order.\nAnswer: 7, 5, 2, k, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1918681678 to the nearest integer?\nAnswer: 43803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347380 by -1579.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*y + 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 1533.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 269336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 2*n**2 + n - 1. Let d = 9 + -5. Let a(h) = h**3 - 4*h**2 + 2. Let q be a(d). Is y(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 2 + -1)**2 - (0 + sqrt(504)\/sqrt(8))**2.\nAnswer: 14*sqrt(7) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + 31. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 890437*m**2 + 3453*m + 890437*m**2 + 2*m**3.\nAnswer: 2*m**3 + 3453*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d. Which is smaller: d or -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 28. Let l be c(5). Let i(g) be the first derivative of -g + 2*g**2 + 2\/3*g**3 - 1. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/2888 - -17293\/14440. Put -2\/5, x, -0.3, -16\/11 in increasing order.\nAnswer: -16\/11, -2\/5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 3 - 4)*(16 + 17 - 3737*x - 33) to s*x + a and give s.\nAnswer: -41107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7262 divided by -6?\nAnswer: 3631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xwwkhwwak.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -486222 - -1201?\nAnswer: -485021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 + 7 + 7 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 14) + (-55742)\/(-3720). Let b = 588\/31 - i. Calculate the common denominator of 121\/12 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5)*2 + (sqrt(120)\/sqrt(2))\/sqrt(12) + 4 - ((4 + (sqrt(30)\/sqrt(24) - (sqrt(5) + -1)*3))*3)**2.\nAnswer: -2873\/4 + 318*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 58 = -3*o. What is the second derivative of 3*v - 11*v - 17*v + 5*v - o*v**5 wrt v?\nAnswer: -580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i. Suppose u + 2 = 3. Let s be a(u). Suppose -24 = -s*p + 72. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49532 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 - 104. Sort 2, 0.1, r in descending order.\nAnswer: r, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67901465 by -1.\nAnswer: -67901465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 35, -236, -981, -2410, -4733?\n\"Answer: -35*t**3 + 78*t**2 + 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.086 and 0.004.\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549077808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*v - 21 = 0, -148*f - 4*v = -147*f + 31. Let m be (-2)\/(7 + 4 + -2). Which is the nearest to f? (a) -23 (b) 1\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z - z**2 + 5*z + 3*z + 12*z + 24*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 373, 278, 205, 160, 149, 178, 253, 380?\n\"Answer: g**3 + 5*g**2 - 117*g + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - s**2 + s + 1. Let k(a) = -55*a**3 - 2*a**2 + 5*a. Let d(b) = 2*f(b) - k(b). Let g be 6*(2 + 33\/(-18)). What are the prime factors of d(g)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2272785 and 6570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 191*u - 197*u + 180. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -4*t**7\/21 - t**3\/2 - 4*t. Find the second derivative of o(i) wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from yyffy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 165902818.\nAnswer: 1327222544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4220 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 3676*y + 113182. Calculate k(-703).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 248. Let z(h) be the third derivative of -h**4\/24 - h**2 - 13*h. Give r(z(v)).\nAnswer: 3*v + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(2\/5))\/c*c*c))\/(c*c**(-2\/5)))**(3\/2) assuming c is positive.\nAnswer: c**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816961 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let n(h) = -199*h + 326*h - 666*h - 362*h - 255*h. Calculate b(n(y)).\nAnswer: 2672672*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 2) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 51. Let z be y\/4 - ((-58)\/4 + 0). Solve s + 0*s - 11 = 4*h, -3*h - z = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -311.6 - -67.9. Round s to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 212100102210?\nAnswer: 212100102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111642481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - 4*c - 7. Let m be w(-3). Put -3, 11, m in decreasing order.\nAnswer: 11, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -25. Suppose b*d = 32 + 112. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41444, 41445, 41446?\n\"Answer: w + 41443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 53 - (4 - -21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - 80378.78?\nAnswer: -80440.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 53 and -29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -83\/2. Let u(h) = 9 - 7 - h**2 + 9*h - 16. Let o be u(4). Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Solve 0 = v*c - 3*d - d - 2, -16 = 5*c - 3*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244644800 a multiple of 2140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -20*a**5 - 8*a**3 - 67. What is the third derivative of u(q) wrt q?\nAnswer: -2400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12*-2)\/((-6)\/72)*(-19784)\/(-207732)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 3\/5*q**5 + 117*q + 0 + 1\/15*q**6 + 0*q**2 - 1\/12*q**4 + 0*q**3. What is the third derivative of r(m) wrt m?\nAnswer: 48*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/60 - a**4\/3 - a**3\/6 - a**2 + 108. Let u(q) = q + 9. Let l be u(0). Determine g(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 - 5*l**2 - 2*l + 4. Let q(c) be the third derivative of c**6\/24 - c**5\/15 - c**4\/12 + c**3\/2 - 35*c**2. Give -3*h(s) + 4*q(s).\nAnswer: 2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2771 = -269*y + 286*y. What is the least common multiple of 56 and y?\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -4887032.\nAnswer: 31\/2443516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-3)\/(-27)*-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5236 + -5236.5. What is the nearest to z in -1\/20, 1\/5, 1, 3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-34 + 17) - -4 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = -20*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t - 5*t**2 + 0 - 5\/8*t**4 + t**3 - 1\/40*t**6 + 1\/5*t**5. Factor k(m).\nAnswer: -3*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f + 580 = -20*f. Solve f = -25*y + 23*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(242) - (-1 + sqrt(242)) - sqrt(242))*-6 - (4 + sqrt(242)*-2 + 3))**2 + 1.\nAnswer: -21692*sqrt(2) + 280594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618310?\nAnswer: 2, 3, 5, 87277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 37. Suppose c*o - 2*o - 182 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3\/55 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -957, -3821, -8595, -15279, -23873, -34377, -46791?\n\"Answer: -955*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(304))**2 - ((sqrt(304) + (sqrt(304)*-1 - sqrt(304)) + sqrt(304))**2 + 2) - ((5*sqrt(171))**2 + sqrt(228)\/(sqrt(72)\/sqrt(6))).\nAnswer: -3969 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*((-3)\/120)\/(2\/12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, -1\/3, 1\/5, 86?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -246 equal to -2427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4699)\/(-9652)*38*2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 144561686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.225449681 rounded to three dps?\nAnswer: -1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52323*n**2 + 26309*n**2 - 78633*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l + 162*l = -230*l + 10176. Let z(i) = 598*i**3 + i**2 - 2*i + 1. Calculate the remainder when z(1) is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 13*w - 24. Let k be o(9). Solve -3*q = q - k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7592*-97\nAnswer: -736424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25478*s**2 - 140*s + 140*s + 9942*s**2.\nAnswer: -15536*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 7, -3\/2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -25. Suppose 5*k - i - 248 = 0, -k = -0*k + d*i - 60. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777195573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 29a85?\nAnswer: -29a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8133, -32545, -73233, -130197, -203437, -292953?\n\"Answer: -8138*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283460499131 take away 0.3?\nAnswer: 283460499130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 52*j**4 + 120*j**3 + 23*j**2 - 3*j. Let m(x) = -x**4 + x**2 - x. Let b(r) = 3*m(r) - o(r). Suppose b(h) = 0. What is h?\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 29 + 2*z**4 - 19*z**2 + 29*z**2 wrt z?\nAnswer: 8*z**3 + 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/60 - g**4\/24 + g**2. Suppose 3*j = -7 + 1. Let k(r) = 2*r**2 + r - 1. Let o(f) = j*k(f) - 3*u(f). Factor o(t).\nAnswer: -(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*t + 30 = 0, 3*y - 26 = -t - 8 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12670023?\nAnswer: 3, 383, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/123153 and 13\/24357.\nAnswer: 999879207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/8*(-192)\/240. Sort -9, -1, r, 3.\nAnswer: -9, -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -104)*8*3\/36. What is the highest common factor of 112 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00586898133 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.364 - 0.164. Let u = i - 11.9. Put 13, u, -0.4, -3 in decreasing order.\nAnswer: 13, u, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Let q(m) = 3*m**2 - m + 2. Is q(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x - 3. Let i be a(4). Suppose -y = -i*p + 13, 10*y - 5*y = -p + 13. Solve y*w = 6*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6629 - -13040. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -36*w - 38*w + 29 + 91*w - 34*w. What are the prime factors of j(-44)?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 80. Calculate the remainder when 34\/221 - 5571\/(-39) is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-2 + 0)**2 - sqrt(2299)) + sqrt(2299).\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1014896434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12295 - 2217 = 16*c. Let a = -879 - c. Calculate the remainder when ((-108)\/15)\/((-4)\/30) is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 602030*a - 67490080.\nAnswer: 5*(a - 112)*(a + 120518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, 20, 4 in descending order.\nAnswer: 23, 20, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3751, 7707, 11659, 15607, 19551, 23491, 27427?\n\"Answer: -2*i**2 + 3962*i - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 44*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3\/6 + 1663*a. Let h(c) = 2726*c**2. Determine m(h(v)).\nAnswer: 2726*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 843, 1343, 1905, 2535?\nAnswer: 3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48960 + 0?\nAnswer: -48960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 97 = j, 1421*x = j + 1416*x - 117. Calculate the highest common factor of j and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*i + 33*i + 43*i = 175*i - 6931 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q + 2*i + 3, 0 = 4*q + i + 12. Let h(d) = -44*d**3 - 3*d**2 - 3*d - 3. Is h(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15959\/19 - -840. Which is smaller: o or -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 7*k + 4*k - 160)*(2 - 2 - 3*k).\nAnswer: 9*k**2 + 81*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163473336.\nAnswer: 2, 3, 13, 58217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9, 8 = -3*j - x - 1. Put -178, j, 2 in decreasing order.\nAnswer: 2, j, -178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409078753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/36 + 88\/(-1056).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1074 - 1057 - (-7 - (-1 - 0)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(16\/20)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612618 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4907, 5076, 5239, 5396, 5547, 5692?\n\"Answer: -3*h**2 + 178*h + 4732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + -18)*(17 + -19). Sort -2, 5, -44, m.\nAnswer: -44, -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**3 - 29*x**3 - 5*x**3 + (-1 + 2*x + 1)*(2*x**2 + x**2 + 0*x**2) + 80*x**3 - 14*x**3 + 15*x - 16*x.\nAnswer: 49*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31324 * 3.82.\nAnswer: 119657.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -112583, -3, -44, -5 in decreasing order.\nAnswer: -3, -5, -44, -112583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14753.47789 - -9.95?\nAnswer: -14743.52789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77084 and 4.\nAnswer: 77084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9425, 18854, 28283, 37712, 47141, 56570?\n\"Answer: 9429*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3 + 2*h**2 + 0 + 21*h - 1\/12*h**4. Give b(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705219 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: b\"What is the lth term of 214, 216, 218?\n\"Answer: 2*l + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - (48 - -41 - -66)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -v - t, 2*v + 163*t - 168*t + 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2)\/(28\/(-58)) - 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 4 = 6*c, 8 = -2*r - 4*c. Suppose r = b, 3*b = 4*n + b - 20. Calculate the highest common factor of 20 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/12 - 0)*(-5 - -44). Let k(n) = -7*n - 2. Let p be k(-4). Calculate the highest common factor of p and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/11*j**2 - 5861888\/11 - 6848\/11*j = 0?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**2 - 24*z**2 - 433 + 437 - 4*z**2. Let n(c) = -390*c**2 + 39. Give 4*n(l) - 39*v(l).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose k - 19 = -0*k. Suppose 5*d + k = 2*d - 5*n, 12 = -b*d - 4*n. Solve 2*f + d*f + l = 20, l - 12 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7599185\/3 or -2533062?\nAnswer: -7599185\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k - 2*k**2 - 2*k + 4*k**2 - 8. Let c(o) = -2*o**2 + 3*o + 9. Let s(v) = 4*c(v) + 5*j(v). Solve s(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15665614 is divided by 2123?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3\/7 + 2988*b**2\/7 - 744012*b\/7 + 61752996\/7 = 0.\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 0.2, -4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 686994389 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146349 by 48783.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208851863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**2 - 6*x + 19*x - 11*x as s*x + b + h*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -10) - 25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/504 and -125\/57384.\nAnswer: 401688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q. Let o(s) = -200*s + 386 + 384 - 1156 + 385. Give o(j(w)).\nAnswer: 1600*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.314021532 - 7.314. What is v rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 3)*(16*g**2 - 17*g**2 + 21*g**3 + 72*g**3) to v*g + r*g**3 + d*g**2 + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26797012 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - ((-2)\/(-13) - 1964846\/338).\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 2008. Let d(t) = -4816*t + 2. Determine d(i(k)).\nAnswer: -9632*k - 9670526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 6*s**3 + 113*s**2 - 113*s**2 + 3*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 28. Suppose 0 = 2*l - 3*l - 9. Let b be p(l). Calculate the remainder when ((-10)\/3)\/(b\/(-204)) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1185)\/948*12\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4215419644 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 574259\/45 - 12763. Let p = 22\/15 + b. Let n = 66 - 196\/3. Put p, -0.5, n in ascending order.\nAnswer: -0.5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(88) - (sqrt(88) + (sqrt(88) - (-3*sqrt(88) + sqrt(88)) - sqrt(88)))))\/(6*(sqrt(8) - -2*sqrt(288))).\nAnswer: -5*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 45. Solve 0 = v + b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.78 + -4.22. Which is the second biggest value? (a) z (b) 4 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 84 - 3\/2*q**2 + 5*q. Let a(z) = -3*z**2. Determine t(a(r)).\nAnswer: 9*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207050 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = -16*z + 5040. Calculate the smallest common multiple of z and 260.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (-612 - 12)\/39\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159486236, 159486235, 159486234?\nAnswer: 159486233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/44 and 23\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 2. Let q(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 + w - 5168. What is -2*q(l) - r(l)?\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5 - 3) + (-1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312 (base 4) in base 2?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1 (c) -4\/3 (d) -2 (e) -1694 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 14398*d + 45763564.\nAnswer: -2*(d - 9586)*(d + 2387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 7730)*(-1)\/(0 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*u - 5 = -11*w, 2*w + 5*u - 5 = 0. Suppose -i - i + 12 = w. Solve c + 20 = i*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x - l, 7 = 3*l - 2. Suppose -5*z + 3*r = -1, -26*z + 11 = -31*z - 3*r. Sort x, 8, z, -5.\nAnswer: -5, x, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/56 and -59\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.25 - 0.95. Let f = 1 + -54. Let m = -211\/4 - f. What is the closest to m in -4, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Let r = -8 + 24. Suppose 0 = -2*t - 2 + r. Solve 3*f = -q*o + 2 + 1, -f = -2*o - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 - 2*c**2 + 1. Let l be (-552)\/115 + 1\/(-5). Let n(t) = -9*t**3 + 5*t**2 - 3. Let m(y) = l*w(y) - 2*n(y). Calculate m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 12*t - 80 = 0. Let f = 11 + -16. What is the fourth smallest value in -1, f, -1\/6, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 6*n + 6*n)*(3 - 2*n - 3) + 1 - 1 + 2*n**2 - n**2 + 7*n**2 + 6*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 15) in base 12?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 149 = 34 + 70. Solve -24 = 8*s - r*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 13) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 8128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871308482.\nAnswer: 2, 11, 39604931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 + 0.20088.\nAnswer: 0.36088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 d, and 1 l when four letters picked without replacement from iddiniidil.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 13 = -10*x, 278 - 213 = -5*x - 5*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 26*w - 1923. What is d(76)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 - 70 = 4*w. Let g be (-5)\/(-15)*9 - 162. Let u = w - g. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*g**2 + 60*g**3 - 4*g**4 - 288 + 72*g**2 - 88*g**2 + 55*g**2 + 65*g**2 + 16*g.\nAnswer: -4*(g - 18)*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21363539196 + -21363539214.999996062. Let u = 19 + j. What is u rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let q = s + -2. Let p = 631 + -631.1. Which is the biggest value? (a) q (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375577*g - 2*c - 7 = -375574*g, -6*c - 26 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - p - 4 = 0, k + 1 = 3*p + 13 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 277038 equal to 277038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Let s be 84\/(-6) + -2 + 3. Let w(b) = b + 13. Let q be w(s). Solve -2*g - u = -q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 12. Let k be g(0). Suppose 0 = 4*v - k - 4. What is the third derivative of 11*y**2 - 27*y**4 + y**2 + 6*y**2 - 4*y**v wrt y?\nAnswer: -744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.81276 rounded to one dp?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 7*w**2 - 6*w + 15. What is n(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 915043 * 0.04.\nAnswer: 36601.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 207*((-2)\/12 + (-56)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/5)*l*(l*l*l\/l**(-7))\/l)\/((l\/((l\/(l**(-6)\/l))\/l)*l)\/l**9) assuming l is positive.\nAnswer: l**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005377 rounded to 6 dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.1059193 to 2 decimal places.\nAnswer: 46.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.0456 hours in milliseconds?\nAnswer: 2548964160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 10) to base 13\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**2 + 1. Let p(i) = -i**2 + 4*i - 2. Let x be p(2). Let o(u) = -x + u**2 + 3 - 1. Calculate o(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*u + 151*u**2 + 27 + 385*u - 200*u to n*u + z + p*u**2 and give p.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15847927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 32 + 16. Let s = 2408\/99 + -248\/11. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)*h*h**(-2)\/h*h)\/(h*h\/(h**(-2\/5)*h)*h)**(2\/3))**(-10) assuming h is positive.\nAnswer: h**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:31 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47\/3 - 16. What is the closest to 5 in 0, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.707 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 3*k + k + (k + 0*k + 0*k)*(4 + 2 - 4) + 3*k - 5*k - 6*k)*(2 + 0 + 0) to a + z*k and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/10 or -11553?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*n, n = -60*k + 58*k + 13. Solve 5 = -n*w - 4*v, -4*v = -4*w + w + 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3 + 27041*u**2 + 243296*u + 216256 = 0.\nAnswer: -27032, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*s = 2190174 - 2173587 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -178. Let p(x) = -15*x + 8. Let w be p(3). Let y = k + w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2828 and -4?\nAnswer: -1.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let o(i) = i + 4. Let h be o(0). Solve -h + r = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = n - 3*a - 4, 7 = 3*n - a. Let m be ((-2220)\/(-110))\/(-3) - -7. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 4472810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 117086630.9 and 0.1521.\nAnswer: 117086631.0521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*t = 3*t - 89071, -b + 2*t = -22273. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -1. Suppose -4*y = 4*t - 1616, -y = 2*t - 290 - 518. Suppose 2*r + h - 188 = -2*h, h + t = 4*r. Calculate the greatest common factor of r and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 8, -0.1, -0.4, 4, 295?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by (42\/(-8))\/(8 + 330\/(-40)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 24. Suppose -2*f - 4*z + 19 = -1, 5*f - 3*z = -u. Suppose 4*w + f*w - 24 = 0. Solve -3*o - 3 = -w*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/703413 and -47\/6.\nAnswer: 1406826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - 4*n + 2. Let t(r) = -3*r**2 - 2*r + 1. Let b(d) = -k(d) + 2*t(d). Let h(i) = -17*i**2. Give h(b(a)).\nAnswer: -68*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 5175.45.\nAnswer: 181140.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (35 - (28 + -59)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 7 + 2. Let i = w - -62. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0844686 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/38420 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 11*o + 5*o - o - 8*o - 47*o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*d**4 + 4236*d**2 - 23*d + 41312608.\nAnswer: 44*d**3 + 8472*d - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/525*165\/44.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(1*sqrt(200)) - (-4 + sqrt(112) + -1))**2.\nAnswer: -39*sqrt(7) + 13147\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268665, 267979, 267293?\nAnswer: 266607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -a - 7*i + 5, 10 = 2*a - 3*i. Suppose -2 - a = -p. Find the common denominator of -58\/5 and p\/(-2)*14\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/561 and 63\/1225598.\nAnswer: 3676794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1696738 years?\nAnswer: 0.01696738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*w**3\/5 - 15368*w**2\/5 + 19778*w\/5 - 4396\/5 = 0. Calculate w.\nAnswer: -1099, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2662832548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*g - 3, 2*g = 2*l + l - 94. Let r be 148\/l + (-2 - (-36)\/21). Let i be r - -4*2*1\/(-4). Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 9, 1\/4, 29, -2\/3, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2496*i - 2496*i - 13*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/19 - 282*i**3\/19 - 1804*i**2\/19 + 10152*i\/19 + 67536\/19 = 0 for i.\nAnswer: -134, -7, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.871mm to nanometers.\nAnswer: 341871000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-12)\/8) + 512. Suppose 3*a - 1410 = -5*q, 3*q + d = 3*a + 1360. What are the prime factors of q?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 8*j**2 - 8*j + 9. Let p be i(7). Suppose 4*v - 3*k = -6 - 1, p*v + 16 = 4*k. What is the second biggest value in v, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 - (-2550)\/(95 - -7)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 9*r + 3. Let v(w) = w**3 - 4*w - 1. Suppose 14 = 4*b - 2. Let q(i) = b*n(i) + 9*v(i). What is the derivative of q(h) wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 6*t)*(3*t**3 + 10*t**3 - 35*t**3).\nAnswer: 132*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 42. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*r + 609*r + 27 + 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -976038 divided by -162673?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-27)*6\/(-5))\/((-59)\/(-295))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhq when four letters picked without replacement from {q: 2, b: 2, h: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001011010000 (base 2) in base 3?\nAnswer: -1002002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 3}. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 42637?\nAnswer: -42643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/192 and -13\/17792.\nAnswer: 53376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23436160.761049 + 29016856.7610534. Let n = f + -5580687. Let y = n + -9. Round y to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -2, 1 in ascending order.\nAnswer: -3, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394 - 22*m**2 - 2*m**2 + m**2 - 1394.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 21, -4*f + 2*u = -1520. Solve -5*y - 388 + f = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**3 - 6*d**2 - 5*d. Let c(s) = -5*s**2 - 8*s**2 - 11*s - 21*s**3 + 6*s**3. Let r(f) = f**3 + 8*f**2 - 6. Let z be r(-8). Give z*c(v) + 13*a(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*sqrt(19) + -3 + ((sqrt(19) - (5 + (sqrt(171) - sqrt(19))) - sqrt(19) - sqrt(19)) + sqrt(304) + -1*sqrt(304))**2 + -5)*1.\nAnswer: 27*sqrt(19) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**4 - 25*v**3 - 21*v**2 - 1. Let j(q) = 2*q**4 - 13*q**3 - 11*q**2 - 1. Let k(z) = 4*b(z) - 7*j(z). Find the third derivative of k(t) wrt t.\nAnswer: -48*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 171040 = -13*u - 4*o, 0 = -4*u + 3*o + 85490. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.2 (b) 5.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a - a - 13*a + 2*a**3 + 4*a in the form z*a**2 + r*a**3 + f + c*a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:02 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - g + 4*i = 42, 0 = -4*g + 3*i - 2*i - 532 + 513 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.46076 millilitres?\nAnswer: 0.07646076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 20. Let m(f) be the second derivative of 0*f**3 - 1\/3*f**4 + 0 + x*f + 0*f**2 + 0*f**5 + 1\/30*f**6. Find the third derivative of m(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 - 4)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.714 - 1.8. Let z = g + 0.08637. What is z rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60861 is divided by 215.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**4 - 3072*o**3 - 37154*o.\nAnswer: -72*o**2 - 18432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140621 is divided by 23435.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537, -6699, -15295, -27319, -42765, -61627, -83899?\nAnswer: -109575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/(-6)) + 14 + 8*84\/96.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crb when three letters picked without replacement from ccpupzcbzpuur?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1172\/9 + -130. Let n be (3 + 5 + -2)\/((-1)\/(-8)). Let l = n - 49. Is l at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 4)\/(1\/2). Let t be (-2 - z\/(-3))*-6. Suppose -2*a = -4*k - 12, t*a = -5*k + 10 + 1. Solve 4*w - g - 12 = 0, 0*g = 2*w - a*g - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4 - 1 + 3 - o. Let h(i) = 2*i - 11. Calculate -6*h(m) - 11*r(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 129884345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31613 and 240697?\nAnswer: 24310397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/9 and 46\/29021.\nAnswer: 261189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n + 15 = 0, 0 = 3*r + 4*n. Let v(x) = 2*x**2 - x - 60. Let q be v(0). Let t be q\/27 + 2 - (-304)\/72. Solve -t*i - r = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {j: 5, q: 2, i: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063847 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-63))\/((-20)\/180)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.13 (b) -1 (c) 29 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000555 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 5*k - 2 - 3*k**2 - 3*k. Let m(r) = -3*r**2 + 5*r - 2. Let a(x) = 3*x. Let b be a(-1). Let d(c) = b*m(c) + 4*v(c). Factor d(s).\nAnswer: -(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32717 (base 10) to base 3.\nAnswer: -1122212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i**2\/11 + 5746*i\/11 + 3010 = 0 for i.\nAnswer: -473, -35\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/9 (b) -8 (c) 3\/7 (d) 1298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*h - 115, -2*j - 13 = -2*h - 63. Suppose i + i - j = 0. Suppose 0 = 2*z - 6 - i. What is the smallest common multiple of 3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -661300510 to the nearest 100000.\nAnswer: -661300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/3)*i)**(4\/19)\/(i\/((i\/(i**1\/i))\/i*i))**(2\/31))\/(i**(2\/7)*i*i*i**6*(i**(-2\/5)\/i)\/(i*(i\/i**5)\/i)) assuming i is positive.\nAnswer: i**(-20597\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 74. Let b = -13 + v. Calculate the remainder when 67 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwj when three letters picked without replacement from woewooowowwewjowoowo?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (97 - 83) + (-18 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 4. Let c be (-2 + (-3 - -7))\/b. Solve 2*a + c = -3*i - 1, 1 = -2*a - i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - d = 2*d - 90, -3*d - 102 = -2*j. What is the remainder when 113 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2729*h - 1149*h + 77420 = 0 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let n = 6 + -2. Suppose 3*d = n*d - 5. Suppose 6 + 24 = -d*h. Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 1019 = -0*b + 1115 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -33. Suppose 0 = 7*u - f - 21. Suppose -u - 6 = -3*r. Solve s + 2*b = 4*s + 25, -s = r*b - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/(-4) + 6\/(-24). Solve -2*w = q - 5*q + 16, c*q = 4*w + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.92664 - 2\nAnswer: -10.92664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 206837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-15) - (14 - 10\/(-50)*-50).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-440)\/(-77) - 2\/(-7). What is the greatest common factor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 + 4*j + 2. Let g be s(-4). Solve g*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 13) + -88 + 95?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + -0.2. Let u = 110 - 122. Is w at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k + 19 - 19)*(-70 + 244 - 123).\nAnswer: 816*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -41*f**3 + 5*f**2 + 17*f - 9. What is the thousands digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuw when three letters picked without replacement from {k: 2, a: 1, b: 1, w: 1, u: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -116, -94, -52, 16, 116, 254, 436?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -14*f**4\/9 + 232*f**3\/3 + 824296*f**2\/9 - 471808*f\/3 - 471680\/9 = 0.\nAnswer: -220, -2\/7, 2, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 769 and 52628053?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(59 - 18 + 63)*((0 + 2 - 1)*(1 - 1 - y) + 4 - 4 - y) as r + q*y and give q.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.0201 take away 820?\nAnswer: -851.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 250 = -3*x, -5*z + 2*x + 625 = -0*x. Let q = 267 - z. Calculate the remainder when q is divided by (49\/(-2))\/((-15)\/30).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let n(q) = -2*q**2 + 0*q**2 - 7*q**2. What is n(o(b))?\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 402333 smaller than -13.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83332 is divided by 833?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n + 19*n + 16*n - 74*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13923?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46708?\nAnswer: 2, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*s + 24, -3*q + 3*s - 7*s + 4 = 0. Is -4 + (3509 - (-2 + q)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 906 (c) 572.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34432 + -34209. Solve l = 2*w + 213 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 6:25 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 6. Suppose l + 4 = -5. Let p(c) = -6*c + 6. Let z be p(l). What is the highest common factor of z and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1\/15*u**6 + 51\/5*u**5 + u + 0*u**3 + 0*u**2 + 7\/2*u**4 + 4. Find the third derivative of r(t) wrt t.\nAnswer: 48*t + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*v = -20, -5*v = 2*j + 396 + 429 - 797 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 2\/3*j**5 + 0*j + 0*j**4 + 0*j**3 + 3\/4*j**6 - 94*j**2. Find the third derivative of h(m) wrt m.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1870 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0. Let d = -2024376\/95 - -21309. Let f = d - -8\/19. What is the second biggest value in 0.4, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose t*a + 6 = 7*a. Find the third derivative of -16*m**3 - 16*m**a - 14*m**2 + 18*m**3 wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 370. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7563786?\nAnswer: 2, 3, 19, 43, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrpxypyprppyryrr. Give prob of picking 3 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) -148\/17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 4}. Give prob of picking 1 o and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136313570*z**2 - 106976437 with respect to z.\nAnswer: -272627140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 22239*o + 13188226.\nAnswer: -(o - 22817)*(o + 578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*i = -498*i + 3078 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/18*1*1. Is 1\/2 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5021, 20086, 45195, 80348, 125545, 180786, 246071?\n\"Answer: 5022*w**2 - w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-2 + sqrt(171) + ((2 + 1 + sqrt(171))**2 - sqrt(171)))*4.\nAnswer: -4269 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 39 + 225 = 0. Suppose -110 = -y*b + 23*b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**3 - 7*n**2 - 9*n + 9. Let b(m) = -3*m**3 + 3*m**2 + 4*m - 4. Let p = 14 - 10. Determine p*z(q) + 9*b(q).\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.049785 and 32.\nAnswer: 1.59312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -217663 (base 8) in base 3?\nAnswer: -10202000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13323320201032 - 0?\nAnswer: 13323320201032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23 + 79 = 37*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23212 - 1023?\nAnswer: -24240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.5863ml in litres?\nAnswer: 0.4175863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -187, -190, -193?\n\"Answer: -3*y - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98645865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18058?\nAnswer: 2, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u - 15. Solve q - 25 = u*g, q - 8 = 4*g + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896875191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 25248*i + 50512.\nAnswer: -4*(i - 6314)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 167 = 5*c, 164 = 3*x + 4*c - 2*c. Let n = -29 + x. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1309803174 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:17 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-7*(64\/(-56) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1260 and 65142.\nAnswer: 651420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38576851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 118*f**2 - f - 1. Let o be v(-1). Suppose -5*c + o = -142. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2953 + -162409\/55. Let d = 4\/55 + k. Determine b so that 4\/11*b**3 + 6\/11*b**4 + 0*b + 0 - d*b**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -103, -154, -205, -256?\n\"Answer: -51*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4133, 3892, 3611, 3290?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-2))\/(2 + 20\/(-8)). Sort -3, 19, 2, d in ascending order.\nAnswer: d, -3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) + (-2*sqrt(325))**2 - (((-2 + sqrt(325))*2 - sqrt(325)) + sqrt(325))**2) + 5.\nAnswer: -7 + 85*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12176895*r**2 - 6657266*r wrt r.\nAnswer: 24353790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200 divided by -334?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -170, -405, -744, -1193, -1758?\n\"Answer: -j**3 - 43*j**2 - j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -4*sqrt(152)*1)\/sqrt(8)*3 - (sqrt(2736)*-2*-1)**2*1.\nAnswer: -10944 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 35 + 61 + -34.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 6:54 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8547 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163\/35 + -34\/7. Put -5, 5, w, -0.5 in increasing order.\nAnswer: -5, -0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 672 = 0. What is the highest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 16) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26293548?\nAnswer: 2, 3, 193, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 4502, 10136, 18024, 28166, 40562?\nAnswer: 55212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))**(-12\/11)*y\/y**(-10)*y**3 assuming y is positive.\nAnswer: y**(106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 - 2910*u**2 - 711459*u - 2799468 = 0 for u.\nAnswer: -483, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 243273619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 24*u + 3*u - 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3014976 or -3014989?\nAnswer: -3014976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511399 is divided by 127484?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3293, -3, -581 in ascending order.\nAnswer: -3293, -581, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 - 52609328*h\/3 + 172983837038224\/3.\nAnswer: 4*(h - 6576166)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*a, 4*u + 3 = -0*u - 3*a - 0 + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 327 + 6?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43*100\/(-30)*(-12)\/40*1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -7. Let h = -1 - -4. Suppose -4*z - 5*t = -10, -z - t + h = -0*z. Sort 1, z, j.\nAnswer: j, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223317961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j - 12239 = -2*a, 0 = a + 3. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*3*-1)\/(sqrt(320)*1))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (152 + -86 + -54).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - j)*(11 - 5 - 2*j - 4).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 + 386*n**2\/7 + 18430*n\/7 - 18818\/7.\nAnswer: 2*(n - 1)*(n + 97)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2 and (6394\/26197)\/(-8 - 4).\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-20) + (-216)\/(-480). Let r be 43\/(-72) - 16\/(-72). Which is the nearest to f? (a) r (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 24 = a. Suppose 2*y - 30*f - 37 = -25*f, 4*f = 4*y - 56. Let k = y + a. Which is smaller: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-61)\/(-2))\/((-4)\/32). Let x = 273 + w. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6341335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8 - 20. Let i(j) = 2*j**2 + 2*j - 1. Let a be i(2). Suppose -r*v - v = 3*p - 42, -p + a = v. Solve 5*o - v = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v + 17 = 6*v + 3*p, 4*v + p = -0*p + 5*p - 140 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21912 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -25608\nAnswer: 25608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(-21*w**3 - 18*w**3 - 1 + 1).\nAnswer: 195*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.77 + 1.12. Let a = -0.15 + 0.1. Let z = d - a. What is the third biggest value in z, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3625131006 + 5?\nAnswer: -3625131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 6368008 + 183*q**3 - 6368008.\nAnswer: 183*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2251, -3\/2, 0.6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -201. Do 4 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67\/4 of a milligram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 10*m. Let b be ((0\/(-2))\/1)\/(50 - 51). Let t be u(b). Suppose 4*f - 8 = -0. Solve -f = -t*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2510 = 5*w - 5*h, -78 = -4*w - 5*h + 1948. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214813507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 6 = 0. Let z(c) = -c + 3*c - 4 + 1. Let u be z(b). Solve 9 - u = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v - 1. Let j(k) = -4*k**2 + 3*k. Give -j(w) - 6*z(w).\nAnswer: -2*w**2 + 3*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbjjzjbznbzzb. What is prob of picking 2 j and 1 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6264120?\nAnswer: 2, 3, 5, 52201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.98316009 + 0.01745991. Let v = -9.84 - -85.84. Let z = v - j. Round z to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 204 = o, 2*o + 3*m - 136 = -478. Suppose 5*t = t - 724. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 9) + (0 - (0 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -227, -339, -451, -563?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f - 54 + 204 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/6 + 19*c\/2 + 90 = 0 for c.\nAnswer: -45, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + -6 - (4 + -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - -1377?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-209) - (-1264)\/176. Calculate the greatest common divisor of a and 8309.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qle when three letters picked without replacement from veeeqeqwweeql.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(468) + 0 - sqrt(156)\/((sqrt(108)*-1)\/sqrt(9))).\nAnswer: -63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - 26 + 43 - 3*s**2 - 18 + 11*s**3 + 12*s**3 - 10*s**3 + (4 - 3 + 0)*(2*s**2 - 2*s**2 - s**3).\nAnswer: 10*s**3 - 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-100)\/8 + 8)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 1.97. Let s = 4 - f. Which is the nearest to -1? (a) s (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 + 6. Let k be 1\/12 + (-3)\/9. Let m = 5 + -3. Which is the nearest to k? (a) m (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 - 80\/(-14). Find the third derivative of 2*f**2 - w*f**3 + 0*f**3 + 0*f**2 + 2*f**3 wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w + 2. Suppose 0 = 3*f - 15*f - 60. Determine d(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 8*o - 6*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00395031701 rounded to six dps?\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450 or 0.12719?\nAnswer: 0.12719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z**3\/6 - 827*z**2\/3 - 379*z\/6 + 1034\/3 = 0. Calculate z.\nAnswer: -47, -44\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 532*t - 2546. Let a(v) = -575*v + 2545. Let z(o) = 6*a(o) + 5*x(o). What is the derivative of z(k) wrt k?\nAnswer: -790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6054.333 litres in millilitres?\nAnswer: 6054333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.165 + 2.975. Let v = -2.79218 + z. Round v to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2331364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/(9\/(-30)). Let x = -0.12 - -0.1. Let s = x + -0.18. Which is the smallest value? (a) 1\/7 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 7. Let c be q(7). Suppose 0*b + b - 620000 = c. Round b to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*a + 2*a**3 + 12*a**2 + 44 - 20 + 2*a**2.\nAnswer: 2*(a + 2)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, 355, 2, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {m: 4, s: 3, e: 3, v: 4}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, k: 1, f: 1, g: 1}. Give prob of picking 1 k and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from bcccb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a*q*z + 47*a*q + 408*q*z + 2*q + 9*z with respect to a.\nAnswer: 5*q*z + 47*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxy when three letters picked without replacement from pprryyyxxipyyyyp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 39. Calculate w(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -79164 = -79372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:06 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(48) - sqrt(192))**2 + ((sqrt(192)*1)**2 - (5 + (sqrt(3) - (sqrt(3) + 0)**2))).\nAnswer: -sqrt(3) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916975, -1833922, -2750869?\nAnswer: -3667816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 13.5. Let g = -2 - -1.2. Let f = j + g. What is f rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l. Let t(r) = -r - 5. Let g be t(6). Let k(y) be the first derivative of 17*y**2\/2 - 940. Determine g*s(v) - 4*k(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137599619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**8\/420 - u**7\/210 + u**6\/360 - u**4\/8 - 2*u**2. Let g(l) be the second derivative of t(l). Solve g(v) = 0.\nAnswer: 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 80. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -506c - a?\nAnswer: -5077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 4*y. Suppose 4*r = -y*l + 108, 4*r + 2*l = -0*l + 104. What is the remainder when 43 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2054 + -2?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13827 is divided by 2053.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -1 + sqrt(45) + -1*sqrt(2205)).\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 5. Let d be 4\/14 - (3 - (-141)\/(-21)). Calculate s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -908703 less than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 878 - 877.8. Which is the smallest value? (a) 0 (b) 7 (c) -3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 - 2*s - 2. Let v be k(-2). Let i = -13 - -17. Suppose 0 = -4*j - 16, v*b - i*j = 34 - 4. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and 3 + -4 - 222\/(-414).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252784603.\nAnswer: 252784603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1392603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 5. Let c be p(-5). Suppose s - 1800000 = -c*s. What is s rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -14. Suppose 20 = 3*z - 4*n - 4, -3*z - 2*n = -j. Sort z, 1, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 25*t**2 + 51*t - 931. What is d(-28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194778277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -139, -147, -115, -43, 69?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3240 - -1052532?\nAnswer: 1100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12376450, -12376453, -12376456, -12376459, -12376462, -12376465?\nAnswer: -12376468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-164)\/(-48))*1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) 10 (d) 5 (e) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - x = -8, -3*w + 5*x - 8 + 24 = 0. Let f be (-205)\/w*(-11 + -2 - -11). Round f to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 + (-46)\/(-11). Let i = -0.48 + -0.52. Which is the second smallest value? (a) i (b) h (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13973 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 12*g - 10. Let r be k(1). Which is the nearest to 0.1? (a) r (b) 0.1 (c) -0.3 (d) -16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.197 minus 10?\nAnswer: -11.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/72 and -20\/25767.\nAnswer: 206136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-28) + (-1)\/8 + (-1364)\/(-2464). Sort -55, d, 7, 0 in ascending order.\nAnswer: -55, 0, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllttltmksskuummusmk. Give prob of sequence ttum.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 483099, 483116, 483159, 483240, 483371, 483564, 483831?\nAnswer: 484184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f - 46*f - 20*f - 33*f in the form c*f + b and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 278, 453, 666, 929, 1254, 1653, 2138?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103007456039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 10\/3*u**3 + 1\/4*u**4 + 3*u - 3 - 15\/2*u**2. List the prime factors of g(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w - 18 = 0. Is 6\/w*(-633)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -98.9.\nAnswer: 102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -20, 1, -3, -1 in increasing order.\nAnswer: -20, -6, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -18*u + 2. Suppose 17*v - 6*v = 858. What is the remainder when m(-1) is divided by (-5)\/(-25) - v\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*t + 2, 4*t + 42 = 34 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from {m: 3, v: 1, c: 7, i: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:16 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) 68\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17853586 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1235847885\/1818928 - -1\/227366. Let p = -1149 + 473. Let a = p + i. Calculate the common denominator of a and 71\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 + 7*u**2 - 10*u + 23. Let c(k) = -11*k**3 - 10*k**2 + 15*k - 34. Let m(g) = 5*c(g) + 8*j(g). List the prime factors of m(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-24))\/(2\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42\/11 + -241\/66. Let j = 9 + -6. Suppose g - 1 = 4*o, j*g = 2*o - 6 - 1. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.081 - 12.581. Let i = 13 + a. Let h = 109 + -109.015. What is the nearest to 0 in h, -0.3, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2. Let n = 15 + -17. Let t(c) = c - 1. What is n*q(u) + 2*t(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -b - 4. Suppose 2*r = b*y + 25, 0*r + 5*y = -2*r - 25. Let n be (-3)\/15*r*1. Solve n = -4*p - 5*f + 10, p + 3*p = 5*f - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 3. Let z = 7 + -4. Determine h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 66 = 0. Let a be 9\/(-36) - 42\/(-8). Suppose 4*o = -z + 2 + 4, -4*o = -a*z + 102. Calculate the smallest common multiple of w and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-10)*(-10)\/(-21). Sort u, -0.3, 1 in increasing order.\nAnswer: u, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*z - z = 252, 2*z + 264 = 2*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 170*v + 172*v = -342, 5*v + 27 = 2*p + 4*v for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-12*y**2 - 1 - 6*y**2 + 6*y**2).\nAnswer: 24*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.76 - 0.76. Let f = 33\/95 + 1\/19. Suppose -7 = 2*u - 1. Which is the closest to u? (a) 0.3 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4993 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192877252?\nAnswer: 2, 193, 433, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2284.111nm?\nAnswer: 0.000002284111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8 - -2) + (8 - (-21 + 30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 + 0*w**4 + (0*w**2 + 2*w**2 + 2*w**2)*(-2*w**2 + 0*w + 0*w) + 2*w**4 + w**4 - 4*w**4 + (3*w**4 + w**4 - 6*w**4)*(75 - 229 + 71).\nAnswer: 159*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4 - 5*j**3\/6 - 5*j**2\/2 - 4*j. Let w(d) = -d**2 + d + 1. Let s(t) = -o(t) - 5*w(t). Let y(x) = 2*x. What is s(y(z))?\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 + 345.03. Let h = q - 0.03. Let p = -12 - -10. What is the nearest to 1 in 3\/8, p, h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v + 22. Let t be d(11). Suppose -3*b - 5*k + 28 = b, t = 5*b - 3*k + 2. Solve b = 2*i + 4*m - 10, 0 = -3*i - m - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**2 + 2*k - 1. Let d be b(1). Let a be 3\/8*d\/(-18). Factor -3*j**3 + 1\/2*j**2 - a - 9\/4*j**4 + j.\nAnswer: -(j + 1)**2*(3*j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y + 2*r - 138, -3*r + 3 = 0. Let m = -57 - -65. Calculate the greatest common divisor of y and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9158, 10939, 12726, 14519?\n\"Answer: 3*v**2 + 1772*v + 7383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l + 5. Let k be d(5). Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231154\/9 + -25684. Sort g, -5\/4, 12, 0.1, 8 in ascending order.\nAnswer: -5\/4, g, 0.1, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15712 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, -5, -355598 in decreasing order.\nAnswer: 4, -1, -3, -5, -355598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-22) assuming z is positive.\nAnswer: z**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1304 = -2*c, -1394 - 1190 = -4*c + 4*x. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 3455324006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 55*q + 3 = 54*q, 2*u + 5*q + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/200 - 3*k**5\/50 + 3*k**4\/10 - 4*k**3\/5 + 228*k**2. Factor r(i).\nAnswer: 3*(i - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/46*(-4122)\/(-2748).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86078808 - -20988808. Round f to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19 take away 29245?\nAnswer: -29246.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 881719*s - 441925.\nAnswer: 881719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + -227. Solve 3 = q*f + k, 3*f - 4*k + 8 + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*v + 4, 0 = q + 2*v - 3*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*s - 570 = 0, -r + 4*s = -s - 285. Suppose -3*n + 3 + 0 = 0. Let c be 155\/r - n\/3. Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336 - 353 - (-44 - 1 - -3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 1184116*y + 1184112.\nAnswer: 4*(y + 1)*(y + 296028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.11 (b) -6\/11 (c) -22.1 (d) 51 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 91?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -571*h + 562*h + 342. Calculate the highest common divisor of 1273 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1430187 and 317059.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose 9*j + 456 - 474 = 0. Differentiate -6 + 8*a + 8 + t - j*a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.13 - -0.13. Let l = -27.7 - -28. What is the second smallest value in h, 0.11, l?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16853 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 794648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1468 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 2. Suppose 0 = 3*y + l - 284. What is the remainder when y is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*z - 5, 5*s + 25 = 4*z + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. Suppose -4 = 3*i - g*i. Let t(z) = -6*z - 15. Let a(o) be the first derivative of o**2\/2 + 2*o + 17. What is i*t(s) + 15*a(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791 is divided by 111.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:02 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2761 - -2435.3. What is r rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/22 and 73\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 62. Let q be j(0). Let z = 66 + q. Suppose -4*s = -s + z*s. Solve 2*b + 16 = -3*v - s*v, 2*b - 5*v = 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-79)*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 972 - 972.1. Which is the nearest to n? (a) -3\/5 (b) 0.2 (c) 8\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-380)\/(-5)*(92\/8 - -3). Let b = 1738 - c. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 114. Let k be ((6\/2)\/(0 + l))\/1. Solve -3 + k = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -5*o**2 + 0*o**5 - 1\/360*o**6 + 0*o**3 + 1\/630*o**7 + 0 + 0*o**4 + 0*o. Find j such that g(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6685 is divided by 159.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*a + 2, 78*t = 82*t - 3*a - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-36 - -24) + 16)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191018139?\nAnswer: 3, 13, 41, 67, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 2 = 63*v + 2*x, 4*x = -3*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -0.2, -105.2, 5, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6534 = 15*p - 26*p. Let s = 1081 - p. List the prime factors of s.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - r = -8, 5*g + 0*r - 19 = -2*r. Suppose -9 = -o - 3*w, -o + 0*o + g*w = 3. Let h = -35 + 34.5. What is the nearest to o in 0, 3\/5, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -0*a + 987. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -0.1. Let a be 3\/(7\/(-28)*6). Sort a, -0.3, x.\nAnswer: a, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17814345 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: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*-5 - 3*(-1*sqrt(77) - sqrt(77)))*4)\/((sqrt(896)*-4)\/(sqrt(8) - sqrt(32)\/(sqrt(16)\/sqrt(4)) - sqrt(8))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0645 + 0.5645. Let d = 0.19 + 0.2. Let i = 0.01 + d. Which is the closest to -1? (a) -1 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 27*p - 45. Let k be n(25). Suppose -16*x = -k*x - 127039. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - 10087.\nAnswer: -10086.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*u - 247*u - 7131 + 5197 - 20594 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93350517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129524, 129498, 129462, 129416, 129360, 129294?\nAnswer: 129218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625300 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i + 113*i = -79*i - 254*i - 12550 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -356. Let y = q + -164. Determine o, given that 2\/9*o**y + 0*o**2 + 0*o + 0*o**4 - 2\/9*o**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7092\/5 smaller than 458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6812711 != -6812711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 594765, 594639, 594513, 594387, 594261, 594135?\n\"Answer: -126*t + 594891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185646182.\nAnswer: 2, 92823091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7 + 2 - 10*d + 0 + 2. Let y(a) = 15*a + 4. Suppose 55 = 26*x - 75. Give x*y(c) + 7*h(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28493 - 18717. Suppose 4607 = 19*a - b. List the prime factors of a.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.071, 0.7, -4\/63?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0\/(-1))\/(-2). Suppose k = p - 5*p. Suppose -16 = -j - p*j. What is the greatest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.03, -3, 0.5, -1\/3, 6.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:25 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 76*b**3 - 124*b**3 - 21 - 142*b**3 + 13*b**3 - 37*b**3.\nAnswer: -214*b**3 - 2*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3387 + -2348. Let q = p + -6257\/6. Put 0.4, 2, q in descending order.\nAnswer: 2, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-12 - (-8 - -13) - (3 - 11 - -2))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-322)\/28)\/((-1)\/(-1))*40\/((-40)\/(-2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/13)\/q)**(-26) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 13248410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3156)\/1315)\/((-4)\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*48\/2800*(-7)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720, 653, 582, 507, 428?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 64 = 2*l, -w - 107 = -3*l - 3*w. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogwggggsg. What is prob of sequence go?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 16\/3*c**3 + 12 + 0*c**2 + 1\/360*c**6 + 0*c + 1\/12*c**4 + 0*c**5. Let t(i) be the third derivative of p(i). What is t(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5856 and 455128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3165 + 5420. Suppose m = -3*w + q, -3*m = 4*w - 3*w - 757. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 2331, 3446, 4539, 5604, 6635, 7626?\nAnswer: 8571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -672*u**2 + 4083*u - 18. Determine k(6).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8534159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-1417)\/520*-8 - ((-52)\/10 - 5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45697311505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 12:53 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 9*h + 21. Calculate w(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 48267 = 2*h, -810*j = -2*h - 805*j + 48287. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.65901 and -28?\nAnswer: -18.45228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394390661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19656 times -0.3657?\nAnswer: 7188.1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22656 and 0.02.\nAnswer: -22655.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288) - (sqrt(288) + sqrt(288) + -4)*-1 - (sqrt(288) - (-1 + sqrt(288)))*1)**2*2.\nAnswer: -3600*sqrt(2) + 26170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1990194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 1555010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1bb23 (base 13) to base 5\nAnswer: 3221431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**3 + 21*f**2 + 86*f. Calculate the remainder when c(-4) is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-186)\/(-310).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(152)*-1 - sqrt(152))*-5)\/(sqrt(64)\/sqrt(2)) - (-2 + (-5 + -2*sqrt(1216) + sqrt(19))**2)).\nAnswer: -17192 - 580*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/4)\/(2\/(-8)). Let q be 0\/(-1 + 5 - (-9)\/h). Let u = -3 + 0. Sort -2, 4, u, q in descending order.\nAnswer: 4, q, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:26 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14922*u**3 + 2*u**2 + 11*u - 12. Is o(1) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*d - 1 - 1286*d + 1.\nAnswer: -1011*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -134*l - 91. Let x(d) = -6*d + 172. Let q be x(29). Is 5 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -920, -3703, -8364, -14909, -23344?\nAnswer: -33675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 67*d + 75. Let w be z(-66). Solve 15*t - 18*t = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074118830 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a - 3. Let n be f(2). Let l be (n - 1)\/((-12)\/3 + 6). Solve l = -0*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nonrroornrn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 3485?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.08 (b) 5 (c) -18 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*y - 896 = 1887 + 989 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2105.\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333586.\nAnswer: 2, 11, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04606 to three decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -3*h - 64. Suppose 19*b = 17*b + h. Solve -b*v - 10 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**5)**(33\/2)\/((g*g**(-5)*g**(-2\/11))\/(((g*(g\/(g\/g**(-1\/3)*g)*g)\/g*g*g)\/g)\/(g*g\/(g\/g**(2\/17)*g)))) assuming g is positive.\nAnswer: g**(113797\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*a - 3 = -a, 5*a + 17 = 3*i. Let z = i - -5. Let j(q) = 3*q**3 - 3*q**2 + 16*q**3 - 18*q**3 - 2*q. Determine j(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1 - 9*s + 6 + 8*s + 0*s. Let u(g) = -2*g**2 + g**2 - 32 - 154*g + 0*g**2 + 142*g. Let k be u(-9). Give p(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 233?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1124875*u - 1121745*u + 165890 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11220002111110 (base 3) to base 16.\nAnswer: -27ac29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 + 333.879. What is the closest to 1 in g, 0.4, -0.1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/13)*x**(-2)*x)\/(x**(2\/3))**39 assuming x is positive.\nAnswer: x**(-348\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25087880, 25087873, 25087866, 25087859, 25087852, 25087845?\n\"Answer: -7*v + 25087887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.094 from 7.27671.\nAnswer: 7.37071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 30. Let t be o(-13). Let j(l) = -10*l + 15. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(704) - (sqrt(704)*-2)**2*-6 - ((sqrt(704) + 0)**2 + -3)))*-5.\nAnswer: -81000 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350882246.\nAnswer: 2, 11, 13, 1226861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let y be 1\/2*(1 - -1). Let t(h) = h + 4. Let i(c) = y*t(c) - 4*x(c). Let m(b) be the third derivative of -b**5\/30 - 5*b**2. Determine m(i(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 4:21 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3036718408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 998250 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) 4 (c) 0.2 (d) -0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j - 17. Let g be t(4). Suppose 4 = 2*c - 2. Find the second derivative of 10*k + 3*k**g + 4*k**c - 2*k - k**3 wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.6 + 9.6. Which is the nearest to 0.6? (a) -1\/4 (b) 4 (c) 0.3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 7. Let t = -912 + 921. What is o(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 36*s**3 + 12*s**2 + 144*s.\nAnswer: -3*s*(s - 2)*(s + 2)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913 at least -133933\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 - 1205*l**2 + 106013*l + 328329. Let d(n) = 3*n**3 - 1188*n**2 + 106011*n + 328329. Let j(u) = 4*d(u) - 3*w(u). Find a such that j(a) = 0.\nAnswer: -3, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + -3)**2 + sqrt(13) + (-2*sqrt(130)\/sqrt(10))**2.\nAnswer: -11*sqrt(13) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*l + 144*l + 288 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - n, 0 = n + 2*n + 15. Let l = 340 + -348. Let z be ((-6)\/(-3))\/((-4)\/l) + 2. Solve z = -h*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - (sqrt(931) - (sqrt(931)*2)**2) - (sqrt(19)*2 + 2)).\nAnswer: -3722 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqcq when four letters picked without replacement from {y: 1, q: 1, j: 6, c: 1, p: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)*-1*3 - sqrt(200)\/(sqrt(128) - sqrt(8)))\/(4*sqrt(55)\/(sqrt(11)*-4)))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*n + 667, r - 444 = 4*n + 253. Let i = n + 6911\/40. Find the common denominator of i and -55\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/26)*n**(2\/5)\/n assuming n is positive.\nAnswer: n**(-73\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -0*h - 3*a, 4*a = -h + 17. What is the closest to -14 in 5, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-5120)\/5810 - (-594)\/693)?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000689122 to 5 dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7634*n**3 + 407*n**3 + 162 + 3758*n**3 - 162.\nAnswer: 11799*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19970 and 6355.\nAnswer: 25381870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/2)*g**(-1\/13)*g**12*g**(-8\/5) assuming g is positive.\nAnswer: g**(1667\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4485, -4446, -4407, -4368, -4329, -4290?\nAnswer: -4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 8*f**2 + 14*f - 4. Let n be u(-5). Let h be 16569\/49 + (-2)\/14*n. Suppose 13*a - 15*a + h = 0. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003449 minus -82?\nAnswer: 82.003449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 7 (b) 0 (c) -374 (d) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - s + 133 = -6*h, 4*h = -s - 110. Let q = 145 - h. Calculate the remainder when q is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5 + 6 + 6 + 3*n. Suppose -15*r = -40 - 50. Let d be w(r). Solve -5*p + d = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((7\/6)\/7). Suppose -10*t + 56 = -i*t. Calculate the remainder when 54 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 f, and 1 r when four letters picked without replacement from fprcfvfvf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 9*b - 192. Suppose 2*a + 2*a = -2*x + 62, b = 4*x + 4*a. Let l(o) = o**3 + 4*o**2 + o - 3. Let k be l(-3). Solve -2*c = k*c + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373734443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20300 by 25.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z*h - 5*v = -5*h + 30, -3*v = -5*h + 34. Solve -4*r + h*r = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2172\nAnswer: -1\/724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001581613 rounded to seven dps?\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*a**2 + 61*a**3 + 141*a**2 + 0*a**3 - 51*a**2 wrt a.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000109419 rounded to six dps?\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxjjtcjxcjcx. What is prob of sequence xx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 830*d**2 - 1663*d + 832.\nAnswer: (d - 1)**2*(d + 832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 - g. Let m(i) = 12*i**3 + 31*i**2 - 75*i. What is -2*m(n) + 16*y(n)?\nAnswer: -8*n**3 + 2*n**2 + 134*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(1 + y - 1 + (-4 - 11 + 6)*(2*y + 13 - 13)).\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1304\/39 - -426\/13. Which is the third smallest value? (a) 0.5 (b) -6\/11 (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 34.92, -0.3, -29, 1\/5.\nAnswer: -29, -2\/5, -0.3, 1\/5, 34.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8883*l**3 - 2962*l**3 - 2958*l**3 - 2966*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3012 + -1 - (16\/(-6) - 19\/57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (1 - 0)\/(2\/8) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79285 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 19168, -6 in decreasing order.\nAnswer: 19168, 3, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {f: 2, t: 1, n: 4, w: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3088 divide 653438888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 - (76 + -69)) + 8 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/3)\/(-1) - -1) + 6. Calculate the highest common divisor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - ((9 - 21 - -26) + -14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 12011012015\nAnswer: 12011012016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*(1 - (-7775 + 6)). Let l = 24358862\/285 + f. What is the common denominator of l and 119\/6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 63. Let i = 0.1486188 - -21.8513232. Let v = i + o. Round v to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-20 - -24) + 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -177 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -k - 75, 303*r = -5*k + 308*r - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-6)\/(-36) - (-640)\/6 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:21 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -27*y + 18. Let v(i) = -67*i + 40. Let q(m) = -9*n(m) + 4*v(m). Let l(r) = -51*r - 4. What is 6*l(j) - 13*q(j)?\nAnswer: 19*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.957 + -0.343. Let u = w - -5.3. Which is the nearest to -2\/9? (a) 2 (b) u (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832142163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 40339.9521 minutes?\nAnswer: 4.001979375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2497.9 + -2498. Which is the nearest to 0? (a) 144 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010 (base 2) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 1. Let y(f) be the first derivative of 2\/11*f - 2\/11*f**2 - 3 + 2\/33*f**k. Factor y(j).\nAnswer: 2*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 210661 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -29 + 86 - 24 + d**2 + 17*d. Let l be p(-15). What is the third derivative of -18*j**2 + 22*j**l - 2*j**3 + 11*j**2 - 4*j**3 wrt j?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**8\/6720 + 13*y**5\/30 - 33*y**2. Let k(c) be the third derivative of o(c). Let m(a) = 13*a**2. Give k(m(d)).\nAnswer: -507*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a + 3. Calculate j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.402, -22\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 49, 1, 23 in ascending order.\nAnswer: -2, 1, 23, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73993, -74007, -74005, -73981, -73929, -73843?\n\"Answer: i**3 + 2*i**2 - 27*i - 73969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108*m + 1540 = 1248*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 4, j: 1, k: 1, d: 8}. What is prob of picking 2 g and 1 d?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6859.3*-0.1316\nAnswer: 902.68388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.99 - 0.01. Let r = -45 - -41.2. Let g = r + 4. What is the smallest value in 1, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f**2. Let i(d) be the second derivative of d**3\/3 + 3*d. What is b(i(h))?\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29269321, -117077280, -263423877, -468309112, -731732985, -1053695496, -1434196645?\n\"Answer: -29269319*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 2. Let w(d) = -2*d + d + 5*d - 5*d. Let p(q) = 2*q**3 + 19*q**2 - 7*q - 2. Let a be p(-9). Let x = 140 - a. Give x*w(u) - i(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 5*n = -103*n - 83*n + 19080 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bbd3a - 1?\nAnswer: -bbd3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16\/6*54\/8 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f - 8 = 0. Let o(n) = n**3 + 11*n**2 + 56*n + 480. What is the remainder when o(-10) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 13 = -17. Suppose -5*s + 3 = r, 3*r = 4*r - 3. Suppose -6*w + 4*w - 6 = s. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.97 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 46*d + 34. Let g(t) = 35*t + 35. Let v(h) = -3*f(h) + 4*g(h). Determine v(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-42 - 1 - ((16 + -13 - -12) + -4))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**3)**(-1\/59) assuming p is positive.\nAnswer: p**(3\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**3 - 625*x. Let v(r) = 4*r**2 + 27*r. What is v(a(c))?\nAnswer: 144*c**2 - 162*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -30*g - 21*g + 50*g. Let y(i) = -80*i. Calculate y(u(f)).\nAnswer: 80*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.2, -2\/5, -0.14 in decreasing order.\nAnswer: 0.2, -0.14, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a - 73. Let p be s(4). Let y be (6\/28)\/((-5)\/10). Is p != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/4 - p**4\/8 + 7*p**3\/3 - 34*p**2. What is the tens digit of o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 103, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-7 - 0) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(704)*1.\nAnswer: 5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.51131.\nAnswer: -0.255655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/6 + 8093*i\/6 - 160095 = 0?\nAnswer: -8210, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2330, -6185, -11550, -18425, -26810, -36705, -48110?\nAnswer: -61025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2) - 6\/9. Let v = 12.293 - 12.293. Sort -2\/7, -3\/5, c, v in descending order.\nAnswer: v, -2\/7, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 45*a. Let b(u) = 7*u**2 - 45*u. Let p(l) = 4*b(l) + 5*q(l). What is k in p(k) = 0?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1218, 2470, 3722, 4974, 6226, 7478?\nAnswer: 8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -4. Suppose 0 = w - 0*w - 4. Suppose -4*c + w = t, t + 3*t - 16 = z*c. Solve -4*y + 3*a + c = -8, 5*y + 5*a - 45 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41748795.\nAnswer: 3, 5, 11, 19, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/8, 0.5, -2, -7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 71. Calculate the remainder when 125 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-3\/7)\/(t**(-5)*t*t*t**(-2\/11)*t))\/((t**(2\/9)*t\/(t*t*t**(-3)))\/((t\/t**(-2\/5))\/t**4)) assuming t is positive.\nAnswer: t**(-7664\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let x be 2*(c + (-22)\/4). Let l = x + 11. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20570*m**2 + 1132*m**2 + 19440*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 761897.66 rounded to the nearest 1000?\nAnswer: 762000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808 = -43*m - 87 + 440 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 59042328*h. Let x(j) = -2*j**2. What is x(o(n))?\nAnswer: -6971992991319168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1949866476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 148552984.6 to the nearest ten thousand.\nAnswer: 148550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3\/2 (c) -799 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 11*x + 123. Let u be n(7). Let s(l) = -l**2 - l + 1. Let v(h) = h + 18*h**2 - 16*h**2 + h - 3 + 0. What is u*v(i) - 7*s(i)?\nAnswer: i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/(-176) + 22\/((-3168)\/(-54)). Let t = 265 - 265.3. Let o = -3.74 - -4. Sort 0, t, o, a.\nAnswer: t, a, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k**3 - 4221*k**2 + 5*k - 28. Let d(j) = -8*j**3 - 4223*j**2 + 4*j - 24. Determine -7*d(f) + 6*q(f).\nAnswer: 2*f**3 + 4235*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u**2. Let z be (1 + -2)\/(4 - 3). Let k be m(z). What is the common denominator of (32\/3)\/(k\/6) and -55\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l - 3*l - l - 17 + 3*l. Let d be k(-14). Let r(q) = -5*q - 15. Let c be r(d). Solve c = -2*x - o - 2*o, 4*x - 4*o = 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -24. Suppose -2*y + 4162 = 4*w, 8324 = -c*y + 6*y - 5*w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77150 - -105850. What is v rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395505409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwxvd. Give prob of sequence dx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)*l)\/l**(2\/3)*(l**(2\/9))**(-3\/22))**(-27) assuming l is positive.\nAnswer: l**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3 and -25\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*q - 21775 - 1415 - 4497 = -5212 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1bb?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 619760829*m**2. Let u(l) = l. Determine u(j(f)).\nAnswer: 619760829*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89625 and 750.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(1\/4)*b)\/(((b\/b**(-19))\/b)\/b))\/(b*b**(-8))**38 assuming b is positive.\nAnswer: b**(1003\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -90, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -17. Let z be (t\/(-9))\/(14\/6). Let r = 9 + -5. Sort 1, z, r.\nAnswer: z, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19638669 is divided by 923.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 483, 1085, 1939, 3051, 4427, 6073, 7995?\n\"Answer: u**3 + 117*u**2 - 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79153, -79150, -79147?\n\"Answer: 3*u - 79156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 7*j - 141764232 + 141764232.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*c - 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 - 0.64. Let k be (-106)\/(-1272) - (-100)\/(-48). Which is the closest to 1? (a) 0.9 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422885 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**2 + 2*q - 1. Let i be d(2). Let u = i + 4. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125, -745, -2435, -5729, -11161?\n\"Answer: -89*j**3 - j**2 + 6*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(3 - 0) + 1. Suppose 5*p + w = 37, 2*w = 3*w + m. Suppose q = -2*g, -6*q + 2*q - p = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159858172367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, -4, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(4800\/70)\/(-96)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 2*a - 5*a**2 - a**3 - 3*a**3 - 2*a**3. Let z(r) = 7*r**3 + 6*r**2 - 5*r. Let c(j) = 5*n(j) + 4*z(j). Find the third derivative of c(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187668, -2375331, -3562994?\nAnswer: -4750657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*k - 12, 5*k - 16 = 4*n - 7. Suppose 15 = c + k*z, -4*c + 53 = z - 7. Suppose 0 = 2*m + 1 - 9. What is the remainder when c is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/5 - 26049*r\/5 - 26046\/5 = 0.\nAnswer: -8682, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.243522 decades?\nAnswer: 629.22264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 10*w + 10. Let g be q(-11). List the prime factors of 33 - (4 - 1) - g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3255 and 958055.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - c - 18*g - 93*g = -646, 2*g - 44 + 42 = -5*c + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {x: 8, w: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**5\/20 + 7*t**4\/12 + 5*t**3\/6 + 5*t**2\/2 - t - 2. Let u(m) be the first derivative of p(m). Is 15 a factor of u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -32, -134, -338, -680, -1196, -1922?\nAnswer: -2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -484*n + 95. Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 36 = m - 5, 3*o - 5*m - 83 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12593 = 12595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 - 4*o**2 + o - 6. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -1*sqrt(343)*2 + (2 + sqrt(7) + sqrt(7) + -1 + -2 - sqrt(252)*-2*-6))**2.\nAnswer: 504*sqrt(7) + 49401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3022*c - 104455 = -4343*c - 4977*c - 387865 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 (base 8) in base 7?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1353\/429 - (2\/13)\/1. Solve 0 = -7*f + 3*f + 5*s + 3, -l*f = -3*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3\/9 - (-2918)\/6. Suppose r = m + 8*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2*a**3\/3 - 47*a**2\/4 + 6*a - 839. Let o(w) = 0. Calculate w.\nAnswer: -12, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w**2 + 3*w + 26. Let j(g) = -5*g**2 - g - 9. Let k(z) = -17*j(z) - 6*t(z). Let x = 1 - -1. What is the remainder when k(3) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 471. Suppose 0 = -5*c - x - 163 + 976, 0 = -c - 3*x + k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 w when three letters picked without replacement from wyujccjl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + a + 166 = 192, 3*m = 5*a + 110 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710379944.\nAnswer: 2, 88797493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-46)\/4)\/(55\/22) + 4. Suppose -9 = -2*i - 1. Which is the second biggest value? (a) r (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76\/55 - -54\/55. Which is the nearest to r? (a) -5 (b) -2\/5 (c) -1\/2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*y + 6*y. Let k(v) = -v**3 - 7*v**2 + 5*v - 14. Is 10 a factor of k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b - 4*z + 3768, -3*b + 5*z + 3795 = 0. Is 2\/(b\/(-633) - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 1. Let j(l) = l**2 - l - 1. Give 6*f(s) + 5*j(s).\nAnswer: -s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1356677 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*o + 38*o - 19*o + (-1 + 7 - 4)*(3*o + 0*o - 2*o) - 3*o - 2*o - o.\nAnswer: 171*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/8*(-4 + 6). Let h be (1\/2)\/(c\/(-12)). Let r(g) be the second derivative of -g**3\/3 + 9*g**2\/2 - g. Calculate r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151761433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 6. Give x(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 - 2*o + 1. Let x be g(4). Let s(f) = f**2 + 5*f + 2. Let a be s(-4). What is the units digit of 57\/x*(-6)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*x + 590*x + 426*x = 4930 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10) + (-26)\/(-4). Solve s*m - 35 + 1 = 3*x, -5*m + x = -28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -233131, -233140, -233149, -233158, -233167, -233176?\n\"Answer: -9*d - 233122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -f - 0*f. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10615 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11878 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219594580 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29476 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*u - u + 77 - 174 + 97.\nAnswer: -663*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1145\/5240*(4 + -9)*-1 + -1 and -89\/4.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5*6\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 35\/(-60) - 5280\/(-45). Solve -26*o = i + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 22\/(-3). Suppose 0 = 4*y - o - 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 + -55)\/((-195)\/91).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*x - 27, -3*x + 5*x = j - 15. Let p be (-2)\/(-6) + (-22)\/x. Solve -2*n + 26 = -p*f, 2*n - f - 11 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160481959 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k + 3. Let w(r) = -r - 1. Let a be w(7). Let i(n) = -33*n + 8. Let l(f) = a*x(f) + 3*i(f). Let y(d) = 2*d. Determine y(l(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787*b - 148 = 978 + 661 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 4, o: 6}. What is prob of sequence yw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159132, 159130, 159128, 159126, 159124?\n\"Answer: -2*t + 159134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*j - 31*j + 37*j - 20 + 26 in the form p*j + a and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 - t + 2. Let i(m) = 4*m**2 - m + 1. Give -5*i(n) + 3*j(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -1376.\nAnswer: 11008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 2*w - 50, -15*w + 13*w = -2*k - 26 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-4*4\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16669 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: Which is the third biggest value? (a) -0.3 (b) 63 (c) -16\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 299?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120202222 (base 3) to base 12.\nAnswer: -81945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Suppose 0 = -2*k + 8, -4*k + 16 = -c*b + b. Suppose 6*x + 392 - 380 = 0. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*s**4 + 62*s**5 + 32*s**4 + 8*s**5 - 3*s**5 + 3*s**5 - s**4 + s**4 - 4*s**5 + (0*s**2 - 2*s**2 + s**2)*(0*s**3 + 0*s**3 + 2*s**3).\nAnswer: 64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*f + 5 + 6*f**2 - 53*f - 3*f**2 - 43*f - 3*f**3 + 160*f in the form g*f + d + z*f**2 + y*f**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by -8\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - o + 45 = 5*s, -2*o = 4*s - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14210534 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**7\/168 + 65*o**4\/12 - 88*o. Let f(i) be the third derivative of b(i). Let l(t) = -3*t**2. Determine f(l(s)).\nAnswer: 135*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 7*a - 19*a. Let k be -4 - ((-4 + a - -1) + -3). Let d be (7 - -1)*(4 - -16). What is the highest common divisor of d and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 18. Let p(s) = 5*s**2 + 17*s - 4. Let z be p(-4). Let f be v(z). Solve 4 = f*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1\/4, 3, -3\/2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let f(t) = -2*t. Let r be -2*(-1*2 - (-18)\/4). Determine r*o(a) - 2*f(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 - 180. What is the closest to 8 in 0, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2075*s**3 + 1938*s**2 - 12. Let a(i) = i**3 - i**2 + 2. Let f(j) = -6*a(j) - u(j). What is the third derivative of f(h) wrt h?\nAnswer: 12414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46309807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {n: 1, d: 1, h: 2, r: 2, e: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19*s. Let y(n) be the first derivative of -28*n**2 + 53. What is 17*c(j) - 6*y(j)?\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(684)*-1 + -4 + sqrt(684) - (4 + sqrt(684) + sqrt(684) + (-1*sqrt(684) - sqrt(684)) + -5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 22*d - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 + 13*k**2 + 29*k**2 + 10*k**2.\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/201492 and -181\/1080.\nAnswer: 6044760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-4 + 2 - -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*n = -32 - 63, -4*g = 3*n - 122. What is the second derivative of 15 - 46 - 31*j**2 - j + g*j**2 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 255*i = -260*i + 92, -20 = -5*o + i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -350c - -5?\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/8 - (-3 + -8). Suppose 4 = u*d, -6*g + 5*g + 127 = -5*d. Calculate the least common multiple of 18 and g.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7 - (-9 - -11)*-7) + 15507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 2*w - 5. Let o be c(-4). Let y = 53 + o. Let g = -17 + y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 439 - 92. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxj when four letters picked without replacement from xxjnxxjxxxjjxjxxx.\nAnswer: 11\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2250*b - 15870*b - 5731*b - 9795*b.\nAnswer: -33646*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + h**2 + 2. Suppose -29*r + 11*r + 16*r = 0. Let q be l(r). Solve 0*v + 2*v = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4587a (base 12) to base 4\nAnswer: 112222132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 0.1, -23.73, 3\/4, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13270806*z**3 - 15*z**2 - 130269573*z wrt z.\nAnswer: 79624836*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c - 1188 = -48*c - 11*c. Calculate the greatest common divisor of c and 1764.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let a(n) = 2*n**y + 2 - 3*n**3 + 0*n**2 + 3*n - n**2. Suppose -16*j + 57 + 213 = -151*j. Determine a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = -b, -2*b + 2*y - 5*y = -40. Suppose 3*k = -k + b, 418 = -4*t + 2*k. Let m = 207 + t. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 13*s**2 + 2*s - 19. Let m be x(14). Let h = m + -103. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*k + 5458 = -4228 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 98319.1cm?\nAnswer: 0.983191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184116.\nAnswer: 2, 3, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15483682, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d + 6. Suppose 0 = -4*o + o - 12. Let u be o + 0 - 0\/2. Calculate y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnggadvgggwv. Give prob of sequence agn.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 60 = -3*k - 0*k + 2*s, -172 = 16*k - 2*s + 148 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2802 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5.93 - 0.37\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010111000101100011 + 10010?\nAnswer: -1111010111000101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**2\/2 + 6*v - 1. Let f be z(-4). Suppose 0 = -2*b + 4*p - f, -2*b = -3*p - 2*p + 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*0\/5. Let u(g) be the first derivative of 10\/3*g**3 - 1 + n*g - 7\/3*g**6 - 2*g**2 + 9\/2*g**4 - 2*g**5. Determine h so that u(h) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + k + 4*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/(-3))\/((-86)\/(-24)). Let m = k - 4173\/344. Calculate the common denominator of (10 - (-402)\/(-36)) + -6 - -7 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3117*f - 2590. What is the thousands digit of a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 2*u**2 + 4372 + 2*u**2 + 0*u**2 - 2098 as q*u**2 + n*u + d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 + 0 - d**2 + 8*d - 6. Suppose -5*a = 14 - 39. Let y be p(a). Solve y = 3*w + 4*z, -5*w + 2*z = -0*z + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 4720 - 4801 + 252*g + 2*g**2 - 252*g.\nAnswer: -5*g**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgddhdhhdgdgg. Give prob of picking 2 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -686 + 686 - 11*a**2. Let u(m) = -3*m**2 - 5. Let p(c) = 2*c**2 + 3. Let h(s) = 5*p(s) + 3*u(s). Calculate r(h(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 - 2*k + 5*k - 5. Suppose 5*b + 4*i - 18 = 0, 5*b = 2*i - 0*i + 36. Let p be z(b). Calculate the highest common factor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 + -5) - (0 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 13*y - 1. Is 21 a factor of n(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/27, 7, 0.2, -4\/5 in decreasing order.\nAnswer: 7, 0.2, -2\/27, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520756177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 319686.\nAnswer: 13\/319686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*o**3 + 20*o**3 + 66*o**4 + 66*o**4 - 7*o**4 + 27*o**3 + 48*o**2 to p*o**2 + u*o**3 + w*o + g + j*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:32 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22729.797 rounded to the nearest one hundred?\nAnswer: -22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, 5\/9, -1, -533 in descending order.\nAnswer: 2, 5\/9, -2\/7, -1, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i - 0*i. Let j(b) = 2*b**2 + 6*b - 4. Let z be j(-4). Suppose i*o = -z*g + 132, g - 3*o - 14 = 11. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 2730, -4.\nAnswer: -206, -4, 2730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s - 987 + 934 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*j + 4, -n + 5*j - 8 = 8*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(1053) - ((-1*sqrt(1053) - sqrt(1053)) + sqrt(1053))) + -5 - 5*sqrt(1053)*2) + (sqrt(1872)*-1 - (sqrt(13) - 2*sqrt(1053))))**2.\nAnswer: 670*sqrt(13) + 58377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1183 or 1184?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1728)\/228)\/(240\/(-2280)) + -2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-40) - (-1)\/(-4). What is the second derivative of -15*b**4 + j + 0 - 13*b wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 18*w**3 - 199*w**2 + 8*w + 78. Let o be v(11). What is the highest common divisor of 3042 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 208. What is the closest to w in -2, 4\/13, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 4*z**2 - z + 2. Let d be q(-3). Let o = 90 + d. Solve -40 = -r + 5*r + 5*b, 0 = -o*b - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 smaller than 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -16 - -1*(12 + (-20)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 10251?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076784503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25646, -25647, -25658, -25685, -25734?\n\"Answer: -c**3 + c**2 + 3*c - 25649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.106 + 111. Let n = m + 0.106. Which is the nearest to 1? (a) -3\/2 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 13807897.\nAnswer: -124271073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 91*f + 3304 = 171*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 6*z)*(-421*z - 200*z - 1083*z - 274*z).\nAnswer: -1978*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 3*s - 1. Let c(f) = -37*f**2 - 17*f - 4. Give -6*c(x) + 34*o(x).\nAnswer: 18*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-3 + 2 - 59). Suppose -4*h + w + 90 = -4*g, 0 = 2*h + 2*g - 92. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.01553um to kilometers.\nAnswer: 0.00000009401553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11618*0.2.\nAnswer: -2323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2) + -21 + 33. What is the units digit of (-1242)\/(-6) - c\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26255\/11 + -2385. What is the common denominator of (-4)\/6 - 33\/(-36) and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1813.923 and -3.6.\nAnswer: -1817.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Let b = h - 5. Let i = -4 - b. Put 0, 10, i in ascending order.\nAnswer: i, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/3))**(1\/19)*q**(-6)\/q*q**(2\/7))**(7\/10))**(-6\/23) assuming q is positive.\nAnswer: q**(2686\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a11 (base 13) in base 7?\nAnswer: 256323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + b - 3. Let a be y(3). Suppose -3*j = -a - 6. Suppose -m + j*m - 2 = 0. Solve -r + m = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 7.67\nAnswer: 7.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 8 - 8 + (4*a - a - a)*(-3*a + 0*a + 5*a) + 0*a**2 + 3*a**2 - a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, r: 7}. What is prob of picking 4 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17467486, 34934979, 52402472, 69869965?\n\"Answer: 17467493*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(70) - 1*sqrt(70))\/sqrt(7))\/(sqrt(30)\/sqrt(726)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 20*y**2 - 1 - 2 - 39*y**2.\nAnswer: -19*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*u - 2*f, u = 5*f + 120 - 165 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -4. Let i(k) = -4*k + f*k + 8*k. Let b(j) = j**2. What is b(i(c))?\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 18*g = -126. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 992 by -248.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969250103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1180, 139, 14, 4.\nAnswer: -5, 0, 4, 14, 139, 1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 2*z - 4. Let k be o(-3). Let p(m) = -m**3 - 26*m**2 - 50*m + 32. Let v be p(-24). Calculate the highest common divisor of v and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*d + 3, -2*l - 17*d + 21*d - 14 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 293 - 757 = 0. Suppose -r = -10*l + 4*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 4*p**2 + p**2)*(-1490 + 1474 - 40*p**2 + 201*p**2) + (0*p + 0*p - 3*p**2)*(0*p + 2*p**2 + 0*p) as k + z*p**4 + y*p**3 + h*p**2 + w*p and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (76\/6 - (-6)\/(-9))\/3. Solve -6*d + 4 = -t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 6. Let w(m) = -1. Let a(s) = -p(s) - 2*w(s). Let o = 8 + -3. Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 1 + 1 + 13*q**2 - q + 5*q**4 - 1 - 64*q**2 in the form z + l*q**2 + h*q**4 + d*q + t*q**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 12 + 23 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.027, 0.3, 1\/6, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33100)\/(-3000) - 1*11. Which is the closest to 0.1? (a) -2 (b) 2 (c) -0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1461, -2643, -3689, -4533, -5109, -5351, -5193?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:03 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 77, 105, 155, 233?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 37*i + 28\/3*i**3 - 65\/3*i**4 + 58\/5*i**5 + 0 + 0*i**2 - 14\/15*i**6. Factor y(f).\nAnswer: -4*f*(f - 7)*(f - 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-345)\/(-360) + 141\/(-517) + (-35)\/33.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 1627*t + 10751. Calculate n(226).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 289692655182965 and 0.1.\nAnswer: 289692655182965.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k)\/k)\/(k\/k**(3\/13))*(k*k**(-3)*k)**(-6\/7) assuming k is positive.\nAnswer: k**(99\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let q = 8 - 12. Let r = 22 + -22. Which is the third smallest value? (a) p (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9)*3*2. Let d = 276 - 194. Suppose -3*s = 5*n - 322, -3*n + d = -w*n + 5*s. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + -1 + 15 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27 + 3)\/2)\/(-17 - 1716\/(-104))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 + -205. Calculate the common denominator of (-505)\/4*(v\/35 + -3) and 83\/262.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*-16 + 12 - 7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u - 3. Let b be t(-12). Let v be -3 + 25\/b + 168\/27. What are the prime factors of -12*((-112)\/v)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4956*o + 207875. Calculate b(42).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*m)*(-2*m + 0 + 0) - 2*m**2 + 4*m**2 + 0*m**2 + (-2*m + 4*m - 3*m)*(0 - 5*m + 0).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17\/6)\/(j**33*j*j))\/(j**(-2\/27)*j*j**11) assuming j is positive.\nAnswer: j**(-2687\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/54)\/((-56)\/288)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -282?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, e: 10}. What is prob of sequence yeey?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -91, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 241, 247, 271, 319?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 4*a - 1, -4*z + 3 = 9*a - 10*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*q - 55, -3*m + q = -7*m + 80. Find the common denominator of 27\/10 and m\/(-56) - 328\/480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 36\/337?\nAnswer: 36\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 390\/25*15\/6. Suppose 0 = 5*c + s + 261. Let w = -34 - c. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*o + 2*f, -2*f = 3*o - 8*o - 5. What is the nearest to 18 in 0.3, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22094, 89084, 200740, 357068, 558074, 803764?\nAnswer: 1094144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88673*d**6 - d**5 - 4*d**3 - 6*d**2 - 185806.\nAnswer: 10640760*d**3 - 60*d**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 2. Let j(o) = -8*o - 12. Give j(h) + 5*p(h).\nAnswer: 2*h - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1) + (-2)\/(-13). Let j be ((-9)\/(-18) - (-10)\/(-8))\/3. Which is the second biggest value? (a) j (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13839831 or -13839878?\nAnswer: -13839878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 35. Let u = t - 9. Suppose -o + 2*o - 30 = -3*f, 0 = -5*o. Solve u*h - h = -f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108463 and -8.6.\nAnswer: 932781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/30 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 1, x: 3, u: 4, k: 8}. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6635715, -6635888, -6636057, -6636222?\nAnswer: -6636383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 349 = 3*t + r, 4*t - r - 472 = 0. Suppose -t - 29 = -4*q. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 + i**2 - i + 2. Let a(q) = 52*q**3 + 6*q**2 - 4*q + 8. Calculate a(u) - 4*n(u).\nAnswer: 40*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 3. Let g be (-140)\/(-144) + (-2)\/9. Sort -3\/8, g, y.\nAnswer: -3\/8, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*a**2 + 36*a - 36*a + (1672 + 28*a - 1672)*(a + 5*a - 4*a))*(-1 + a + 1) to the form u*a**2 + c*a**3 + f*a + k and give c.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**3 - 340*t**2 - 100*t.\nAnswer: 5*t*(t - 10)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6*v = v + 4, -2*v = 5*s - 20. Suppose -5*f = s*l - 231, -223 = -5*f - 0*f - 2*l. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73802394, -73802395, -73802396, -73802397, -73802398, -73802399?\n\"Answer: -o - 73802393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 68*k**2 - 36*k - 6306. Determine s(66).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 718*q**5 - 73*q?\nAnswer: 14360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {g: 4, s: 1, e: 1, l: 2, k: 4, h: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 2*k. Suppose -4*p - 3*h = -2*p - 3, 3*p + 5 = k*h. Suppose -2*w = -2*o - 10, -4*w + o = 2 - 10. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1, 150392, -4 in descending order.\nAnswer: 150392, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76777872 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-34)\/b)\/(b*b**(1\/3)))**27 assuming b is positive.\nAnswer: b**(-981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2 - 1\/4*o**4 + 15*o - 1\/2*o**2 + 0*o**3. Let x be j(0). What is the highest common divisor of 60 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {m: 4, r: 2, i: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49644870 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89368 and 7230519673.\nAnswer: 7230430305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8988.523685258 and -4?\nAnswer: 8984.523685258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + sqrt(300) + 0)*3.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -581*h - 2419. What are the prime factors of f(-9)?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111100100 (base 2) in base 4?\nAnswer: -313210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4223*r = 4219*r - 456. Which is bigger: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -13 (c) 3 (d) 9 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -4 - -3 - (-10 + -16)) + -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 5. Let u be g(-6). Let j be (3\/(-1))\/u*3. Let t(o) = -o + 9 - j. Let k(z) = -7*z**2. Calculate t(k(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 8. Suppose -3*x - x + d = 0. Suppose x*n - 3 = 3*n, -5*p = 3*n - 81. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*2\/(-8))\/((-9)\/(-36)). Calculate the remainder when 207 is divided by (-39 - -4)*4*m\/(-6).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 38*x + 2*t - 6, -2*t - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10332?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(5) + (-3*sqrt(15))\/sqrt(5) + 3.\nAnswer: -sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102947641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rek when three letters picked without replacement from {r: 1, k: 16, e: 2}.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(12)\/sqrt(6)*-2 + (-2*sqrt(6))\/sqrt(3) + 2 + 5).\nAnswer: -20*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*2*sqrt(19) - ((0 + sqrt(19))*-3 + (5 + sqrt(19) + 0)**2).\nAnswer: -41 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198417 = -2*j - 17*j. Does j = 10444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2400))\/sqrt(8).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*p + 55*p + 4*s - 32, 0 = -5*p - 4*s + 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2976 + 3012. Calculate the smallest common multiple of 831 and r.\nAnswer: 9972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(60)\/sqrt(2) + (sqrt(30) + sqrt(4320)*-2 + sqrt(4320) + sqrt(30) - sqrt(30)))\/((1*(sqrt(90) - sqrt(90)*2))\/(-2*sqrt(144))).\nAnswer: -96*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -282\/31?\nAnswer: -282\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (573 - 579) + (-2 - 1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -78, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4289a1 (base 14) to base 2\nAnswer: -1000100101110011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42858024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-100)*-8)\/((-2)\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56729020 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 353301.7 years?\nAnswer: 4239620.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let f = -1.4 + l. Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(-2\/7)))**(-2\/11))**(-44))**(-1\/39))**1 assuming d is positive.\nAnswer: d**(16\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 6. Suppose -c + 2*g = 8 + 3, -4*g = 2*c + 14. Calculate v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))**(8\/3))**2 assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = s. Is (-161)\/s - (1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 r when four letters picked without replacement from ghgllghrgd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Solve -4*m + w + 7 = 2, -t*w = -m - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77\/3 - -26. Let i be 4 + (3 - (-138)\/(-20)). Which is the nearest to 0.1? (a) i (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 15505066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*y**2 + 0 - 1 - 7*y + 307*y**2 + 5*y + 9*y**2 to the form p*y + q*y**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 52\/(-5) - 3\/(-5). Let m be 2\/6*0 - -11. Let o = m - k. What is the least common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 121647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 175\/14586 and 83\/2210.\nAnswer: 72930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -15. Let u be (1\/f)\/((-4)\/(-132)). Let l = 12 + u. Is 3 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15)*5\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 39 + 215. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d + 42*d + 0*d + 14*d + 6*d + 8*d + 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7 = -39*i + 34*i, 5*o - 3*i - 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 16 - 91. Let m = z + 21. Let l(u) = u**2 - 8*u + 7. Determine l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.46 - -0.4. Let w = m + -2.94. Let v = -20\/21 + 2\/7. Sort w, v, 0.2 in decreasing order.\nAnswer: 0.2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348 - -715. What are the prime factors of j?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*t - 122. Calculate the highest common divisor of t and 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631330340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*p + 9, -p = -2*k - 3*p + 12. Solve k*z = 4*l - 10 - 8, 3*z + 21 = 5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/7 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and -99\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14563 + -203787\/14. Let n = -37\/7 + t. Factor 0 + 3*c**2 - n*c**4 + 3\/2*c**3 + 0*c.\nAnswer: -3*c**2*(c - 2)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) 0 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.0072, 4, -2\/19, -0.2 in decreasing order.\nAnswer: 4, 1, -0.0072, -2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7033030 is divided by 1172171.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*k = 6, -4*d + 14 - 6 = 4*k. Let f be (4\/21)\/(-5*d\/(-15)). Which is the third biggest value? (a) f (b) -1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117))**2 - 3*(sqrt(13) - (1 + sqrt(13))) - (2*sqrt(208) + -3).\nAnswer: -8*sqrt(13) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 302646?\nAnswer: 302572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34775 + -29757. List the prime factors of u.\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/20 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21.6485 - 158229342\nAnswer: -158229320.3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -10 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -424, -1640, -3668, -6508?\n\"Answer: -406*i**2 + 2*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936146849?\nAnswer: 11, 1093, 77863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4091.12*4.\nAnswer: 16364.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -4, 10, 38, 86, 160?\n\"Answer: s**3 - 2*s**2 + 5*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 2 - 439*l**2 - 230*l**2 + 4*l.\nAnswer: -669*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153.2 + 7.2. Let v = j - 149. Let q = -9.4 + v. Is q at least -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*i = -95*i. Suppose t + 26 = 2*o + 5*t, -3*o + 19 = 2*t. Suppose i = -5*c + o*d + 233, 5*d + 45 + 98 = 3*c. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/38 + -30*19\/(-10830) + 28. Suppose 5*k - 21 = -2*u, 2*k - 5 = -3*u - 1. Solve -k*x + i = -2*j - 0, 5*j - 2*x = -28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.127 to one dp.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01366 + 0.31976. Round k to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 4 + 3 + 5*t. Let l(y) = -y + 3. Let f(i) = l(i) + 3*r(i). Let u(m) be the third derivative of m**5\/30 - 2*m**2. Calculate f(u(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -87, 112, 5 in decreasing order.\nAnswer: 112, 5, 2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. List the prime factors of -2*(-1)\/l*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 451.24 + -1.74. Round r to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 8*h**2 - 8*h - 3. Let v be n(-7). Suppose f = -g - 8, 0 = v*f + 2*g - 8 + 34. Is 10 a factor of (114\/15)\/((-1)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*v - 5*m + 380 = -172*v, -5*v + 5*m + 360 = 0. Which is smaller: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17060 and 100876.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9216356.0361 + 9215896. Let f = n + 0.0361. Let q = f + 455.82. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -0.002.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -346 - -350. Let o(q) be the second derivative of 0 + 0*q**2 + r*q + 0*q**3 - 1\/3*q**4. Let w(n) = -3*n**2. Calculate o(w(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41788509 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 5. Suppose 4*v + t - 29 = 0, -15 = -5*v - 2*t + 5*t. Let r(p) = -p + 6. Let w(j) = v*y(j) - 5*r(j). Let q(z) = -22*z**2. Calculate w(q(b)).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-3 - 2*j + 3) + j - 2*j + 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2598709, -5197415, -7796121?\nAnswer: -10394827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 234292*f + 13723185316.\nAnswer: (f + 117146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**11*z))\/z**(-2\/33))**(-3\/23) assuming z is positive.\nAnswer: z**(361\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**2 - 2*q**6 - 8 + q**2 - 3 + 3*q**5 wrt q.\nAnswer: -240*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 80*p + 2\/35*p**5 - 2\/105*p**6 + 2\/7*p**2 + 0*p**4 - 4\/21*p**3 + 0. Factor l(h).\nAnswer: -4*(h - 1)**3*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -52, -85, -118?\n\"Answer: -33*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 1 - -1) + 148 + -141.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/7)\/(1\/(-7)). Let w be (-2)\/k*8\/(-6). Suppose 15 = -3*g, p = 2*g - g + 1. Put -0.4, p, w in descending order.\nAnswer: w, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-72)*-45)\/((-21)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -108866*h + 112171*h - 1 - 2*h**2 + 2*h**3 + 37*h**4 - 35*h**4 as k*h**4 + z*h + t*h**2 + a*h**3 + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 1341\/13. Which is the closest to 2? (a) -5 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4084 is divided by 456.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + i - 2*i + 49 = 0, 3*i - 57 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - -1000111010?\nAnswer: 1000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31377 + 11939 = 3094*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 4*u + 0*u + (-2 + 0 + 4)*(-2 + 2 - 2)*(10 + 3*u - 10) to c + a*u and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 + 516 + (-3 - -6) + -56?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271 + 28 + 8)*((5*q**2 - 5*q**2 - q**2)*(1 - 2 + 8) + (0 - 1 - 1)*(-2 + 4*q**2 + 2) + q**2 - 3*q + 3*q).\nAnswer: 3290*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129\/26 - 9\/2. Let v = 62.9 - 62.8. Which is the closest to v? (a) -1\/5 (b) 2\/63 (c) y (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446195 and 8809.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -35085, 71, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -201, -208, -219, -234, -253, -276?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 147\/(-15) + 24\/30. Let c be (-10 - w)*(-2)\/(-2). Sort 2\/13, -0.07, c in descending order.\nAnswer: 2\/13, -0.07, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 47. Give f(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2299) + sqrt(2299) + (sqrt(2299)*2)**2 + sqrt(2299) + 5 - sqrt(2299))*4.\nAnswer: 176*sqrt(19) + 73608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -20005?\nAnswer: -20003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12332923 is divided by 2265?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 418207050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {i: 2, d: 1, s: 7, k: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*m**2 + 379*m**2 - 203*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271.\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4540)\/(-1362))\/((4\/(-6))\/((-1)\/(-8))).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56948 divided by 4.\nAnswer: 14237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/5)\/3 - -2. Solve -j + 4*b + 0 = 1, 12 = -2*j - a*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*l**2 + 16 - 3*l + 3*l + 25*l**2 - 20 as g + p*l + a*l**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -115. Let t(j) = 33*j + 11. Let a be t(15). Let r = a + l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1060 + 5621?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48.9867 and 398.\nAnswer: 446.9867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 539, 6256, 21777, 52004, 101839, 176184, 279941, 418012?\n\"Answer: 817*r**3 - 2*r - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = -26*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o - 4. Let j be z(0). Let f(r) = -2 + 5 - 9*r + r. Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*r - 11 = 0, 4*r = z + 59 - 90. Let b(w) = w**2 - 9*w + 4. What is b(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 7*n + 9 = 0, -21288 = -3*b - 4*n. List the prime factors of b.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 8. Let h be 12\/54 - 51674\/v. Suppose -4*x = 12, 3*x = 4*t + 850 - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2.18. Let x = 0.42 - o. Which is the closest to -0.1? (a) x (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 233481.816.\nAnswer: -700445.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/2)\/((-4)\/(-8)). Let d = -7 - u. Solve -3*i - 3*g + 1 - 4 = d, 0 = -5*i + 4*g - 41 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**(-13))))**(-8)\/(d**(-6\/23)\/(d*d**13)) assuming d is positive.\nAnswer: d**(2536\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 757, 1473, 2189, 2905?\n\"Answer: 716*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + v. Let h be i(-2). Let d be ((-75)\/6)\/(-5)*h. Does 12 divide d\/(-10)*10\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10934388 and 4662.\nAnswer: 76540716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 67. Let q(m) = 7*m**2 - m - 349. Give f(q(w)).\nAnswer: -14*w**2 + 2*w + 631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 338407051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-56)*(-2)\/(-4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23*h + 58. Let f(s) = -23*s + 56. Let n = -103 - -106. Let p(k) = n*v(k) - 4*f(k). Differentiate p(c) wrt c.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -286, -343, -400, -457, -514?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -8. Let d(q) = -q**3 + 4*q**2 - 15*q + 4. Let h(b) = -3*b**3 + 8*b**2 - 43*b + 10. Let c(s) = 8*d(s) - 3*h(s). Calculate c(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31994*h**3 - 7317*h**3 + 6808*h**3.\nAnswer: 31485*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 13\/25 (b) 0.2 (c) 6\/365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - 1095 - w**2 - 222*w**4 - 17*w + 1084 + 218*w**4 - w**3 to the form c*w**4 + u + p*w**3 + k*w + m*w**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -243, 3 in decreasing order.\nAnswer: 4, 3, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-7)\/(-2))*0. Solve 5*f - 22 + 2 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6696*43.021\nAnswer: -288068.616","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Add together -0.2 and 0.2561.\nAnswer: 0.0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3122 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1134\/5 + 226. Suppose -3*i = 39 - 27. What is the second smallest value in x, i, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**7\/7 + 349*z**6\/3 + 2*z**5\/5 + 11*z**3\/3 - z**2 - 131*z - 3214. Find the third derivative of y(s) wrt s.\nAnswer: 120*s**3 + 41880*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/(l\/(l*l**(-2))))\/((l**(-3\/2)*l)\/(l*l\/(l*l**(-1)))) assuming l is positive.\nAnswer: l**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - -4*(-4)\/8. What is the lowest common multiple of 1 and 22\/1*3\/u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1986 not equal to -1965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 791503\/264 + -8992\/3. Let d = x + -10\/11. Let l be 8*(430\/(-220) - -2). Is d smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061498 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from lllvhuhlvvhhvlv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10259994 = -3*q, -4*q - 2*o - 3629519 = -17309513. Suppose -5*c + 2*c = q. Round c to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 314. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, t: 2}. Give prob of sequence vt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 3*m**2 - m**2)*(-5 + 4 + 2)*(-86 - 19 - 76).\nAnswer: -362*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 3*z**3 + 0*z**3 - 2*z**3 + 6291*z**2.\nAnswer: -4*z**3 + 6291*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 520, 5, 1, -2 in decreasing order.\nAnswer: 520, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/7, -0.5, 3647, 5 in decreasing order.\nAnswer: 3647, 5, 2\/7, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 258168 < 258168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150971 and 23638?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216199\/17737620 + 93\/11708. Find the common denominator of r and 35\/8.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 + 0.15. Let v = 186 - 241.1. Let t = v - -55. Which is the nearest to q? (a) t (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42855 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/45)\/((-4)\/432). Which is smaller: -14 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3787 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80641018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**2 + 6 + 1\/8*h**4 + 0*h + 0*h**3. Let v(o) be the second derivative of t(o). Let y(b) = b**2. Give v(y(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071629 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -0.39 (b) 2\/7 (c) 6 (d) -6\/7 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -7*v - 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*i + 29*i**3 + 85*i**3 + 27*i - 8*i**3 in the form b*i**2 + v*i**3 + t*i + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*t**2 - 4\/7 + 2\/7*t**3 - 4\/7*t - 1\/7*t**4.\nAnswer: -(t - 2)**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 74*a - 16940. Calculate q(-172).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126512541986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16. Solve 4*y - 2*y + 4 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76961.51 grams in nanograms?\nAnswer: 76961510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -14 (c) 163 (d) 3 (e) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7 = 3*w, 0*d - 4 = d. Solve 0 = -s + w*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*b*h**2 + 8*b*h + 2*b - 2*h**2 - 2 wrt h?\nAnswer: -186*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 - 9*l**2 - 2*l**2 - 11*l**2 + 3*l**2.\nAnswer: -10*l**3 - 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(((-368)\/322)\/(4\/(-350)))\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*f - 2*g + 20, -4*f + 28 = g. Let d(q) = 5 + 2*q - q - 13. Calculate d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 49*u**6\/33 - 56*u**5\/55 + 2*u**4\/11 - 8. Determine m, given that l(m) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-9) + 2\/3. Suppose -10*w**4 - w - j*w**3 + 2*w**2 + 5*w - 13*w**3 - 4*w**2 = 0. Calculate w.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -12?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-10 - 38 - 16)*(-2*h - 2*h + 6*h)*(3 - 6 + 4)*(-1 + 5 - 2) in the form r*h + b and give r.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 19 - 1 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b + 88544 = 9*b + 395904. Is b a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -3855956553005?\nAnswer: 3855956553009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92937, 92784, 92631, 92478, 92325?\nAnswer: 92172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mwwwmmwwmwmw?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6. Suppose f = 2*r - 2 - 0. What is the closest to r in -4, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14 (b) 0.08 (c) 2 (d) 1383 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 26*w - 7368. Let b = -2206 - w. What are the prime factors of b?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31624891303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 - 1 = 0. Suppose u - 2*u = g + 4, 0 = -4*g - i. Suppose w - 8 = -u*w. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 14. Suppose -2*p = p - 4*d - 74, -5*d + 170 = 5*p. Suppose 2*w - 5*x + 18 = -5, -3*x = -3*w - p. Determine y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76219 and 2827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 12*v**4 + 6*v**3 - 12*v**2 - 9*v.\nAnswer: 3*v*(v - 1)*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 28\/16)*4 - -2. Let a(o) = -o**2 - 7*o - 6. Let p be a(-6). Solve p = m + 4*m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiycccz. What is prob of picking 2 z, 1 i, and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = -51. Solve -2*d = -4*q + 3*d - i, -q + 3*d = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21857 (b) 4\/9 (c) 124\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -s + 16, 4*s - 2*y + y = -4. Let u be (-10)\/288*10 + 8\/36. Is u greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/5 and -117\/9306220.\nAnswer: 9306220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -39 and 0.140021135.\nAnswer: -38.859978865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnw when three letters picked without replacement from {l: 4, k: 5, f: 1, n: 3, w: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/3)\/(g**(-5)\/g)*(((g**(7\/3)*g)\/g)\/g*g)\/(g\/g**(2\/11))*((g*g\/(g**(-8)*g))\/g**(-5))**(-7) assuming g is positive.\nAnswer: g**(-999\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1370, 0, 1, -8, -27 in increasing order.\nAnswer: -1370, -27, -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(sqrt(68)*2*3)**2 + 1.\nAnswer: -14687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18112\/91 - -5076\/13. Let v = k + -192. Let m = -1000 - -1997\/2. Which is the third smallest value? (a) m (b) v (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -68*4*46\/32. Let v = 403 + a. What is the smallest value in -0.3, v, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -200?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*o + 72*o - 231*o + 63*o + 19.\nAnswer: -16*o + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**4 + 2*u**5 + (4154 + 188*u**3 - 4154)*(-2*u + 3*u**2 + 2*u).\nAnswer: 566*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d - 4*d + 2*d)*(-2*d - d + 4 + d).\nAnswer: -22*d**2 + 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/7 - 2308906*b**3 - 32652654284448*b**2\/7 + 32652670446792*b\/7 = 0. What is b?\nAnswer: -4040586, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6733 + -6689. Let n = -78 + 171. What is the remainder when n is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n - 171 + 171)*(3 + 0 - 1)*(4*n + 6*n + 7*n).\nAnswer: -408*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 - (6 - (-11 + 5 - -32))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 409*u**6\/40 + 307*u**4\/24 - u**3\/2 + 1747*u**2. What is the second derivative of z(t) wrt t?\nAnswer: 7362*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-11))\/((-1)\/2). Suppose -3*k + n*o + 10 = 0, -3*k - 1 = -2*o - 3. Suppose 0*t - 12 = 4*t. Sort t, k, 3 in descending order.\nAnswer: 3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458679390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16753 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 85726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -1, 1?\n\"Answer: 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccceeucnnceueucuc. Give prob of sequence er.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.52 and 26.6?\nAnswer: 26.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21102004 - 2?\nAnswer: 21102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23778.69ug in kilograms?\nAnswer: 0.00002377869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = 0, -3*w - 14 = -0*w + 4*d. Suppose -w*g - i = 2, 3*i = 6*i - 6. Is -3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -19, 4, 0.42, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2395768 divided by 1197884.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -54299.\nAnswer: 2714.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 16*a - 13. Let u be n(15). Solve 3*i - 2 + 6 = u*r, 2*r + 4*i = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -327\/5. Suppose 2*h = -a + 4, 0 = -2*h + 5*h. Suppose 2\/5*t**5 + 4\/5*t**2 + p*t - 2\/5*t**a - 4\/5*t**3 - 2\/5 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let q(c) = -368*c**2 + 423*c**2 + 4 + 0. Is q(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 26 - 51*k - 12 to the form r*k + f and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483997611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 10111112112?\nAnswer: 10111112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15276095 by 7619.\nAnswer: -2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 43*w**3 + 4*w**2 - 3. Give s(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 8*s = 4*t - 92, -3*s - 38 = -2*t. Let r(u) = t*u**2 - 11*u**2 + 3*u**2 + 29*u**2. Let b(h) = -80*h + h**2 + 80*h. Calculate r(b(z)).\nAnswer: 43*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2489*d**2 - 20*d + 3175. Let g(y) = -2492*y**2 + 16*y - 3176. Let m(c) = -5*g(c) - 4*o(c). Differentiate m(a) with respect to a.\nAnswer: 5008*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 5*f**2 - 16*f - 53. Let x be t(-13). What is x rounded to the nearest one hundred?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*q + 269*q + 135 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 735 = 89*s - 138*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*l**3 + 469*l**2 + 256*l + 36.\nAnswer: (l + 9)*(7*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-160)\/(-9))\/(-8). What is the nearest to h in -2\/3, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*z = -15, -h = 3*z + 11 + 4. Solve f = -h*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 - 54829?\nAnswer: -54917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + c + 14 = -9, 0 = 4*b + c - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1676433*w. Let d(z) = 3*z**2. Give d(m(h)).\nAnswer: 8431282810467*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.101 + 0.001. Let z = m - -2. Let a = z + 0.4. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3718.033 + -3720. Let q = 158.333 - i. Round q to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 6*n - 8. Let t be c(-8). Let p be -4*(-4)\/t + 2. Solve 3*o = f - 7, p*o - 8 = -0*o - 3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -672*z**6 + 47*z**2 + z + 1 wrt z.\nAnswer: -80640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Suppose -10 = -4*j - p. Is 1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -26*v + 46. Let g(t) = -5*t + 9. Determine -11*g(i) + 2*w(i).\nAnswer: 3*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3*z**2\/2 - 3*z + 56. Let b(y) = -9*y - 8. What is -3*b(n) + 8*k(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -433.062913 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/20*((-1472)\/897 - (-68)\/221)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4256 and 678034.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.57 - 2.57. Let r = 258 - w. Which is the fourth biggest value? (a) 0.02 (b) 5 (c) r (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10*450\/(-27). Let d = 25 + z. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24188 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/75*1\/4. Let l(v) be the third derivative of 4*v**2 + q*v**5 - v**3 + 0*v**4 + 0*v + 0. What is the derivative of l(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 117676608?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 + 27982*r**4\/11 - 12722*r**3 + 251914*r**2\/11 - 195940*r\/11 + 55984\/11 = 0.\nAnswer: -13996, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(343) + 1).\nAnswer: 12 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d - 1. Determine o(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -134 - (43 - (-15 - (-43 - 26))).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c13d3 (base 15) to base 3.\nAnswer: -11000020111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125416 minus -0.466?\nAnswer: 125416.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74347317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 165*d**2 - 2*d + 4. Let p be s(-3). Let o = -6015\/4 + p. Find the common denominator of 11\/31 and o.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Suppose 2*n = -h*a + 3*a, n - 8 = -3*a. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from doayodfododadwa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1 - 2\/(-8)). Let j(y) = -8*y + 5 + 2*y + 7*y. Calculate j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/36*6*48465\/(-2872).\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1169906059 to the nearest integer?\nAnswer: 34204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5194 + -5672.8. What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.81 - 356.19. Let f = p - -364.999807. What is f rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-150)\/(-5) + -2 + -4. Let d = -18 - -41. Is d <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 n when three letters picked without replacement from jsjrsjsnpzjsnjjnss?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.5. Let x = 15604 - 62417\/4. What is the third smallest value in 0.05, x, 0, s?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(2 - 2 - 2)*(0 + 4 - 2)*(-4 + 2 + 4)*(-14*q + 9*q + 19*q).\nAnswer: 224*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.124 - 136.876. Let b = h + 156.1. Let w = b + -19.09877. Round w to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.159155 rounded to 2 decimal places?\nAnswer: -107.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 2. Suppose 12*h + 20 + 16 = 0. Determine p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 13*c**2 + 12*c + 3. Let k be q(-12). Sort k, 2, 5 in ascending order.\nAnswer: 2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1045)\/330 - (5\/(-2) + 2). Sort 1\/9, p, -2\/7 in increasing order.\nAnswer: p, -2\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 75*d - 70 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -43. Suppose 0 = -2*x - 2*x + 108. Let h = z - x. Solve 0*a + 2*a - h = -4*l, 3*l = 5*a + 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4, 2\/3, 19, 2, -51?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 159 - 171. Sort 78, -5, q in ascending order.\nAnswer: -5, q, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -156719 (b) 2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057367174 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2093480959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a32 + a7?\nAnswer: 16b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2750808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 33*h + 278. Let q be v(17). Let c(k) = 5*k + 1. Determine c(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 4*g - 288, -4*h - 2*g + 536 = 0. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466*o**2 + 10392*o wrt o?\nAnswer: -932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -16 + 38 + -69 + 45 - 56.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 115 + (-8)\/1*(-1)\/(-2). Suppose -8*r + f = -393. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a + 36 - 7*a - 36 - 10*a - 5*a**2 as s + t*a + m*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -61 + 173. Solve 8*p = p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 699*v**4 + 929*v**2 + 3*v + 3. Let t(u) = 2099*u**4 + 2786*u**2 + 8*u + 8. Let i(l) = -8*d(l) + 3*t(l). What is the third derivative of i(h) wrt h?\nAnswer: 16920*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 105*p + 375. Let i be l(-22). Solve -i = u - 7 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052188?\nAnswer: 2, 263047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/4*(-116)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -437985 or -437986?\nAnswer: -437985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/3 + 7*o**2\/2 - 11*o + 5. Let f be h(-8). Let d be (-2)\/(-4*f\/30). Is -5 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6401 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -990734 = -990734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.198172977 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275.3179 + 0.3179. What is the biggest value in 0.4, d, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7527 and 2316?\nAnswer: 30108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1433 - 1621.2. Let o = 188 + g. Let z = -17 - -49\/3. What is the third biggest value in z, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -20. Let x(b) be the first derivative of b**7\/840 + b**6\/180 - b**4\/12 + 5*b**3\/3 + 4. Let u(n) be the third derivative of x(n). Calculate u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-16)\/(-12) + -2). Suppose o + 23 = k*g, 0 = -0*g - 4*g + 5*o + 37. What is the common denominator of 53\/3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 693.\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + (-15)\/(-6))\/(1\/(-222)) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c - 4*h - 91 = 0, 3*h - 15 = 0. Let j = c + -35. Factor 1\/3*a**j + 2\/3*a + 1\/3.\nAnswer: (a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 0.08. What is the nearest to p in 0.2, 1, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-9\/11))*i*i*i**42)\/(i**18*i**20) assuming i is positive.\nAnswer: i**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.56, -7\/9, -0.1 in increasing order.\nAnswer: -7\/9, -0.1, 1\/5, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(-5 + 5 + 1 + sqrt(147))**2 + 5).\nAnswer: 420*sqrt(3) + 4415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + 6*j - 4*j, 0 = 2*l + 5*j + 17. Let q(m) = -2. Let y(f) = -2*f + 0*f + 11 + f. What is l*y(b) + 22*q(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00775929 rounded to 4 dps?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -153, -125, -77, -3?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-24)*(-6)\/28. Factor -p*c**2 - 8\/7 + 8\/7*c.\nAnswer: -2*(c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 7*k**5\/10 + 17*k**4\/12 + 10*k**3\/3 - 4*k**2 + 221*k. Let r(y) = -5*y**3 - 6*y**2 - 7*y + 3. Give 3*n(p) + 8*r(p).\nAnswer: 2*p**3 + 3*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-120)\/90 - (-64)\/12 - (1 + 3). Solve -9*q + 14*q = -3*y - 2, r = 2*y - q - 16 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10997 - 8918573\/811. Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/(-3))\/((-6)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2688 + 5.268. Let d = -108 + 103. Let s = d + q. Round s to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 31943?\nAnswer: -31941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15940 and 337676945?\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339786?\nAnswer: 2, 3, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1968 and 3.\nAnswer: 2.8032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/11 - 1072*o**4 + 521592*o**3\/11 - 608800*o**2 + 20905600*o\/11 - 1728000 = 0 for o.\nAnswer: -5940, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*r**2 + 2231524*r - 809259971?\nAnswer: -122*r + 2231524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - a5ce8?\nAnswer: -a5d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/30358 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -97*v + 4079. What is f(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.041*22882.8\nAnswer: 938.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 3, -3 in ascending order.\nAnswer: -78, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 9. Let r be s(5). Suppose 0 = 3*g - r - 7. Solve -i + g = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213343998*t**2 + 244420557 with respect to t.\nAnswer: 426687996*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42218, -42295, -42420, -42593?\nAnswer: -42814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-56)\/(-20) - -2. Let p = d - 17\/5. What is the second biggest value in p, -4, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031313 (base 4) to base 11.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Suppose 5*c = 4*b - 47, b = 3*c + 14 + 3. Sort b, s, 5.\nAnswer: s, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*p + 1. Let w(j) = 5*j**3 - j**2 - 13*j + 6. Is w(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = s - 4*s. Suppose -5*x + 12 = u, -s*x + 10 = -0*u + u. Calculate the remainder when 2 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 45) + 43 - (45 + -10 + 7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -76. Find the third derivative of 158*x - 82*x + w*x**5 - 76*x - 15*x**2 wrt x.\nAnswer: 2220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -155, -147?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 247, 260?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q + 3*q + 321 + 130 = 0. Solve -r + 3*v - 8 = 0, 4*r - 5*v + q = -14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16405 - -16404.999979337. Round d to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**3\/6 + 75*f**2\/2 - 2308*f. Let g(t) be the first derivative of t**2\/2 + 4. What is g(b(l))?\nAnswer: l + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140\/(-120) + -17 + (-2)\/(-12). Which is bigger: -91\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 5*f**2 - 3*f**2 + (2*f - 2*f - 3*f)*(-6*f - f - 6*f).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24433386 and 2.7?\nAnswer: -65970142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -214385.137225?\nAnswer: -214396.137225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (4 + 3*-2) - -22. What is the second derivative of -5*w + n*w**4 + 4*w**4 + 18*w wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -50. Suppose o = 2*m + 25. Let t(a) = -3 - 2*a + 2 + 3. Let q(s) = -s + 1. Determine m*t(n) - 13*q(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 980, 6\/17, 0.3, -0.41, 2\/3 in decreasing order.\nAnswer: 980, 2\/3, 6\/17, 0.3, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 2\/7 (c) 118\/5 (d) -3 (e) -1 (f) -3\/7 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 39*x - 38*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(1008\/108))\/((-490)\/28)\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - (-1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/179 (c) 3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2016.0000008612 + -2016. Round y to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 - 4821*r**2\/5 + 104973*r\/5 - 115071.\nAnswer: 3*(r - 1585)*(r - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 25, 66, 133, 232, 369?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -150 (b) -7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -67 + (127 - -14)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123\/86 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381116 is divided by 192.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00273979 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 4. Let j(r) = -6*r + 4. Let h(d) = -3*j(d) + 4*m(d). Let o(v) = -2*v**2 - 8*v + 8*v. Give o(h(f)).\nAnswer: -8*f**2 + 32*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmmmmmtmct. What is prob of picking 2 t, 1 c, and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3004 - -3004. Solve -2*o - w + 3 + 2 = 0, -4*w + 20 = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -41. Calculate the highest common divisor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774466.\nAnswer: 2, 7, 11, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 232010?\nAnswer: -232011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 3:02 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/20 - h**4\/12 + h**3\/6 - 13*h**2. Let v be b(1). What is the biggest value in 2, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6867)\/(-54))\/(-109)*-2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 188*t**2 + 1099*t + 132. Give v(182).\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 97 + 17. Suppose -4*h - 121 = 2*c - 3*c, -164 = 5*h + 3*c. Let y = h - f. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:50 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89 + 0.96. What is the closest to 1 in v, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 3. Suppose -4*f + 32 = 4*f. Let b(r) = 3*r - 10. Determine f*b(z) + 14*m(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 95?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 174. Let j be (o\/(-39))\/(-1) + (-32)\/(-208). Put j, 5, -2 in decreasing order.\nAnswer: 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4136 and 24.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, -12, -3, 0 in decreasing order.\nAnswer: 0, -2, -3, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-23)*v*(v**(-7)\/v)\/v)**4 assuming v is positive.\nAnswer: v**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrzbffbrfb. Give prob of picking 1 f and 1 b.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 324772 - 90025 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/(b**(-28)*b*b*b))*b*(b**(-33)*b)\/b*((b\/(b**(-2\/5)\/b))\/b*b)**(-50) assuming b is positive.\nAnswer: b**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110246 + -516?\nAnswer: -111065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1768 + -1764. What is the second smallest value in -0.07, -176, d, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 0.1 (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318930 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((-8)\/(-56) - (-16)\/(-14)). Solve 36 = 4*b - 4*q, -2*q + j = b + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f - 57*f = 122*f + 250*f + 34529 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -2*k**6\/15 - 337*k**5\/20 + 5*k**4\/3 + k**3\/6 - 2*k + 15. What is the third derivative of h(z) wrt z?\nAnswer: -96*z - 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-x + x - 2*x) - 1914 - 37*x + 1914 + 0*x + 2*x - 4*x + (2 - 4 + 1)*(-2 + 2 - x).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*v**3 - 65*v**3 + 11*v**2 - 82*v**3 - 66*v**3 + 276*v**3.\nAnswer: -4*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389 + 976. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 11*a - 21. Let b be 9\/27*(1 - -20). Let z be o(b). Find the third derivative of -r**2 - 8*r**5 + 5*r**5 + z*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 - 2?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160\/(-195)*(-9)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 14\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 take away 1123731?\nAnswer: -1123738.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azs when three letters picked without replacement from {z: 2, a: 5, s: 1, f: 2, n: 2, e: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 28 - 8 = 0. Suppose l*v - 174 = v. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8610 and 79\/14.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 161055265 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855.603 litres in millilitres?\nAnswer: 3855603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -253\nAnswer: -3\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30981 - 13119. What are the prime factors of j?\nAnswer: 2, 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -28863141.56438?\nAnswer: -28863141.16438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/20)\/(-2))\/(8\/(-40))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 0*z + 0*z + 1. Calculate the remainder when 7 is divided by n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84503760 rounded to the nearest 100000?\nAnswer: -84500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 12, 30, 50, 72?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205302540 to the nearest integer?\nAnswer: 14328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/24 and 8\/295811.\nAnswer: 7099464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 36*t**3 + 21*t + 21. Let m(d) = -7*d**3 - 4*d - 4. Determine 4*c(h) + 21*m(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332172232?\nAnswer: 2, 19, 311, 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21522123 divided by 111.\nAnswer: -193893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 298914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012 + -31130103?\nAnswer: -31122031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j**2 + 3*j - 44. Let x(i) = i**2 + i + 1. Let c = 33 + -32. Let w(f) = c*k(f) - 3*x(f). What is the first derivative of w(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = -1145 - 274. Let c = -125 - n. Calculate the highest common divisor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -14. Factor 10 + g + 21*f + 6 - 3*f**2 + 4*f**2.\nAnswer: (f + 1)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -113*i - 10*i**3 + 0*i**2 - i**2 - 2 + 108*i - 1 + 13*i**3. Calculate v(-3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*h - 475 - 1 = 0. Let f(t) = 6*t**2 + 3*t + 3. Let g(m) = 7*m**2 + 4*m + 4. Calculate h*f(u) - 3*g(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -4166285?\nAnswer: -291639.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965\/2 smaller than 983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -1 - 2 - -532. Suppose -41*m + z = -37*m. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 139*o**2 + 1501*o + 219. What is t(-11)?\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1490690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 4602*y**3 + 326839*y**2 - 939072*y.\nAnswer: -y*(y - 67)*(y - 3)*(y + 4672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-981)\/(-15))\/(-6 - 728\/(-120)). What is the greatest common divisor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5\/4 + 33*m**4\/4 - 45*m**3\/4 - 405*m**2\/4 + 162*m + 243 = 0. Calculate m.\nAnswer: -3, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002159953505 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(11 - 27 - 3).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921312630.\nAnswer: 2, 3, 5, 7, 54163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4)*(-4 + 1). Suppose -4*c = 5*s - 23, 0*s = -3*s + 3*c + a. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-22)\/(-6))*137\/1. Let r = 102 - z. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 4. Let o be w(4). Suppose 2*j + o = 2*a - 0*a, 0 = 2*j - a + 7. Find the common denominator of 33\/2 and (-14)\/49 - j\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 18 - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -206647\/8 smaller than -25832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k + 55*k + 42 = -5*m, 0 = 4*m + 24. Solve -3*d - c + 7 = 0, -k*d - 2*d + 4*c + 23 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5259 - 20.4741. Which is the smallest value? (a) t (b) 80 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16266? (a) 5 (b) -1\/2 (c) -4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6116 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 10. Let v(m) = 2*m - 67. Let t(n) = n - 22. Let y(l) = -7*t(l) + 2*v(l). Let c(s) = -5*d(s) + 3*y(s). What is the derivative of c(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*43218\/252105.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 202?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1612 and -67\/372?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*t + 2 = 0, -3*x - 5*t + 0*t + 3 = 0. Suppose -o + 5*h = 2*o + x, 0 = 4*o + h - 14. Factor 34*a + a**2 + 13*a**2 - 4*a + 8 + 10 + 2*a**o.\nAnswer: 2*(a + 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*g - 4*g + 0*g)*(2 - 2*g - 2)*(2 - 2*g - 2) to the form z + c*g**2 + u*g**3 + x*g and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 176, 646, 1562, 3074?\n\"Answer: 25*p**3 - 2*p**2 + 5*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951670.6 rounded to the nearest ten thousand?\nAnswer: 3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p + 8*p + 9*p - p to k*p + f and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-9)\/(-6))\/(9\/30). Solve 5*v = -0*v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 5.201.\nAnswer: 4.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3473 divided by 23.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 23*v**9\/126 + 2*v**5\/15 - v**4\/12 + 96*v**2 - 1. Find the third derivative of h(l) wrt l.\nAnswer: 11040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 + 258. Find the second derivative of 41*b - 103*b**n + 138*b**3 + 36*b - b**2 + 25*b wrt b.\nAnswer: 210*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3576.9 and 684.399?\nAnswer: 4261.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 37. Let q(f) = 2*f - 39 - 4*f + 42 + 5*f - 3*f**2 + 4*f**2. What is q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -6. Let t = q - -5.6. Which is the closest to t? (a) -1\/7 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/3 + z**3\/6 - 8*z - 9. Let x(t) be the first derivative of y(t). Find the second derivative of x(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110344132 + -6?\nAnswer: -110344141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/18 - -1085*(-2398)\/(-198)?\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 15. What is the smallest common multiple of i and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79\/4503*(-30)\/10\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w*w**(5\/2))\/(w*w\/(w\/(w*(w\/((w\/w**(3\/5))\/w)*w)\/w)))**32 assuming w is positive.\nAnswer: w**(-1127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 22069 = 22525 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 7*c**2 + c**3 - 7*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237098495 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045939 to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - -41. Let h = v - 86. Let a be 1\/(-5)*-4 - 1. Are h and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -296, -273, -222, -143?\n\"Answer: 14*a**2 - 19*a - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4092 + 4108. Solve -40 = b*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/20 + i**4\/12 - 5*i**3\/3 - 795*i**2 - 5047*i. What is the derivative of n(d) wrt d?\nAnswer: -3*d**2 + 2*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34515 - -0.525318?\nAnswer: -34514.474682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 52*b**2 + 59*b + 4. Let x(f) = f**3 - f**2 + 12*f + 1. Determine -d(l) + 4*x(l).\nAnswer: 2*l**3 + 48*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6499 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 24 = 13*y. Let j = -0.16 - -15.16. Let i = 95.8 + -96. What is the closest to j in y, i, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 13. Suppose 17 = 4*q + 57. Is ((-4)\/k)\/((-2)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - v - 44 = 0. What is the second smallest value in v, 1\/4, -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22341 + 17448 = -97*b + 43184 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1394 (c) 1\/5 (d) 2 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - h**2 - 5*h + 5. What is c(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 405071.9cm?\nAnswer: 4050.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 + 7\/(7\/(-3)). Suppose -89 = -3*r + 4*d, -r + 5*d - v = -2*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2815604 and 2815604?\nAnswer: 2815604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.273 take away -2280323?\nAnswer: 2280321.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.235 - -0.255. Which is the nearest to w? (a) 0.3 (b) -0.5 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 - 29791130*l**2 = 0 for l.\nAnswer: 0, 119164520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, -2, -211, -153 in decreasing order.\nAnswer: 4, 3, -2, -4, -153, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1472 and 39029252?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 55256455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Let r(s) = b*s - 7*s - 2*s + 5*s. Let q(p) = p**2. Calculate r(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-12\/7)\/d)\/d)\/d**(1\/11) assuming d is positive.\nAnswer: d**(-216\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + -3) + sqrt(76))**2.\nAnswer: -360*sqrt(19) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -5*x + 2*h - 19, 3*x + 5*h + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:32 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 6*k**2 + 7*k - 9. Suppose 0 = 5*r - 34 + 9. Let x be m(r). Let t be 11 + (-6 - -2) + x. Solve -2*w = -7*i + 2*i - t, -3*w = -3*i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*d + 227 - 2091 - 2267 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.6. Let i be 2*1\/(-21)*3\/3. What is the nearest to -0.1 in o, -2\/11, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5684\/(-87))\/(-49))\/((-5)\/(330\/(-4)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 89 - (-13 + 7 - -8). Let n be ((-10)\/4)\/(t\/(-174)). Solve 0 = 12*p - 11*p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 82 = 4*a, -4*o - 3*a + 133 = -42. Suppose 0 = -3*v + v + f + 68, -v = -5*f - o. What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i + 5*i**2 - 3*i**3 - 33*i + 2*i**3 in the form w*i + m + o*i**2 + x*i**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 533*u + 91 - 180.\nAnswer: -533*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4149751 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a + 2714 + 1333 = -2217 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/2 (b) -0.4 (c) -3499\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -131*h + 3884 - 3748, -3*h + 7*c = 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13550 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*d - 209*d + 549 - 1537 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -196 (b) -2 (c) 11 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1375 - 1380. Suppose 2*a - 2*o + 4*o + 18 = 0, -2*a = -5*o + 18. Put a, x, 3 in increasing order.\nAnswer: a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 65*g**2 - 6 + 7 - 43*g**2. Let b(u) = -2*u**2. What is b(n(j))?\nAnswer: -968*j**4 - 88*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27936045 and 49685?\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16453 + 16453 + 211*g**4)*(4 - 3 + 1).\nAnswer: 422*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (232\/(-16) - -6))*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12.762504 months?\nAnswer: 0.001063542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22473 and 57431?\nAnswer: 516879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + t = -6*a + 1, -4*a + 3*t + 27 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11.4283 or -1\/50?\nAnswer: 11.4283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/15 + 1864*u**4\/15 - 8236*u**3\/5 - 130384*u**2\/15 + 24706*u\/15 + 8568 = 0.\nAnswer: -945, -4, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*(-164)\/615*(-306)\/(-48).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34*-8.984.\nAnswer: 12.03856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 35*h - 195827 - 464917. Is h a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - h = -2*f + 7, 2*f + 3*h = 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17913 by -66.\nAnswer: -5971\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -3)\/((-32)\/(-8)). Let l = -358\/7 + 12123\/238. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52690 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 + 55 - (-2 - 0)) + 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2\/9*x**2 + 2\/9*x**4 + 0*x + 0*x**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:49 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 22*c - 374. Let i be g(17). Suppose i = 2*u - 29696 - 6966. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*y**2 + y**3 - 3*y**3 + 4*y - 7*y - 215*y**2 to the form s*y**3 + d*y + x + q*y**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 15. Let x be 7 - (-5)\/5*-2. Solve -a = -x*y + 4*g + 6, 0 = -2*y + 3*g + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*s - 185 = 0, d + 5*s - 50 = 30. Solve -23*c = -2*c - d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:35 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7272 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41289371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1620, 1668, 1712, 1752, 1788, 1820?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (82 + -1 - 10) - (-31 + 16)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 + 52405*j**2\/3 - 52402*j\/3 - 34936 = 0 for j.\nAnswer: -1, 2, 52404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -828 + 2*h**2 + 828 - 5*h**2. Let k(b) = -103*b**2 + 3*b + 9. Let r(i) = 6693*i**2 - 194*i - 582. Let z(a) = 194*k(a) + 3*r(a). Calculate m(z(l)).\nAnswer: -28227*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.89 - -0.11. Which is the second biggest value? (a) 5 (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -885 + 313?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3935.\nAnswer: 3\/3935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -0.03. Let p = x + -0.2. Is p <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1666 + c - 1651 + c.\nAnswer: 2*c + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 2007*w - 1009*w + 0 - 7 - 317*w to l*w + m and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 + -69. Suppose 24 = i + 4*k, i = 5*i + 5*k - b. Let t = -1 + 15. Calculate the remainder when t is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 116, 29*h - l = -30*h - 117 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**4 + 49*i**3 + 92*i**2 + 50*i - 3. Let y(o) = -12*o**4 - 97*o**3 - 183*o**2 - 98*o + 5. Let c(l) = -5*a(l) - 3*y(l). Let c(f) = 0. What is f?\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1087 + -710. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752743.2 rounded to the nearest one thousand?\nAnswer: -1753000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(3*w + 4*w**2 - 3*w) - 17 - 4*w**2 + 2*w**2 + 20.\nAnswer: 6*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 17 - 57061*v - 47 + 8.\nAnswer: -57061*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q = 61*q - 3*l - 25, q + 3*l + 14 = 0. Is q bigger than -160\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 1:14 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8774388 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-91) + (-596)\/(-26). Suppose -m = s - 5*r, -21 = -3*s - 11*r + 8*r. Solve i - s = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 - 1) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9029868159.\nAnswer: 3, 13, 231535081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 8592*u + 67*u**3 - 8592*u.\nAnswer: 65*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -903652 less than -0.013?\nAnswer: 903651.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - (4 + 9 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 273*n**2 + 50*n - 12*n + 36*n - 9.\nAnswer: 273*n**2 + 66*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 452518941 to the power of 1\/3, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4)*-4)\/((-6)\/15). Let u(q) be the third derivative of -1\/20*q**v + q**2 + 0*q + 0 + 2*q**3 - 3\/8*q**4. Let u(w) = 0. What is w?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773*s**2 + 178*s + 2*s**3 + 773*s**2.\nAnswer: 2*s**3 + 178*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/19)\/q)\/(q\/(q*q**(9\/8)*q)) assuming q is positive.\nAnswer: q**(147\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -60, -80, -118, -180?\n\"Answer: -t**3 - t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 195 = 13*z. Suppose 5*a - 71 - 14 = -5*x, 4*a + z = 3*x. Factor -36*v - x*v**2 - 5*v**3 + 21*v - v**2.\nAnswer: -5*v*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11196 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -7*t. Suppose -5*y = -5*b + 295, -b + 2*y = -t*b - 59. Suppose -2*p + p + 30 = 0. What is the remainder when b is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**3 - 28*x**3 + 307*x**3.\nAnswer: 337*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342630\/(-5355) + (71 - 7)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4837 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {b: 6, g: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (894 + 346 + 1522)*(3 - 3 - r)*(0 - 1 - 2)*(-3*r**2 + r**2 - 2*r**2) + r**3 + 2*r**3 - 5*r**3 to k*r**3 + f*r**2 + i*r + c and give k.\nAnswer: -33146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/31 equal to -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.149233, -3, -5, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*c**4 + 145\/2*c**2 + 0 + 150*c + 33\/4*c**3.\nAnswer: c*(c + 3)*(c + 10)*(c + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0 - 21 + 10 - 4 + 0 + 0 + 2 + (4 - 4 + 2)*(-2 + 1 + 5))*(g - 3*g + 6*g) to t + r*g and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433830, 867679, 1301552, 1735461, 2169418?\nAnswer: 2603435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Suppose f = -3*x + 4*x - 84. Let z be 3\/(-2) - (-150)\/x. Which is the second biggest value? (a) z (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + 0.5. Let r = 1 - c. Let a = r - -0.16. Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3246071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67021 and -237.\nAnswer: 66784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 94. Suppose q + 3 = 5*k, -5*q + 2*k = k - c. Let p = -10 + 9.96. Are p and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 2.2. Put -1\/6, -2\/5, k in ascending order.\nAnswer: k, -2\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.55*13574.57.\nAnswer: 21040.5835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 112, 188, 294, 436, 620?\n\"Answer: b**3 + 6*b**2 + 27*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -155 + (131 - -22) + (-1 - -3) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(28)\/(sqrt(4)*-2) + sqrt(7))*5)**2 + ((sqrt(70) - (sqrt(70) + sqrt(70)*-2*1 + sqrt(70))) + sqrt(70))\/(sqrt(10) - sqrt(360)\/sqrt(4)).\nAnswer: -sqrt(7) + 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 24323*d - 3 = -24321*d, -i = 5*d + 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(3))*-2)**2 - (1*sqrt(768) - sqrt(48) - sqrt(48))**2.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1196 plus 12088030041?\nAnswer: 12088030040.8804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177683 + -88841531\/500. What is the common denominator of -33\/4 and o?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694425957?\nAnswer: 7, 242060851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 215. What is the common denominator of 1\/(-2) - (-204)\/27 and (0 - q\/(-132))*-2?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xannnjnnx. Give prob of picking 2 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 2*m + 4.\nAnswer: -2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*i + 57 - 22, 20 = -4*i. Let b = d + 24. Let a = -5 + 65. What is the greatest common divisor of a and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 3719311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by -6\nAnswer: -187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 + 238. Calculate the smallest common multiple of f and (3 + -27)*2\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*x + 12, -4*y + 9*x + 12 = 12*x - 6*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 10 + 0 - (25 - 6))*49\/(-3)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -44 - 3\/(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.6. Let l = 17712 + -17712. Which is the closest to l? (a) -2 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 3*b)*(-2 + 1 - 1 + 1 + 2 - 2 + (2 - 1 - 3)*(-2 + 3 + 0) - 68 + 130 - 70).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/3, -0.1, -3, -1\/3 in decreasing order.\nAnswer: 5\/3, -0.1, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68*789\/6*1. Let j = h - 26942. Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 925 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1260 + -1246. Solve -k*c - 12 = -11*c - 3*i, i - 16 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) + 2*sqrt(10)\/sqrt(2) + 5.\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 179601 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 k(g) be the second derivative of 1\/12*g**4 - 4\/3*g**3 + 3\/2*g**2 + 2*g + 0. Calculate the common denominator of -33\/2 and k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17*j + 37*j - 6*j. Let h(d) = -d**2 - 2. Let k(c) = -4*c**2 - 7. Let o(v) = -7*h(v) + 2*k(v). Give b(o(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + ((sqrt(300) + sqrt(300)*1 + 1 + sqrt(300))**2 - ((-1 + sqrt(300) - sqrt(300))**2 + -5)))*-6.\nAnswer: -16218 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109278408 to the nearest integer?\nAnswer: 10454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 26. Let n = -125\/4 + q. Let l = 1.045 + -0.045. Which is the closest to 0.1? (a) n (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371*l**3 + 2797*l**2?\nAnswer: -2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose 2*d = y*d. Suppose d = -5*i + 3*t + t + 71, -4*t - 26 = -2*i. Calculate the remainder when 28 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/4 - r**3\/2 - 2*r**2 + 3*r. What are the prime factors of i(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b + 5. Let p = -1 + 4. Let f be 20\/15*-1*p. Calculate l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33909 - 8137. What are the prime factors of c?\nAnswer: 2, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*o**3\/6 - 25*o**2\/6 - 5*o.\nAnswer: 5*o*(o - 1)*(11*o + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-4)\/(-20)). Let v(j) = j**2 + 2*j - 3. Let y be v(t). Suppose -3*q = -y*r + 14, -r + q - 10 = -3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 4566\/275 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5206, 10156, 14914, 19486, 23878, 28096, 32146?\nAnswer: 36034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - f - 3*f + 8 = 0, -4*x + 29 = f. Let k be (3\/x)\/(((-9)\/(-282))\/3). Suppose -53 + k = -3*c. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 688897*l - 688757. Give c(1).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14462 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and -39858537828?\nAnswer: 39858537813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-186860)\/(-90) - (-8)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -253*w + 5 + 131*w + 124*w + 10 in the form x*w + p and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqvl when four letters picked without replacement from {m: 4, c: 2, t: 2, l: 1, q: 5, v: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -15. Let w be (-198)\/(-77) + 6\/r. Suppose 0 = -w*j - 32 - 19. Which is smaller: -16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 691.97368\nAnswer: 1383.94736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*f**2 + 6*f*p**3 + 2*p**3 - 472 wrt f.\nAnswer: -36*f + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 8*a - 7. Let i(h) = -h**2 - h + 1. Let d be -4 + (0\/(-5) - -7). Let y(z) = d*i(z) + f(z). What are the prime factors of y(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 12*g - 59. Calculate b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -5 - (-10 + 17 - -9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 0 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52898.22 rounded to the nearest 10?\nAnswer: 52900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.58 - -32.6. What is the nearest to 0 in u, -2, -12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:15 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/6 + 7*c**3\/3 + 2*c**2 - 22. Calculate the remainder when 63 is divided by g(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*y**3 + 53*m**3*y + 24*m**2*y**3 + 2*m**2*y + 1 wrt y?\nAnswer: -18*m**3*y + 144*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - 2*f - 8. Let n(d) = -4. Let x(a) = i(a) - 3*n(a). Let t(o) = 9*o**2 - 3*o + 5. Calculate -4*t(y) + 5*x(y).\nAnswer: 14*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k + 6 - 19*k - 1 + (-3 + 2 + 3)*(k + k + 0*k) + (-4 + 3 + 0)*(2 - 2 + 2*k) + (2 - 7 + 1)*(-3*k + 2*k + 0*k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-19))\/(a*a\/a**(-3\/7)))\/(a\/a**(9\/2)*a**20) assuming a is positive.\nAnswer: a**(-517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*o + 15015 + 82417 = 0. What are the prime factors of o?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 0) + (1 - -2). Suppose 7*l - c*l = 0. Suppose -4*p + 25 = p. Solve l = -b + 6*b - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Let w be d(1). Suppose 0 = -w*p + 4*p - 3*b - 30, -3*b = p - 54. Suppose 31 - 67 = -6*j. What is the greatest common factor of j and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1977780 and 139\/41550.\nAnswer: 9888900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1769, 7050, 15843, 28142, 43941?\nAnswer: 63234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 390, 678, 982, 1302?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -56, -150, -286?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/161, -6.2, 0.0574?\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*z + 308*z + 2334 = 736*z - 7236 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -32*n**2 + 71*n - 13. Let d be a(2). Let y be (3\/2)\/((-3)\/(-8)). Solve -f + d = y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158915423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 667431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84438 + -28826. List the prime factors of l.\nAnswer: 2, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280 - -268. Let y(q) = q**3 + 11*q**2 - 12*q - 12. Give y(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20121407 is divided by 10147.\nAnswer: 10053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -6a87?\nAnswer: -6a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -323101?\nAnswer: -323100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*275\/165.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqsqoos. Give prob of picking 1 q and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18150 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (1 - -12) + (11 - (-4 + -14))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 14744 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*z + 168, -3*a - 3*z - z = 128. Let x = a + 43. Suppose 2*b + 14 = 3*b. Solve -4*p + b = -2*q, 4*q + 20 = p + x*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(832)*1)\/sqrt(4) + (sqrt(156)*2)\/(sqrt(24)\/sqrt(128)) + 2)**2.\nAnswer: 256*sqrt(13) + 26632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 82 + 68. Let v be (10\/u)\/((-2)\/(-378)). Let d(t) = -t**3 + 6*t**2 + 7. Let b be d(6). What is the greatest common divisor of v and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22275, -42282, -62291, -82302, -102315, -122330?\n\"Answer: -j**2 - 20004*j - 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n)\/((n**5\/n)\/n)*(((n*n**(-1))\/n)\/n)**13 assuming n is positive.\nAnswer: n**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffx when four letters picked without replacement from {j: 1, y: 3, f: 3, x: 2, w: 1, d: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**7\/(f\/(f\/(f*f**(-1))))**30*(f**(-11\/3)*f*f*f**(-2\/17))**(-26) assuming f is positive.\nAnswer: f**(2468\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.64842 months in decades?\nAnswer: 1.6054035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001139 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (531\/(-5310))\/(402\/20)*(-6)\/(-2).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, 1, -2\/7, 69 in descending order.\nAnswer: 69, 2, 1, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*d**2 + 10*d**2 - d - 16 + 5*d**2)*(-8*d + 18*d - 5 - 8*d) in the form k*d + c*d**3 + x + a*d**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3203 + -3189. Which is the fourth biggest value? (a) 1 (b) 3 (c) -0.06 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309592 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0\/(5\/1). Suppose 0*t = -5*t + s + 71, u = -4*t - s + 55. Let o = 19 - t. What is the remainder when 23 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2863405*o*z**2 + 827177*o*z wrt z?\nAnswer: 5726810*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 17.41?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(-2*sqrt(12)))**2 + sqrt(39)\/sqrt(3) + -4.\nAnswer: -3\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 - 6*y + 7. Suppose 3*j + 2*j = 25. What is the remainder when z(7) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5\/4))**(2\/79) assuming v is positive.\nAnswer: v**(9\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.81 - -45.81. Let k = z + -44.5. Which is the nearest to -0.1? (a) 0.01 (b) k (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 8140*r - 32548*r + 8139*r + 8134*r + 8135*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 20 = 5*j, 43 = -6*j - f + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 - 1903959*o + 3807906 = 0. Calculate o.\nAnswer: 2, 634651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4 + (-12556)\/(-3140)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90465, 180926, 271385, 361842, 452297, 542750, 633201?\nAnswer: 723650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1473, -1694, -1915, -2136, -2357?\n\"Answer: -221*p - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmaaaammammmmmaamaa?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526.947 rounded to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 815?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*g - 3781 - 3187 = 2893 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81467617 divided by 11?\nAnswer: -7406147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149111715?\nAnswer: 3, 5, 19, 71, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -71908292 divided by -1\nAnswer: 71908292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3857 and 9366392.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/3))\/((-5109)\/(-6812))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/819 and 20\/6783.\nAnswer: 264537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let w(p) = -37*p + 121. Give x(w(a)).\nAnswer: -2738*a**2 + 17908*a - 29282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27451 is divided by 13723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*g**2\/8 + 7195703*g\/8 - 251013\/4.\nAnswer: (g + 167342)*(43*g - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 32*a - 7. Calculate g(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**2\/2 - 7*n + 3. Let h be z(-9). Suppose -15 = 2*s + s, 2*s + 4 = -2*x. Solve -7 = x*a + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2 - 2 + (0 + 0 - 6)*(4 + 2*x - 4))*(-8*x + 22*x**3 + 8*x + 0*x**3 + 3*x**3 - 2*x**3 + (-x + x + 2*x**2)*(-1 - x + 1)).\nAnswer: -336*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(10)\/sqrt(2))**2 + 3.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 8\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 11441023?\nAnswer: -11441024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*h + 21673 - 21700, -3*h - 13 = -8*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d**3 + 396*d + 495. Let l(z) = 7*z**3 - 99*z - 124. Let w(a) = -2*c(a) - 9*l(a). What is the derivative of w(b) wrt b?\nAnswer: -9*b**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 14 + 10 - 26 - q**4 + 3*q to the form i + r*q**4 + p*q**3 + b*q + o*q**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 13*b**5\/60 - 2*b**3\/3 - 35. Let h(l) be the third derivative of j(l). Let n(z) = z**2. Give h(n(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -447, -1193, -2253, -3633, -5339, -7377?\n\"Answer: -y**3 - 151*y**2 - 286*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o**2. Let s(b) = 40*b - 16*b - 14*b - 15*b. Determine g(s(x)).\nAnswer: -225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1446552225.\nAnswer: 1446552225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1875412.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 19*z + 43*z - 24*z. Let g(b) = -4*b. Determine g(j(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 112*l**2 - 109*l + 127. What is the tens digit of p(57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -95. Let g be (-4 - (-99)\/q) + (-7)\/(-12). Which is the nearest to 8? (a) -0.2 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54022043*d**3 - 48577136*d**2?\nAnswer: 324132258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/8)\/17*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36427.\nAnswer: 73, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9074.\nAnswer: 2, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.582 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrirriyrirrrrrrr. Give prob of picking 2 r and 1 y.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 372*b**2 + 369*b**2 - 741*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325555*r + 325555*r - 367*r**3.\nAnswer: -367*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -120043999647 - -2.5\nAnswer: -120043999644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvveve. Give prob of sequence eev.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 2, q: 4, a: 2, t: 3, o: 2}. What is prob of sequence aotz?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 3}. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - 7674*k**2 + 22007*k - 1 wrt k?\nAnswer: -12*k**2 - 15348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 4, 5, -1, 1, -19 in increasing order.\nAnswer: -19, -1, 1, 4, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2401596\/(-3361176) - (-10)\/14. Is s greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 + 1769*z**2 + 4*z - 8. Let f(h) = -13*h**3 + 1770*h**2 + 5*h - 10. Determine 4*f(u) - 5*t(u).\nAnswer: -2*u**3 - 1765*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let m be q\/6 + (-95)\/(-15). Suppose 5*r + 4 = m*r. Solve 11 = 3*n - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221231 + 3?\nAnswer: 221234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1191 by -23.\nAnswer: -1191\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/(18\/(-24)). Solve 0*t - 2 = -n*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 - 4*k - 2. Let o be l(-3). Let g be ((-4)\/(-2) - 3) + o. Suppose g*r = r - 2. What is the highest common factor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.35961955.\nAnswer: -0.35961955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 57. Calculate the remainder when 61 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404790 minus 1.1?\nAnswer: -2404791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 155*b**2 - 16130*b - 16280.\nAnswer: 5*(b - 44)*(b + 1)*(b + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (12 - 17) - 22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - h**3 - 3*h + (2 - 2 + 2*h**2)*(5*h - h - 3*h) + (h + 0*h + 2*h)*(0*h + 0*h + 2*h**2) to u*h**3 + c + y*h**2 + r*h and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -a?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let k(m) = 14409*m + 45. Let r(x) = -655*x - 2. Let i(q) = -4*k(q) - 90*r(q). Give l(i(o)).\nAnswer: -1314*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (20 - 3\/1). What is the second derivative of -18*x**3 - x - 3*x**4 + r*x**3 wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 7) to base 11\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 776611110*n - 50260401347952675.\nAnswer: -3*(n - 129435185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.294473 seconds?\nAnswer: 7294473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -23 + (-3 + -2 - (0 - -3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 2, d: 1, g: 5, b: 1, r: 1}. Give prob of picking 2 g, 1 b, and 1 d.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/259671 and 31\/857.\nAnswer: 259671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 + 785*a\/2 + 23606 = 0. Calculate a.\nAnswer: -58, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 3*u = -2*a + 2, 8 = -4*u. Let x(w) = -4*w + 13. Let n be x(4). Put 3, a, n in decreasing order.\nAnswer: 3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.127778 + 0.136622. Let s = 0.0556 + j. Let d = s - 25. What is d rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgkkgjwswxww. Give prob of picking 1 k, 1 j, and 1 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + -1 + (-5 - (-330 - -5)) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/3)\/(-4)*96\/(-64)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875668973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-31)\/(-3))\/1 + 1\/(-3). Suppose 4*i + 0 = -2*r + 22, 5*r + i - 28 = 0. Let w be (-7)\/2*-2 + -2. Solve -25 = -g + w*j, f*g + 5 = r*g - j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m + 11. Let g be -4 + (0 + m - -14). Solve -18 = 5*f + g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85.4 - 86. Which is the closest to 0.06? (a) -1\/7 (b) 1 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20*i - 29. Let p be g(-6). Suppose -p*y = -96*y + 1995. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + 15. Suppose 9 = r*p - 71. What is the remainder when 77 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -169. Solve -w = 4*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*h**4 + 21*h**4 + 28*h**4)*(-3*h - 4 - 2 + 6).\nAnswer: -342*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721369 is divided by 9131.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 120a73 (base 13) to base 5\nAnswer: 102231244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/48)\/((-18)\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -898520 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71811900 and 1200.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3529 is divided by 392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let t = 166 - 164. Let u(k) be the third derivative of 4*k**t + 0*k + 0*k**3 + 0 + 1\/24*k**4. What is u(s(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.85616681 + 15?\nAnswer: -79.85616681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2634911206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - t)*(-6*t + 4*t - 16*t) - 12*t**2 + 3*t**2 + 28*t**2.\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -12. Let t be (-14)\/(-4) - 4\/(k\/(-1)). Solve 4*s - 2*g = -t*g - 12, -2*g = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 3. Let y = -0.3 - t. Let i = -0.2 - -0.3. Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 217*u\/2 - 11745\/4.\nAnswer: -(u - 405)*(u - 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 9*z - 145 = 4*z. Sort 915, -1, z in decreasing order.\nAnswer: 915, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 1147*w**2 - 2282*w - 9160.\nAnswer: -(w - 1145)*(w - 4)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2921.1 - -2921. What is the nearest to l in 1, -4\/5, 11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -5377 + 2029. Calculate the remainder when 9389 is divided by w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/(-3)*(-2)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*v = -378, 0 = -4*a - 17*v + 20*v + 306. Calculate the remainder when 3971 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58\/2583 + 44143\/10332. Determine c so that -a*c - 1\/4*c**2 - 15\/2 = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -8, -7, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.7. Let z = -1303\/9 + 145. Which is the nearest to -0.1? (a) z (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60 and 7698\/131 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -911a65 (base 13) to base 8\nAnswer: -14676130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*u, -4 = -0*o + o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.5. Let q = i + 0.2. Put -0.1, -4, q in ascending order.\nAnswer: -4, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 129. Let c be j(13). Let t be 32\/c*(-4)\/(-7). What is the smallest value in -13, -2, t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n, 2*i - 4*n - 3 = -15. Suppose 5*z - 11 = 89. What is the smallest common multiple of i and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-15) + 3219\/185. Let b be ((-4)\/d)\/((-25)\/450). Solve 3*z + 0*z + 9 = -b*l, -5*l + 5*z + 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -26785?\nAnswer: 26781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100120124 (base 5) in base 16?\nAnswer: 6071f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*u**2 - 10*u - 4*u**2 - 148*u**2 + 13*u - 30 - 10 wrt u.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.542 + 0.542. What is the biggest value in q, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111001 + -10?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 2)*(2*v - v + 0*v) + (2 - 1 - 2)*(-v + 34*v - 6*v))*(2 + 2 - 7) to the form g*v + l and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/35029 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337925*b**2*x + b*x + 1368*b + 81*x wrt b?\nAnswer: -675850*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, g: 1, w: 2, m: 2, o: 2}. What is prob of picking 1 l and 1 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 554 = -5*z - 26, -5*z - 568 = -2*s. List the prime factors of s.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a - 1. Let w(h) = -12*h**3 - h**2 - 11*h - 11. Let u(z) = -13*z**3 - z**2 - 12*z - 12. Let d(q) = -5*u(q) + 6*w(q). Determine -6*b(n) + d(n).\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 129. Calculate the remainder when (3 - 0)*y\/(-6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 115058?\nAnswer: 1265638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -23, 2, -2\/11, 5, -3.\nAnswer: -23, -3, -2\/3, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 0.12 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -961, -2114, -3685, -5650, -7985?\nAnswer: -10666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 + 123 + -77 + 0 + 3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807327287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-3))\/((-6)\/83). Suppose 0*a = -5*v - a + 136, -4*v + 108 = a. Let w = l - v. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3319*n - 3083*n - 4311*n + 1608*n - 420*n.\nAnswer: -9525*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - v - 20 = v, -5*q = -3*v - 135. Suppose -11*l + q = 8. Solve -l - 2 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 - 5*j + 8. Let m be c(7). Suppose 2*x = m + 69. Let d be 18\/15*x\/21. Solve -2 + d = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**3\/3 - 3*z**2\/2 - z + 1. Let x be c(2). Sort -2, x, 4.\nAnswer: x, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(475)*-1)**2 - sqrt(475) - (sqrt(171) + -3)).\nAnswer: -8*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011011 - -10?\nAnswer: 1011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 19 + -20 + 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 0.4 (b) -55 (c) -0.0013 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14091, 14254, 14319, 14238, 13963, 13446, 12639?\n\"Answer: -8*o**3 - o**2 + 222*o + 13878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - 3*n)*(-5*n**2 + n**2 + 3*n**2) + 9*n**3 + 0*n**3 + 11*n**3.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18999850.\nAnswer: 2, 5, 379997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 109178 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -2, -8 in decreasing order.\nAnswer: 0, -0.5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3310.6 + 3327.611. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 10*y - 18 + 6*y.\nAnswer: y - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/4)\/504*3?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/33)*j**3*j**(-6)\/(j*j\/((j**3\/j*j)\/j)*j))**(4\/3))**(-2\/3) assuming j is positive.\nAnswer: j**(776\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:11 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 < 4981355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + b + 88 = 0, 16*s + 47 = 15*s + b. Is s equal to -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 33*y - 3. Let w(j) = 165*j - 16. Let z(b) = 11*k(b) - 2*w(b). Let i be z(1). Solve -2*d = 2*d - 4*g - i, 4*d + 4*g = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by 75.\nAnswer: 138\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/4 - 2)*10. Suppose -5*x - 69 = 2*b, 0 = 3*x - 5*x - 2. Let w be 4\/(b\/(-2))*(-16)\/(-4). Solve 4*o - q*o + w = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7278532 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 11 = -3*i, -5*i + 11 = 4*l. Is -1 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.52 - 5.32. Let s = 105 + -110. Which is the nearest to 0? (a) z (b) -5\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74753 (base 11) to base 5\nAnswer: 11434331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 179722 - 179726 - q**2 + 94*q**3 + (4*q**2 - 5*q**2 + 0*q**2)*(-q + 4*q - 5*q) to u*q + n*q**3 + p + l*q**2 and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 7*y**5\/60 + 3*y**4\/8 + 5*y**2. What is the second derivative of u(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2*i - 7*i)*(0*i - 2*i + 0*i)*(3*i - i + 2*i) in the form g*i**3 + a + d*i + r*i**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 3:10 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.2 and 200301.5225.\nAnswer: 200290.3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148897 + 148902. Let o = -3 + 5. Let v be o\/3*33\/6. Which is the third smallest value? (a) v (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2712, -5423, -8134, -10845, -13556, -16267?\nAnswer: -18978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g**5 + 4*g**4 - 4*g**4)*(34 - 23 + 57) + 0 + 0 + 2*g**5)*(-1 + 1 - 1).\nAnswer: 134*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 3*n - 39 = 0, -3*l - 7 = 5*n. What is the units digit of (-266)\/(-30) + l\/45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/6 + 3*f**4\/8 + 10*f**2. What is the second derivative of v(s) wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 161*b**2 + 168*b - 1296. Determine u(160).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -110 (c) 4 (d) -125 (e) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*-4)\/((-19)\/(95\/(-2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 4*b + 6077, -3*b = 3*v + 4557. Let s = -1073 - b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/9, 2\/3, 1, -4.\nAnswer: -4, -3, 4\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*u - 10, -3*u - p + 10 = 4*p. Suppose -q - 11*q - 36 = u. Let h = 0 + 0.4. Which is the closest to -2\/3? (a) h (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609*-310.\nAnswer: 188790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s - 2 = 5*n, -5*n + s + 2 = 0. Let x be (-2)\/1 + n + 2. Suppose 5*c - 29 - 76 = x. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (11 - (2 + 11) - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35061112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/7341207 - -22216939471\/73412070. Let n = -40\/561 + -56897\/187. Let s = i + n. Find the common denominator of 75\/8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1968, 1978, 1992, 2010, 2032, 2058, 2088?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(0*b**2 + 2*b**4 + 0*b**2) + (0*b - 4*b**3 + 0*b)*(-3 - b + 3).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 u when four letters picked without replacement from {u: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -5 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*j**4 + 2*j**3*k - 3*j**3 + 15*j - 10*k wrt j?\nAnswer: -684*j**2 + 12*j*k - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let t be (-22)\/(-77) + (-2)\/7. Let o(l) be the first derivative of t*l - 2 + 1\/2*l**2. What is v(o(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32821664 divided by -11248\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 9*a**2 + 11*a - 28. Give c(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -54*h + 926. Let j(r) = 11*r - 185. Let n(b) = -3*i(b) - 14*j(b). Let q be n(24). Solve -12 = -q*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20835, 166710, 562657, 1333710, 2604903, 4501270, 7147845?\n\"Answer: 20839*k**3 + 2*k**2 - 4*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (5 - 14) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421082, 421095, 421124, 421175, 421254, 421367, 421520?\nAnswer: 421719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c + 0 + (-c - 3 + 3)*(-4 + 3 + 0) - 7*c + 20 - 20)*(2*c**2 - 3*c**2 + 2*c**2) to the form t*c**3 + i*c**2 + o*c + n and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 8 = 19 + 68. Which is the nearest to 77? (a) 4\/9 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - 0. Suppose z*i = 5*i - 39. Let k = -11 + i. Solve 2*l - 6 = 0, 3*v - k = -3*l - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 333369180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205705.5 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xexxxvodovv.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6622*0.19\nAnswer: -1258.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*o**3*p**2 + 5995*o**3 - 67754*o**2 - 3*o*p**2 wrt o.\nAnswer: 378*p**2 + 35970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3 - -5) - 70\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h - 256 = 4*r - 42*h, -2*r = 3*h + 130. Which is bigger: -60 or r?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 + 6. Let n = -9.9 + 10. Let g = n + x. What is the nearest to 1 in g, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 5*q - 3. Let d(y) = -y**2 + 11*y - 22. Let x be d(9). Calculate u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.8. Let m = 677.3 - 677. Let n = -0.3 - -0.3. Put m, i, n, 4\/3 in ascending order.\nAnswer: i, n, m, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -507, -1015, -1525, -2037, -2551, -3067, -3585?\n\"Answer: -v**2 - 505*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 15*f - 3*f - 7*f. Let g be c(2). Is 1478 - (g + -7 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 268. Let t = o + 354. Let z = 134.81 - t. What is z rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - 14092 = y, 0 = w - 2*y - 3523. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(209)\/(sqrt(11)*-3) + sqrt(19) - sqrt(19))**2).\nAnswer: -55\/9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*t**2 + 23*g**2*t - 14*g**2 - 18*g*t**2 - 5*t**3 wrt t?\nAnswer: -2*g**2 - 36*g - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1989*x**4 + 2502*x**2?\nAnswer: 47736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 823*b**4 + 9*b**2 - 8*b + 8. Let d(r) = 206*r**4 + 2*r**2 - 2*r + 2. Let m(k) = -9*d(k) + 2*j(k). Find the second derivative of m(y) wrt y.\nAnswer: -2496*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11344\/264 + 2 + 518\/17094.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/8)\/((-2)\/112). Differentiate -23 + v*n**2 - 3 - 53 - 65*n**2 wrt n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141.6082 - 0.0082. What is d rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(180)*-2 - sqrt(180))\/(sqrt(324) - sqrt(324)*-2) + -4)**2.\nAnswer: 8*sqrt(5)\/3 + 113\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4835684437?\nAnswer: 53, 89, 1025161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1615829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(297))\/(sqrt(396)*-2))**2*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9207627*p**2 - 6595467*p wrt p.\nAnswer: 18415254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 954160 and 298175.\nAnswer: 4770800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 13*z + 475 = 53*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.218 + -0.918. Put t, -7\/2, -12 in descending order.\nAnswer: t, -7\/2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11 + 1 - -12)*(-7)\/(-16). Let q(v) be the first derivative of 13\/16*v**4 + w*v**2 - 7 - 5\/4*v**3 - 1\/4*v - 1\/5*v**5. Factor q(r).\nAnswer: -(r - 1)**3*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/16 and -55\/2519482?\nAnswer: 20155856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*l = -3*a - 15, 3*l = 0. Let w(y) = y - 2. Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*d**4 + 6126878*d**3 + d - 477698857.\nAnswer: 24*d**3 + 18380634*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/42 + 19*h**6\/120 + 19*h**5\/50 + 13*h**4\/30 + 4*h**3\/15 + h**2 + 10*h. Determine d so that y(d) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*b - 460 = 0, 5*u - 7*b - 1126 = -9*b. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**2*o - 599*a**2 - 5918*a*o - a + o wrt a?\nAnswer: -12*o - 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544 - -545. Let h(c) = 2*c**3. Let b be h(1). Put 9, l, b, 4 in increasing order.\nAnswer: l, b, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11\/5, 0.3, 2\/21, 0.07?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6) + sqrt(60)\/sqrt(10)) + (sqrt(204)*4)\/sqrt(12) - (0 + (sqrt(51) - sqrt(1836))\/sqrt(3))*-5)**2.\nAnswer: 28577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -35. Let u be 9\/w*6\/(-9). Solve 3*j + 12 = 0, -u*o - j + 13 = 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -6*s + 15*s. Solve y + 0*y - 8 = 2*l, -4*y = s*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -41*p**2 - 18. Let g(q) = 12*q - 1. Let b(j) = -46*j + 4. Let c(a) = b(a) + 4*g(a). What is u(c(r))?\nAnswer: -164*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.020503 months to years.\nAnswer: 0.66837525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1545)\/(-206)*59\/((-2124)\/480).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 35 = -13*y. Let g be (11 + y)\/(2 + 0). Let f(o) = -11 - 9 - o**g + 20. Let b(t) = -2*t. What is f(b(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1122124500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113162, 452889, 1019116, 1811843, 2831070, 4076797, 5549024?\nAnswer: 7247751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 33. Let y = -14 + 17. Let x(f) = 3*f - 33. Let s(z) = y*x(z) - 4*l(z). Is 2 a factor of s(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6458 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.194 - 80.806. Let z = -81.2 - p. Put -0.4, -3, z in descending order.\nAnswer: z, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 11*h**2 - 13*h + 10. Let m(i) = -6*i**3 - 56*i**2 - 66*i + 51. Let a(y) = 2*m(y) - 11*t(y). Give a(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*w - 5810 = 329*w. Suppose 19*g - 3276 - w = 0. Is 202 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 25*i - 47. Let k = -231 - -218. Let f = 9 + -15. Let n(m) = -13*m + 23. Let o(h) = f*r(h) + k*n(h). Differentiate o(c) with respect to c.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6148?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5960 + 1664 = -4*o. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -82071126.3 from 236.55.\nAnswer: 82071362.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-64)*(-184)\/(-6) - 4. Let g = 5.37 + -4.87. Put -0.4, 148, g, s in decreasing order.\nAnswer: 148, g, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3073652 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 906143 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, -4, 32 in increasing order.\nAnswer: -4, 1, 2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313313131 (base 5) in base 11?\nAnswer: 516991a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 1975 + 1974 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 2*t. Let z(x) = -x**2 + 492*x + 2 - 492*x - 2. Suppose -g + 3 = -3*l + 3*g, 3*l = 3*g. Let h = 0 + l. Give h*z(f) + q(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + -12.2. Let q = 11 + y. Which is the third smallest value? (a) q (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a microgram in nanograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 + 26)*((-10)\/(-15))\/(2\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 5. Let z be ((-4)\/10)\/((-105)\/25 + 4). Let k be x(z). Solve -2*m + m = -k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81928 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 17*q**2 + q - 10. Calculate the lowest common multiple of 12 - 3\/((-15)\/(-25)) and m(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -283.13. Put 0.1, u, -0.03 in decreasing order.\nAnswer: 0.1, -0.03, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 2*v + 50, 3*a = 100*v - 105*v - 11 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (23 - 2)\/(-3) - -3. Let a(q) = -3*q - 10. Let c be a(o). Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 5*a**2)*(-3 + 3 + a) + 89*a**3 - 10*a**3 + 8*a**3 + (-20 + 9 + 8)*(3*a**2 - 2*a**3 - 3*a**2) as w*a**3 + d*a**2 + u*a + s and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.35, -122, -9, 1\/6, -13\/3.\nAnswer: -122, -9, -5, -13\/3, 1\/6, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 + 270. Which is smaller: -57\/23 or r?\nAnswer: -57\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:42 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 0, -5*k + w = -39 + 250. Is (-844)\/(-10) + k\/105 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-4)\/(-3)*(3 + -2). Let k(d) = -d**2 + 8*d - 7. Give k(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9290 by -90.\nAnswer: -929\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136) + -4*sqrt(136)*-2)\/(sqrt(56)\/sqrt(63)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 14*i + 33. Let q be m(16). Suppose 0*w + 21 = 3*w. Suppose 2*a = -q + w. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1675 - 6529442.\nAnswer: -6529442.1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342 - -343. Solve 3*l + 4*u + 0 = k, u = -3*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Let t(b) = 3*b**3 + 5*b**2 - 5*b - 5. Let u be 110\/30 - 2\/3. Let a(c) = -3 - 2*c**3 - 6*c**2 + 6 + 3*c**2 + 3*c. What is h*a(p) + u*t(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-11) + (-105)\/(-33). Let k(c) = -18*c**3 - 2*c**2 + 3*c - 1. Let d be k(p). Let q be (d\/12)\/4*60000. Round q to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 731\/4? (a) 0.2888 (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -0.13113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 757870 (base 10) to base 16\nAnswer: b906e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/11))**48*(a*a**(-1\/18)*a)\/((a*a**13)\/a*a*a*a*a) assuming a is positive.\nAnswer: a**(475\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4394326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*x = -6, 3*x = -2*x + 10. Let u = -25 + 46. What is the remainder when u is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 9*s + 16. Let y be u(-7). Solve -c - 8 = -y*j, j + 3*j - 20 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 + -2.7. Let z = j - 0.1. Sort 1\/8, 4, z in decreasing order.\nAnswer: 4, z, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -s, 0 = 2*s - 2*i + i - 24. Suppose 0 = -n - s*n + 1515. List the prime factors of n.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 41*a**2 + 35*a + 6. Let b be p(-4). Solve 517*z = b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12178253 = 12178253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 15 = -4*t - 2*v, v = 0. Let o = 15 + 11. Suppose -4*r = -o + 6. Solve -r*y = -10, 0*b + 3*b + t*y = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 536*j**2. Let w(o) = 11*o**2 + 2. Calculate v(w(k)).\nAnswer: 64856*k**4 + 23584*k**2 + 2144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x. Let b(o) = -o. Let q(s) = -14*b(s) + 2*t(s). Let m(j) be the first derivative of 2*j**2 + 2. Determine m(q(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 2512 - 2420 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11588586 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(u - 2*u**2 - u)*(-u**2 - 3*u**2 + 2*u**2).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((5 - (0 - -2)) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 11*q - 13 = -7*q, 5 = 2*n + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -2\/19 (c) 0.17 (d) 12\/23 (e) 0.4 (f) 1\/3 (g) 690\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z + 2. Let h(u) = -228*u - 84. Let o(n) = 2*h(n) + 84*s(n). Let i(w) = 84*w**2. Determine i(o(v)).\nAnswer: 108864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Suppose w*b = 3*b - 22. Let h(r) = -5*r + 2. Let l be h(-2). Solve -2*n + b = 4*v - 2, 5*n = 2*v + l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -42\/5 (b) -2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -7*x**4\/4 + 2*x**2 - 2. Let q(y) = 12*y - 10. Let c(h) = h - 1. Let v(j) = -10*c(j) + q(j). Determine r(v(p)).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 77887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 - -39?\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1140 is divided by 204?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357938 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 910\/104 + (-15)\/9 and -81\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -30. Let g be l\/(-3) - (-9)\/(-27). Let q = 2.5 - 3. Sort g, q, -0.2.\nAnswer: g, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*d**4 + 2*d**2 - 230245*d - 554932343.\nAnswer: 176*d**3 + 4*d - 230245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 141*f - 41*f + 29*f + (-3 - 18 - 15)*(-f + f + 2*f)*(1 + 4 - 4) to the form b*f + p and give b.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*c + 3 = -2*c, -4*c - 21 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/3*(49 - 18290\/413)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 32*g + 83. Let c be t(29). Sort -10, c, 3, -5 in ascending order.\nAnswer: -10, -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 times -3?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((80 - 40 - 81) + 35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.051, -9\/2, -2\/29 in increasing order.\nAnswer: -9\/2, -2\/29, -0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3810 - 3810 - 67*f**5 + 16*f wrt f?\nAnswer: -1340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133)*1 + (sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*1*1))))*6)\/(-6*2*-1*sqrt(1008)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1640164 and 1168.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79133, -79135, -79137?\n\"Answer: -2*v - 79131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l, -l = -2*a - a + 67. Let u = 15 + -11. Suppose s + s = u*i - a, -10 = 2*s. Solve -k - k + 6 = -4*t, k + i*t + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 p when four letters picked without replacement from {n: 5, p: 1, h: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 divided by -454?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 67)*(-2 - -1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, y: 5}. What is prob of picking 3 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1182, -912, -464, 162?\n\"Answer: 89*m**2 + 3*m - 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -897.9 - -898. Put 6, 1, -3, a in increasing order.\nAnswer: -3, a, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(4\/5)\/(d\/(d*d**(-13))*d**(6\/13)*d))**(1\/67) assuming d is positive.\nAnswer: d**(-836\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 1. Let k be f(3). Suppose -u + 6 = -k. Suppose u = 2*o - 7. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*p - 17, b - 6*b = -2*p + 13. Solve d + 5*z - 18 = 0, z = -p*d + 3*z + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 10 = 44. Suppose -j = -x*n - 2*j + 14, 0 = 3*n + 3*j - 24. What is the highest common factor of n and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 at most as big as 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*11\/(-33)*3\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209022*a**3*f - a**2*f + 66*a*f + 4*a + 8*f wrt a.\nAnswer: -1254132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 355459?\nAnswer: 355459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + 5*-4*sqrt(77)) - (sqrt(77) + sqrt(77) + 3*sqrt(77))*-4)\/(-4*sqrt(99)\/sqrt(81)*-1).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, m: 13}. What is prob of picking 1 m and 1 k?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (1*(sqrt(77) - 1*sqrt(77)) - sqrt(77)))\/(sqrt(63)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 3 (c) 12 (d) 221\/3 (e) 2\/7 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-3\/8)\/r)\/r**(1\/5))**(-1\/29))**(-50) assuming r is positive.\nAnswer: r**(85\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**2))\/f**(-4\/7))**(-3\/41)*(f*f**(2\/9)*f*f\/f**9)**(-30) assuming f is positive.\nAnswer: f**(149078\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2363*n**2*p**3 + n**2*p**2 - 4*n + 1085*p**3 wrt n?\nAnswer: 4726*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-399)\/(-1008)*((-3)\/4)\/(81\/72).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276366527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 312257028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/5 + 19269*r**4\/5 - 7020063*r**3 + 12918650451*r**2\/5 - 137883619962*r\/5 = 0. What is r?\nAnswer: 0, 11, 474, 2969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 20*u + 5. Suppose -7*p = -2*p + 50. Let x be i(p). Solve x*f - 3*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -493 - -2965\/6. Let b(r) be the third derivative of 0*r + f*r**3 + 0 + 8*r**2 - 7\/24*r**4. What is the derivative of b(c) wrt c?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4443 (base 6) to base 16\nAnswer: -40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*u + 3*x, -28 + 6 + 55 - 18 = -2*u - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3821593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 49. Let p be 4\/14*42\/n. Which is the second biggest value? (a) p (b) 4 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34761, -34890, -35097, -35376, -35721, -36126, -36585, -37092?\n\"Answer: n**3 - 45*n**2 - n - 34716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -48, 560, -4, -5 in decreasing order.\nAnswer: 560, 3, 0, -2, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and 0.033?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 - 10. Let z(k) = -37*k**2. Give z(f(n)).\nAnswer: -37*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 + -18. Which is the smallest value? (a) -1 (b) t (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0 - 3 + 13*q**2 + 6*q - 6 - 36 - 12*q. What is the units digit of x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1 + 6\/1. Suppose 8 = 3*o - p. Let q = -3 + o. Which is the third smallest value? (a) q (b) 1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) 15 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1045 - 173*a**3 + 71*a**3 + 98*a**3)*(1 - 3*a - 1).\nAnswer: 12*a**4 - 3135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 12*u = -6*u + 660. Solve -90 = -u*v + 42 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*l + 12874 = -745*l - 763 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/(-18) + 8 + -11 + -13 + -66.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 34\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52503\/2 or 26252?\nAnswer: 52503\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -53*h - 103. Let c(n) = 114*n + 208. Determine 6*c(w) + 13*f(w).\nAnswer: -5*w - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 3*r**2 + r**2)*(5*r**3 - 2*r**3 + r**3).\nAnswer: -8*r**5 + 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 1, 0.2 in descending order.\nAnswer: 2, 1, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 3045.\nAnswer: 33495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 6. Suppose 43 = -5*f - 2*d, 6*f - 5*d = 7*f - 19. Calculate n(f).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -91*9\/(-585)*2\/(-21)*-3. Put 3\/7, -0.039, 5, o in descending order.\nAnswer: 5, 3\/7, o, -0.039","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 14. Let u(n) = n. Let x be u(8). Let d be a(x). Suppose -d*k + 304 = -98. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*b - 45, -4*p - 3*b + 5*b + 60 = 0. What is the derivative of p - 12 - 11 - 13*g**4 wrt g?\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747743428 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(8) + (sqrt(968) + 3 - sqrt(968)) + 1)*-4)**2.\nAnswer: 9216*sqrt(2) + 22784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 a factor of 10282875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 3. Let u(h) = 16*h**2 + h - 16. Let j(i) = -11*m(i) - 2*u(i). Let v be j(3). Suppose -v*a - 3*a + 50 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -697.02 - -697. What is the second smallest value in n, -2\/7, 0.38?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -55. Let g = -174 + 180. Let c be v\/(-114) + 65\/g. Is c at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77 + 6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 83, 237, 515, 953?\nAnswer: 1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1635 + -1636. Which is the third smallest value? (a) -5 (b) m (c) -62\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 98*g**2 + 9*g - 15. Let k be q(6). Let t be ((-1189)\/(-2))\/((-1)\/(-6)). Let l(r) = r - k + t. Let f(d) = -6*d. Calculate -f(x) - 5*l(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 497 + 159. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2690367 - -9?\nAnswer: -2690358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 47*j - 2 + 31*j)*(-2*j**2 - 3*j**2 + 4*j**2).\nAnswer: 16*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 16463?\nAnswer: -16500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57309.1ml?\nAnswer: 57.3091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 5. Let y = 35 - h. What is the lowest common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-150)\/140\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 18 = -2*m, z = -2*m + 20 - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 181805, -1, -17, -2 in descending order.\nAnswer: 181805, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 227. Let m(f) = 3*f + 152. What is -7*m(b) + 5*p(b)?\nAnswer: -b + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x + 25*x**3 - 31*x + 60*x**3 + 176*x - 77*x - 23.\nAnswer: 85*x**3 - x - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2168 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -1811*g + 1817*g. Let i be 12\/(-14)*g\/3. Let w(q) = 2*q**3 - 4*q**2 + 3*q. Determine w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(-1\/4))*x*x**(-3)\/x)**(-4)*(x**(-2\/5)\/x**(-3))\/(x**(-2\/5))**(-10\/17) assuming x is positive.\nAnswer: x**(966\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3487945 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.22 - 1.284. What is j rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 158*m + 3646. Let a be k(-23). Solve 3*o = -h + 5, -41*h + 43*h - 5*o + a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7754659 nanograms?\nAnswer: 0.0000000007754659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 2 + 2 - 2 + 2 - 560*v.\nAnswer: -v**2 - 560*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1859, -1804, -1749?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*s - 161 = 0, 0 = -3*o - 5*s + 458 + 95. Calculate the highest common factor of o and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5049*a + 920. Is z(6) 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 3 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16655221*-2\nAnswer: 33310442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3*s**2 - 3*s - 3. Let w be n(-3). Suppose 2*a + 0*a - w = 0. Suppose a*t = -t + p - 11, 4*t = -3*p + 1. Are -4 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 0*g + 0 - 88804\/7*g**3 - 1192\/7*g**4 - 4\/7*g**5 + 0*g**2 = 0.\nAnswer: -149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let t(y) = -5*y + 1. Let f(k) = k - 1. Let h be ((-12)\/(-20))\/((-3)\/2) + 78\/(-130). Calculate h*t(o) + z*f(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2 + 0)\/2. Suppose d = -s + 3. Suppose 3*n + 4*v - 4 = 4, -3*n + 14 = -2*v. Solve 0 = z - s*z + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21796751 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 2, a: 9, p: 5}. What is prob of sequence ba?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 60*c. Is 12 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 4*v + 20. Let d be m(4). Suppose -7*l + d = -67. Solve -4*j + 15 = -5*t - 9, 5*j - l = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 - 51 - ((-11 - 2) + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*t + 4*t = -1, 0 = -5*t + 15. Suppose s = -p*s + 5*h + 5, -3*h = 5*s + 3. What is the closest to 0 in -5, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - e0?\nAnswer: -e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14591*q. Let i(w) = 35*w. Calculate x(i(r)).\nAnswer: -510685*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2*k - 40 = 0, -2*p + 2*k + k + 32 = 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 1. Suppose j + 0*j = -3*p - 4, 0 = l*p + 3*j + 12. Solve -5*w + 3*c - 3 + 17 = 0, p = -5*w - 2*c + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198 - 338. Let k = c + 399. Let n = -257.69 + k. Round n to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8709795 to the nearest integer?\nAnswer: 2951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.1 plus -9653035?\nAnswer: -9653126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 - t - 7. Let v(n) = n**3 - 6*n**2 - 7*n - 6. Let d be v(7). Let q be b(d). Let o(f) = 4*f. Calculate o(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7994569 and -0.4.\nAnswer: -3197827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 389*g**3*w**3 + 298*g**3*w - g**2*w**4 - g**2*w wrt w?\nAnswer: 2334*g**3*w - 12*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 - j - 8. Let l(r) = 7544*r**3 - 2758*r**2 - 10*r - 80. Let k(o) = -l(o) + 10*y(o). Find the third derivative of k(q) wrt q.\nAnswer: -45204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 4*c**4\/3 + 5*c**2\/2 - 24*c. What is the first derivative of y(o) wrt o?\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + -30021320?\nAnswer: -30023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 149445 = -568547. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 11. Let x be a(-13). Differentiate 134*u**2 - 259*u**2 + 101*u**x + 17 with respect to u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6618 and 16?\nAnswer: 52944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -3)\/((-1)\/(-1)). Suppose 5*j + v*a + 25 = -a, -3*a = 5*j + 35. Calculate the lowest common multiple of (-1)\/(5\/j - -1) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let m be 1 - 2\/(-2) - 0. Let b(d) = -5*d - 74. Let r be b(-14). Sort r, m, g in decreasing order.\nAnswer: g, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43367*d**4 + 413395 with respect to d.\nAnswer: 173468*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -48 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:27 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*c - 8 = 6*i, 6 = -4*i - 5*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48900 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*u - 34*u - 229*u - 15*u.\nAnswer: -811*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 27*c + 7. Let b(x) = -54*x - 13. Let v(t) = 4*b(t) + 7*h(t). Let l be v(-4). Suppose 30 = -k + 3*k. What is the highest common divisor of k and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12043 - 2932 - 12820 - 12463 + 6346 - 18327)*(-1 - 2*m**3 + 1) to the form c*m**2 + n + s*m**3 + o*m and give s.\nAnswer: 104478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**6\/6 - 99*t**4\/4 - 316*t**3\/3 - 1147. Find the third derivative of r(z) wrt z.\nAnswer: -60*z**2 - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 6*z**2 - z - 119. What is r(0)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzjq. Give prob of picking 1 j and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 12, 3*t + 26 = 4*z - 15. Let y(l) be the first derivative of l**3\/3 - 4*l**2 + 4*l + 2. What is the units digit of y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204542 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*s + 1396 + 1939 = 165 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129824250?\nAnswer: 2, 3, 5, 173099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -288*h**2 + 288*h**2 + 2*h**4 + 9*h**3 + (4*h + 8*h + 21*h**2 - 3*h**2)*(0*h**2 + 0*h**2 - 4*h**2) as g*h**2 + l*h**3 + u*h**4 + s + t*h and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 + 347*w**4 + 439*w**3 + 88*w**2 = 0. What is w?\nAnswer: -1, -1\/4, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 4*f - 2. Let k(v) = 2*v**2 - 2*v - 1. Give 4*h(t) - 7*k(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 38. Let k = g + 38. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18408 and 97\/27612.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 29 = -5*p - 5*s, -23 = -3*p + s. Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**2 - 9*v**2 - 39*v**2 in the form r*v**2 + z*v + u and give r.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/89 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 925*k - 136900.\nAnswer: -(k + 185)*(k + 740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 322489043.\nAnswer: 967467129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2560*v**3 - 2880*v**2 - 1080*v - 135 = 0 for v.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503976603.\nAnswer: 181, 197, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 76. Let r(u) = -2*u + 5. Determine r(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*c + 0*c = -13, 3*s = -4*c + 16. Suppose -s*b + h + 1298 = -703, h = -3*b + 1492. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -7149.983\nAnswer: 21449.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + ((-11)\/1 - -2). Let h(i) be the second derivative of -i**3\/6 - 4*i**2 - 2*i. Let r be h(p). Solve -3*b = -2*b + r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6*x = -0*x. What is x rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 15*f. Let s be m(12). Let u = -24 + s. Calculate the greatest common divisor of u and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97\/28 - 15\/4. Let g be 10\/(-30) - 4\/(-3). Let t be (-2*(-3)\/(-12))\/(18\/12). Which is the closest to j? (a) t (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/9 - 63815*j**4\/9 - 170191*j**3\/3 - 702061*j**2\/9 + 510572*j\/9 + 255292\/3 = 0.\nAnswer: -6, -2, -1, 1, 63823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 360775091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = -4*p, 0 = -5*j - p + 4 + 1. Suppose 45 = j*t + t. Solve 0 = -y - 2*y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + -7 - (20 - 60).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2561125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*m - 26 = 482*m - 96 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, 15, 5 in decreasing order.\nAnswer: 15, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 + 3*u**2 - 9*u + 15. Let o(i) = i**3 - 6*i**2 - 18*i + 18. Let z be o(8). Let p be t(z). What is the highest common divisor of p and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3 - 75*p**2 - 504*p - 432 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56355 times -0.6?\nAnswer: 33813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*j + 25 + 19, -20 = q - 3*j. Suppose 16*m = 74 + 262. Suppose 6*g - g + m = 4*y, -3*g = -4*y + 11. Sort q, -2\/25, y in increasing order.\nAnswer: q, y, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 3\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -9a?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128282840 and -0.1?\nAnswer: -12828284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 60 + (-4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15483\/41120 + 2\/257. What is the common denominator of w and -13\/11?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 71. Let j = -61 + 40. Let s be ((-9)\/6)\/(-1 + j\/(-30)). Solve a = 5*t - 0*a - s, i*a + 3 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*r + 28 = 2*y, 4*y - 12 = 2*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158\/3 - -53. Let t(u) be the second derivative of 0*u**3 + 0*u**2 + 0 - s*u**4 + 1\/10*u**5 - 14*u. Determine i, given that t(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*50)\/(21\/126). Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 6*j\/7 - 20\/7.\nAnswer: 2*(j - 2)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23874.\nAnswer: 2, 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + -16.3. Let g = 19 + b. What is the second smallest value in g, 2\/5, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10 and 59\/387730?\nAnswer: 387730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59458 is divided by 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 23 - (-1 - 40\/(-2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253560 or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -268 (b) 8 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-2)\/3 + 0). Which is the closest to u? (a) 1 (b) 0.5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/2)\/(-8)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 11*s + 5. What is r(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 7*s - 2. What is y(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.905266 years in centuries?\nAnswer: 0.09905266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38 + -21.88. Let x = o + 22. Which is the biggest value? (a) x (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31954 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 10 - 3 + 19*g as b*g + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34074 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0*p + 21 - 4 = -0*p - s, 7*p - 4*s = 58 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = j - 546, -222*j = -2*h - 224*j + 212. What is the lowest common multiple of 28 and h?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 1, 4, 7, 10, 13?\n\"Answer: 3*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72547 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let l(s) = 5*s**2 - 2*s + 1. Let j be l(i). Suppose 22 = -j*y + 66. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 5*a**2 + 4*a.\nAnswer: a*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, c: 4, t: 10, b: 1}. Give prob of sequence tnb.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Suppose 6 = 2*g - m. Let i(b) = 2*b**2 - 4*b + 4. What is i(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 1. Let q = 2 + -1. Let x(b) = -b. Let s be x(-3). Let c(u) = -u - 6493*u**3 - 5 - 2*u**2 + 6495*u**3 + 2. Determine q*c(g) + s*m(g).\nAnswer: 2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*h - 9, -226*h - 5*l = -230*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 - 3?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1 - (-1)\/(-2)). What is the lowest common multiple of 16 and a\/((-5)\/80*2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 13*d**3 + 5*d**3)*(3*d**2 - d**2 - 4*d**2).\nAnswer: -32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1 - 0) - -2. Let l(c) = -8*c + 1. Let b(y) = 9*y - 2. Let j(i) = -2*b(i) - 3*l(i). Give j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:35 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/2520 and ((-18)\/(990\/(-1309)))\/((4 - 19) + 3).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**4 - 216*k**3 - 132*k**2 + 56*k.\nAnswer: -4*k*(k + 1)*(k + 7)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64443375 divided by 125.\nAnswer: -515547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6653060 divided by -5.\nAnswer: 1330612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**0\/o)*o**3)**(-1\/26) assuming o is positive.\nAnswer: o**(-5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5362 and 11936578?\nAnswer: 83556046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 + (5 - (-87)\/(-21))*-7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16016 - 16016.3. Let c(i) = i**2 + 4. Let a be c(4). Let p be (6\/a)\/((-12)\/10). What is the third biggest value in p, w, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*b - 5289 - 12162 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c - 99*c - 403*c + 9904 = 0 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27081 + 44608. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55853*o - 55853*o - 3*j = -1 + 10, -5*j = -4*o + 55 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -11*x**2\/2 - 5*x + 7. Let i(s) = -2*s - 3 - 4*s + 0*s. What is -3*c(y) + 5*i(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 - 0))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 + -18 - 1677\/(-180) and 11\/35.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a factor of 2946727411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00716 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/(-15))\/14)\/((-9)\/36)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 12. Let n be (a\/(-15))\/(-12 + 6). Factor 4\/15*r - 2\/15*r**2 - n.\nAnswer: -2*(r - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1625188 and 54905.\nAnswer: 8125940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(102)\/(2*sqrt(6)) - sqrt(17))*-5 + (4*(-1 + sqrt(1377)) + sqrt(1377) + 0 + -2)**2.\nAnswer: -1075*sqrt(17)\/2 + 34464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(1\/(4\/8)). Suppose 0*u = 2*u + 8, -r*k - 12 = 3*u. Solve k = x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 4*q + 8. Let u(o) = o**3 - o**2 - 2*o + 2. Suppose -9 = -3*x - 2*f - 23, -5*x = f + 14. Let g be u(x). What is i(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 - 3*d - 3. Suppose 6*x - 12 = 10*x. Is h(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.058 - -0.022. Let a = 0.08 - x. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1376*r**2. Let z(l) = 18157*l. Give u(z(i)).\nAnswer: 453635069024*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4945.061 millilitres?\nAnswer: 4.945061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10675*q**3 - 8*q**2 - 54. Let d(j) = -2*j**2 - 14. Determine -4*d(y) + g(y).\nAnswer: -10675*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 5*s**2\/2 + 7561. Let w(p) be the first derivative of -1 + 0*p**2 + 8\/3*p**3 + 0*p. Determine u(w(c)).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -48, -24, 18, 84, 180, 312?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:35 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*j + 1997 = 41*j + 92207. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 531856588 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-260)\/348)\/(-13)*(-1)\/(-7). Let y = 3\/29 - x. Calculate the common denominator of y and 33\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/sqrt(539) + sqrt(27))*-1)\/(sqrt(225) + sqrt(225) + (sqrt(225) + sqrt(225)*4 + sqrt(225) - sqrt(225))*-6).\nAnswer: 2*sqrt(3)\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - (-2 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3560123 is divided by 212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2364 + 2358.6. Round z to 1 dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 466830000 = -66*o. Round o to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -17\/4, -14, 2\/11, 0.4, -5, -4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m - 214 + 61 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -6, -1 in descending order.\nAnswer: 23, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2081 - 2310 = -4*p + 3*q, -4*q = -5*p + 5488. Calculate the highest common divisor of 44 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(288))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -49, -40, -27, -10, 11, 36?\n\"Answer: 2*s**2 - s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4754754.\nAnswer: -1\/4754754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c - 71*c**2 + 8*c**3 - 9*c**3 - 7*c + 14*c - 51*c**2 as n + z*c**2 + r*c + x*c**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.097 + -17.097. Which is the third smallest value? (a) 2 (b) g (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 1\/3*t**3 - t + 3*t**2 + 17. Calculate q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14b01 + 2373?\nAnswer: -1274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxcxwxfwwwcwcce. Give prob of picking 1 x and 1 w.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557515 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*g + 12, -26 = 5*g - 4*i - 0*i. Let a = 168096 + -168104. What is the biggest value in a, -0.3, g, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 19) + (9 - (-4 + 1 + 5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 1. Let k(s) = 4*s - 7. Give k(b) - 3*u(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 2244\nAnswer: 17952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 3633072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-468)\/1430)\/(9\/(-33)). Sort 0.1, -4\/23, s, -5, 0.2 in ascending order.\nAnswer: -5, -4\/23, 0.1, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**9\/p)\/p)\/(p*p\/(p\/(p*p**16))))\/(p*p**(-15)*p**(-16)) assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -8.792.\nAnswer: -9.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4591690, 4591663, 4591622, 4591561, 4591474, 4591355?\nAnswer: 4591198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 + -175637396.6?\nAnswer: -175637395.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l. Suppose 4*i + 12 = l, -6 = -n - i + 7. Let a be (-574)\/(-24) + (-148)\/(-1776). What is the greatest common factor of n and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/143 + -283\/429. Put -4, 1\/14, x in ascending order.\nAnswer: -4, x, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:52 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -28. Suppose -17 = 5*s - 7. Let n = 6 + s. Solve n*g + 0 + j = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58857520 rounded to the nearest 100000?\nAnswer: 58900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/(-63) - -4) + 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6474, -6487, -6514, -6561, -6634, -6739, -6882?\n\"Answer: -w**3 - w**2 - 3*w - 6469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*r + 109*r + 13*r - 4*r**2.\nAnswer: -4*r*(r - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8444.676ml in litres?\nAnswer: 8.444676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:40 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u + 130 = -493 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z\/(z*z*z*z**5)))\/(z**1*z))**(-8\/7) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + 3 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31699056 and 112408.\nAnswer: 31699056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183.78 - -181. Let v = -2.780226 - l. Round v to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 8. Let v be (-3)\/2*(-26)\/3. Let s be k(v). Suppose s*g - 14 = 1. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.144 + -0.344. Which is the closest to 4? (a) h (b) 2\/7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 - ((-60)\/4)\/(-5). Solve -4*n - c = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdllj. What is prob of picking 1 j and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 3, 0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159529?\nAnswer: 29, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163702*m**3 + m**2 + 28193*m - 77?\nAnswer: 982212*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b7 + 5?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 6. Let p(n) = -3*n - 7. Let z be p(-5). Calculate the remainder when -2*1 + (0 - -6) is divided by f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/8 - 5*p**3\/6 - 5*p**2. Let h = -1 - -5. What is the lowest common multiple of h and d(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2294664272 - 2294641356.000035. Let x = -22906 + k. Let i = 10 - x. What is i rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 - 4 = 0. Let n = 12 - t. Let -2\/3*r + n - 1\/3*r**2 = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-129)\/(-45)) + (-208790)\/(-75). Differentiate 12 + 81*t**4 + g*t**3 - 2784*t**3 wrt t.\nAnswer: 324*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21398 and 15887192?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 789. Find the first derivative of -36 + 5*d**3 + 263*d**2 - c*d**2 wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115272947.56262 + 2?\nAnswer: 1115272949.56262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) + 72\/20. Suppose -w = -q*t - 14, 0 = -5*w + 2*t - t + 32. What is the least common multiple of 4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 92.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1410)\/2585)\/((-92)\/22).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6406559 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6298 = 3*f, -11*s + 10*s = 4*f - 8380. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2. Let h(t) be the second derivative of 7*t**6\/360 + t**3\/3 - 10*t. Let v(g) be the second derivative of h(g). Calculate a(v(n)).\nAnswer: -147*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -418, -269, 96, 749?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 23 = -5*v, v - 3*v - 4*y = 4. Let o be (-3)\/(-6) + 26\/v. Let i(z) = -z**3 - 41*z - 11*z**2 + 30*z**2 - 14*z**2 - 13*z**2 + 33*z. Determine i(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3357854767 to the nearest integer?\nAnswer: 57947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 2*x**2 + 2*x + 7. Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 183\/4. Let r be 6\/(-28)*(125\/20 + -8). Let k be (1 - 2)*(-4 + (-4 - -9)). Which is the second biggest value? (a) 2\/3 (b) k (c) w (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l**(-1\/3))\/(l**0)**(-49) assuming l is positive.\nAnswer: l**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3932562.\nAnswer: 2, 3, 439, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 36, -4, -3.\nAnswer: -4, -3, 4, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - l + 428 = 0, -58 = -o + l - 168. Let i = 339 + o. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-588)\/108*3\/(-7)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-94)\/(-10) - (6\/(-10) - -1). Suppose 2*n - f = 1. What is the least common multiple of 39 and n?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269867 is divided by 1729?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxx when four letters picked without replacement from xtxttxxxxxtxxxxxxx?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 15 = 16*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/(-91))\/(3*40\/(-120))\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 3:51 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/120 - x**5\/60 - x**4\/24 - 4*x**3\/3 - 9*x**2. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6622 from 10.\nAnswer: -6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-36*(-1)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 6*m - 10968 = -10878, m - 11 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/27 - 10\/(-45). Suppose -149 = -n*c + 53. Let o = 169 - c. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22583.819 - 22596. What is p rounded to one decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 80 - 8. Suppose 4*l - 2*o = -94, 0*o + 45 = -2*l + 3*o. Let s = l - -76. What is the remainder when s is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108494 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, -4*v + 55 = 2*n + n. Suppose 2*p - i = 5, i = 4*p - 3*i. What is the greatest common factor of p and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545038001 to the power of 1\/2, to the nearest integer?\nAnswer: 59540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14378?\nAnswer: 2, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Let z(p) = p**3 + 2*p**2 - 3*p - 3. Let u(i) = -i**2 - 11*i - 3. Let h be u(-11). Let r be z(h). Is q at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1632927*t**3 - 1632930*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.95 - -23.93594. Round v to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -238, -130, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 - 15*b + 16. Let p(j) = 9*j**2 - 13*j + 13. Let y(d) = -6*p(d) + 5*t(d). Calculate y(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3*b + 2*b)*(-18092 + 3143 - 20573 - 16359 + 8068 - 3531) to the form h*b + q and give h.\nAnswer: -47344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-1 - -3)) + -2 + 2487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 30. Solve -2 = a*z + 4*g - 15, -3*z = -5*g - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23838078 is divided by 1147.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 323628 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 13)*(6*d - 3*d - 2*d).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -825\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054310854 to five decimal places.\nAnswer: 0.00543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*p = 184*p + 89835. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4544.6 - 4545. What is the closest to -1\/2 in 2\/5, 197, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -80 in decreasing order.\nAnswer: 4, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3 - 29. Let r = 8 + u. Solve r = -a + 2 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -187. Let d = q - 57.4. Which is smaller: d or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 987 + -496. Suppose 14*r = 755 + m. Which is bigger: r or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(64) + -3*sqrt(64) + sqrt(64))\/(6*sqrt(1152)*4*-6).\nAnswer: sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 56749832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7466 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: Suppose 94*j**3 - 5*j**5 - 183*j**3 + 92*j**3 - j**5 + 3*j**4 = 0. What is j?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 605.8532 + 0.1468. Let a = 606.00002364 - u. Round a to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -1205, -1304, -1407, -1496, -1553, -1560, -1499?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 573388904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -502?\nAnswer: 3\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -630*i**5*r**2 + 7*i**3*r**2 - 2596*i**2*r**2 + 2*i**2 wrt i.\nAnswer: -37800*i**2*r**2 + 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(-4 + 6). Let j be (m - (4 + -2))*10. Is 10 a factor of (j\/25)\/(2\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5122016 (base 7) to base 15\nAnswer: -c0d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 1\/3 (c) -0.1 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6001 - 6*v**2 + 15*v**2 - v**2 + 5228 in the form z + l*v + b*v**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -26988.7\nAnswer: -26990.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2047 = -257*u + 266 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = 5*y, -4*b - 5 - 6 = -y. Solve 4*o - y*m - 20 = -8, 4*m + 15 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/2, -1980\/17, 2, -2\/15, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 62. Let a be (15 + h)*3\/(-6). What is the units digit of a\/9*948\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7173 + -7191. Let x(h) = h**3 + 21*h**2 + 55*h + 27. Give x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 3}. What is prob of sequence tt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 752 + -755. Which is the closest to -1.2? (a) 5 (b) w (c) 0.3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15171 = 3*v, 2*w - v = 10282 - 166. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.3 + -6449\nAnswer: -6463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -319?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 38 = -0*r - 2*r - 3*c, r = -r + 5*c + 38 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31190393 and -0.2.\nAnswer: -31190393.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + 3 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*t - 28, 4*t + 11 = -2*c - 5. Let y = -23 - c. Let f(k) = -2*k + 13. What is the tens digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-12)*(-16)\/10. What is the third derivative of -7*r**2 + 3*r + 8*r**d + 0*r - 3*r wrt r?\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010111111011001 (base 2) to base 12.\nAnswer: 250509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -334*b**4 - 2*b**3 + 16. Let i(u) = -668*u**4 - 5*u**3 + 31. Let v(n) = 5*h(n) - 2*i(n). Find the first derivative of v(y) wrt y.\nAnswer: -1336*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 15*v + 34. Let r be q(7). Suppose 0 = r*o - 16*o - 11. Sort -24, o, 2.\nAnswer: -24, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2401.57 + -2453. Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -4, 1, -4251054, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*b - 20. Solve 0 = 4*w - 4, w = -b*h - w + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5 - 921*d**4 - 58650*d**3 + 60486*d**2 + 58647*d - 59565 = 0.\nAnswer: -55, -1, 1, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4285 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfc when three letters picked without replacement from cdcgndfndnc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-5)\/(-805)) + -5.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from {c: 2, r: 2, w: 1, v: 2, s: 1, f: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/6*(6 - 5) + 3. Which is the second biggest value? (a) 2\/5 (b) -3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 35 - (0 - (-1260)\/(-56))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27\/38 - -4\/19. Let x(o) = -2*o**3 + 11*o**2 + 19*o + 16. Let h be x(7). Which is the biggest value? (a) p (b) -26\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 9\/(-27)*21. Solve 2*k + 0*t = -t + 6, -4 = 4*k - a*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 103*q - 718. Let p be b(7). Solve 7 = 5*s - 13, 4*k + p*s = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10340 divided by 98803?\nAnswer: 10340\/98803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24408429422 and 212.\nAnswer: -24408429210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -120?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/2 - 24. Let q(w) = -7*w**2 - w - 2. Let n be q(-1). Let z = -4 - n. What is the second biggest value in -4, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*c**2 + 23*c**2 + c**4 + 4 + 3*c - c**3 - 47*c**2 - 2 + 21*c**2 in the form u*c**3 + i*c**2 + l*c + z + q*c**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42408\/19437)\/((-21)\/330*-4))\/(2\/(-7)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let a(q) = 4*q - 13. Let r(j) = -a(j) - 3*p(j). Let x be r(12). Let c be (0 + -1)\/(1\/(-1)). Sort x, c, -2 in ascending order.\nAnswer: -2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 8*g. Let n(b) = -b. Let d be (-2 - -3)*10\/2. Suppose -4*o - 1 = -d. Calculate o*p(z) - 10*n(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 5:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4845 - -4849. Which is the nearest to -2? (a) 8 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4158*b + 3*u = -4160*b - 5, -5*b - 2*u - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 36071.\nAnswer: -17\/36071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3)\/((-27)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47863166*z**3 - 17*z**2 + 2844752*z?\nAnswer: 287178996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a)**(-16)\/(a**2)**(1\/20) assuming a is positive.\nAnswer: a**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1440 and 576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -57*h**3 - 94*h**2 - 3*h - 6. Let o(p) = -172*p**3 - 281*p**2 - 8*p - 16. Let w(v) = -8*n(v) + 3*o(v). Find the third derivative of w(m) wrt m.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -105. Let b = t + -49. Let h = b - 72.0000145. What is h rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4522417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48017796*0.08.\nAnswer: 0.0384142368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*c - 5*c. Suppose v = -0*v + c. Factor 2 - v*u**3 - 4*u**2 + 8*u**4 + 0*u + 5*u**5 - 6*u**2 - 2*u**3 - u.\nAnswer: (u - 1)*(u + 1)**3*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1175976657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -12\/13, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Suppose 0 = -m + 3, 2*x + 5*m - 34 = -15. Let c = x - 0. Let u(v) = -2*v + c*v + v. What is u(z(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10277\/316316 + 34\/1001. Calculate the common denominator of p and 53\/9.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -591*b + 592*b + 2, 2*t - 10 = 4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 34 = 7*g, -5*i + 4*g = -329 + 301 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -1 (c) 6\/371 (d) -3 (e) 85\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/28 - (-86546)\/(-56). Let x = 1532 + r. What is the common denominator of x and (-4460)\/(-480) + (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162)*1*6 + sqrt(162))**2.\nAnswer: 378*sqrt(2) + 7947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuiiuuuuuu. Give prob of picking 1 i and 3 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuquqquu. Give prob of picking 3 q and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19538 + -32277. Let d = 5289 + -1228. Let l = d - w. What is l rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*i + 340, 4*i = 3*y + 5*i - 489. Solve y*u - 157*u = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i**2 - i)*(14326*i**3 - 14328*i**3 + 388 - 49 - 3*i).\nAnswer: 4*i**5 + 6*i**3 - 678*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -176.3. Sort -3, s, 0.3.\nAnswer: -3, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16866?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -6*v + 4*v + g, v - 44 = -5*g. Let s = 7393\/4 - 1867. Find the common denominator of v\/22 + (9 - 8) and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 10*q - 2. Let i(u) = -2*u - 1. Let f(z) = -i(z) + p(z). Suppose -16*n = -n - 60. Determine f(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u**(5\/7))\/(u\/(u\/(u\/((u*u**0\/u*u)\/u*u)*u)))**1 assuming u is positive.\nAnswer: u**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -10*l - 1990. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2750 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -5. Suppose 0*m + b = m. Suppose 6*s - m*s = 51. What is the highest common divisor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -15. Let c(j) = -34 + j + 21 + k. Let h(b) = -2*b. What is h(c(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -254 (b) 13.04 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60472, -60478, -60484, -60490, -60496?\nAnswer: -60502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**2 + 6*v. Let j(k) = -209*k - 459. Give j(c(n)).\nAnswer: 2299*n**2 - 1254*n - 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 915*x - 57288.\nAnswer: -3*(x - 217)*(x - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136242 + -90656. List the prime factors of v.\nAnswer: 2, 23, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 26*g**4 - 20 + (4 + 0 - 3)*(2*g**4 - g**4 + 0*g**4) + 2*g**4 - 10 + 10.\nAnswer: -23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 112 + 112. Let l(t) = -8*t**2. Give l(n(u)).\nAnswer: -392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -34. Suppose -8*m = 5*m - n. Factor 2\/3 + 7\/3*w - 1\/3*w**5 - 2\/3*w**4 + 2\/3*w**m + 8\/3*w**2.\nAnswer: -(w - 2)*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 11*k**2 + 7*k + 18. Let j be t(10). Let g(z) = 5*z + 3. Let r be g(-2). Let w = r - j. Solve n + 6 = 2*i, 0 = -w*i - 4*n + 2*n + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -13 in descending order.\nAnswer: 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {d: 1, x: 3, p: 1, o: 3, t: 2, w: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s**5)*(5 + 2 - 4) + 3*s**5 - s**5 - s**5 + (3*s - 3*s + 2*s)*(-17 + 17 - 13*s**4).\nAnswer: -28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256659*b**5 - 1158*b**2 - 2*b - 9?\nAnswer: 15399540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5 - 53*c + 25*c + 1 + 23*c. Calculate f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 57.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -11.2. Let b = u - 0.2. Let p = 0.99968 - b. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76040 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: What is -136 divided by -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k - 9. Let f(n) = 2*n**3 - 4*n + 10. Suppose -623 = 10*l - 603. Calculate l*f(i) - 3*u(i).\nAnswer: -i**3 - i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - o = 47, -a + 9*o - 15 = 6*o. Sort -1, -5, a, 4 in increasing order.\nAnswer: a, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 102?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/(m\/m**(6\/5)))\/m)\/m*m)\/(m\/m**(-1\/28)))\/(m**(-4)\/m*m**(-10)) assuming m is positive.\nAnswer: m**(2123\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-468 + -10)*-618 + (6 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 + k + 47. Let n(l) = 10*l**2 + 3. Determine n(t) - 3*r(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2. Let d(g) = -5*g**2 - 11*g. Let c(l) = -l**2 - 2*l. Let h(v) = 11*c(v) - 2*d(v). Calculate h(p(s)).\nAnswer: -81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -221, -344, -467?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 4*x + 86, -7*f - 7*f + 10*f = -2*f + 3*x + 74 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 2)*(-1 - 3 + 2) + (-2 + 3 + 2)*(0 - 4 + 3))*(-2*t**3 + 0*t**2 + 0*t**2) in the form d*t + i*t**2 + b*t**3 + q and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18641, -18647, -18653, -18659, -18665?\n\"Answer: -6*l - 18635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7, c: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 39*j**2 - 107*j - 1255. List the prime factors of g(-13).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3870*z = -3872*z - k - 2, -4*z + 2*k = 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.6 - 44. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4378 - 6736. Let s be 428788\/(-182) + (4 - 6). Let q = s - d. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/25213 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315423 - -1054?\nAnswer: -314325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 26418.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 18056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.4 + 178.6. Let d = 213.0000139 - x. Round d to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12167403397396949443\/744930 - -16333619799706. Let r = -1003\/53 - -27672823\/1462270. Let b = s - r. What is the common denominator of b and 28\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19950 = 13*t + 2*t. Round t to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**16*y*y)\/y**4*(y\/(y*y*(y*y**0)\/y))\/(y**10\/y) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*u**5 - 36*u**4 - 6610*u**3 + 149621*u**2 - 19.\nAnswer: 2820*u**2 - 864*u - 39660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/10 + v**4\/12 - v**3\/6 - v**2\/2 - 2*v. Let h be n(-1). Let w(g) = -g + h - 3. Let l(r) = 3*r**2. What is w(l(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22 + 21)*(2 - (3 + -1)). Solve -s = -4*u + 10, u + u - 4*s + 2 = d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013874 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 121*u**3 + 4*u**2 - 6 + 2*u**2 - 110*u**3 - u**2. Let l(f) = -10*f**3 - 4*f**2 + 5. Determine 7*l(r) + 6*z(r).\nAnswer: -4*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 8*n = -13. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 4*b + 64, 0 = -3*n - b + 124. Suppose w - n = -3*w. Put -5, 3, w, -2 in descending order.\nAnswer: w, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32743 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + -1)) + 2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*v - 2*j - 3, 4*v - 14 = -3*j. Suppose v*d = 0, -y + 5*d + 30 = 4*y. Solve 0 = 2*o + x - y, -3*o + x = 2*x - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2676 (b) -1 (c) -0.7 (d) -5\/3 (e) 5\/2 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 + 35522?\nAnswer: 35445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 46*k**2 + k + 109. Let x(d) = 9*d**2 + 22. Let g(r) = -2*u(r) + 11*x(r). Let w be g(6). Let b = 27 + w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*w - 3*p - 54 = 498*w, 16 = -3*w + 5*w + 2*p for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -134, -98, -30, 70, 202?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 22428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6728 - -6724. Let i(v) = 2*v**2 + 2*v**2 - 6*v + 4 + 2*v. Let t(g) = -g**3 - 5*g**2 + 5*g - 5. Determine f*t(m) - 5*i(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2116 from -1448248352.\nAnswer: -1448246236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 8 + 141 = -33 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 4444 = 8*p. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -19*w - 18. Suppose -17*f + 19901 = -w*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 2086 = 11*m - 3*g, -2*m = -2*g - 2084. Solve 1032*o - m*o - 56 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -32*k. Suppose 58 - 13 = 5*n. Let v be n\/(-72) + 17\/8. Let d(b) = b**v - 103 + 103. Give t(d(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -417661 by 13.\nAnswer: -417661\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17209 + 17206. What is the second biggest value in -0.3, 8, z, -5, 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 22*o - 190. Give i(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(17\/3)))**(38\/5) assuming l is positive.\nAnswer: l**(-646\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33565, -44275, -54985, -65695?\nAnswer: -76405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -18*w**2 + 422*w + 2513. Give c(-6).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269221249 a multiple of 3590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -396641.\nAnswer: -3\/396641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 18 = -3*y - 2*o, -2*y - 2*o = -16. What is the hundreds digit of (y - 3 - -152) + 36\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -818*f**7\/105 - 303*f**3\/2 - 1050*f**2. Differentiate a(b) with respect to b.\nAnswer: -6544*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6816 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 513*u + 509*u - 1026*u - 20. What is the lowest common multiple of w(-9) and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:30 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -w + 15, 0*w - 5*w + 96 = -y. Let l be 342\/w*4\/6. Find the second derivative of -b + 14*b**4 - 14*b**4 + l*b**5 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 296167*r**3 + 6*r**2 - 20*r - 5 + 5*r**2 - 296163*r**3. Let i(s) = s**3 + 4*s**2 - 7*s - 2. Calculate 11*i(l) - 4*v(l).\nAnswer: -5*l**3 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-18495)\/(-315) - (-5)\/(-7) and 52.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 4*n + 11. Let m(l) = 2*l**2 - 12*l - 34. Let k(h) = 3*m(h) + 10*s(h). Factor k(g).\nAnswer: -4*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 11*v + 41. Give i(17).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 10.8, 2, -2\/9, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823624332 to the power of 1\/3, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*w**3 + 266*w**3 - 143*w**3 + (3*w**3 - w**3 - w**3)*(-3 - 1 - 4) to g*w**3 + i*w + f + l*w**2 and give g.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -446 - 2750?\nAnswer: -3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/2*(-30)\/(-60). Find the second derivative of -30*j + 0*j**3 - 22*j**2 - 2*j**3 - 8*j**2 - u*j**2 wrt j.\nAnswer: -12*j - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13651.17011 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503*-36.\nAnswer: -18108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, -4, 0.1, -10, -7\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 65.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -28\/28485, -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4894, -4880, -4848, -4792, -4706, -4584, -4420, -4208?\n\"Answer: g**3 + 3*g**2 - 2*g - 4896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/42 - y**4\/4 + 3*y. What is the third derivative of i(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5 + 1119*w**4\/2 - 26013*w**3\/2 + 84228*w**2 - 196584*w + 124800 = 0.\nAnswer: -208, 1, 4, 25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280*x**3 - x**2 + 289*x wrt x?\nAnswer: 1680*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 125*g - 75. Determine b(-63).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/488 and -151\/366.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 113 - 217 + 55*g + 215*g.\nAnswer: 270*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((3136\/(-24))\/28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-5)\/(-10) + 1. Let q be (-7)\/((-35)\/325) - m. Suppose 26*t - 22*t = q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188\/913 + 2\/83. Let v = 16.231 - 17.231. Which is the nearest to 2? (a) 0.1 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576713777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = -131*t + 67*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26821 - -26820.99945902. Round y to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178718375.3 to the nearest 1000000.\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*z = 34, 5*h = z + 24 + 15. Suppose o + h = -8. Let b = o + 22. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9\/j)\/(j\/j**(2\/97)))**(6\/7) assuming j is positive.\nAnswer: j**(4086\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-1*sqrt(1215) - 1*sqrt(15)*-5)\/(sqrt(60)\/(4*sqrt(12))*6).\nAnswer: -3 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -4, 13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2 - 6*w**2 - w + 3*w**2 + 4*w**2. Let r be o(2). Suppose 4*x + 78 = 3*q, 1 - 105 = -r*q + 5*x. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = 2295*x - 2299*x + 125, 2*x = 5*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*u + 118 = 2*j - 1047*u, -2*j = -4*u + 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(6) + (sqrt(72)\/sqrt(6) - sqrt(12))\/sqrt(2))\/(sqrt(2) + (sqrt(2) - (sqrt(242) + sqrt(242)*4 + sqrt(242))) - sqrt(2)).\nAnswer: -sqrt(3)\/65 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208))**2 - sqrt(13)) + 3 + (sqrt(13)*-3)**2*3.\nAnswer: -sqrt(13) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182479469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18)*9*(-64)\/(-6). Let m be (-2)\/(-4) + (-104)\/z. What are the prime factors of (-434)\/m + 3\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*r - 3*b + 1366, -r + b = -668. Does 48 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1019*r + 5*r**2 - 506*r - 514*r to the form a*r + t + v*r**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -676*i**3*z - 18*i**3 + 2*i**2*z + 2*i*z + 131495*z wrt i?\nAnswer: -4056*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 283*q + 0*q**2 - 283*q. Suppose 4*z - 3*z - 3 = 0. Let d(w) = -5*w + 5*w - z*w. Determine h(d(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (96*-1)\/(3\/12)*-1. Is 4 a factor of (s\/8 + -7)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*g*h**2 + 26418*g*i**4 + 2*g*i**2 + 16*g - 5*h**2*i + 42*h with respect to i.\nAnswer: 105672*g*i**3 + 4*g*i - 5*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1711.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -60, -79, -94?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*n**3 - 27*n wrt n?\nAnswer: 774*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 56 + (11 + (6 - 13) - 7).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -11. Let f be c - (1 - 0) - -17. What is the highest common divisor of f and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-9)\/(-72)*64\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and -6.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*y - 3949, 473 + 1896 = 3*y - p. Find the common denominator of -45\/56 and ((-3)\/(-56))\/((-15)\/y).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1457 + 5.0457. Let z = -1 - -2. Let r = -0.02 + -1.98. What is the nearest to s in -3, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 16*v**3 + 4 + 6*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 1. Let h be k(1). Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026448 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3406, 3415, 3424, 3433, 3442, 3451?\nAnswer: 3460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292782 divided by 14.\nAnswer: -20913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/33 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {r: 5, y: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:16 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 15*h + 48 - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -332, -331, -330?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 328 = -46. Let i = 47 + s. Solve i + 12 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1158 - -1150. What is the second biggest value in -2, x, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxa when four letters picked without replacement from xxxxaaax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*h - 1040, -5*t + 4*t = h - 208. What is the remainder when h is divided by 175?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 3650060611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10904\/5, 0.2, -31\/9?\nAnswer: 10904\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(1*sqrt(8)*-4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1618 (base 15) to base 13.\nAnswer: -2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42261*y**2 - 47535 wrt y?\nAnswer: -84522*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 + 9958969*n**2 + 366*n + 81138 wrt n.\nAnswer: -6*n + 19917938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 g, and 1 o when four letters picked without replacement from {o: 1, k: 2, z: 1, h: 1, g: 2, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2556866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4028 and 4750.\nAnswer: 503500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 11. Suppose 0 = -p*h - 2*h - 280. Is h\/20*1*-46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -531, 1, 3, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-18)\/42 - (-13375013)\/(-3024980)). Let v = -2\/21607 + b. Let u = -21\/4 + v. Do 25 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655141 divided by 2?\nAnswer: -655141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * -3\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49500 divided by -1650.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 292.71?\nAnswer: -296.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 193*v - 358. Calculate r(0).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7.2, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.982 rounded to 1 dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 5448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(1836\/(-120))*23\/(368\/72)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38150 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: Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {g: 3, k: 4, p: 1, w: 2, o: 1, s: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (2499\/525 - -24)) + (8 + -4 - -7)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679873769 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4104 and -61\/570.\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60172 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 19*y**2 + 34*y - 11. Give j(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(1\/9)))\/((o*o\/o**19*o)\/o))\/((o*o**(-13\/4))\/(o\/o**(4\/5))) assuming o is positive.\nAnswer: o**(3521\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 4. Let l be f(-2). Let v be 12\/(-2)*(-100)\/21. Let h = 29 - v. Which is the second smallest value? (a) l (b) h (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244, -243, -244, -247, -252, -259?\n\"Answer: -o**2 + 4*o - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -1033, -2312, -4099, -6394, -9197, -12508?\nAnswer: -16327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-6))\/(84\/(-18)))\/((-2)\/(-49))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x*(x*x\/(x**(4\/9)\/x*x)*x)\/x)\/x*x)\/(x*x**32))\/((x*x*x\/(x\/((((x*x**39\/x)\/x)\/x)\/x))*x*x*x*x)\/(x*x\/(x*x**34*x)*x)) assuming x is positive.\nAnswer: x**(-931\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -207182?\nAnswer: -207190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/6)\/(11\/(-27) - (-130)\/1755). Find u, given that 0*u - 1\/2*u**2 + p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -6*t + 3*t + 9*z, 5*t = 2*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100210210112 (base 3) in base 15?\nAnswer: 3c2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 33 = -3*h - 3*q, 2*q = 2. Let u be ((-2)\/(h\/(-25)))\/((-1)\/31). Let j = 44 - u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-122608)\/(-4424) - (-28)\/(-1))\/((-2)\/(-98))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936146693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 26 = 40. Suppose 5*w = 3*o - 31, 7*w = p*w - 25. Solve 4*g - 17 = -3*u - 1, 3*g + o*u - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/21, -2\/7 in increasing order.\nAnswer: -2\/7, -2\/21, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j + 20, 2*a - 5*j - 33 = 0. Find i, given that -i**2 - 2*i**5 - i**5 + i**2 - 3*i**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-32)\/6))\/((-14)\/(-88)*(-4)\/(-28))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 4. What is c(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 5. Let n = m - 0. Is n greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 49 = 41. Let y be 1\/(2 + (-11)\/5). Which is the closest to 1? (a) 4 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:15 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34767*k + k**2 + 34767*k + (-1 - k + 1)*(-k + 5*k - 2*k) + 4*k**2 + 0*k**2 - 5*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**3 + 3*x**2 + 7*x + 5. Let j = -6 - -11. Let p be (10\/(-7))\/j + (-36)\/21. What is the units digit of i(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**7\/105 + h**5\/20 - 2*h**2 + 4. Let m(k) be the second derivative of w(k). Find the third derivative of m(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -117 + 28 - (23 + 2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 17*t + 6 = 13*t, 7*t + 8 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 649?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + m + 5. Let s(h) = h**3 + 13*h**2 - h + 15. Let q be s(-13). Let n = q - 31. What is the units digit of y(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.7, -225, 0.1, -0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 620.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -42.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 5. Let c(n) = -n**2 - 2. Let h(f) = f**2 + 372*f + 7704. Let l be h(-22). What is l*d(a) + 7*c(a)?\nAnswer: a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7798 + 37685 = 19*l. What are the prime factors of l?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**4 + 12*b**2 + 21*b + 5. Let o(n) = n**4 + n + 1. Let i(c) = -10*o(c) + 2*s(c). Factor i(j).\nAnswer: -2*j*(j - 4)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2105 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4532782113 + -135205.2466817887. Let s = x - -135203. Let v = s + 2.7. Round v to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -73\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b9 - -6?\nAnswer: 1bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 4*g + 2*g**2 - 4*g.\nAnswer: 2*g**2 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*p - 210. Calculate the lowest common multiple of ((-36)\/14)\/((-24)\/112) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1120?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*a - 49*a - 4*a + (-1 + 3 + 0)*(-4*a + 2*a + 0*a).\nAnswer: -149*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1989905, 1989908, 1989909, 1989908, 1989905?\n\"Answer: -k**2 + 6*k + 1989900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4645190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*x + 6*x - 21*x + 2 to the form d*x + p and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 3, 0, 32134, -1.\nAnswer: -1, 0, 3, 5, 8, 32134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 45. Let n be x(-13). Suppose -n*b + 6*b - 3*s + 471 = 0, 2*b + 5*s - 940 = 0. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16994 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 50 = -y - 21, 5*y + 5*m = 145. Suppose -2*q - 5*x = -y, -3*x = -2*x - 5. Let w(p) = -4*p + q*p - 4*p. Let n(t) = -5*t**2. Give n(w(i)).\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**5\/15 + 4*o**4\/3 - 44*o**3\/9 + 8*o**2 - 6*o - 11. Let h(u) = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h - 2. Let g(z) be the first derivative of z**4 + 3. What is the units digit of g(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**2 + 262*w - 262*w)*(-9*w + 4*w - 7*w) + (0 - 2 + 0 + (-3 - 5 + 4)*(3 + 4 - 5))*(2*w - 2*w + 2*w**3).\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 5*w**2 - 6*w + 6. Suppose 3*z - 4*n = 0, 0 = -n - 1 + 4. Determine h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4*(-4)\/(-8)))\/(-1). Suppose 0 = y*k - 3*q - 789, -432 = -3*k - 2*q + 347. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 10313?\nAnswer: 10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -0.3 (c) -7.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**6\/15 - 2*t**5\/5 + 5*t**4\/6 - 2*t**3\/3 + t. Factor a(u).\nAnswer: 2*u*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16435, 9, 58 in descending order.\nAnswer: 58, 9, -16435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8542845\/14 - 610503. Let g = m - -300. What is the second biggest value in -6, g, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/7 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (2*sqrt(119) - sqrt(119))*-1 + sqrt(119) - sqrt(119))\/sqrt(7) - sqrt(102)\/(sqrt(6)*-3*-5))*5.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*u**2 - 1065*u - 7254.\nAnswer: 3*(u + 6)*(8*u - 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/11 - 744*a\/11 + 22984\/11 = 0. Calculate a.\nAnswer: 34, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 21*u**2 + 21*u + 22. Let l be t(-20). Suppose 3*z + 0*p - 7308 = -3*p, l*z = 4*p + 4878. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-4 - (-102)\/14). Let c = -2 + 1.6. Let m = c - -0.3. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7139*b - 7135*b = 44 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 14. Let u be m(18). Let d(j) = 135*j**2 + 7*j + 10. Let l be d(u). Let o be 250*(l\/3 - 2). Round o to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -1\/4*w**4 + 0*w + 7 + 11\/60*w**5 - 1\/3*w**3 - w**2. Let s(q) = 4*q**2 - 2*q - 1. Give 8*s(t) - 3*u(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46577808, -46577805, -46577802, -46577799, -46577796, -46577793?\n\"Answer: 3*p - 46577811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -393 * -1.1.\nAnswer: 432.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3062201 is divided by 2978?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in -2, -1, 441?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -158, -94, -16, 82, 206, 362, 556?\n\"Answer: j**3 + j**2 + 54*j - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 7 = -4*y - 59, 10 = -5*l + 6*y - 11*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262 - -2111\/8. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158144279.\nAnswer: 29, 149, 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - (0 - 2)) - (-185 + 197)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4141\nAnswer: -3\/4141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c - 3*k - 18 = 0, 42 = 9*c - 6*c + 5*k for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1012 and 4223.\nAnswer: 4273676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*a + 11 = -5*a, 0 = -3*p - 3*a + 6. Suppose 5*w = p*s + 25, 2*w + 0*w - 10 = s. Solve 9 = -s*g + 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1259, 1771, 2307, 2867?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.01. Let f = -1.29 + 2.29. Which is the closest to f? (a) 0.03 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 99151 = 5*c - 99344, -31 = -3*w - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 106, 148, 184, 214?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35009141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 76. Let o be z(14). Solve -o*k - 2 = -9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8095 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/40 - 573\/756) + 12\/54.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3207\/60 - 13\/52) + (-12)\/10 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -1070, -1084, -1112, -1160, -1234, -1340, -1484?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = i + 9, 13 = -3*n + 39*i - 40*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)*h**6)\/(h**(-2\/3))**(-39) assuming h is positive.\nAnswer: h**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l - 7. Let s(g) = 2*g**3 - 16*g**2 + 3. Let a be s(8). Let x be d(a). Let r be 44\/12 + 2\/(-3). Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 10) to base 2\nAnswer: -1001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 = 290*k - 1205 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -3. Which is the smallest value? (a) 1 (b) i (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34299, -35801, -37303, -38805, -40307, -41809?\nAnswer: -43311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 9*p + 1. Give k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:15 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 61 = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*(-43)\/((-1118)\/390)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 2*d**2 - 7*d**2 + 0.\nAnswer: -5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 6*i - 5*i - 7 - 26. List the prime factors of p(-10).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 24. Let a = 7 - -2. Let g = v - a. What is the biggest value in g, -0.1, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqq when three letters picked without replacement from {h: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -648, -969, -1296, -1635, -1992, -2373?\nAnswer: -2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469860384 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 + -2 + -3)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 335*m**4 + 323?\nAnswer: 1340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13425 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 913539951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16482\/1608 - 63\/56*(-2)\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 8:19 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/(-36)*48\/(-392). Solve p - 2\/7*o**2 - 2\/7*o**3 + 2\/7*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6428)\/1260 + 5 - (14 - 3816\/270).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + 2 + -6. Let o = -40 - -35. Let u be 2*o\/(-15) - t\/3. Sort -0.1, -1\/12, u in increasing order.\nAnswer: -0.1, -1\/12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:20 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1582804708 and -1.\nAnswer: 1582804707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - c + 15, -12 = -157888*c + 157900*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103\/99 or 1?\nAnswer: 103\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, 1\/6, 2\/31?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + x = -23*b + 22, -4*b - x - 13 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -191\/95 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -2\/9 (c) 13.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000220 - 1201112022?\nAnswer: -1120111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16493 minus -0.408?\nAnswer: -16492.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 53798157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -72*w + 2230. What is l(31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*n = -3*z - 23, -27 = 5*z - 3*n. Sort 3, z, -5, -1 in ascending order.\nAnswer: -5, z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**4 + 1806*c**3 + 1812*c**2 - 1806*c - 1809 = 0?\nAnswer: -1, 1, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 4. Let c be s(-8). Let q = c + 8. Suppose 2*y + q*u = 2 - 10, 3*y - 12 = 2*u. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9051 is divided by 758.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*v + 2 - 9 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/822 and -61\/90.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**5\/20 + 7*u**4\/6 - 7*u**3\/3 + 8*u**2 + 130*u + 2. Let j(n) be the first derivative of g(n). Give j(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -416135?\nAnswer: -4\/416135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -67.7, 0, 2 in decreasing order.\nAnswer: 2, 0, -67.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143110 = -125*g + 180*g. List the prime factors of g.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*k + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 0.154598\nAnswer: 1.855176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + 2*j**4 + (12 + 5*j - 12)*(2*j**2 + 0*j**2 + 3*j**2)*(j - 1 + 1).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 minus -17?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528087 is divided by 1273.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j + 56 = -66*j. Is j at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - y)*((-3 + 1 + 0)*(-2 + 0 + 4) - 1 - 3 + 2 + (-2 + 0 + 3)*(4 - 3 - 3) + 1 + 4 - 3).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f, -g - 3*g + 5*f - 21 = 0. What is the closest to -2\/5 in -5, -1, g, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -4.6. Suppose 5*g + 40 = -3*x, -3 - 2 = g. What is the closest to 1\/8 in x, -1\/9, n?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 14 - (24 - -1 - (541 - 521)) - -62?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Suppose -2*i + 15 - 23 = 0. Let a(f) = -4 + 0 + 3*f + 0*f. Determine i*a(n) - 14*u(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -573*g**3 - 4587*g**2 - 191*g - 1325. Give h(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*p + p + 17, s + 4*p = 1. Suppose k = -4*k + 20. Suppose -k*o - 10 = a, 3*o = s*a + 5*o - 40. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40862*j**4 + 4*j + 194267 wrt j?\nAnswer: -163448*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + x**2 - 3. Let c(u) = 11*u + 1 - 5*u - 6*u - u**3. Give -5*c(r) - g(r).\nAnswer: -2*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 985928 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238 - 242. Let p(t) = -4*t**3 - t + 3*t**3 - 5 - 4*t**2 + 3*t. Determine p(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997766 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116385913 is divided by 7970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519560977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*s - 344 = -132*s. Suppose -r = -5*r - 4*w + 356, -2*r + 4*w + s = 0. Let a be (440\/(-50))\/(4\/(-10)). What is the highest common factor of a and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 395 and 10440438?\nAnswer: 4123973010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 7*b - 9*b = -7*b + 3*m - 4*m + 50, 0 = 32*b - 7*m - 320 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 e when four letters picked without replacement from {l: 1, g: 3, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -20673?\nAnswer: -20674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 11*o + 14. Let s = 14 + -25. Is 7 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-16)*4)\/(-15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6965936997 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 2*a + 2*a. Suppose -3*j = -4 - 5. Suppose j*u + 4 = -u. Give p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/((-41)\/2460). Calculate the highest common divisor of 216 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 1. Let z be v(1). Let a be z + 2 + -2 - -11. Solve -2*d = d + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203\/5 + 41. Let i = -6 + 3. Let m be (i\/(-11))\/((-6)\/4). What is the third biggest value in m, 0.3, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {u: 6, v: 2, a: 5}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjjjfjjmjujjfj. Give prob of sequence umff.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from llrrlllllrrlll.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*b - 20*b**3 + 0*b**2 - b**2 - 4 + 306*b in the form r + u*b**3 + d*b**2 + w*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1*54\/(-5))\/(-13*28\/(-910))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-48)*-6*0. Let m(d) = d**2 + 4*d - 1. Let t(x) = -3*x**2 - 11*x + 4. Let r(w) = 11*m(w) + 4*t(w). Determine r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/6*(2 - -1). Let n = 2574 - 307. Suppose -1701 = -31*i + n. What is the greatest common divisor of h and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, 4 in increasing order.\nAnswer: -23, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 531, 6, 2 in decreasing order.\nAnswer: 531, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - 1. Let t(u) = 8*u**2 + u - 4. What is -4*j(a) + t(a)?\nAnswer: 4*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*v**2 - 2 - 2 + 4.\nAnswer: -109*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 15096811.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 12. Let p be m(-11). Let u(a) = p + 4 + a - 5. Let r(y) = -3*y**2 + 6*y - 6. Let q(b) = -b + 1. Let s(c) = -6*q(c) - r(c). What is u(s(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 34*b + 28 + 20*b - 62*b to the form g + c*b and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 3, f: 2, s: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 334861213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4015131, 8030257, 12045383, 16060509, 20075635?\n\"Answer: 4015126*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - -59. Let q be g\/(-18) - 2\/(-6). Let x be 1*5\/(q - -1). Sort x, 7, 1\/6.\nAnswer: x, 1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21112111 (base 3) to base 6\nAnswer: -41234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 352*p - 351*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 0 (c) 1\/5 (d) -5 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from wyzwxz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9956361?\nAnswer: 3, 19, 174673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6119 = 13*y - 15*y - 5*l, -4*y + 3*l + 12173 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*p. Suppose 0*j + 2*j - 2 = 0. Is -1 + 56*p\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17438088 is divided by 1985.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.867527*5\nAnswer: -4.337635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102637739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1067035, 2134088, 3201153, 4268236, 5335343?\n\"Answer: b**3 + 1067046*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q + 11*q + 2*l - 2, 4*l + 22 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (-1*(sqrt(2057) + -1) - (1*sqrt(2057) + 1)) + (-5*(-1 + sqrt(2057)) - ((-1*sqrt(2057) - sqrt(2057)) + sqrt(2057))*-2))**2.\nAnswer: 166616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 81904?\nAnswer: 737136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*s + 274*s + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/4 + -9\/2. Let n = -0.096 + 0.496. Let s(d) = -d - 2. Let o be s(-6). Which is the nearest to 0? (a) o (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 40 = 3*h. Factor -3*l + 4 + 5*l**2 + h*l - l**3 + 3*l + 2*l**3.\nAnswer: (l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11626, -11620, -11594, -11536, -11434, -11276, -11050?\n\"Answer: 2*w**3 - 2*w**2 - 2*w - 11624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 5*s - 16. What is l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.72 + -0.12. Let l = 0.4 + m. Let t = -6 + 6.3. Which is the second smallest value? (a) 5 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 4. Let d(r) = 2*r + 3. Calculate 6*d(o) + 5*i(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59317*r**5 - 39*r**2 - 12*r - 9?\nAnswer: 3559020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13386 is divided by 1346?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 69 + 5*l**3)*(4*l + l**2 + 19634 - 19597 - 2*l).\nAnswer: 5*l**5 + 10*l**4 + 185*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/270 and -68\/3735.\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19*p**3 - 7*p**2 - 19*p - 8. Calculate x(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -33.9. What is the closest to n in -1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 11*x + 33. Is c(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 6. Does 3 divide (b - 2)\/(-2) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 - 280*t**2 - 1150*t - 1152. Let v(g) = 42*g**3 - 2238*g**2 - 9201*g - 9216. Let x(c) = 51*j(c) - 6*v(c). Factor x(i).\nAnswer: 3*(i - 288)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 32 + 378*b**3 - 18 - 16.\nAnswer: 378*b**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 7, g: 4}. What is prob of picking 1 z, 1 g, and 1 w?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 12*x - 16.\nAnswer: -2*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -3, -0.3, 1\/4, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-40)*0)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27777852 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 579 = 2*h. Let j = -258 - h. Solve -j*x + 42 = -2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8 - 6) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5188 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (828\/(-36) - -21)*5\/(-2). Factor -1\/6*x**l - 3\/2*x**3 - 1\/3*x + 0 + 5\/6*x**4 + 7\/6*x**2.\nAnswer: -x*(x - 2)*(x - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -11*x**6\/30 + x**4\/12 + 53*x**3\/3 + 313*x**2. What is the second derivative of f(n) wrt n?\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*f**3 - 27*f**2 - 208541?\nAnswer: 408*f**2 - 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 462 + -462.3. Let k be (-12)\/(-18)*(-6)\/(-1). Which is the second biggest value? (a) -2 (b) -1 (c) p (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 - v + 1. Let q(a) = 2*a**2 - a + 2. What is 2*i(z) - q(z)?\nAnswer: 2*z**3 - 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26928127*s**2 + 19572297?\nAnswer: -53856254*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d + 3. Solve -l + d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3588*v = 5378*v + 358640 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -1 - 15. Let o(w) = 68*w - 23. Let s be o(3). Let d = 180 - s. Sort d, x, 0, -5.\nAnswer: -5, x, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 19) + (71 - 62)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 485*v - 16740.\nAnswer: 5*(v - 27)*(v + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 0 - ((2 - 23) + 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 44*a - 189 + 869 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9))**(-2\/39)*(p*p**(1\/2))**(-13)*(p\/(p**(-2\/3)\/p))**(-1\/16)\/((p*p**(-5)*p)\/p**5) assuming p is positive.\nAnswer: p**(-4091\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -1.6. Let p = 0.1 + 0. Which is the closest to w? (a) p (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*k + 61*k - 22107 = 1759 - 5017 for k.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235179945621 take away -0.4?\nAnswer: 235179945621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -76, -81, -88?\n\"Answer: -u**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.54358 and 144.18.\nAnswer: 142.63642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 795*q - 104 + 226 - 222*q.\nAnswer: -1017*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 6*z - 5. Let d(q) = -2 + 0 + 16 + 14*q**2 - 4*q - 13*q. What is 4*d(l) + 11*f(l)?\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggj when three letters picked without replacement from {g: 5, j: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9434736 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 702 - 707. Let z = -2 + 2. Put -0.1, p, z in ascending order.\nAnswer: p, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let h(r) = r**2 + r**2 + 2*r**2 - 7*r**2 + 5 - 5*r. Let i(b) = 5*b**2 + 8*b - 8. Let k(a) = -8*h(a) - 5*i(a). What is p(k(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*o**2 + c**2*z + 259*c*z + o**2*z - 16*o*z wrt o.\nAnswer: 4*c**2*o + 2*o*z - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -8458?\nAnswer: -8456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**6\/30 + 116*l**3\/3 + 101*l**2 + l - 154. Differentiate r(b) wrt b.\nAnswer: -4*b**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 2, d: 3, y: 4, z: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/512095 and 16\/12627?\nAnswer: 4608855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1006 or -20424?\nAnswer: -0.1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Let g = -5 + 2. What is the biggest value in b, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 7*o - 2*o + 1, 3*o - 9 = -g. Solve -5*y - g*y = 87 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + -2 + 1. Let o be (1 + 1 - 2)*y. Suppose -5*s - 2*p + 245 - 69 = o, -p = s - 37. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 868997, 1737995, 2607001, 3476021, 4345061?\nAnswer: 5214127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 8271bd3?\nAnswer: -8271bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.9 - -35. Let d = k - 17.1. Which is the second biggest value? (a) 2.2 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6874 by -491.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.3649628 seconds to days.\nAnswer: 0.000085242625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3936518*z**2 - 3591951*z.\nAnswer: 7873036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24244569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868828 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-403*i + 198*i + 205*i - 7788*i**3)*(-i**2 - 3*i**2 + 3*i**2 - 4*i**2 + 189*i - 189*i + (0 - 2*i + 0)*(2*i + 3*i - 3*i)).\nAnswer: 70092*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 7.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvwuzovwuuwpuww. What is prob of sequence wz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-18))\/((-55)\/(-66)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 321?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 529*z**2 + 4835*z + 102. What is c(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-14)*8\/(-14)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b + 36. Let q be k(6). Suppose q = -v - 5*u + 489, u - 4*u = -4*v + 1979. Suppose x - v = 3*a, 5*a + 111 = 4*x - 1830. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 6*x + 8. Let h be u(-4). Suppose -29 = 3*a - h. Let t be (-12 - -12)\/(a + 0). Solve t = -0*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 - 177*m - 851. Let f be r(-5). Is 106 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*h - 93*h = -84894. List the prime factors of h.\nAnswer: 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 2*o = 3*s + 12 + 81, -5*o - 3*s = 119 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -2*u + 316. Suppose a + 5*h = 163, 0 = -u*a + h + h + 455. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u - 9*u + 10962 = 7*u. Which is smaller: 185 or u?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169803 divided by 9\nAnswer: -18867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 2e?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7 - 3 + 1 - 9*i - 12*i**2 + 3*i**2 - i**3. Let m be t(-7). Calculate the remainder when ((-68)\/10)\/(6\/m) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Suppose 0 = -4*g + g + 18. Solve -y = -r - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1.3 (b) -21 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:20 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -b + 38, -6*u + 2*u = -3*b + 88. Let a = b - -5. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16232 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 711*i - 14631. Determine t(24).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19\/38)\/(((-7)\/(-1082))\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (3 - 9)*-1. Suppose 0*s - 5*s + 80 = 5*f, -2*f + 3*s + 32 = 0. Let j = -25 + f. Is j smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 9. Suppose -y*p = -3*c - 2*c + 17, -2*c = 4*p - 12. What are the prime factors of (-6)\/((5 + p)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -86. Let a = 196 - k. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-6)\/(-18))\/(8\/(-72)). Solve 5 + 32 = 5*d + i*n, -5*d + 2*n = -17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42167 - 41954.29. Let d = o + -215. Round d to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41768 and 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = p + 3, 3*n = -p - 3. What is the least common multiple of 1\/2 - p\/2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1) + 1 + 10. Suppose 3*s - f = 1. Suppose l = s + 7. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -114, -339, -766, -1461?\nAnswer: -2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*n**3 + 4456440*n**2 - 2228205*n + 278525.\nAnswer: -5*(n - 55705)*(4*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*k + 52 - 12 = -61 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + 1 - 6 + 4 - 4 + 2 + 0 + (1 - 2 + 2)*(3 + 1 - 3) + 8 - 3 - 1)*(1 - 1 + 2*l**2).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -406 - 34. Suppose -5*p + 2*i = u - 25, 3*i + 30 = -3*p. Let s = p + 21. What is the smallest common multiple of 20 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 34*x**2 - 17*x + 104. Let o(a) = -a**3 + 12*a**2 - 6*a + 34. Determine 6*h(j) - 17*o(j).\nAnswer: -j**3 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*a - 9, -2*a = -5*n + 1 + 5. Solve -3*i + 2 + a = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 58064*l + 58068.\nAnswer: -4*(l - 1)*(l + 14517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 21\/(-9) - (-3)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14347*l**2 + 8713*l**2 - 22458*l**2 in the form r*l + x*l**2 + i and give x.\nAnswer: -28092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6*(-6)\/2. Is 6 a factor of o\/(5\/4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -37 + 52 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*m**3 - 127*d**2 - 12*d*m**3 - 2*d*m with respect to m.\nAnswer: 3*d**2*m**2 - 36*d*m**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 + 5*r - 3. Let i be y(-4). Let w be (-2)\/i - (-8)\/(-28). Let c be ((-2 - w) + 6)*-1. Which is greater: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 17. Let j be i(-12). Suppose -270 = -7*r + 3*r + j*u, -185 = -3*r - 5*u. Calculate the remainder when r is divided by -2*11\/(-4)*4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**2 + 1\/6*a**4 + 0*a**3 - 2*a + 0. Let s(t) = -3*t**2. Calculate b(s(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 225 = -12*n. Suppose 2*l = 5*q - 6, l + q - 8 = -2*q. Solve a + 3*s = -l, -5*s + 18 = n*a - 4*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 times -461261?\nAnswer: 39207185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m - 5*m - 192 = 213 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 - (-1 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362 and 47576393.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = -12. Suppose 0 = -17*u + 13*u - 8. Suppose -2*d = -6*d - 4. Put u, l, d in decreasing order.\nAnswer: d, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*l - 29 = 0, -5*l + 2*l = v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u - 7\/24*u**4 - 18*u**2 - 1\/60*u**5 + 10\/3*u**3 + 0. Let p be v(-8). Solve 3*j = 3*l + 21, 0*l = 3*l + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710608907 to the power of 1\/3, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/1260 + 7*g**6\/720 - 17*g**5\/360 + g**4\/16 + 4*g**2 + 1. Factor w(p).\nAnswer: p*(p - 1)**2*(p + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3970\/11 - 1480755\/4103. Let i = j + -15323\/2238. Let m = 558 + -11167\/20. Find the common denominator of m and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o. Let a be r(1). Let h = -4 - a. Solve f + 8 = 3*p, -30 - h = -4*f - 4*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkhkfij. Give prob of sequence ki.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-10)\/25) + 864\/(-60). Suppose -4 = p + 5. Is (184\/(1 + p))\/(1\/t) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let p(t) be the third derivative of 0*t - t**2 + 0 + 1\/60*t**5 + 0*t**3 + 0*t**4. What is l(p(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54436 and 97377224?\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1098*p**2 - 86*p**4 - 40*p**3 + 50*p**4 + 1099*p**2 + 33*p**4 - 4*p as n*p**3 + j*p**4 + i*p + s + l*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:56 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(1 + sqrt(13)) - (sqrt(13) + -3 + 4) - (-2*(1*sqrt(78) + sqrt(78)))\/(sqrt(42)\/sqrt(112))))*-6.\nAnswer: -66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 271 - -b83?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 - 4*f + 1. Let z be (-10)\/(-40) - (-1)\/(-4). Calculate w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 2, p: 1, o: 1, q: 4, v: 4}. Give prob of sequence kp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 290, 520, 808, 1154, 1558, 2020?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 151*s**2 + 4*s - 3. Give b(1).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/17)\/(((s\/s**4*s)\/s)\/s))**(3\/19) assuming s is positive.\nAnswer: s**(216\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -l + 4*p, -10 = 4*l + 4*p + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1 - 6 + 6 - 4*x. Let m(i) = 9*i + 3. Let z(o) = -3*m(o) - 7*p(o). What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1920\/3*(3 + (-4278)\/1428). Let a = 36\/17 - j. What is the smallest value in 1\/4, 6, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4232781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from cceoceqcoccc?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8009.78 millilitres?\nAnswer: 8.00978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 6544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 269 = 425. What is the greatest common factor of w and 1625?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 27 = -5*y, -2*m + 6 = 1398*y - 1402*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 4. Suppose -m - 1 + 6 = 0. Let n be t(m). Let a be (0 + 3)\/(n\/6). Is a less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92, 108, 138, 188, 264, 372?\n\"Answer: o**3 + o**2 + 6*o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -355200 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27af (base 16) to base 3\nAnswer: -111221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + 3 + 3*sqrt(325) + sqrt(325))**2.\nAnswer: 180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397 - 104. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bd0b (base 15) in base 16?\nAnswer: 3b381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(325) + sqrt(325) + -4 + -1)*-1 - (0 + 1*sqrt(325))*-2)**2*-4.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 577825 and 4044774\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34626 is divided by 16832?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -315 + 317. Solve 3\/4*y**4 + 0 + 3\/4*y**5 - 3\/4*y**3 - 3\/4*y**b + 0*y = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -0.3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69311 + 11c?\nAnswer: 69430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*p - 12 = 32, x - p + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**3 + 8*a**2 - 6*a + 6. Let u(o) = 8*o**3 + 0*o**2 + 2*o - 4*o**2 - 2 - 10*o**3 + o**2. Let z(i) = 8*i. Let c be z(-1). Give c*u(d) - 3*n(d).\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*z - 0. Suppose 2*i - 5*j + 2*j - 464 = 0, 5*j = z*i - 695. Suppose -q - i = -3*n, n - 3*n + q + 155 = 0. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 857, 1286, 1715, 2144?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -0.6, -1\/5, 0.4, -6, 0.1 in descending order.\nAnswer: 212, 0.4, 0.1, -1\/5, -0.6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*z = -323*z - 38*z + 3*z - 41976 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let b(h) = -18*h**2 - 6*h. What is s(b(d))?\nAnswer: 648*d**4 + 432*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -93078450554847?\nAnswer: 93078450554851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 520?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o + 29. Let d be y(-9). What is the first derivative of 17 + 9*k**2 - d + 7 + 9*k**2 wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12 - -52*(-759)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 384, 1065, 2072, 3405, 5064?\n\"Answer: 163*s**2 - 134*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c*c*c\/c**(-8)*c*c)\/c)*c**(-7))**(-4) assuming c is positive.\nAnswer: c**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1252 by 1.\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 7*g**2 + 7*g - 2. Let m be i(6). Factor -m*y**2 - 5 + 4*y**3 + 4 + 1 - 4*y + 4.\nAnswer: 4*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -0.39.\nAnswer: 13.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114475053*l**3 - 158227903*l wrt l?\nAnswer: -686850318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 272192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (4\/(-14) - 1). Suppose -58*t = -55*t + p + 12, -2*t + 2*p - 8 = 0. Which is the second biggest value? (a) h (b) -0.3 (c) t (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235000 - -3?\nAnswer: 235003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 9*p - 74. Suppose -u + 2 = 4*b, p = -b + 4*u + 2. Let i(j) = j - 10. Determine i(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/1059, 7\/6, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/14 + 6)*-4)\/(-5) + (-43 - -38)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i + 1. Let b be q(1). Let j = b - -4. Let d(h) = -h - 1. What is the units digit of d(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 509167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 + 20 - 4*v + 10 - 45 to j*v**3 + y*v + m*v**2 + p*v**4 + h and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 314*f**4 - 37054*f**3 - 7*f**2 - 222972248.\nAnswer: 1256*f**3 - 111162*f**2 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2680, -2525, -2370, -2215, -2060?\n\"Answer: 155*x - 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5828 is divided by 4742.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4994*i**2 - 132*i + 379. Let t be b(3). Calculate the greatest common factor of t and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9085950 rounded to the nearest 100000?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8884 - -8890. Which is the second smallest value? (a) y (b) -3\/4 (c) -5 (d) 1\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -29) + (2 - (0 + 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 6) to base 13.\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 + s + 25. Let g(u) = u**2 + u + 2. Determine -5*g(d) - t(d).\nAnswer: -2*d**2 - 6*d - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -10. Let k(q) = -77*q + 18. Let c(y) = 26*y - 6. Let w(v) = 17*c(v) + 6*k(v). Is w(d) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1757, 1757, 1755, 1751, 1745?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*y + 8*y + 8*y)*(-5 + 4 + 11)*(-5*y - 9*y + 0*y).\nAnswer: 4060*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/20 + (-9)\/(-6) - -42. Calculate the common denominator of 58\/3 and 325\/y + (2 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 831882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 5, -1\/4, 0.3, 0, -0.41, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -7*g. Find the common denominator of (58\/g)\/(3\/(-4)) and 2 + (-66)\/24 - (-116)\/(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, g: 6, w: 3, z: 3, l: 4}. Give prob of sequence nn.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12.4. Let g = o + -4.6. Let h = 5.8 + -1.8. Which is the fourth biggest value? (a) -0.3 (b) -7 (c) g (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-11))\/8)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -998*u**3 - 128*u**3 - 5*u**2 - 5*u**2. Let y be q(5). What is y rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67912405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188743 - g**2 - 188743.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, r: 1, w: 6, t: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3426*x + 334035. Let q(l) = l - 117. Let j(r) = b(r) + 2855*q(r). Let w(a) = 2*a. Determine j(w(n)).\nAnswer: -1142*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-76))\/((-15)\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**2 + 3*m - 4. Let h be u(-3). Let a = 99 - h. Solve 1 - 21 = -a*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*b - 635 = 0, 2*b - b = -5*j + 778. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 503*z**2 - 489*z + 245961. What is d(503)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*-1 + (25 - 0). Solve -5*z = 1 - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 12*d**2 + d - 1. Let r(i) = -i**3 + 18*i**2 - 19*i + 29. Let h be r(17). Let j be a(h). What is the highest common factor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w + 3*r, -5*r = 5*w - 4*r - 24. Suppose 5 + w = -5*g. Let x = 9 + -8. Sort 0, x, g in ascending order.\nAnswer: g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738735 to the power of 1\/2, to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c**2 + 127*c**2 - 259*c**2 - 3*c + 3*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8689\/328 - 3\/328. Find the common denominator of w and (-245)\/6468*(-590)\/(-25).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 11*k**5\/60 + k**4\/12 - k**3\/6 + 33*k**2. Let l be b(1). Let o = 290 - 194. What is the highest common divisor of l and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3 + 1. Let p(l) = -l**2 + l + 1. Let z be p(y). Sort 5, -3, z.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:28 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + -23. List the prime factors of v*(-2 - -1) - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (19 + 5 - -24)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 10. Let j(v) = -v**3 - 41*v**2 - v - 36. Let f be j(-41). Give o(f).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 + 12*c - 30. Let k be g(7). Suppose -k = -5*p + 15. What is the first derivative of 30*s**4 - 18*s**p - 3 + 5 wrt s?\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3 - 0) + -75 + 81.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*i - 12*i. Suppose -i*c + 151 + 1367 = 0. What are the prime factors of c?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1339 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.96 - -0.04. Let l = 3 - 7. Which is the closest to -0.1? (a) l (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 x when three letters picked without replacement from {f: 3, u: 2, c: 5, x: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 2*h - 3. Let q be v(2). Solve -m - 2 - q = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -0.2, 3, -154, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6135525.\nAnswer: 3, 5, 11, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-2)\/(-36)*603\/67?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3529211 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 4:18 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-30))\/((-2)\/10). Let u be (6\/(-10))\/(s\/(-10)). Factor 0*z**2 + 0 + 0*z - 2\/5*z**u.\nAnswer: -2*z**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25510?\nAnswer: 2, 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:10 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/2)*l**(-4)*(l\/l**4)\/(l\/(l*l**(-1))) assuming l is positive.\nAnswer: l**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 5. Let z be 2 - (2\/4*2 + -7). Give k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:14 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437 and 45847?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -407, -364, -313, -260, -211, -172, -149?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -904\/5 - -15338\/85. Let n = 31 - 31. What is the third biggest value in 8, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:13 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + -2.6. Suppose -3*x - 1 - 2 = 0. Let q be x\/(-2) - (-1)\/(-2). What is the nearest to q in 0.1, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*x - 41*x + 2024. Solve -25*w + x*w = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1762*k + 22893. Give h(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 320? (a) 0.12 (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 4 in descending order.\nAnswer: 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(78) - (sqrt(78)*-1 - sqrt(78)) - sqrt(78)) - sqrt(78)*-4*6)\/((sqrt(5808)*-2)\/(sqrt(392)*-1)).\nAnswer: 91*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67473 + 1?\nAnswer: -67472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 4*a**2 - 9*a + 8. Let n be x(6). Suppose 206*d = 229*d - 69. Suppose -d*m + n = -7. Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 6, m: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 1.79?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*t - 5*y, y = -4*t + 5*y - 16. What are the prime factors of 10827\/54*t*2?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*s - 16 = y, 0 = 5*y + s - 6. Solve 0 = -4*x, 0 = -h - y*x + 4*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, -12\/11, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 4. Let k(g) = 7*g - 3. Let r = -11969 + 11963. Determine r*t(o) + 5*k(o).\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**7)*z**(-2\/5))\/((z\/z**7*z)\/(z\/z**5)) assuming z is positive.\nAnswer: z**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 86. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**2 + 29*o**2 - 48*o**2.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 1)*(-8 - 5 + 0)*(-2 - 2 + 0) + (2 + 1 - 4)*(2 - 5 + 1))*(-2*k + 4*k + 2*k) as w + g*k and give g.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:50 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20500 = -3*b, -13659 = -2*b - 14*w + 9*w. Let q be 2\/5 + b\/20. What is the highest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 7*d**2 - d + 37. Let k be c(-6). Suppose 5*w + 108 = w. Let v = 26 + w. Sort -2\/11, k, v, 2\/9 in decreasing order.\nAnswer: k, 2\/9, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343614 (base 7) to base 14.\nAnswer: 1850b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aebtaaeheeeahvt.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 379862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493830?\nAnswer: 2, 3, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 746 and 4.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*y**2 + 2*h**3 + 18*h*y**5 + 5*h*y - 18*h - 4*y**5 wrt y.\nAnswer: 2*h**3 + 360*h*y**3 - 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259373.15 seconds in weeks?\nAnswer: 2.082296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -f + 2*d - 34174, 34183 = -f - 5*d. Let a = -21588 - f. Round a to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3 (c) -351 (d) -304\/9 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769207409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Suppose -4*j + 0*c = c - 147, -5*j + f*c + 210 = 0. Suppose -40 = -j*z + 36*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 49769?\nAnswer: 1\/49769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -20. Let v be (-9 + 2\/1)\/b. Suppose h + 474 = v*h. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32622559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 35*p - 33. Let v be t(14). Suppose -v*m = -67*m - 8. Let b = 8 - 22\/3. Sort -9, b, m in descending order.\nAnswer: b, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -401 - 11*b**2 + 1595 + 9*b**2 in the form y*b**2 + t + j*b and give t.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2. Let u(a) be the first derivative of -282*a**3 - 2*a - 1128. What is u(v(q))?\nAnswer: -7614*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**2 - 69. Let v(t) = -2*t**2. Give v(j(m)).\nAnswer: -450*m**4 + 4140*m**2 - 9522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 7. Let f(p) = 13*p - 15. Give -4*f(n) + 7*l(n).\nAnswer: -3*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = 6*i. Let y = i - -10. Suppose -3*a + 63 = 2*a - 3*h, 5*a - 67 = y*h. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843359 is divided by 734.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 65*p + 5364. Give i(-89).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -108, 21, 2, 0 in decreasing order.\nAnswer: 21, 2, 0, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2095 - -2100. Solve -8 = 2*w, t*o + 4*w + 11 = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 - 2 - (-255255)\/(-6006).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 324*k - 92 + 1\/3*k**3 - 18*k**2. Factor f(z).\nAnswer: (z - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/20 - (-206)\/(-5). Let d = -36 - b. Solve 2*x - d - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*t**2 + 7101*q**3*t**2 - 15*q**3 + 18305*q**2 + 3*t**2 wrt q?\nAnswer: 48*q*t**2 + 42606*t**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 84. Which is the closest to 0.2? (a) 1 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1639 + 13?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 v when four letters picked without replacement from {v: 1, c: 2, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 876 - 880. Let m(f) = -f**3 - f**2 - 3*f + 5. Give m(y).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -29, -82, -167, -290, -457?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 5, 4.\nAnswer: -153, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1416 and 2814?\nAnswer: 664104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:36 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/(-15*1)). Let i be d\/(-3) - (-1)\/3. Suppose -2*t - 4*n + 4 = 2*t, i*t - 2*n - 10 = 0. What is the remainder when 5 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -1\/7 (c) -2\/11 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 14) to base 13\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2018 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15185472 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 70*a + 1960.\nAnswer: -5*(a - 28)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-7 - (-4 - 0)). Let n(r) = -r - 3. Let f(d) = -38*d - 32*d - 32*d + 133*d + 2 - 30*d. Calculate c*f(z) + 3*n(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z + 6. Let i be v(2). Suppose -85 = i*n + 3. Let t = n + 64. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 8*k + 24. Let q(m) = 2*m**2 - 7*m + 24. Let w(r) = -4*f(r) + 3*q(r). Let x be w(-7). Sort x, -3\/4, -5, -0.4.\nAnswer: -5, x, -3\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1900) - (2*sqrt(1900)*-2 - sqrt(1900)) - sqrt(1900) - (sqrt(1900) + -1*-1*sqrt(1900))) + 1)**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5095814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1921\/7 + -274. Let r be 2\/(-11)*(-65)\/28. Let m = -3\/22 + r. Sort 5, m, j.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q*q**3*q*q*q))\/(q*q**(-2\/17)))\/((q\/q**(-3\/7))\/q**(-1\/2)))**(-47))**(-2\/81) assuming q is positive.\nAnswer: q**(-109745\/9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 29. What is the closest to 1 in 0.3, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 + 61 = -9*d. Suppose 5*s - 131 = -d. Solve 2*h - 4*f - 31 = s*h, 3*h + 13 = -f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225288259 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 1195*u**2\/3 + 2387*u\/3 + 1193\/3.\nAnswer: (u + 1)**2*(u + 1193)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 - -241. Suppose 2*q = 0, 4*g - 2*q - 15 - 97 = h. What is the remainder when 81 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let o(q) be the third derivative of 1\/12*q**4 + 0*q + 6*q**2 - 1\/60*q**5 + 0 - 2\/3*q**3. Let l(v) = o(v) + 2*r(v). Determine l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2523\/56 - -349\/8. Which is smaller: 0.03 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (340\/(-51))\/(356\/2403)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 2*g**2 - 3*g + 4*g - 12 - g to the form r + x*g + o*g**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*k - 12, -2*g - 5*k = 406 - 434. Which is the closest to -1? (a) 129 (b) -2 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*d - j + 136, d - 16 = -5*j. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a06 (base 15) in base 7?\nAnswer: 22263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-16) + 155\/(-40)*-1 + 4. Solve -20 = 5*h - 4*d, -68*h + 70*h = 3*d - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 92 = -14. Suppose d = 6*b - 25. Suppose 6*u - 5 = b. Solve i + 0*i = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-2301.46.\nAnswer: 920.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10570 and -111\/930160?\nAnswer: 930160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssffcsscssyffs. Give prob of picking 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24192 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-12) - -2)*3. Which is bigger: 4\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226 and 21583?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232888259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129076723?\nAnswer: 7829, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*o + 5)*(4*o + o - 3*o)*(-14 + 0 + 0) as x*o + p*o**2 + w and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5703 - 2.4703. Which is the nearest to u? (a) 0.1 (b) 1\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 3, 12, -46, 2.\nAnswer: -46, -21, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 14.\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (-13 + -27 - 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3500.59ns to milliseconds.\nAnswer: 0.00350059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6) + 3 - (sqrt(72)\/sqrt(9))**2.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/16 + (954\/48 - 21). Is b greater than or equal to 14\/5241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -33*s**2 + 1. Let n be m(1). Let c = n - -32. Which is greater: c or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4 + 3861*x**2 - 3726*x**2 - 4. Let o(y) = -63*y**2. Determine o(f(r)).\nAnswer: -1148175*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4892469 at least as big as -4892411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1050 divided by 6\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -2*s**2 + s + 3. Suppose -l = 5*j + 10 - 3, -j + 7 = -4*l. Give t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130 a factor of 179172789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9234997 millilitres in litres?\nAnswer: 0.0009234997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40044, -39972, -39848, -39672, -39444?\nAnswer: -39164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(19) + sqrt(475)*4 + sqrt(19))*-1 - -2*sqrt(19)*2*-2)**2*3.\nAnswer: 51304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15147574 is divided by 629.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -6)\/(((-30)\/45*2)\/(-8))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/7, 2\/19, -686, -1\/3, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3540882, -7081775, -10622672, -14163573, -17704478, -21245387?\nAnswer: -24786300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Find the common denominator of (-39)\/2 + (-1)\/3 and 1 + c - (-93)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 1\/3 (c) -1\/11 (d) -2\/21 (e) 0.0961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 13*m + 17. Let d be o(-7). Let n = -17 - d. Suppose -g + 3*w + 3 + 2 = 0, -n = -2*w. What is the greatest common divisor of g and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25*z + 1727. Let j be h(69). Let d(a) = -a**2 + 7*a + 11. Let r be d(8). Sort -17, j, r in ascending order.\nAnswer: -17, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 6)*(-4 + 66\/21). Let w(a) = -34*a**3 + 4 - 2 - 11*a + 9*a + 37*a**3. Let n(k) = 25*k**3 - 17*k + 17. Give i*n(t) - 51*w(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 1. Let j be m(2). Suppose -i = j*i - 24. Is 13 a factor of (52\/i)\/((-3)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - 0.02345831677623?\nAnswer: -66.02345831677623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 71749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/3)\/c**35)\/((c\/(c\/(c*c*c**(-23)*c)))\/(c*c**16)))**(-46) assuming c is positive.\nAnswer: c**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d + 62 - 164 = 0, -4*b - 3*d + 2102981 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*l + 2*m, 3*l - 1806 = m - 1821 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - 5. Factor 12 + f - 3 + 3*t**2 - 12*t - 1.\nAnswer: 3*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 4. Suppose -v*u + 5 = -n, -5*n - 3*u + 23 = u. Suppose -5*f - q + 2 = -12, 0 = n*f - 3*q - 12. Solve 0 = f*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -45*a + 44*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*(-2 - 32\/(-14)). Suppose a = -f + 3. Is 14 a factor of (a\/(-3))\/((-5)\/(-870))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6 - 2*k**2 + 6. Let m(b) be the third derivative of -b**4\/24 + 3*b**2. Determine w(m(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126 or 8777?\nAnswer: 8777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*27\/63*(2 - 22\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 + 2*p + 1. Let o be x(-3). Suppose 5*g + d + 0*d = 17, 2*g = d + o. Solve -3*l = -g, 4*a - l - 2*l = -23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 190. Suppose 4*y - 6*y = -u. Calculate the remainder when 35 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvowvwvowwwjvz. What is prob of sequence vo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 648485297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -7*h**4\/24 + 19*h**3\/6 - h**2 + 2*h. Let f be v(2). Solve -4*k = -f*j - 45, -2*k + 0*j + 5 = j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -44, -6, -245 in decreasing order.\nAnswer: 21, 4, -6, -44, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**18\/l)\/((l*l**(3\/5)*l)\/l))\/((l\/(l**(2\/47)\/l)*l)\/l*l)**41)**(-33) assuming l is positive.\nAnswer: l**(820908\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -10\/9 (c) 1\/2 (d) -0.1 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/11 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**6\/30 - 64*w**5\/5 - w**3 + 55*w**2\/2 + 645*w. Find the second derivative of r(p) wrt p.\nAnswer: 12*p**2 - 1536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 12:01 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2498313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 4:18 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85 + 59 + g - 108 + (-5 + 1 + 2)*(2*g + 1 - 1).\nAnswer: -3*g - 134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988954 a multiple of 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 5. Let p be m(-4). Let z = -11 - p. Solve z*l = 2 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23865*f + 19469*f - 23019*f.\nAnswer: -27415*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/1 - (18 + -1). Let d be ((-138)\/c + -6)*-1. What is the third biggest value in -3, 1, -4, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - -153. Let t = f - 212.4. What is the closest to 0.2 in -2, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8908*k**3 - k**2 + k + 2. Let z be y(2). Let d = 50664 + z. Round d to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131373 and 21278445?\nAnswer: 702188685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*o**2 - 1355*o**2 + 402*o**3 + 339*o**2 + 333*o**2 + 341*o**2.\nAnswer: 402*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7983 and -0.262.\nAnswer: 0.2091546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:13 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1956 and 810.\nAnswer: 264060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 7) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4558 + -4556. Solve -2\/3*b - 2\/3*b**q + 2\/3*b**3 + 2\/3*b**4 + 0 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x + 127*x - 179*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-2 - -4) + 0 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 12. Let m(t) = -3*t + 6. Let k be m(7). Let l = -25 - k. Let c be b(l). Solve 3*f - 6*s = -2*s - 7, -c = 4*f - 5*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 2. Let u(y) = 36*y - 48. What is 28*i(h) - u(h)?\nAnswer: -8*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 - 96 = 3*y. Let n = -100 + y. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -129 and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 19\/3)*(-45)\/(-40). Which is the nearest to 0.28? (a) 1\/6 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 53*k - 53*k + (-4*k - k**2 + 4*k)*(1 + 5 + 6) + 0*k**2 + 3*k**2 - k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + 2*sqrt(5760))\/(sqrt(88)\/sqrt(44)) - (1*sqrt(5)*5 + -5)*5)**2.\nAnswer: 1250*sqrt(5) + 3750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - a**4 + a**4)*(1 + 0 + 1).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 392091167 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 47*l - 155. Let v(z) = 2*z**3 - 3*z**2 + 6*z + 3. Does 16 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 + 7*c - 6. Let n(l) = -2*l**3 - l**2 + 4*l + 2. Let a be n(-2). Determine k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1669474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**3 - 8 + i**2 - 2*i + 7*i**4 + 5*i**4 - 8*i**4 - 2*i**4 to b + g*i**2 + f*i**4 + h*i**3 + k*i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 - 9. Let y(n) = -35*n**2 + 2*n - 2. Let f(v) = -18970*v**2 + 1085*v - 1085. Let x(o) = -2*f(o) + 1085*y(o). Give t(x(r)).\nAnswer: 11025*r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 4028?\nAnswer: 72504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482992278?\nAnswer: 2, 21319, 34781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifff when four letters picked without replacement from ffafi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/4 (b) 2 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -834 + -1?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let a(x) = -8*x - 6. Let h(u) = 2*u - 3. Let w(p) = p - 1. Let s(n) = 2*h(n) - 5*w(n). Let j(q) = a(q) - 6*s(q). What is y(j(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 11*y - 4*j = 8, 4*y - 4 = 2*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 8. What is the first derivative of 3*w**3 - m + 13*w - 13*w + 2 wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279485944?\nAnswer: 2, 67, 521429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11\/((-33)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-11)*a)\/a)\/a*a)\/(a\/a**(-1\/3)))\/(a**(1\/14)\/a**(-8)) assuming a is positive.\nAnswer: a**(-857\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299539711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a - 3. Let t(f) = -f - 1. Let d(p) = o(p) - 2*t(p). Suppose -2*g = -5*r - 11, 2*g - 2 + 6 = 0. Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1387 + -388. List the prime factors of r.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 0 (b) 5\/2 (c) 0.8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 40 = -2*l, -2*l + 6*l - 90 = 3*i. Solve 0 = 5*u + l - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1.5, 0.4, -2\/13 in decreasing order.\nAnswer: 8, 1.5, 0.4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2*x. Let n(g) = -5*g**2 - 7*g. Let j(p) = 9*d(p) + 2*n(p). Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*i - 6, t + 3*i = 4*t. Suppose -5*u + 4*a = 2*a - 196, 0 = 5*u + t*a - 206. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 4*l + 3*l + (0*l + l - 2*l)*(4 - 5 + 3) - 2 + 2 + 2*l - l - l + 0*l + 6 - 8*l - 14 + 10*l.\nAnswer: l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (0 + -10)\/(-2). Suppose -r = -2*r + 3*z - 4, r - z = -k. Let i = r - -9. Calculate the remainder when 15 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(64 - 19*n - 64 + 1 - 1 - 2*n + (1 + 0 - 2)*(4 + n - 4))*(2*n**2 + 2*n**2 - 3*n**2) in the form x*n**3 + p*n**2 + q*n + g and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 17. Let h = o - -10. What is the third derivative of 4*d**h - 3*d**2 - 4*d**3 - d**6 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -3946?\nAnswer: 394.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-33))\/((-50)\/275).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76*(2\/8 - 0) is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79154 + 1435*w**3 + 79154 + 438*w**3.\nAnswer: 1873*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 397.969.\nAnswer: -119.3907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 219*g = -717*g - 76712 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 - -29 - -42 - 16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -4*l, 2*l - m = 2*m - 9. Let i = l + -3. Let b = i + 12. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 2, h: 7}. Give prob of sequence ho.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911058?\nAnswer: 2, 971, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-84)\/154 - (1148\/154 + -16)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -1578 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1515, 1\/8, 3, 3\/8.\nAnswer: -2\/3, 1\/8, 3\/8, 3, 1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890795 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -46. Let q = -4.21 - y. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xooyyofoysoyyofoyfy. Give prob of picking 1 y and 1 s.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 31*t - 47\/4*t**4 - 32\/3*t**3 + 0*t**2 + 0. Find the second derivative of k(y) wrt y.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-84)\/9)\/14)\/((-2)\/81). Calculate the highest common divisor of t and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:59 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1435 divided by 22561.\nAnswer: 205\/3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19379850 to the nearest integer?\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201432 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Suppose l*g = 15, -18 = -4*c - 2*g + 4. Find the third derivative of q + 5*q**2 - c*q**2 - q + q**4 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557315503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-1 - 8) - (-18 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-84)*(-90)\/117)\/(5\/(-15))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23254175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6669.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/26292 and -37\/30048.\nAnswer: 210336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.4259 tonnes to kilograms.\nAnswer: 62425.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - (-63)\/(-14)*-2. Factor -64\/3*z - 4\/3*z**5 - n*z**4 - 100\/3*z**2 - 16\/3 - 76\/3*z**3.\nAnswer: -4*(z + 1)**3*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(3\/2)\/c*c*c*c))\/(c**(-16)*c))\/(c**15\/c)**2)**(30\/11) assuming c is positive.\nAnswer: c**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.056 - 3.75. Let z = 0.412 + m. What is z rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17047830, 34095660, 51143490, 68191320?\n\"Answer: 17047830*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 258649202 to the power of 1\/2, to the nearest integer?\nAnswer: 16083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188232 divided by 12.\nAnswer: 15686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(272) - (sqrt(272) + sqrt(272) + 1 + -2))*3 + 4*sqrt(68)\/(sqrt(400) + (1*sqrt(400) + sqrt(400) - sqrt(400)) + sqrt(400)) + 2)**2.\nAnswer: 1084*sqrt(17)\/3 + 4999613\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let o = -6 - -6. Suppose 2*y + o*y = 0. Let l(u) = y*u**2 + 0*u**2 - 2*u**2. Calculate a(l(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + (-1)\/(0 - 5\/(-10)). Suppose -i + 2 = -2. Solve -c = -5*o + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 70*k + 34. Let i be j(2). List the prime factors of i + 0 - (-13 + 10 + 5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76, -82, -110, -172, -280?\n\"Answer: -2*k**3 + k**2 + 5*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + (-54)\/(-15). Suppose 6249 + 751 = c*x. Suppose -n + 5*k = k + x, -1750 = n + 3*k. Round n to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4217\/1880 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 596*z\/3 - 7770.\nAnswer: 2*(z - 333)*(z + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688232.\nAnswer: 2, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 4, m: 1, j: 1, g: 2}. Give prob of sequence djmb.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v*v**(-2)\/v*v))\/(v**(1\/5)*v*v*v**(-10)) assuming v is positive.\nAnswer: v**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11219*i - 11218*i - 34 = -10*s, -18 = 5*i + 3*s for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*o = -118, -4*h + 276 = -2*h + 4*o. Let d = 130 - h. Let i be ((-15)\/(-6) - 2)*4. Solve 2*g + d = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 89. Let g be u(-28). Solve b + 1 = 5*f, b + 4*b + 5 = g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**3\/21 - l**2 - 12. Factor w(x).\nAnswer: 2*x*(x - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 14. Let x be (-5)\/t*(7 - 1). What is the third derivative of 5*m**3 - 3*m**2 + 2*m**3 - x*m**3 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45144)\/1995)\/66*14.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/23187 and -73\/1572.\nAnswer: 92748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 2. What is k(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298374.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/6 + 130*r**3\/3 + 9865*r**2\/6 + 13115*r + 25704 = 0 for r.\nAnswer: -216, -34, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -267*w - 2912. Give z(-10).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 20935 - 78433 = 0. What is the greatest common divisor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-16 - -3) + 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.1. Let p = -235 - -235.4. Let h = 29\/6 + -10\/3. Which is the nearest to 5? (a) p (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 1. Let f be m(-4). Let r = 8 + f. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Suppose 133 + 25 = t*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1323*o - 70 + 1321*o - 4 - 19 to x + p*o and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9482766 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.6. Let q = -0.9 + t. Let x be (12\/(-21))\/((-70)\/49). Which is the third smallest value? (a) q (b) x (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 2*c - 1. Suppose f + 0 = 3. Let d(y) = 4*y**2 - 2*y + 2. Give f*g(b) + 2*d(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 510 = 0. Suppose 65 = 7*i - 26. Let s = 4 + i. What is the greatest common divisor of p and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g - 22. Let r be (-143)\/(-52) + (-1)\/(-4). Let k = r + 13. Calculate the remainder when n(k) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:50 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39910 is divided by 120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*276\/10*4\/8. Let j be 1*((-251)\/(-11) - (-34)\/187). What is the greatest common factor of j and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -12 (b) -7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 97. Let c(m) = -m - 65. Calculate 8*c(j) - 5*o(j).\nAnswer: 2*j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28366 is divided by 962?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205479 is divided by 51288?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 98*d - 2728 = -15*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3715, -3713, -3711, -3709?\n\"Answer: 2*v - 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -54. Let n = 301\/5 - f. Put 5, 0.3, n in descending order.\nAnswer: 5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -824*d**5 + 15*d + 2?\nAnswer: -16480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 45, 51, 45, 21?\n\"Answer: -f**3 + 3*f**2 + 10*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 8*i + 8 = -5*l, -4*l + 2*i - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**3 + 3*r**2 - 3*r + 3. Let p(f) = -100*f**3 - 28*f**2 + 28*f - 28. Determine 28*k(c) + 3*p(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2. Let c = 1493570\/9 - 165952. What is the closest to -1 in c, -3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29757*z**3 - 2*z - 29708*z**3 + 59463*z**3 + 2*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40581720 a multiple of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 25. Let a be (-10)\/(296\/76 - 4). Suppose -315 + a = -2*h. What is the remainder when h is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmsmmsmmmmmmmmm. Give prob of picking 1 s and 1 m.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 + 247*f**2 - 2*f - 27. Determine t(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-18 + 27 - (3 + 5 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 0.5, 3\/5, 1\/4, -302\/5, -3\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -224, -241, -258, -275, -292?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.356374kg in tonnes?\nAnswer: 0.002356374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -36, -519, -23 in descending order.\nAnswer: 1, -23, -36, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, j: 2, b: 6, v: 1, a: 1, k: 4}. What is prob of sequence jkja?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -127 + 8?\nAnswer: -11f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 262, 10, 4, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (26 + 8 + -27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*a**2*i**2 - 230134*a**2 - 1217*a*i - i**2 + i wrt i.\nAnswer: 36*a**2*i - 1217*a - 2*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 1071.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-11)\/(-3))\/11)\/(2\/18). Suppose 271 = 4*y - h, n = -5*h - 12. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*s + 20 = 233*s. Suppose -s*i - 8 = 2*o, i + o = -0*o - 4. Find j such that 1\/2*j**3 - 1\/4*j**2 + 0 + i*j - 1\/4*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*t - 17 - 108, -50 = 2*t + 4*s. Let v = t - -28. What is the derivative of 33*g**v + 113*g - 16 - 113*g wrt g?\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {u: 1, g: 4, z: 3, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*1*(-6)\/6. What is the nearest to i in -0.13, -1, 0.5, 4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 59. Let u be 1\/2*z\/(-6). Find o, given that -4\/3*o**2 + 2\/3 - 2\/3*o**5 + 2\/3*o**4 + 4\/3*o**3 - u*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38343 + 38345. What is the least common multiple of 1988 and g?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15235413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {n: 3, t: 4, c: 9}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/7)\/3 - 95\/(10640\/(-48)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 3*x**2 - 7. Let q be w(4). Let k be (-1 + 1)*(-12 + 13). Suppose 5*v - 6 - q = k. Solve 2*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 6*o - 6. Let d be f(6). Suppose -5*k + d = 5, k + 35995 = i. Suppose -i = -3*x + x. Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19392\/29 and -668 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150212538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (2\/1 - 4). Suppose 4*s - 4*i + 4 = v, s + 2*s = 5*i - 3. Let x = s + 21. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 160 = -5*f + 5*x, f - 5*x = 9. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -31 - ((-48)\/8 - 1). Let q be (0 + 0 + -2)*-8. Let y = x + q. Which is smaller: y or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10706 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: Let d = 837.881 + 0.119. Let j = -843 + d. Which is the third smallest value? (a) j (b) -10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 50*u - 291. What is f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -4 (b) -0.7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29870 divided by -58.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100266643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21952669 to three dps.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -531 - -537. Which is the closest to l? (a) 1 (b) 0.4 (c) 0.5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let r(o) be the third derivative of 7*o**5\/60 + 7*o**3\/6 + 811*o**2. Calculate r(v(k)).\nAnswer: 7*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 1 = 5*d, -5*m - d = 5 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(9\/12*-2). Let z(o) be the second derivative of o**4\/12 + o**3\/2 + 3*o**2\/2 - 13*o. Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040918 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 2 (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 0. Let k = 660230\/27 - 24453. Which is the nearest to g? (a) 0.4 (b) 4 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -3*w**8\/28 - 4*w**7\/105 + 3*w**6\/10 + 2*w**5\/15 + 4*w**2. Suppose k(i) = 0. Calculate i.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(396) + sqrt(396))*-6 + 4)**2 - (((sqrt(396)*-2 - sqrt(396))*-3 - sqrt(396) - sqrt(396) - sqrt(396))**2 - sqrt(396))*-1.\nAnswer: -582*sqrt(11) + 71296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/(s**(-3\/2)\/s) assuming s is positive.\nAnswer: s**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 550 + -163. Let d = n + -237. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 874501.3ns?\nAnswer: 0.8745013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*1 + 134 + -12 + 9. Is 140 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tleezen. Give prob of picking 2 e, 1 t, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28483 - 25297. Solve -3194*h = -c*h - 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1069149252.00000042 - 1069149279. Let p = -0.031 + 27.031. Let c = z + p. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280719 divided by -46?\nAnswer: -1280719\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12)*(-64)\/16)\/((-1)\/87).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -18 - (2 + 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 9*b - 52. What is s(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276.2 + -277. Suppose 0 = -11*y + 14*y - 15. Which is the biggest value? (a) y (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m = -3*x + 35*m - 41, 7*x + 17*m - 39 + 164 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.15, 58, -0.1, 0.2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -0.3, -25?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 95.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 - 2 = -2*q, 4*q + 4*o + 16 = 0. Let l = -1 - q. Suppose l*z - 67 = -j, -3*j - 41 = -4*z + 14. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*m - 195523 = 70*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 35*y**3 - 1 - 9*y**3 - 32555*y**2 + 32555*y**2 + 2*y**3.\nAnswer: 27*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(30)\/(sqrt(90) + sqrt(90)*2 - sqrt(10)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584200 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + 7*d + 5. Let h be u(-5). Let r(i) = -i**3 - 4*i**2 + 3*i - 6. What are the prime factors of r(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 26*r + 0*r - r - 20*r - 6*r. Let m(b) = 4*b**3 - 2 + 112*b - 108*b - 3*b**3. Determine -5*g(y) - m(y).\nAnswer: -y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002020012 (base 4) in base 13?\nAnswer: 9638c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -19*c**2 - 211*c + 8. Suppose -4*s + 100 - 4 = 0. Calculate the remainder when y(-11) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/14 - (-138)\/(-483). Suppose 13 = 16*a - 14*a + s*q, a - q = 4. Solve -v = -3*g + g - 4, g = -a*v + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183082153 is divided by 25588?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -1, -2, -1\/40 in decreasing order.\nAnswer: 3\/4, -1\/40, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159579111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(6\/16). Let a = m + -4. Suppose x - 4 + 2 = a. Solve -x*f - f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from bbkkbbkkkkkkkkkbkkk.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3061*h - 3239*h - 4581*h in the form w*h + u and give w.\nAnswer: -4759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 - (2 - (0 - -2)). Suppose -4*c + 5*g - 2*g = -10, f = 4*c + 3*g. Let v = 6 + c. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 2. Suppose 29*j = 148 + 1621. Let s be (1 + (-6)\/14)*(-54 + j). Let b(x) = -135*x - 55. Determine s*b(y) + 110*v(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -23873 (b) 66\/31 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2880*b + 2071*b - 59866 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**2\/2 - 1. Let b(l) = -2*l + 3. Let a(x) = -6*x + 10. Let d(m) = 3*a(m) - 10*b(m). Give r(d(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 62880?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:05 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194920.999917129 - -194921. Round x to seven dps.\nAnswer: 0.0000829","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 291*i**2 + i - 7. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000356264 to 7 decimal places.\nAnswer: -0.0000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144\/36*1*15. Let a = l - 58. What is the closest to 0 in 0, a, 0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -98, -144, -192, -242, -294, -348?\n\"Answer: -h**2 - 41*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171)\/(sqrt(9) + sqrt(90)\/(sqrt(40)\/sqrt(4))).\nAnswer: 1 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1767*m**6 + 16*m**3 - m**2 - 11*m + 29 wrt m?\nAnswer: -212040*m**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**5\/60 + 13*r**2. Let x(u) = 12*u**2 - 3*u. Give x(l(g)).\nAnswer: 12*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*1)\/sqrt(11))\/(-1*1*sqrt(5))*2.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o + 9. Let i be j(7). Suppose 6 - 15 = 3*r. Let f be (-8)\/(-6) - i\/r. Solve 3 - 1 = f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Calculate (25 - 65) + 2045\/50.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2488461983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2720\/(-30))\/(26\/39). Sort -3, t, -1, 1 in increasing order.\nAnswer: t, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -28*z - 19. Does 26 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 - 142 - (3 - -4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(2))\/sqrt(12) + 5)*-4 + (-1 + sqrt(2) + sqrt(2) + -2 - (sqrt(84)\/sqrt(7))\/sqrt(6)))**2.\nAnswer: 138*sqrt(2) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**9\/56 - j**8\/112 + 67*j**5\/60 - j**3\/3 - 140*j**2. What is the third derivative of i(d) wrt d?\nAnswer: 1080*d**3 - 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**32*w)**(-1\/8)*(w**25)**(-16) assuming w is positive.\nAnswer: w**(-1617\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13964.6 - -13965. Which is the smallest value? (a) v (b) -0.2 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 13\/1645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdbddmdbdbdddmdddb. Give prob of picking 1 b and 1 m.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.977 - 0.023. Which is the second biggest value? (a) -1\/5 (b) 0.3 (c) 3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/17*(-2)\/(-5). Let q = -0.8 + -3.5. Let x = 4 + q. What is the nearest to -0.2 in o, x, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70430 + 70424. Let y be 324\/(-680) + (-2)\/(-4). Is y bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270*(-52)\/(-33696) + (-6)\/36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5241 + -44?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:23 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 64*z. Let i(j) = -127*j**2. Determine i(b(w)).\nAnswer: -520192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -3*(sqrt(156) - sqrt(156)*-1))\/(sqrt(84)\/(-2*sqrt(7))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*i - 86, 5*t - 338 = 2*i - 123. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/3*(3 - 1). Let v = 38 + d. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25912 = -v, 20643 - 3390 = 2*r + 5*v. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Let k = w - 0.9. Suppose 0 = 15*z + 77 - 32. Which is the third smallest value? (a) 1\/7 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 15 = y, 5*u + 25 = -5*y + 2*y. Suppose y = 5*j - j - 112. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u - 3824*u**2 + 145*u - 73*u + 1 - 16554*u**2.\nAnswer: -20378*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 + h**2 - 38*h**2 in the form n*h + a*h**2 + g and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:23 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011100 + -100?\nAnswer: 1000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10493600057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*o - 190, 2*k - 4*o - 206 = -k. Let f(q) = -k + 132 - 65. Let b(h) = h**2 - 3*h - 9. Let a(r) = 2*b(r) + 22*f(r). Factor a(w).\nAnswer: 2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/459 - 1085\/177174. Let p = v + -389\/1158. What is the nearest to -7 in -0.5, p, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 5536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/7 + 288*v**4\/7 - 6107*v**3\/7 + 16290*v**2\/7 - 1496*v = 0?\nAnswer: -308, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 203\/14) + (-8)\/(-12). Factor -i*y**3 + 0 + 2\/3*y**2 - 2\/3*y.\nAnswer: -y*(y - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 95043.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -1 + 3 - sqrt(304)) + -5*sqrt(304)*-1)**2.\nAnswer: 80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(14\/105*2145\/2288).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3301023 times 1.3\nAnswer: 4291329.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 24*n - 22*n - 7, -5*n + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 857, 1287?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.518883ug in grams?\nAnswer: 0.000009518883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*q - 12, 0 = -279*n + 275*n - q + 1. Let p = 1.2 + 0.3. Let x = 2 - p. What is the closest to n in 0, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, 4, -201428 in descending order.\nAnswer: 4, 2, 1, -4, -201428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)*n*(n**(-3)\/n*n*n)\/n*(n\/((((n\/n**(-2\/7))\/n)\/n)\/n))**(-17\/3)*(n*n\/n**(5\/6)*n*n*n**0)**(1\/49) assuming n is positive.\nAnswer: n**(-15077\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -83*k**6\/30 + 65*k**4\/12 + 27*k. What is the third derivative of d(g) wrt g?\nAnswer: -1992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(479\/((-68018)\/5112)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1697, 3479, 5263, 7049?\n\"Answer: b**2 + 1779*b - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 - -1)*-83. Let y = q + 79. Calculate the remainder when y*5\/(-110) - (-1164)\/11 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by 1.\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5967\/(-850))\/39*(-30)\/18*275\/(-264)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-3)\/(-6)*0. Suppose -2*u - 10 = i, 0*u + 20 = 5*r - 2*u. Solve r*v = 4*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 13. Let g = b + 11. What is the remainder when 16*2 - -1 - -1 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9206966 and -17583.5.\nAnswer: 9189382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 4*u - 10. Let h(b) = -3*b**2 + 5*b - 10. Let i(o) = -3*h(o) + 2*n(o). Give i(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -7*r + 71. Solve -4*m = -0*m + r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -57\/351106?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122735298.\nAnswer: 2, 3, 7, 229, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 2*c + 13. Let d = 151 + -150. Let z(h) = 45*h + 5 - d + 3 - h**2 - 44*h. Give -6*y(k) + 11*z(k).\nAnswer: k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39408912, -39408924, -39408938, -39408948, -39408948?\nAnswer: -39408932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1 + (sqrt(42)\/sqrt(3))\/sqrt(7))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 235*x - 6306. What is q(20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 58*o - 1293. Determine j(22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 3*w + 4. Let h be o(3). Suppose h*s - 2 - 32 = 5*c, 3*c - 6 = 0. What is the greatest common divisor of s and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 0.2 (c) 0.03 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6))**(2\/77)*(r**(1\/7)*r*r)**28)**39 assuming r is positive.\nAnswer: r**(179712\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*a**3 - 439*a**3 - 500*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -3243?\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v + 4172479 = 120*v - 3717003. List the prime factors of v.\nAnswer: 47527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -57, -148, -271, -420?\n\"Answer: c**3 - 25*c**2 + 15*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -34*g. Let a(j) = 41*j - 504073. What is x(a(q))?\nAnswer: -1394*q + 17138482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/700 and -34\/3.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850463217.\nAnswer: 3, 191, 494743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, -4078, -15495, -37780, -74569, -129498, -206203, -308320?\nAnswer: -439485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496b (base 14) to base 11.\nAnswer: 9709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/2925 (b) 2\/5 (c) 2.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -209?\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - 3057\/(-13). Let i = -237 + z. Put -1\/4, i, -1\/5 in descending order.\nAnswer: i, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 5*q - 234. Do q and -37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 496190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -50*x - 1. Let t(s) = -248*s - 5. Calculate 11*o(w) - 2*t(w).\nAnswer: -54*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44915mg in tonnes?\nAnswer: 0.00000000044915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 310406316 from -512.97.\nAnswer: -310406828.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {s: 3, z: 2, u: 3, j: 1, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 4*u - 1\/3*u**2.\nAnswer: -(u + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 53*h - 9. Let c = -12 + 16. Is r(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2823*v + 2828*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/8)*m)\/m**(1\/10))**4 assuming m is positive.\nAnswer: m**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*u + 8*u = 6 + 261, 4*u = -39*w + 307 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/4 (b) 1 (c) 3081 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295 is divided by 698.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-4)\/((-4)\/2). Find the third derivative of 2 - 2 + 57*i**2 - 71*i**2 + s*i**4 wrt i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssseseeeee. Give prob of picking 1 s and 3 e.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -30. Calculate the remainder when 6 + (-410)\/70 - (-2768)\/28 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5918 (base 12) to base 16\nAnswer: 26e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/(-767) + 159\/(-234))*-12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - r = -341 - 3514, -3*r + 565 = t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517681607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 75, 103?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*j - 61, 0*j - 200 = 4*d - j. Let k(l) = -l**2 - 60*l - 189. What are the prime factors of k(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x - 2*x. Let t(g) be the third derivative of -3*g**5\/20 + 11*g**4\/24 + g**3\/3 - 4*g**2. Let k(w) = -4*w**2 + 5*w + 1. Give x*k(n) - 6*t(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4 - 36) + (-19 - (16 + -17)) + 24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1336*d*m**2 - 9*d*m*v - 42*d*m - d + 541*m**2*v - m*v - 3*m + 3*v with respect to v.\nAnswer: -9*d*m + 541*m**2 - m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:46 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23815608031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:49 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3529645 is divided by 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 9. Suppose -474 - 559 = -4*y + 5*p, -3*y = n*p - 768. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 145. Solve o*f = -8 - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, x: 5, a: 5, l: 2, z: 2}. What is prob of picking 1 g and 1 l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68581270?\nAnswer: 2, 5, 127, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7819 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*-58176.83\nAnswer: 174530.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1679531 * 0.06.\nAnswer: 100771.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 7*h - 4*h + 5*h + h**3 - 5 as c*h**2 + t + q*h + j*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 6*a**3 - 1025*a**2 + 78*a + 1025*a**2 + 37.\nAnswer: 6*a**3 + 78*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-6)*685\/1370\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 742 - 740. Which is the third smallest value? (a) -5 (b) -4.5 (c) -1\/4 (d) r (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-4))\/(42\/(-140)). Let t = -30 + v. Let o be (-84)\/9*(-6)\/4. Solve -o = 2*u - t*x, -5*x - 1 = -4*u - 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/196 - -37\/49. Let s = -166.895 + 167. Let t = -0.055 + s. Which is the closest to 0.1? (a) -0.1 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t + 3. Let x be h(0). Suppose -x*l = -9*l + 420. Let j be (l\/(-8) - -2)*4. Which is smaller: -26 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5862437 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/661 (b) 0.5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-2)\/(-4)). Let s(c) = -c**3 + 3*c**2 - c + 3. Let h be s(3). Suppose h*o = 4*o + 4*t + 8, -13 = 5*o + 4*t. Sort o, a, 0 in descending order.\nAnswer: a, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 803 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/36)\/((-6)\/8). Let s = 11\/5 - 67\/35. What is the smallest value in 5, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 876029, 1752059, 2628089, 3504119?\n\"Answer: 876030*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -51*o**3 - 540*o**2 + 9*o + 141. Let r(p) = -5*p**3 - 54*p**2 + p + 14. Let t(n) = -2*f(n) + 21*r(n). What is the second derivative of t(a) wrt a?\nAnswer: -18*a - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from jjckacjaajajyabyjjkj.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1045*y**2 - 13 + 48 - 2091*y**2 + 1039*y**2 in the form o + j*y**2 + v*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 61*n**2 + 5*n - 3. Let s be p(3). Let r be (-5)\/(-10) + s\/(-6). Let y = -49 - r. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 0 + 8\/7*r**3 + 4\/7*r**2 - 4\/7*r**4 - 8\/7*r = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -5 - (10 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7107, 14213, 21319, 28425?\n\"Answer: 7106*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, b: 1, p: 5, x: 2, i: 3}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 123. Suppose 161*h - 164*h = -57. Calculate the greatest common divisor of k and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1.1 (b) 1 (c) -147 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/24 + 7*f**3\/2 - 11*f**2. Let x be i(21). Suppose x - 1\/2*r**2 - 1\/4*r**3 - 1\/4*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6128789 is divided by 54237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -13*f**2 - 6*f - 2. Let m(q) = 15*q**2 + 5*q + 2. Calculate -6*m(d) - 7*p(d).\nAnswer: d**2 + 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + v - 76 = -v, 2*t + 68 = -2*v. Let g(k) = -k**2. Let s(c) = 2*c**3 + 18*c**2. Determine t*g(d) - 2*s(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*c + 1512 = -9159 - 3728 - 2728 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3867721*b**2 + 760621*b wrt b?\nAnswer: -7735442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6345 and 5032525.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771 - 939. Let l = 1 + 0. What is the remainder when (0 + l\/(-2))*o\/2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -414, -417, -436, -477, -546?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 = 3*y + 2*y, 4*q - 3*y - 6 = 0. Suppose 0 = -q*m + 5 + 10. Let b be (14\/(-8))\/((-1)\/4). Solve -m*f - 13 = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1074*n**5 - 2*n - 99 wrt n?\nAnswer: -21480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 7*i + 48 = 0. What is the remainder when 277 is divided by 105\/i*(3 - 5 - 0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (15 + -9 - (3 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let z be 1\/(-2) - (-90)\/36. Let b(j) = j**z - 92 - 2*j**d + 4*j + 93. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-125)\/100)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-3\/2)\/z*z*z))**37)**(1\/24)*((z*z**(-8))\/z**(-2\/31))\/(z**(2\/3)*z)**(-5) assuming z is positive.\nAnswer: z**(5521\/1488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73544853 >= 73544855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 6:50 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 252612*h = -252635*h + 28, 0 = 4*v - 4*h - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47 (b) -0.2 (c) 0.256 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 9191373.\nAnswer: -8\/9191373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -158*q**5\/15 - 13*q**4\/12 - 7*q**3\/6 - 14*q**2 - 53. Find the second derivative of d(x) wrt x.\nAnswer: -1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 473*b + 922. What is y(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 278 - 460. Calculate the remainder when 525 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 4 - 15 + 467*y to the form d*y + v and give d.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 3*n - 2*n + (-1 - 3 + 5)*(-2*n + 0 + 0) - n + 0 + 0.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.1 (c) -2 (d) -26.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 74*x + 7 + 9 to the form r*x + o and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310 - -325. Solve -8 = -m*u + 19*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 179*p**2 + 688*p + 370. Give i(175).\nAnswer: -1730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*l + l. Which is the second smallest value? (a) 2.7 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 2. Let b be i(0). Let g = 122\/261 - 20\/29. Let p be (-8)\/28 - 31\/(-35). What is the closest to p in b, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:55 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 15 = 2*p - 31, -3*b = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 1. Let b be 0\/2 + -5 - -4. Give h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x - 16. Let a be q(2). Solve 0 = -9*u + a - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {p: 2, o: 1, y: 1, n: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/10)\/((-17)\/(2754\/(-20))). Let s = n + -14\/25. Let m = 0.2 + -0.4. What is the biggest value in 2, m, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/15*(-40)\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11741473.11 to the nearest one hundred thousand.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -46212 (base 8) to base 2\nAnswer: -100110010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 13*b + 8. Let g be i(-13). Let p(h) = -h**2 - 3*h - 3. Let l(z) = 4*z**2 + 8*z + 8. Determine g*p(f) + 3*l(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128.42 - 7.58. Is h at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w + 99. Let j be y(-9). Let p(q) be the second derivative of 0 + j*q**2 - 15*q + 2\/3*q**3 - 5\/3*q**4. Find the second derivative of p(d) wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 11060030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920889.\nAnswer: 3, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 - 8*j + 4. Give w(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + -3*(sqrt(3) + (sqrt(27) - sqrt(3)))*6 + 5.\nAnswer: -54*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 21*k - 82. Calculate q(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 7*l - 3. Does 15 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10592607.6 to the nearest ten thousand.\nAnswer: 10590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173092701?\nAnswer: 3, 57697567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let c(f) = -f**2 - 1. Let t be 3*(2 - 15\/9). Let x(m) = -1 + 5 - 4*m**2 - 5. Let n(h) = t*x(h) - c(h). Give j(n(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5147879, 5147876, 5147873, 5147870?\nAnswer: 5147867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -104541*m + 1. Let q(y) = -32*y. Calculate j(q(w)).\nAnswer: 3345312*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314059.\nAnswer: 314059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 7:46 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11205, 11094, 10777, 10146, 9093?\nAnswer: 7510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 751 + 2303. Let o = q + -232. What is the greatest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - r - 15*r to l + u*r and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**9\/i))\/i)\/(((i*i\/(i\/((i\/i**(-9\/4))\/i)))\/i)\/i*i))\/(i**7)**(-10\/3))**12 assuming i is positive.\nAnswer: i**157","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -6*k + 97. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 + 2 = 3*i, k - 3 = -i. Solve -k*n - 5*s = -33, 3*s - 7 = 2*n - 0*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.21 (c) -0.08 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180 a factor of 65987956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.2 + 35.28. What is the nearest to 0 in q, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.229 + 23.629. Let w = 23 - o. Let l be ((-9)\/(-15))\/((-7)\/(-5)). Which is the third smallest value? (a) l (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -122, 70003 in decreasing order.\nAnswer: 70003, -2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose -3*g - 2*g + i = 0. Calculate the remainder when 26 is divided by -2*g + (-16)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19636.\nAnswer: 2, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18117297 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 6*l + 0 + 0*l**5 - 2\/15*l**6 - 1\/3*l**3 + 0*l**2 + 0*l**4. Find the second derivative of t(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -3. Let f = 30.55 + -30.25. What is the third smallest value in f, -7, 0.5, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/991?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 110?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 431812057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35186, 70769, 106352, 141935, 177518?\n\"Answer: 35583*u - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22451, -22440, -22421, -22394, -22359, -22316?\nAnswer: -22265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1197280.\nAnswer: -3\/1197280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-1*5)\/((sqrt(80)\/sqrt(2)*2)\/sqrt(10)) + 3.\nAnswer: -5*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -4, 2, 26, 74, 152, 266?\n\"Answer: s**3 - 13*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let a(g) = -228*g. Let r(h) = -230*h. Let q(u) = 2*a(u) - 3*r(u). Calculate q(p(t)).\nAnswer: 468*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from jurcccjczu.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.09, -3\/4, -160632, -1 in increasing order.\nAnswer: -160632, -1, -3\/4, -0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -164283, -328612, -492941?\n\"Answer: -164329*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5 + 13. Let l(s) be the second derivative of 1\/10*s**5 + 0*s**3 - 1\/21*s**7 + 0 + 0*s**4 + 0*s**6 + 0*s**k - s. What is g in l(g) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021269.8 rounded to the nearest one hundred?\nAnswer: 2021300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159241 - 109629. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**6 - 18*l**5*r**3 + 18*l**2*r + 8*l*r**3 + l*r**2 wrt l?\nAnswer: -840*l**3 - 1080*l**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 91, 131, 171, 211?\n\"Answer: 40*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.071795 kilometers to meters.\nAnswer: 3071.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470966705?\nAnswer: 5, 11, 8563031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 5)*(9 + (-60)\/5). What is the fourth smallest value in -1, t, -10, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 89 (b) 1\/3 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (143 - 174) + 32 + 119?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 15. Let i = p + 22. Is 5 a factor of 112\/i + (-32)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -372 greater than -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/42)\/(4\/16). Let z be -3 - -5 - (-2918)\/(-168). Let u = z + j. Calculate the common denominator of u and 49\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 2*s. Let k(d) = -d**2 - 5*d + 4. Let b be k(s). Put -2, b, -1 in descending order.\nAnswer: b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajwwawwaswauawaawjw. What is prob of picking 2 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Let k = 2 + 1. Suppose -r = k*r + 12, 3*f - 12 = 4*r. Put f, a, 4 in ascending order.\nAnswer: f, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*1 - sqrt(19)*1*-5.\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*y + 114. Suppose 3*i - 13 = y. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 245 = q - g, -15 = -5*g. What is the common denominator of -81\/4 and (-4)\/6 - q\/(-66)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(931))**2 + -5.\nAnswer: 8374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2 + 6. Let i(g) = 4*g. What is i(d(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -378122799 to the nearest ten thousand.\nAnswer: -378120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -929*r + 1308. Determine j(4).\nAnswer: -2408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -p - 17, 7*s - 6*s - 2*p - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340022009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -154128790498.\nAnswer: 154128790499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -3*(sqrt(132) - sqrt(132)*3) - sqrt(132) - sqrt(132)) + sqrt(132))\/((sqrt(60) - sqrt(240))\/sqrt(5)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 2, b: 6, c: 2}. What is prob of picking 2 b, 1 w, and 1 o?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1.6, -0.2, -3\/7, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15176 or -15175?\nAnswer: -15175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123376 and 1542200.\nAnswer: 3084400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 9*b. Let y(s) = s**2 - 3*s. Let m(d) = -2*x(d) + 7*y(d). Let t be (-88)\/(-12) + (-2)\/6. Is 14 a factor of m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001175947 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(2\/4)*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -583, 15.7, 0.5, -11, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 356 + 26799?\nAnswer: 26aef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -69. Suppose 3*x - 84 = 3*i, 2*x - 35*i - 55 = -32*i. Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -796529385410.999996482 - -796529386049. Let c = b + -638. What is c rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + 13*u**2 - 37*u - 5. Determine r(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 318234131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.065 + -0.565. Let j = 0.23 - 0.17. Which is the closest to j? (a) k (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -62, -54, -28, 22, 102, 218, 376?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/180 + k**5\/60 - k**4\/24 - 37*k**3\/2 + 98*k. Let r(a) be the second derivative of u(a). Let s = -3 + 5. Give r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1309 - 912. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 - 79 = -4*l. Let a be (3 + (-84)\/8)*(-2052)\/l. Calculate the greatest common factor of 63 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 37*o**2 + 29*o**2 + 0.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*1)**2 + 4 - (5 + -1 + (sqrt(5) - sqrt(10)\/sqrt(2))))*5.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350244 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**3*g**3 + 2*c**3 + 18*c**2*g**2 + 5*c*g**4 - 10*c*g**2 + g**3 wrt g?\nAnswer: -54*c**3 + 120*c*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168292 + 168454.879. Let u = f + -163. Let x = u - 0.051. Round x to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -41. Let o(q) = q**2 - 2*q + 1. Let v = 5 - 1. Let j be o(v). Calculate the greatest common divisor of j and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 6487698?\nAnswer: 19463094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w)*(w - 2*w + 2*w) + 7*w - 5*w**2 - 7*w - 2*w + 2*w + 8*w**2 + (0 + 1 + 0)*(w**2 - 6*w**2 + 3*w**2) + (0*w - 3*w + w)*(3*w - 6*w + w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(91*z - 91*z - 2 + 3*z**2).\nAnswer: -15*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m + 3*m - 3*m)*(-5 + 2*m + 5)*(-4 + 4 - 2*m)*(-6 + 0 + 3) to b*m**2 + p + f*m**3 + t*m and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*z - 4*p, 11*p - 14*p + 13 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -8\/17 (c) 5 (d) -2\/9 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -2, 3\/8, 0.04298?\nAnswer: 0.04298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 6*g + 3*g)*(2*g - 6*g - 3*g + (1 + 1 - 4)*(-g - 2*g + 11*g)) to the form t + s*g**2 + j*g and give s.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4 - 2*y + 2*y + 2*y. Let z be d(6). Suppose 0*n + z = 2*n. Calculate the lowest common multiple of n and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-1089)\/4752*24).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + x + 1. Let y be t(-1). Let q be (-20)\/(-7) + y\/21. Suppose 0 = -q*r + 27 + 3. Calculate the highest common factor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74460653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 + 124*d + 432 = 0. What is d?\nAnswer: -27, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 + 9*y - 199 + 3*y - 24*y + 7*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*h + 32 + 217, -h = -3*k - 233. Let v = k - -79. Suppose -2*p + 0*b + 2*b + 14 = v, 2*p + b = 8. Solve 2 = w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/(-1190)*14\/(-8))\/((-2)\/(-548))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17642 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101197 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843526553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 765339542 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 5*s + 18, -s = 5*k - 1. Sort 4, s, 5.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*l + 3*h + 5*h + 238 - 147, 4*l + 4*h - 68 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004733800?\nAnswer: 2, 5, 7, 717667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-5))\/(j*j*j**(1\/2)\/j))\/(j\/j**1)**1 assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*195840\nAnswer: 78336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -633.84 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9526 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 148. Let h(b) = b**3 + 19*b**2 + b + 22. Let m be h(n). Solve 0 = -q - m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 + 5*y - 1. Let h(w) = 9*w**2 + 0 - 6*w - w**2 + 2. Let c(f) = -4*h(f) - 5*i(f). Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35670)\/3366 - 8\/22) + (-4 - (-16 + 1))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/3, -4, -7 in decreasing order.\nAnswer: 2\/3, -0.5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 14. Suppose 0 = -5*c + 75 + b. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1 + 3\/2*l**2 + 4*l. Suppose 5*b + 10 = -5. Calculate a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/252*((-21)\/6)\/7.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572.75 times -2?\nAnswer: -5145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -18*d + 8. Let b(s) = -19*s + 6. Let g(j) = -4*b(j) + 3*f(j). Let z(o) = 6*o**2. Determine g(z(x)).\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480b8 (base 15) to base 14.\nAnswer: 5d9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516974 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1701 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 6*n + 1. Let j be s(4). Let u = j - 7. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191.06 + 180. What is s rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774214917.\nAnswer: 3, 7, 179, 205963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41211244 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-77) + 8\/(-22)*-346. Suppose 3*a + 90 = 8*a. Calculate the greatest common divisor of u and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13577 + -13579. Sort r, 1, -70, -3 in descending order.\nAnswer: 1, r, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -20*d**2 - 2*d - 811. Let m(t) = 54*t**2 + 5*t + 2433. Calculate 8*l(n) + 3*m(n).\nAnswer: 2*n**2 - n + 811","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 + 11*n**3\/6 - 12*n**2. Give f(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -2, -290, -5, 46, -4 in increasing order.\nAnswer: -290, -5, -4, -2, 46, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) - 1*sqrt(1715))\/(sqrt(40)\/(sqrt(72) - sqrt(8)) - sqrt(5)) + 0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (96\/56)\/((-3)\/42). Let q = 27 + p. Suppose 2*y - 31500000 = -q*y. What is y rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - 73. Let p = f - -92. Which is the nearest to -1\/3? (a) p (b) 1 (c) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361 less than or equal to 3223032\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3 - 4*p**2 + 10*p + 12 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + o - 227 = -4*o, -230 = -4*j - 2*o. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s - 19*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -47*t**2 + t - 12. Let z be a(-2). Let v = 8485\/42 + z. Sort v, 0.3, -4.\nAnswer: -4, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163846 or 165627?\nAnswer: 165627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1259*m**2 + 430*m + 1. Calculate o(1).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4847\/15 - 323. Let n = 0.07 - -0.93. Let j = -0.5 + n. Which is the third smallest value? (a) 2\/5 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*z = 13, 11 = 2*p + 5*z - 13. Let l(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/3 + y**2\/2 + 4*y. Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*r - 765, -16*r - 730 = -21*r + 4*c. What is the greatest common divisor of r and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in 4, 2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -48, -175, -430, -855, -1492?\n\"Answer: -7*m**3 - m**2 + 11*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 - -0.02345?\nAnswer: 669.02345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8804 divided by 124?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 - 3315?\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-88)\/55. Let p(o) = o**2 + 3 + 2*o - 3. Let i(f) = 4*f**2 + 11*f - 1. Let c(g) = t*i(g) - 11*p(g). Differentiate c(x) with respect to x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5\/3, 5, -5 in increasing order.\nAnswer: -5, 0.3, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -1\/3*y**3 - 5 - 3\/2*y**2 + 0*y. Find the second derivative of w(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 70, -135, -14.\nAnswer: -135, -14, 3, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - -0.04. Let z = 4.98 + n. What is the third smallest value in -1\/3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 2396. Let t(k) = 4*k + 2395. What is -3*p(w) + 2*t(w)?\nAnswer: -w - 2398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -101*n**2 + 2*n + 6. Let f be a(-3). Is f\/(-18) - (-1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -459742328, -459742324, -459742318, -459742310?\n\"Answer: t**2 + t - 459742330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 4, o: 3}. What is prob of sequence ee?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13536138 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -29*p - 24*p + 1 + p**3 - 7*p**2 + 54*p. Calculate w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10760, -10759, -10758, -10757, -10756, -10755?\n\"Answer: r - 10761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3\/7 (c) -4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisisss. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32812a (base 11) to base 14.\nAnswer: d8980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**3 - 5*b**2 - 2*b + 1. Let s be a(-2). Let q = s - 45. Solve -q*d = -h - 3, -2*d + 7 + 2 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15. Let o be (r + 0)*(-14)\/(-14). Suppose 0 = 3*v + 15, m + 3*v = -v - o. Solve -2*h + 3*i - m = 0, 2*h + 0*i + 2*i = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 1630965?\nAnswer: 17940615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 12 + 12)*(-5*y**2 + y**3 + 5*y**2 + 20 + 21*y**3 - 20 - 2*y**3 - y**3 + y**3 + (0 + 0 + 2*y**3)*(2 - 4 + 0)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3189, 3189, 3181, 3165, 3141, 3109, 3069?\n\"Answer: -4*c**2 + 12*c + 3181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 + 8*q**2 + 4*q**2)*(-10*q - 15*q + 23*q) to the form k*q**2 + h + v*q + f*q**3 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 24*v - 28. Let k be t(-23). Sort k, 27, 5 in ascending order.\nAnswer: k, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 56. Let v be 4\/(-2)*(-9)\/(-6). Sort 2, v, m.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.575 - -0.075. Which is the closest to -5? (a) -1\/8 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4544 and -35\/2456032.\nAnswer: 4912064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 39 = -3*t, 3*t = -2*t + 3*k + 63. Let b(f) = f + 1. Let c(s) = 5*s + 3. Give t*b(y) - 4*c(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1076)\/(-44) + 24\/44. Suppose 5*f = -5*r + z, -3*r - 9 = -4*f + f. Which is the second smallest value? (a) -15 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4*x**2 + 6*x**2 + 40.\nAnswer: 2*x**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.681 + -0.181. Let i = 75.3 - 72.3. What is the closest to x in i, -5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*z**3 + 428*z**2 - z + 49734 with respect to z.\nAnswer: -18*z**2 + 856*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104009*m + 103800*m = -1463 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 + (-58 - -121) - -114?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4 - 28*i**3 - 6*i**2 + 14*i wrt i.\nAnswer: 72*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 3. Suppose -2*n + 5*j = -5*n + 53, 0 = 5*n + 3*j - 67. What is the remainder when 6*p\/(-3)*-26 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 8*d**2 - 9*d + 3. Let z be r(9). Let c(t) be the second derivative of -t**4\/12 + 5*t**3\/6 - t**2 + t + 2744. Determine c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 605955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/4 + 24537*v + 200688123 = 0.\nAnswer: -16358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6736)\/(-152) + (-48)\/152. What is the greatest common factor of n and 15686?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.227595 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54463.42 minutes to seconds.\nAnswer: 3267805.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 6*q)*(4 - 2 - 1)*(7 + 1 + 2).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i - 5. Let r(y) = -y**3 + 3*y**2 - 4. Let j be r(3). Does 2 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 283, 290?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -30*s**2 + 35*s - 33. What is r(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 4*f - 6*f)*(-79*f + 151*f - 97*f) + 31*f**2 - 3*f**2 + 58*f**2 as m*f + a + t*f**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 + 3 = 0. Let o be a\/4 + 57\/12. Suppose -3 = -3*s - 3*u, o*s - 14 - 7 = 3*u. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62760 and 33472?\nAnswer: 502080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -148? (a) 0.14 (b) -0.2 (c) -75 (d) 0.02 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-1998)*-296 + -180?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**2*l**3 + 1151*j*l**2 - 2*l**3 - 9281*l wrt j.\nAnswer: 24*j*l**3 + 1151*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1850 = -6*b. Let g = -196 + 551. Suppose -b - g = -5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x*x**7))*x**(-1))\/(x\/(x**7*x*x)*x**(-1\/10)*x) assuming x is positive.\nAnswer: x**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 8 (b) -530 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -4.45, 2 in descending order.\nAnswer: 3, 2, -3, -4, -4.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -7. Suppose -q + b*q + 13 = -j, -3*q = 4*j + 7. Suppose -c - j*c = -24. Solve -3*l + c*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - -9. Let k = n - 68. Let f be ((-12)\/(-10))\/(5\/(25\/k)). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmqn when four letters picked without replacement from {l: 3, m: 5, n: 1, d: 1, w: 2, q: 1}?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -36*j**2 + 961*j - 9014. Let w(v) = 7*v**2 - 192*v + 1803. Let o(r) = -2*q(r) - 11*w(r). Determine i so that o(i) = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = 111*l + 253. Solve -l*f - s = 24, -2*s = -12*f + 8*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -10, -15, -18, -19?\n\"Answer: r**2 - 10*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -11032.\nAnswer: -33096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*h - 2*h**3 + h**2 + 120*h - 66 - 244*h to k*h**3 + w*h + l*h**2 + c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**2\/2 + 2*a + 3. Let x be o(0). Suppose -3*i = -x*h - 82 - 3, -4 = -h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 - 5\/6*b**4 + 0*b - 4\/3*b**3 - 14*b**2 + 7\/15*b**5. Factor u(w).\nAnswer: 4*(w - 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 v when four letters picked without replacement from cvcpcccvvcv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5719 and 1505.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24925.\nAnswer: 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25939, 48955, 71975, 94999, 118027, 141059?\n\"Answer: 2*o**2 + 23010*o + 2927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 + v - 7. Let a be g(7). Let d be a + 3 + 1 - 7. Find the common denominator of 6\/(-3)*(-8)\/d and -64\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2802 + 2835. What is the highest common divisor of s and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22291, -3, 3.\nAnswer: -3, 3, 22291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:47 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -52. What is the remainder when 35 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 14*v**2 + 5*v. Let a(u) = -u**3 + 13*u**2 - 4*u. Calculate 4*a(f) + 3*g(f).\nAnswer: 2*f**3 + 10*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(((-260)\/455)\/((5 - 1) + -5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(156))\/(-1*sqrt(300)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:57 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 41\/21)*2. Sort -3, 1\/3, l in descending order.\nAnswer: 1\/3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3760 + -3763. Sort q, -2, 133, 3 in descending order.\nAnswer: 133, 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-112810)\/(-4) - ((-205)\/82 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**5\/60 - j**4\/12 + j**3\/3 + 3*j**2\/2 + 11. Let f(a) be the second derivative of z(a). What is f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*m + 4)*(-2 - 2 + 3) + 2 + 2*m - 2 - m - 5*m + 4*m - 49*m + 40*m - 50*m + (m - 3 + 3)*(-1 - 10 + 0).\nAnswer: -68*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033907139 to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 54. Suppose -3*u - 30 = -2*t, 0 = -6*t + 3*t - 2*u + 19. Calculate the remainder when a is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*2*6 - (sqrt(117)*2*1 - sqrt(117))**2.\nAnswer: -117 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 = 327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275) + sqrt(275)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 21*o + 141 + 206 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/47906 or -1?\nAnswer: 15\/47906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7182799563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose -c - 5 = b*c, 4*c = 2*g - 44. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/20 - 13*l**4\/24 - l**3\/3 + 23*l**2 - 3. Let w(s) = 2*s + 8. Let v be w(-6). Let b be n(v). Solve 5 = j + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 5. Let x = -3 - f. Find the third derivative of -2*n**3 + 3*n**x - 2*n**2 - 3*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7984800 divided by 13308?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - sqrt(162)*2))\/sqrt(9) + (sqrt(18) - sqrt(198)\/(sqrt(11)*2)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 4 + 4 - 2*p in the form m + i*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - g**2 + 2*g)*(3*g + 105317 - 105123 - g) in the form c*g + p*g**2 + t*g**3 + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3170.076 litres to millilitres.\nAnswer: 3170076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8848*f = 9271*f - 9729 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 47*p - 243. Let n be c(41). Solve 61*x - 10 = 60*x - n*a, -7 = -x - 2*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177283444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 2\/3 (b) 4 (c) -1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16*k + 2*k. Suppose 0 = -50*q + 46*q + 136. Is q smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0 - 2*b + 0)*(4 - 9 - 2)*(-4 + 4 - 2).\nAnswer: -14*b**2 - 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 2*y = -o + 5, -2*y = 3*o + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 47 - -104 - -22.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 plus -7.1474987?\nAnswer: 462.8525013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + 8 = 0. Let m(p) = -p**2 - a*p + 34 + 0*p + 3*p. What is the tens digit of m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 11*w**2 + 14*w + 9. Let f be m(-9). Suppose -2*x - 72 = -4*a, 4*x - a = -x - 216. Let s = x + f. Solve 0 = 3*k - 2*k + s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2743 + 0.3.\nAnswer: -2742.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3694*y - 292803. What is i(-81)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4652286322?\nAnswer: 2, 29629, 78509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 19 = 6. Solve 6*g - 3*g + 7 = -w*a, -3 = 4*a + 5*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 1:25 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -18 + 0*x**2 + 0*x - 2\/39*x**3. Find v, given that d(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 5.04. Let d = 277\/6 - 140\/3. Which is the nearest to 0.2? (a) i (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 37781\nAnswer: -113343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-70) + -3 + 192\/525?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -71?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3461643059.\nAnswer: 7, 1901, 260137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3621184607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 20*v**3 + 23*v**3 + 16*v**3 - 65*v**3.\nAnswer: -6*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1782)\/(-486)*8\/(-11)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -505087030 equal to -505087030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -395\nAnswer: 19.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i = -20*i - 5*i + 672 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 > 66\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Let b(g) = g. Calculate -5*b(d) + x(d).\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 38, 47, 40, 17, -22, -77?\n\"Answer: -8*j**2 + 49*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**4 + 28*k**3 - 378*k**2.\nAnswer: 168*k + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1120\/5931 + 22\/659. Solve 0 - 8\/9*q + o*q**2 = 0 for q.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6. What is the common denominator of (-52)\/(-10) + (5 - 5) and (-29)\/((-4)\/y*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 0, 4*f + 91*g - 90*g - 36 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 484399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Let o = 131 - 71. Suppose w*v - o = -5*b, 0 = v + 2*v + 4*b - 37. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7908 and 8544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.33143 weeks to seconds.\nAnswer: 2619648.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39561.5 - 39561. Let h = -7.36 - -8. Which is the third smallest value? (a) g (b) h (c) -0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = 20*i + 180. Suppose 29*j + i = 34*j. Let r(d) = -2*d**2 + 6*d - 1. Determine r(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2587451, -5174958, -7762465, -10349972?\nAnswer: -12937479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*x + x + 1, 0 = 4*x + 2*t - 20. Suppose 74 = x*y + 4*a, 3*a + 0 = 15. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(432) + -2*sqrt(432) + sqrt(432) + sqrt(432) - (6*(1*(sqrt(147) + sqrt(3)) - sqrt(3)))**2.\nAnswer: -5288 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let h = t + 4. What is the smallest common multiple of h and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 30 = 5*j, j = -w. Suppose k - 2*k = -12. Solve j*q = 3 + k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -48 - (61 + 6 + -9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2322, 4804, 7284, 9762?\nAnswer: 12238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 7*w - 8. Let q be c(8). Suppose -2*m = 3*g - 396, q = g - 2*m + 3*m - 132. Is g + -13 + (-3)\/(1\/1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/3*42\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 0.1 (b) 7 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c + 28 = 0. Let h(y) = -2*y + 10. Let z be h(c). Put 15, z, -3 in decreasing order.\nAnswer: 15, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -38 (b) -2\/35 (c) -0.67 (d) -0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 616 - 20040?\nAnswer: -16121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 + 3*q**2 + 7*q. Let j(x) = 9*x**3 - 5*x**2 - 15*x. Let l(u) = 5*b(u) + 3*j(u). Find the second derivative of l(g) wrt g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-10)*d\/d**(-26))\/((d**(9\/10)*d)\/(d*d*d**12)) assuming d is positive.\nAnswer: d**(501\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.21 and -576.\nAnswer: -576.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:29 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t + 1. Let f be m(1). Let a = -0.016 + -0.384. What is the nearest to f in -3, -3\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Are 2 and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-10 - (9 + -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-64)\/(-468)) + (-1)\/4. Calculate the highest common factor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86182 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 u(m) = m + 3. Does 2 divide u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207.0045 + -0.0045. Let o = c - 206.9999834. Round o to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = p - 14, -11 = p + 3*y - 0*y. Suppose -4*c - 4*j = 0, -p*c - 3*j = -0*j. Solve c = 5*i - 1 + 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3062991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose -y + 4 = -s*n, 3*n - 2*n = 3*y + 3. What is the units digit of 0\/(y\/(-1)) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(4400)*-3)**2)*2.\nAnswer: 396010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 56370.39 hours?\nAnswer: 202933404000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 24 = 3*b. Suppose 5*u + 35 = v + 4*v, -3*u - b = 0. Calculate the remainder when 13 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 - 259 = -51*m - 212 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d = -2*d + d - 586488. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103023 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 13*n - 24*n - 11)*(-n**2 + 103 - 103).\nAnswer: n**3 + 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 208, 207, 202, 193?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u**2 - u - 4. Let f(l) = -l**2 + 1. Suppose 2*w + 3 = -w. Let k(b) = w*p(b) - 4*f(b). Does 11 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(1 - 2 + 2)*(-94 + 4*h**4 + 712*h - 712*h) to x*h**4 + d + b*h + a*h**3 + t*h**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-3))\/((-36)\/162). Let t = 65 + j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 6. Let x(w) = 2*w**2 - 3*w - 1. What is the units digit of x(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735471?\nAnswer: 3, 11, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 9. Let j = -41 - -35. Let b be k(j). Solve -27 - 6*l - 33*l**2 - 19*l + 28*l**2 - b = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y - 3090 = -3942 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118880371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557200 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-2 + 72\/35). Let p be (-5)\/25 + 14\/(-5). What is the second smallest value in p, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {u: 4, a: 2, o: 1, v: 1, k: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0244 + -0.5244. Which is the second biggest value? (a) -6\/7 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6757.7 + 6223. Let k = u - -535. What is the second smallest value in 1\/8, 3, -0.2, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72 + 81)*-2 - -78\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*x**2 + 2 - 2 + 10*x + 108*x**2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1310)*(10 + 57\/(-6)). Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*r - 8. Let h = r + 12. Let f = h - 7. What is the lowest common multiple of 8 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*b**3 - 5 - 315*b**3 + 5.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) 5 (c) 2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*m = 3, 2*m = -2*m + 20. Let c(o) = 3*o**3 + o**2 - 1. Let x be c(-1). Let r = 5 + x. Solve -b*a + 6 = -r*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5 - 6\/4*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k + j, 0*k - k + 7 = -j. Let p = 26 + -116. Let b = p - -105. Solve -5*l = d + 24, d + 4*l = -k - b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 274685 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 + 3.66. Let m = g - -1.440087. Round m to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c**(-15))\/(c**(-1)\/((c*c**(-7\/4)*c*c)\/c)))**(2\/29) assuming c is positive.\nAnswer: c**(-55\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 15. Suppose 3*c + 24 = -21. Let n be c\/(-2) + -3*6\/(-36). Let g be p(n). Let x(y) = 8*y**3 + 2*y**2 - 1. Determine x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9881 - -0.0119. Let y = 133\/610 - -5\/61. Put 0.4, 4, y, g in increasing order.\nAnswer: y, 0.4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19055 + -14690. What are the prime factors of k?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1676902*j**3 + 11615*j - 88 wrt j.\nAnswer: -10061412*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -0.1, 8, 0.3 in ascending order.\nAnswer: -0.1, 0.3, 8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 105 - t + 106 - 346 + 181.\nAnswer: -t + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1 + 2 - 2 + 4*c. Let w be d(1). Suppose -5*g = w*b - 35, 0*b + 5*b = -g + 27. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31433 - -1123?\nAnswer: -30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7129 - -5.76. Round m to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 346 and 6268.\nAnswer: 1084364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 80 = -3*x + 11*g + 5*g, 7 - 27 = -2*x + 4*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + k + 13 = 22, -d - 2*k + 33 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695965201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2760*y - 339519. Determine k(-123).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**4 + 2*m**3. Let x(a) = -3*a - 12*a**4 + 5*a**3 + 4*a - a**4. Let g(l) = 5*q(l) - 2*x(l). Find the second derivative of g(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - 956?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19397, -19297, -19197, -19097, -18997, -18897?\nAnswer: -18797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.241 or 3?\nAnswer: 2.241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5*m + 4. Let v be g(-4). Let t = 18 - v. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 11*h - 13*h. Let a = 14 - h. Solve a = 4*b - 2*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*b**3 - 251*b**3 - 2 + 2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose w = 3*i + 7 - 28. Calculate the smallest common multiple of i and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 474\/54 - (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46736.5 and -0.5.\nAnswer: -46737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.5 + -17. Which is the second biggest value? (a) -0.2 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(756\/(-8))*(-63)\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**7\/147 - m**6\/35 - m**5\/35 + m**4\/21 + m**3\/7 + m**2\/7 - 65*m. Let g(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - ((-144 - -174) + (5 - 1 - 17))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p + 2 = 49*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**3*l**4 + 632*f**3*l**3 + 2*f**3*l**2 - 111485*f**3*l - 5*l**3 wrt l.\nAnswer: 168*f**3*l + 3792*f**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 315 = 127*u - 28*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.071 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f - 1. Let j(a) = 6*a**2 - 6*a + 17. Give -j(y) + 5*u(y).\nAnswer: -y**2 + y - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 17*q - 35*q - 33*q. Let g(u) = -u**2. Give r(g(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1639900 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93991050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4715 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1419 - -1421. Let a(t) be the first derivative of 0*t**h + 0*t**3 + 11\/4*t**4 - t + 5. What is the first derivative of a(z) wrt z?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 4. Let m = -0.2 - l. Sort -2\/9, m, -1\/4.\nAnswer: -1\/4, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - 10*s - 108. Let w be k(-7). Let t = w - -581. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*f**2 - 121*f**2 + 42*f**3 + 249*f**2 + 2*f - 2*f - 2*f**3 - 1 + 2*f**3 + 1 + (-f + 2*f - 2*f)*(3*f**2 - 2*f**2 - 2*f**2) + 3*f**3 + 0*f**3 - 2*f**3.\nAnswer: 44*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3 - 98 - 2022*p**6 + 46*p**2 + 3*p - 5*p + 21 - 3*p**3 + 73 wrt p.\nAnswer: -242640*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-4)\/(-36)*(2 - -1). Suppose -d = -w*l + 3*l - 8, 5*l - 3*d = 0. What is the second derivative of 2*z - 6*z - 20*z**l + 14*z wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 5*q - 2*q + 6 + q. Let x(a) = a**3 - 4*a**2 - 3*a - 3. Calculate the smallest common multiple of l(-3) and x(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 + 5*p + 3. Suppose 3*z - 3*c + 23 = 2*c, c - 19 = 3*z. Let v be y(z). Suppose n = -4*n + v. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 4*b + 5*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44552470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26069161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 36 + 16. Let i(f) = 2*f**2 + 2*f - 6. Let n be i(u). Suppose 0 = -4*k - 2*d + 3*d + 314, 4*k - n = 5*d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6771 + -6771.4. Suppose 18 = 2*a - 4*f, -7*a - 3*f = -2*a + 20. Let t = -49\/8 + 6. What is the biggest value in t, 1\/5, l, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u + 5*i - 25, -5*i = -5*u - 25. Let a be ((-9)\/(-36) - (-2926)\/8) + u. Let o = 685 - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 1 (c) 0.08 (d) -0.9 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -545\/3 - -180. Let k(n) = 12*n**2 + 6*n. Let g be k(-1). Suppose 6*d + g = -12. Is d not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(27) + sqrt(54)\/(sqrt(6)\/sqrt(3)))\/(3*sqrt(36)))**2.\nAnswer: 2*sqrt(3) + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -286*v. Let a(x) = -384*x + 30. Calculate a(u(b)).\nAnswer: 109824*b + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 7542319.\nAnswer: 7542324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 153*u - 2958. Determine t(18).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = 7. Let q be 27\/(h - 28\/(-8)). Round q to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 227.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251134 is divided by 1931?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 - 181*r - 892. Let b be f(-5). Solve p - 4*z = b, -19*z + 19 = 3*p - 21*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21063, 84263, 189595, 337059, 526655, 758383?\n\"Answer: 21066*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46198078 a multiple of 3077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3638*j*k*u**2 + j*k*u + 14*j*u**2 + 2*j*u + 3651*j + 3*k*u**2 + 4*k*u wrt u.\nAnswer: -7276*j*k + 28*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(48)\/(sqrt(32)\/sqrt(4))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) - sqrt(13))*-4 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)\/(l\/((l*l**4*l)\/l)*l))**(-34)\/((l**4\/l)\/((l\/l**(-1)*l)\/l*l)*l**(-8\/5)\/((l**5\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + (-60)\/(-3). Suppose 17 = h - 10. Calculate the highest common factor of w and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 2 + 682\/(-31). Let v be 388\/(-20) - 4\/(-10). Let z = u - v. What is the third smallest value in 1\/4, -0.3, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/9815 or 1?\nAnswer: -178\/9815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 10970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + u**2\/2 - 3*u - 325. Calculate h(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 149*b**4\/2 + 2598*b - 858. What is the first derivative of q(p) wrt p?\nAnswer: 894*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 14 = 4*w, -3*x - 4*w + 22 = 0. Suppose -4*r + x*k = 74, -4*k = 2*r - 0*k + 62. Let l be (1*238\/r)\/(4\/(-6)). Solve -l = -3*m - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.565 less than -0.023?\nAnswer: 1.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 637*w**3 - 489*w**2 + 1442*w - 320 = 0. What is w?\nAnswer: -2, 1\/4, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-24) + 2)*(-273)\/21.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*c - 15 = 0, 0 = -4*c + 6*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.7403558 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-246)\/4)\/(24\/(-32)). Let t = q - 10. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 39. Suppose c*r - 4*o - 16 = 0, 3*r + 3*o - 5*o = 10. Suppose 2 = 2*n - r. Solve -z + 2*z = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjhyaha. What is prob of sequence hvj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 12. Let s be w(-1). Let n(k) = 2*k + 0 - 5 + 1. Let p be n(s). Solve 5*r + p*v + 5 = 2*v, 0 = 3*r + 5*v - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**4\/13 + 206*b**3\/13 + 8334*b**2\/13 - 177950*b\/13 - 72500\/13 = 0. What is b?\nAnswer: -29, -2\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -84*f - 170. Let w be u(-2). Sort -1714, -5, 0.2, w.\nAnswer: -1714, -5, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(57)\/(2*sqrt(75))*-6 + -4.\nAnswer: -4 - 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801 = -83*w + 146 + 713 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 367 + -139. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99273252553.8 - -0.07\nAnswer: -99273252553.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 2*w - 2. Let t be x(2). Let d = -1 + t. Let m be 574\/8 - d\/(-4). Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5754222 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 bigger than 0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (-3*sqrt(55))\/sqrt(11) + 3).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339765 is divided by 302.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91\/2 - 46. Let y = -0.2 + 0.8. Let w = y + -1.6. What is the nearest to w in -5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d + 84. Determine u(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5480535 - -98?\nAnswer: -5480437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52731860 is divided by 2487?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082 * -1034117.\nAnswer: -84797.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*h**3 - 1 - 1646*h + 1645*h + 115*h**3 + 2*h**2 + 4 as y*h + s*h**3 + w*h**2 + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/115 in 12\/11, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12411 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 7*s + q + 3 = 0, -2*s + 12 = -3*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47164)\/(-1690) - 28)\/((-3)\/(-60))*-13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/7)\/w*w*w**(-1\/2))**(12\/7)\/(((w*w**0)\/w)**(30\/13)*(w*w**(2\/9))\/w**(4\/7)) assuming w is positive.\nAnswer: w**(-17\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/2)\/((-14)\/(-35)). Suppose -l + 64 = 63. Let d be 3207\/l + (0 - q) + -2. Round d to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*t - 24 = 0, -3*t - 3 - 1 = p. Let r(n) = -n**3 + 9*n**2 - 2*n + 3. What is the remainder when r(p) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 - 182. Which is the second smallest value? (a) -3\/5 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/3 - 607\/1. What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 957, 1904, 2851, 3798, 4745?\n\"Answer: 947*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 7*z + 2*z. Suppose z*x + 2*x = 658. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10894451369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**2 + 480*o - 21141. Determine g(-82).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -79, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71853903 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 - 14*t - 27*t + 58*t. Let b(d) be the first derivative of -9*d**2\/2 - d - 30. Determine 11*b(y) + 6*g(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 2*z**3 - 45 + 45.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11443\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2801, 2799, 2797?\n\"Answer: -2*n + 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 865 + 4401 = 0. Let d be 6\/15 - s\/(-4470). Let i = d - 916\/4917. Are 0 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 31. Suppose m + 4*k - 66 = 0, -99 = -p*m - 3*k + 38. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38262 + -38270. What is the fourth biggest value in y, 1, -0.038, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/11 - 125663*r\/11 + 4650900\/11.\nAnswer: -(r - 37)*(r + 125700)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*n - 8009 = 752*n + 2446 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llldlddldddldidddll?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6297238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/126 and -4\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7062)\/(6\/(-77032)*(-7)\/(-21)). Suppose 4*g = 2*x + j, 66742801 = 2*g - 2*x - 69257191. What is g rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -689b - -2?\nAnswer: -6899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383368*i*t**2 - 49*i*t + 302*t wrt t.\nAnswer: 766736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 180\/14 + (-7)\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = o. Suppose 5*t - 2*u = -28, 3*t = t - u - 4. Suppose 3*r - 4*g = 4, -4*r - 2*g = r - 24. Sort t, r, o in descending order.\nAnswer: r, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let w(l) = 891*l + 1718*l + 1113*l. Determine m(w(s)).\nAnswer: 27706568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 317? (a) 4.9 (b) 0.05 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.706280955599 + 0.2?\nAnswer: -2.506280955599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 718169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*u - a - 4*a, -5*u = 3*a - 11. Let s be u\/((-6 - -3) + 7 + -3). Solve -4*n + 5 = s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1370*w**3 + w**2 + 2*w - 2. What are the prime factors of u(1)?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:28 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - 3*z**4\/8 + 2*z**3\/3 - z**2. Suppose -19*s - 58 = 18. Let u be (-14)\/(-3)*(s + (-11)\/(-2)). Calculate m(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4294, -0.19, 417.\nAnswer: -0.19, 417, 4294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b8 (base 15) to base 2.\nAnswer: -1101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26.7084, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16*s = 7860. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(104)\/sqrt(4)*3)\/sqrt(2))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*36\/81*(-300)\/2600?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8882.965 nanograms?\nAnswer: 0.000000008882965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence madg when four letters picked without replacement from gggodgaogaaooosgagm?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 33*g - 29*g - 5*l, -4*l = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + t**2 + 4*t**2 + (-2*t - 2*t + 3*t)*(-2 + 2 + t) + (1 + t**2 - 1)*(7 + 171 - 24) to h + n*t + w*t**2 and give w.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 114. Let j(y) = -y**2. Give j(f(w)).\nAnswer: -w**2 - 228*w - 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 220\/33 - 1\/(-3). Let l(z) = -z**2 - 15*z + a*z + 23 + 7*z. Is l(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*h + h - 5, -3*h - 5 = -k. Suppose 0*i + 5*i - 35 = 0. Is (i\/k - -3)*4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2471590, -2471593, -2471596, -2471599?\nAnswer: -2471602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5\/2*g**2 + 0*g + 4 - 2\/3*g**3 + 3\/4*g**4. Let f(b) = b**3 - b**2 - b. Give -4*f(o) + h(o).\nAnswer: -o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -12 - (12 + 7 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 5) to base 4.\nAnswer: -13101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 258\/13 in 3.65, -2\/3, -3\/2?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-6))\/(607\/(-606) + 1) is divided by -15 - (10 - (40 - -15))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = 4*y, -7*j = -4*y - 5*j + 6. Let c(x) = -12*x**2 + x**3 - 6 - y*x - 9*x**2 + 22*x**2 + 4*x**2. What is c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 329, 994, 2287, 4418?\nAnswer: 7597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - -1 - 81\/(-135)*-10. Which is the closest to -5.8? (a) -2\/9 (b) o (c) 2\/9 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4298938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*r**3 - 12*r**3 - 41*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27414.46 millilitres in litres?\nAnswer: 27.41446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6802, 6753, 6704, 6655?\nAnswer: 6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 1181990*o**2 - 1181988*o.\nAnswer: -2*o*(o + 1)*(o + 590994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 17259.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 12 + 3*j + 0*j**2 + 0*j**3 - 5\/4*j**4. What is the first derivative of x(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (126\/12)\/(3\/4). What is the derivative of -21*c + u*c + 7*c - 27 + 21*c**3 wrt c?\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 7*f + 11. Let p be x(3). Suppose 5*u = 7*u - p. Suppose 0*s - s - 1 = 4*t, 3*t - 3 = -2*s. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 8, i: 7}. Give prob of sequence ihi.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*d + 3 + 1, -3*q + 12 = 2*d. Suppose -d*p = -5 - 1. Determine s so that -s**4 - 3*s**3 - p*s**4 + 0*s**4 + 6*s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**6\/36 + d**5\/180 - d**4\/18 - d**3\/2 - 2*d. Let a(u) be the second derivative of b(u). Suppose a(z) = 0. What is z?\nAnswer: -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h - 11*h - h + 3)*(5 - 7 - 2).\nAnswer: 8*h - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 12*r**2 - 28*r + 14. Does 17 divide g(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 13*h**3\/3 - h**2\/2 + 3*h + 8. What are the prime factors of i(-3)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2143*q. Let j(b) = b**2. Give z(j(v)).\nAnswer: -2143*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27723632 is divided by 22687?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 + 808 = 80*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 4408?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -5 + 10)\/(4\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*l + 2, g + 438*l - 434*l = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 142*d + 13 + 32*d.\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 2, b: 2}. Give prob of sequence da.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 7*l**2 - 1. Let g(k) = -26*k**3 + 2014*k**2 + 7920*k + 7947. Let w(z) = -g(z) - 7*m(z). Determine h, given that w(h) = 0.\nAnswer: -2, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5365*g**3 - 2684*g**3 - 2685*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 3 + 4*a**2 - 3*a**3 - a**3. Let p be w(3). What is the third derivative of -p*o**4 + 3*o**4 - 6*o**2 + 5*o**2 + 3*o**2 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -2 - -9) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 6*w**2 - 2*w - 19. Let m be v(-5). Suppose m*u = 6*u + 4360. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 - -386. What is the nearest to -6\/11 in -2\/11, 3, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*o + 31 = 134, 2*o + 142 = 4*j. Let w = -6593 - -7048. Calculate the highest common divisor of j and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37428, 74871, 112314, 149757, 187200?\nAnswer: 224643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 - 2*d + 3. Suppose -5*p - 10 = -5*o, -2*p - 3*o + 12 = -4. Let y be q(p). Let r be (-21)\/14*-1*2. Solve 0 = 3*h - r - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2267*o**2 - 36017*o - 39. Give m(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 37 = -4*s. Let l = -35 - s. Let r(i) = i**2 - 6*i - 4. Let y be r(7). What is the highest common factor of l and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 604 - 148. Let d(x) = x**3 - 17*x**2 + 136*x - 324. Let c be d(4). Calculate the highest common divisor of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61 - 232*g**3 + 4*g**5 + 61 - 178 + 56 + 228*g**4.\nAnswer: 4*g**3*(g - 1)*(g + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -550 - -549.9999398. Round f to six decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0011 + -0.02. Round o to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*v + 24, 4*v - 1200 + 1260 = 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 - 6*j**2. Let n(y) = 6*y**3 + 7*y**2 - 1. Let l(c) = 4*n(c) + 5*r(c). Let q be l(-3). Let t = 11 - q. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 8. Let d(b) = 1. Let x = -150 + 151. Let p(y) = 44*y - 4. Let h be p(x). What is h*d(g) - 5*l(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 * 13\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/(-450))\/((-4)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 95, 187, 371, 677?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -133638.\nAnswer: -9\/44546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 9. Let s = u + 17. Find the second derivative of 5*n - 2*n - 4*n**4 - 4*n**5 + s*n**4 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + 578\/(-210). Let i = -14\/5 - v. Let p be (2 + 2)*(-5)\/210*1. Which is the third smallest value? (a) p (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.9? (a) 2 (b) 35599 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - q**2 + 2*q + q**2 + (16*q - 669 + 669)*(6*q - 2*q - 3*q) - 2 - 10*q**2 - q + 3 + 6*q**2 to the form d*q + o*q**2 + h and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let x(z) = 2*z**3 - 4*z**v + 2 - 5*z**2 + 7 - 7*z. Is x(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141401 + 2?\nAnswer: 141403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/64 + 187\/320. Let t(l) = -12*l - 371. Let x be t(-31). What is the smallest value in r, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1043209\/3 or 347736?\nAnswer: 347736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - 1 - (3 + -8*84\/(-96)) - 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than 1.525?\nAnswer: -41.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 9020 + 2*k**3 - 9020 + 37*k - 5*k**3 as p + t*k + u*k**3 + w*k**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 3\/50 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -548386621, -1096773243, -1645159865, -2193546487, -2741933109?\n\"Answer: -548386622*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/216300 and -5\/20188.\nAnswer: 1514100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/9 (c) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*h, -3*h = h + 2*j + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/880 and -129\/14662670.\nAnswer: 117301360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -534 + 1194. Suppose o = -2*t + z - 3*z, 2*t - 5*z = -660. What is the tens digit of (-10)\/(-35) - t\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/17 - 14130*d**3\/17 - 425250*d**2\/17 - 3192750*d\/17.\nAnswer: 2*d*(d - 7095)*(d + 15)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/15 - 5*f**4\/24 - 2*f**3\/3 - 6*f**2. Let l be o(-5). Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*m**2 + 0)*(3*m - 2*m - 2*m)*(6 + 0 - 4) - 50*m**3 - 43*m + 43*m.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/3 - z**2\/2 - 20. Let a(h) = -2*h**3 - 4*h**2 - 4*h. Let y(m) = 2*m + 3. Let c be y(-2). Give c*a(v) + 4*p(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422632056 divided by -1829576.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150*21\/420*22\/3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-4))\/(5\/(-20)). Suppose t = -h + 2*r + 3*r, 3*h + 1 = 5*r. Solve 2*m - h - 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25245\/(-3186) - -8)*4\/(-9).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 - 10*j + 14. Let s = 24 + -35. Let f be w(s). Suppose -7 = -2*i - f. Solve -y - 18 = 4*k, -i*k + 2 - 8 = 2*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14801\/4 - -22145\/6. What is the common denominator of 64\/87 and o?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1)**2*6.\nAnswer: -108*sqrt(19) + 9240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*g + 420 = 804*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6676*r**2 - 450?\nAnswer: -13352*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 0 + 2 + 25. Suppose 0 = i + 3, -i + k = 3*f + 2*i. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/2*(-31)\/93. Suppose -g = 2*u + 2*y + 32, -2*u - 4*y = 32. Let h(r) = 11*r**3 - 22*r. Let p(f) = f. What is u*p(t) - h(t)?\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096 + 665 + 440 + 0*a**2 + 4*a**2 - 3*a**2.\nAnswer: a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/28*(-4 - (-4 + -2))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 2. Let z be f(-3). Suppose z*m + 3*v - 99 = 0, 0*m + 2*v = 3*m - 48. Suppose 0 = -o + m - 6. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o**2 - 15*o - 15. List the prime factors of q(-5).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3079203*t**2 + 12297820*t?\nAnswer: -6158406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2397 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let p(l) = l + 3. Let j be p(2). Suppose s = -j*n + 5, 0*s - s - u*n + 8 = 0. Solve -x - x + s = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -74, -125, -196, -293?\n\"Answer: -n**3 - n**2 - 27*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 - 7*q - 8. Suppose -a = -5*i - 12, 0 = 10*a - 6*a - i + 9. Let u be k(a). Put 5, -4, u, -6 in ascending order.\nAnswer: -6, -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5518 + -9879. Which is bigger: -4362 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 25. Let c(v) = 11*v**3 - 6*v**2 - 4*v + 1. Let i(g) = -32*g**3 + 17*g**2 + 11*g - 3. Let q(x) = o*c(x) - 4*i(x). What is q(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 111 = 3*j, j + 7*l + 12 + 35 = -2*l + 4*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333220 divided by 5.\nAnswer: 66644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.1 + -5. Let i be -2*2 - (2 - 12\/(-6)). Let z be (-10)\/i*40\/(-10). Which is the third biggest value? (a) h (b) -1 (c) z (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -3*a + 2*y, 3*a - 5*y - 17 = 0. Let l be 2\/4*(1 + a). Suppose 4*b - 36 = -l*m - 2*m, 3*m = 4*b - 16. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)*o*o**(-31)\/o*o)**(-31\/4) assuming o is positive.\nAnswer: o**(1457\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + 16.38. Let j = z + -13. Put 1, -4\/5, j in descending order.\nAnswer: j, 1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(1600))\/sqrt(8)*-2)**2 + (sqrt(200)\/(sqrt(16)\/sqrt(4)))**2 + 1*(sqrt(50)*-1 + sqrt(2)).\nAnswer: -4*sqrt(2) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -9, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 2*x + 3*x)*(383*x + 816*x - 797*x) + x**2 + x**2 - 4*x**2 + (-2 + 0 + 4)*(-2*x + 2*x + 2*x**2) in the form s*x**2 + b + r*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 + 0*m**2)*(3*m**2 - m**2 + 2*m**2)*(4*m + 8*m + 0*m).\nAnswer: 96*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 76\/15 (b) -0.3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2829\/21 - (-4)\/14. Suppose 54 = 2*x - 5*t, 0*x + 5*t - v = -5*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*l + 6, -2*b + 0*b + 4 = 2*l. Suppose b*a = -2*a. Suppose -5*w + 26 = -4*i, -w + 2*w + 5*i + 18 = a. Solve -w*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*z + u - 0*u, -4*u = -z + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 2997.\nAnswer: -4\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose -5*i = -5*o - 5, -i = n*i - 5*o - 2. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4246 and 12252413.\nAnswer: 12248167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - j = 0, 0*j = t + 5*j. Suppose -v - 4*v + 15 = t. Suppose 4*w + 107 = v*o + 334, -4*w = o - 223. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23718 and 31860.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-12)\/162*((-3060)\/200 - -15). Let -44\/15*o**2 - 14\/15*o**4 + 26\/15*o + v*o**5 - 2\/5 + 12\/5*o**3 = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 + 0.7. Let k = -0.02 + 3.02. Let h = k + q. Which is the third smallest value? (a) 3 (b) h (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (57\/(-6))\/((-2)\/(-20)). Suppose 14*v - n = 228. Let d(l) = 17*l**2 + v*l**2 + l - 41*l**2 + 3 + 3*l. Determine d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38044.1 + -44\nAnswer: -38088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2 - 1\/2*j**2 + j. What is p(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*z + 2236 = 2071, -u = 2*z - 51 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-210) + 291\/(-390).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}